TSTP Solution File: SWV424-1.300 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV424-1.300 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:16:58 EDT 2022
% Result : Unsatisfiable 4.33s 3.12s
% Output : Proof 12.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV424-1.300 : TPTP v8.1.0. Released v3.5.0.
% 0.08/0.15 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.15/0.37 % Computer : n025.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sun Sep 4 03:41:18 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.15/0.38 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.15/0.38 Usage: tptp [options] [-file:]file
% 0.15/0.38 -h, -? prints this message.
% 0.15/0.38 -smt2 print SMT-LIB2 benchmark.
% 0.15/0.38 -m, -model generate model.
% 0.15/0.38 -p, -proof generate proof.
% 0.15/0.38 -c, -core generate unsat core of named formulas.
% 0.15/0.38 -st, -statistics display statistics.
% 0.15/0.38 -t:timeout set timeout (in second).
% 0.15/0.38 -smt2status display status in smt2 format instead of SZS.
% 0.15/0.38 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.15/0.38 -<param>:<value> configuration parameter and value.
% 0.15/0.38 -o:<output-file> file to place output in.
% 4.33/3.12 % SZS status Unsatisfiable
% 4.33/3.12 % SZS output start Proof
% 4.33/3.12 tff(node2_type, type, (
% 4.33/3.12 node2: ( $i * $i ) > $o)).
% 4.33/3.12 tff(s0_type, type, (
% 4.33/3.12 s0: $i)).
% 4.33/3.12 tff(s299_type, type, (
% 4.33/3.12 s299: $i)).
% 4.33/3.12 tff(trans_type, type, (
% 4.33/3.12 trans: ( $i * $i ) > $o)).
% 4.33/3.12 tff(s7_type, type, (
% 4.33/3.12 s7: $i)).
% 4.33/3.12 tff(m_main_v_request_type, type, (
% 4.33/3.12 m_main_v_request: $i > $o)).
% 4.33/3.12 tff(node4_type, type, (
% 4.33/3.12 node4: $i > $o)).
% 4.33/3.12 tff(s1_type, type, (
% 4.33/3.12 s1: $i)).
% 4.33/3.12 tff(xuntil2p8_type, type, (
% 4.33/3.12 xuntil2p8: $i > $o)).
% 4.33/3.12 tff(until2p7_type, type, (
% 4.33/3.12 until2p7: $i > $o)).
% 4.33/3.12 tff(s2_type, type, (
% 4.33/3.12 s2: $i)).
% 4.33/3.12 tff(s3_type, type, (
% 4.33/3.12 s3: $i)).
% 4.33/3.12 tff(m_main_v_state_type, type, (
% 4.33/3.12 m_main_v_state: ( $i * $i ) > $o)).
% 4.33/3.12 tff(c_busy_type, type, (
% 4.33/3.12 c_busy: $i)).
% 4.33/3.12 tff(s4_type, type, (
% 4.33/3.12 s4: $i)).
% 4.33/3.12 tff(always3_type, type, (
% 4.33/3.12 always3: $i > $o)).
% 4.33/3.12 tff(s5_type, type, (
% 4.33/3.12 s5: $i)).
% 4.33/3.12 tff(xuntil6_type, type, (
% 4.33/3.12 xuntil6: $i > $o)).
% 4.33/3.12 tff(until5_type, type, (
% 4.33/3.12 until5: $i > $o)).
% 4.33/3.12 tff(s108_type, type, (
% 4.33/3.12 s108: $i)).
% 4.33/3.12 tff(s107_type, type, (
% 4.33/3.12 s107: $i)).
% 4.33/3.12 tff(s104_type, type, (
% 4.33/3.12 s104: $i)).
% 4.33/3.12 tff(s103_type, type, (
% 4.33/3.12 s103: $i)).
% 4.33/3.12 tff(s102_type, type, (
% 4.33/3.12 s102: $i)).
% 4.33/3.12 tff(s101_type, type, (
% 4.33/3.12 s101: $i)).
% 4.33/3.12 tff(s100_type, type, (
% 4.33/3.12 s100: $i)).
% 4.33/3.12 tff(s99_type, type, (
% 4.33/3.12 s99: $i)).
% 4.33/3.12 tff(s98_type, type, (
% 4.33/3.12 s98: $i)).
% 4.33/3.12 tff(s97_type, type, (
% 4.33/3.12 s97: $i)).
% 4.33/3.12 tff(s96_type, type, (
% 4.33/3.12 s96: $i)).
% 4.33/3.12 tff(s95_type, type, (
% 4.33/3.12 s95: $i)).
% 4.33/3.12 tff(s94_type, type, (
% 4.33/3.12 s94: $i)).
% 4.33/3.12 tff(s93_type, type, (
% 4.33/3.12 s93: $i)).
% 4.33/3.12 tff(s92_type, type, (
% 4.33/3.12 s92: $i)).
% 4.33/3.12 tff(s91_type, type, (
% 4.33/3.12 s91: $i)).
% 4.33/3.12 tff(s90_type, type, (
% 4.33/3.12 s90: $i)).
% 4.33/3.12 tff(s89_type, type, (
% 4.33/3.12 s89: $i)).
% 4.33/3.12 tff(s88_type, type, (
% 4.33/3.12 s88: $i)).
% 4.33/3.12 tff(s87_type, type, (
% 4.33/3.12 s87: $i)).
% 4.33/3.12 tff(s86_type, type, (
% 4.33/3.12 s86: $i)).
% 4.33/3.12 tff(s85_type, type, (
% 4.33/3.12 s85: $i)).
% 4.33/3.12 tff(s76_type, type, (
% 4.33/3.12 s76: $i)).
% 4.33/3.12 tff(s75_type, type, (
% 4.33/3.12 s75: $i)).
% 4.33/3.12 tff(s70_type, type, (
% 4.33/3.12 s70: $i)).
% 4.33/3.12 tff(s69_type, type, (
% 4.33/3.12 s69: $i)).
% 4.33/3.12 tff(s63_type, type, (
% 4.33/3.12 s63: $i)).
% 4.33/3.12 tff(s62_type, type, (
% 4.33/3.12 s62: $i)).
% 4.33/3.12 tff(s61_type, type, (
% 4.33/3.12 s61: $i)).
% 4.33/3.12 tff(s53_type, type, (
% 4.33/3.12 s53: $i)).
% 4.33/3.12 tff(s52_type, type, (
% 4.33/3.12 s52: $i)).
% 4.33/3.12 tff(node1_type, type, (
% 4.33/3.12 node1: $i > $o)).
% 4.33/3.12 tff(s50_type, type, (
% 4.33/3.12 s50: $i)).
% 4.33/3.12 tff(s51_type, type, (
% 4.33/3.12 s51: $i)).
% 4.33/3.12 tff(s49_type, type, (
% 4.33/3.12 s49: $i)).
% 4.33/3.12 tff(s48_type, type, (
% 4.33/3.12 s48: $i)).
% 4.33/3.12 tff(s47_type, type, (
% 4.33/3.12 s47: $i)).
% 4.33/3.12 tff(s46_type, type, (
% 4.33/3.12 s46: $i)).
% 4.33/3.12 tff(s45_type, type, (
% 4.33/3.12 s45: $i)).
% 4.33/3.12 tff(s44_type, type, (
% 4.33/3.12 s44: $i)).
% 4.33/3.12 tff(s43_type, type, (
% 4.33/3.12 s43: $i)).
% 4.33/3.12 tff(s42_type, type, (
% 4.33/3.12 s42: $i)).
% 4.33/3.12 tff(s41_type, type, (
% 4.33/3.12 s41: $i)).
% 4.33/3.12 tff(s40_type, type, (
% 4.33/3.12 s40: $i)).
% 4.33/3.12 tff(s39_type, type, (
% 4.33/3.12 s39: $i)).
% 4.33/3.12 tff(s38_type, type, (
% 4.33/3.12 s38: $i)).
% 4.33/3.12 tff(s37_type, type, (
% 4.33/3.12 s37: $i)).
% 4.33/3.12 tff(s36_type, type, (
% 4.33/3.12 s36: $i)).
% 4.33/3.12 tff(s35_type, type, (
% 4.33/3.12 s35: $i)).
% 4.33/3.12 tff(s34_type, type, (
% 4.33/3.12 s34: $i)).
% 4.33/3.12 tff(s33_type, type, (
% 4.33/3.12 s33: $i)).
% 4.33/3.12 tff(s32_type, type, (
% 4.33/3.12 s32: $i)).
% 4.33/3.12 tff(s31_type, type, (
% 4.33/3.12 s31: $i)).
% 4.33/3.12 tff(s30_type, type, (
% 4.33/3.12 s30: $i)).
% 4.33/3.12 tff(s29_type, type, (
% 4.33/3.12 s29: $i)).
% 4.33/3.12 tff(c_ready_type, type, (
% 4.33/3.12 c_ready: $i)).
% 4.33/3.12 tff(succ_type, type, (
% 4.33/3.12 succ: ( $i * $i ) > $o)).
% 4.33/3.12 tff(s12_type, type, (
% 4.33/3.12 s12: $i)).
% 4.33/3.12 tff(s11_type, type, (
% 4.33/3.12 s11: $i)).
% 4.33/3.12 tff(s6_type, type, (
% 4.33/3.12 s6: $i)).
% 4.33/3.12 tff(s8_type, type, (
% 4.33/3.12 s8: $i)).
% 4.33/3.12 tff(s9_type, type, (
% 4.33/3.12 s9: $i)).
% 4.33/3.12 tff(s10_type, type, (
% 4.33/3.12 s10: $i)).
% 4.33/3.12 tff(s13_type, type, (
% 4.33/3.12 s13: $i)).
% 4.33/3.12 tff(s14_type, type, (
% 4.33/3.12 s14: $i)).
% 4.33/3.12 tff(s15_type, type, (
% 4.33/3.12 s15: $i)).
% 4.33/3.12 tff(s16_type, type, (
% 4.33/3.12 s16: $i)).
% 4.33/3.12 tff(s17_type, type, (
% 4.33/3.12 s17: $i)).
% 4.33/3.12 tff(s18_type, type, (
% 4.33/3.12 s18: $i)).
% 4.33/3.12 tff(s19_type, type, (
% 4.33/3.12 s19: $i)).
% 4.33/3.12 tff(s20_type, type, (
% 4.33/3.12 s20: $i)).
% 4.33/3.12 tff(s21_type, type, (
% 4.33/3.12 s21: $i)).
% 4.33/3.12 tff(s22_type, type, (
% 4.33/3.12 s22: $i)).
% 4.33/3.12 tff(s24_type, type, (
% 4.33/3.12 s24: $i)).
% 4.33/3.12 tff(s25_type, type, (
% 4.33/3.12 s25: $i)).
% 4.33/3.12 tff(s26_type, type, (
% 4.33/3.12 s26: $i)).
% 4.33/3.12 tff(s27_type, type, (
% 4.33/3.12 s27: $i)).
% 4.33/3.12 tff(s28_type, type, (
% 4.33/3.12 s28: $i)).
% 4.33/3.12 tff(s23_type, type, (
% 4.33/3.12 s23: $i)).
% 4.33/3.12 tff(s56_type, type, (
% 4.33/3.12 s56: $i)).
% 4.33/3.12 tff(s55_type, type, (
% 4.33/3.12 s55: $i)).
% 4.33/3.12 tff(s54_type, type, (
% 4.33/3.12 s54: $i)).
% 4.33/3.12 tff(s298_type, type, (
% 4.33/3.12 s298: $i)).
% 4.33/3.12 tff(s297_type, type, (
% 4.33/3.12 s297: $i)).
% 4.33/3.12 tff(s296_type, type, (
% 4.33/3.12 s296: $i)).
% 4.33/3.12 tff(s295_type, type, (
% 4.33/3.12 s295: $i)).
% 4.33/3.12 tff(s294_type, type, (
% 4.33/3.12 s294: $i)).
% 4.33/3.12 tff(s293_type, type, (
% 4.33/3.12 s293: $i)).
% 4.33/3.12 tff(s292_type, type, (
% 4.33/3.12 s292: $i)).
% 4.33/3.12 tff(s291_type, type, (
% 4.33/3.12 s291: $i)).
% 4.33/3.12 tff(s290_type, type, (
% 4.33/3.12 s290: $i)).
% 4.33/3.12 tff(s289_type, type, (
% 4.33/3.12 s289: $i)).
% 4.33/3.12 tff(s288_type, type, (
% 4.33/3.12 s288: $i)).
% 4.33/3.12 tff(s287_type, type, (
% 4.33/3.12 s287: $i)).
% 4.33/3.12 tff(s275_type, type, (
% 4.33/3.12 s275: $i)).
% 4.33/3.12 tff(s274_type, type, (
% 4.33/3.12 s274: $i)).
% 4.33/3.12 tff(s272_type, type, (
% 4.33/3.12 s272: $i)).
% 4.33/3.12 tff(s271_type, type, (
% 4.33/3.12 s271: $i)).
% 4.33/3.12 tff(s270_type, type, (
% 4.33/3.12 s270: $i)).
% 4.33/3.12 tff(s269_type, type, (
% 4.33/3.12 s269: $i)).
% 4.33/3.12 tff(s268_type, type, (
% 4.33/3.12 s268: $i)).
% 4.33/3.12 tff(s273_type, type, (
% 4.33/3.12 s273: $i)).
% 4.33/3.12 tff(s276_type, type, (
% 4.33/3.12 s276: $i)).
% 4.33/3.12 tff(s277_type, type, (
% 4.33/3.12 s277: $i)).
% 4.33/3.12 tff(s278_type, type, (
% 4.33/3.12 s278: $i)).
% 4.33/3.12 tff(s279_type, type, (
% 4.33/3.12 s279: $i)).
% 4.33/3.12 tff(s280_type, type, (
% 4.33/3.12 s280: $i)).
% 4.33/3.12 tff(s281_type, type, (
% 4.33/3.12 s281: $i)).
% 4.33/3.12 tff(s282_type, type, (
% 4.33/3.12 s282: $i)).
% 4.33/3.12 tff(s283_type, type, (
% 4.33/3.12 s283: $i)).
% 4.33/3.12 tff(s284_type, type, (
% 4.33/3.12 s284: $i)).
% 4.33/3.12 tff(s285_type, type, (
% 4.33/3.12 s285: $i)).
% 4.33/3.12 tff(s286_type, type, (
% 4.33/3.12 s286: $i)).
% 4.33/3.12 tff(s255_type, type, (
% 4.33/3.12 s255: $i)).
% 4.33/3.12 tff(s254_type, type, (
% 4.33/3.12 s254: $i)).
% 4.33/3.12 tff(s253_type, type, (
% 4.33/3.12 s253: $i)).
% 4.33/3.12 tff(s252_type, type, (
% 4.33/3.12 s252: $i)).
% 4.33/3.12 tff(s251_type, type, (
% 4.33/3.12 s251: $i)).
% 4.33/3.12 tff(s250_type, type, (
% 4.33/3.12 s250: $i)).
% 4.33/3.12 tff(s249_type, type, (
% 4.33/3.12 s249: $i)).
% 4.33/3.12 tff(s248_type, type, (
% 4.33/3.12 s248: $i)).
% 4.33/3.12 tff(s247_type, type, (
% 4.33/3.12 s247: $i)).
% 4.33/3.12 tff(s246_type, type, (
% 4.33/3.12 s246: $i)).
% 4.33/3.12 tff(s245_type, type, (
% 4.33/3.12 s245: $i)).
% 4.33/3.12 tff(s244_type, type, (
% 4.33/3.12 s244: $i)).
% 4.33/3.12 tff(s243_type, type, (
% 4.33/3.12 s243: $i)).
% 4.33/3.12 tff(s242_type, type, (
% 4.33/3.12 s242: $i)).
% 4.33/3.12 tff(s241_type, type, (
% 4.33/3.12 s241: $i)).
% 4.33/3.12 tff(s240_type, type, (
% 4.33/3.12 s240: $i)).
% 4.33/3.12 tff(s239_type, type, (
% 4.33/3.12 s239: $i)).
% 4.33/3.12 tff(s238_type, type, (
% 4.33/3.12 s238: $i)).
% 4.33/3.12 tff(s237_type, type, (
% 4.33/3.12 s237: $i)).
% 4.33/3.12 tff(s236_type, type, (
% 4.33/3.12 s236: $i)).
% 4.33/3.12 tff(s235_type, type, (
% 4.33/3.12 s235: $i)).
% 4.33/3.12 tff(s256_type, type, (
% 4.33/3.12 s256: $i)).
% 4.33/3.12 tff(s257_type, type, (
% 4.33/3.12 s257: $i)).
% 4.33/3.12 tff(s258_type, type, (
% 4.33/3.12 s258: $i)).
% 4.33/3.12 tff(s259_type, type, (
% 4.33/3.12 s259: $i)).
% 4.33/3.12 tff(s260_type, type, (
% 4.33/3.12 s260: $i)).
% 4.33/3.12 tff(s261_type, type, (
% 4.33/3.12 s261: $i)).
% 4.33/3.12 tff(s262_type, type, (
% 4.33/3.12 s262: $i)).
% 4.33/3.12 tff(s263_type, type, (
% 4.33/3.12 s263: $i)).
% 4.33/3.12 tff(s264_type, type, (
% 4.33/3.12 s264: $i)).
% 4.33/3.12 tff(s265_type, type, (
% 4.33/3.12 s265: $i)).
% 4.33/3.12 tff(s266_type, type, (
% 4.33/3.12 s266: $i)).
% 4.33/3.12 tff(s267_type, type, (
% 4.33/3.12 s267: $i)).
% 4.33/3.12 tff(s222_type, type, (
% 4.33/3.12 s222: $i)).
% 4.33/3.12 tff(s221_type, type, (
% 4.33/3.12 s221: $i)).
% 4.33/3.12 tff(s220_type, type, (
% 4.33/3.12 s220: $i)).
% 4.33/3.12 tff(s223_type, type, (
% 4.33/3.12 s223: $i)).
% 4.33/3.12 tff(s224_type, type, (
% 4.33/3.12 s224: $i)).
% 4.33/3.12 tff(s225_type, type, (
% 4.33/3.12 s225: $i)).
% 4.33/3.12 tff(s226_type, type, (
% 4.33/3.12 s226: $i)).
% 4.33/3.12 tff(s227_type, type, (
% 4.33/3.12 s227: $i)).
% 4.33/3.12 tff(s228_type, type, (
% 4.33/3.12 s228: $i)).
% 4.33/3.12 tff(s229_type, type, (
% 4.33/3.12 s229: $i)).
% 4.33/3.12 tff(s230_type, type, (
% 4.33/3.12 s230: $i)).
% 4.33/3.12 tff(s231_type, type, (
% 4.33/3.12 s231: $i)).
% 4.33/3.12 tff(s232_type, type, (
% 4.33/3.12 s232: $i)).
% 4.33/3.12 tff(s233_type, type, (
% 4.33/3.12 s233: $i)).
% 4.33/3.12 tff(s234_type, type, (
% 4.33/3.12 s234: $i)).
% 4.33/3.12 tff(s202_type, type, (
% 4.33/3.12 s202: $i)).
% 4.33/3.12 tff(s201_type, type, (
% 4.33/3.12 s201: $i)).
% 4.33/3.12 tff(s200_type, type, (
% 4.33/3.12 s200: $i)).
% 4.33/3.12 tff(s203_type, type, (
% 4.33/3.12 s203: $i)).
% 4.33/3.12 tff(s204_type, type, (
% 4.33/3.12 s204: $i)).
% 4.33/3.12 tff(s205_type, type, (
% 4.33/3.12 s205: $i)).
% 4.33/3.12 tff(s206_type, type, (
% 4.33/3.12 s206: $i)).
% 4.33/3.12 tff(s207_type, type, (
% 4.33/3.12 s207: $i)).
% 4.33/3.12 tff(s208_type, type, (
% 4.33/3.12 s208: $i)).
% 4.33/3.12 tff(s209_type, type, (
% 4.33/3.12 s209: $i)).
% 4.33/3.12 tff(s210_type, type, (
% 4.33/3.12 s210: $i)).
% 4.33/3.12 tff(s211_type, type, (
% 4.33/3.12 s211: $i)).
% 4.33/3.12 tff(s212_type, type, (
% 4.33/3.12 s212: $i)).
% 4.33/3.12 tff(s213_type, type, (
% 4.33/3.12 s213: $i)).
% 4.33/3.12 tff(s214_type, type, (
% 4.33/3.12 s214: $i)).
% 4.33/3.12 tff(s215_type, type, (
% 4.33/3.12 s215: $i)).
% 4.33/3.12 tff(s216_type, type, (
% 4.33/3.12 s216: $i)).
% 4.33/3.12 tff(s217_type, type, (
% 4.33/3.12 s217: $i)).
% 4.33/3.12 tff(s218_type, type, (
% 4.33/3.12 s218: $i)).
% 4.33/3.12 tff(s219_type, type, (
% 4.33/3.12 s219: $i)).
% 4.33/3.12 tff(s185_type, type, (
% 4.33/3.12 s185: $i)).
% 4.33/3.12 tff(s184_type, type, (
% 4.33/3.12 s184: $i)).
% 4.33/3.12 tff(s183_type, type, (
% 4.33/3.12 s183: $i)).
% 4.33/3.12 tff(s182_type, type, (
% 4.33/3.12 s182: $i)).
% 4.33/3.12 tff(s181_type, type, (
% 4.33/3.12 s181: $i)).
% 4.33/3.12 tff(s180_type, type, (
% 4.33/3.12 s180: $i)).
% 4.33/3.12 tff(s179_type, type, (
% 4.33/3.12 s179: $i)).
% 4.33/3.12 tff(s178_type, type, (
% 4.33/3.12 s178: $i)).
% 4.33/3.12 tff(s177_type, type, (
% 4.33/3.12 s177: $i)).
% 4.33/3.12 tff(s176_type, type, (
% 4.33/3.12 s176: $i)).
% 4.33/3.12 tff(s175_type, type, (
% 4.33/3.12 s175: $i)).
% 4.33/3.12 tff(s174_type, type, (
% 4.33/3.12 s174: $i)).
% 4.33/3.12 tff(s173_type, type, (
% 4.33/3.12 s173: $i)).
% 4.33/3.12 tff(s172_type, type, (
% 4.33/3.12 s172: $i)).
% 4.33/3.12 tff(s171_type, type, (
% 4.33/3.12 s171: $i)).
% 4.33/3.12 tff(s170_type, type, (
% 4.33/3.12 s170: $i)).
% 4.33/3.12 tff(s169_type, type, (
% 4.33/3.12 s169: $i)).
% 4.33/3.12 tff(s168_type, type, (
% 4.33/3.12 s168: $i)).
% 4.33/3.12 tff(s167_type, type, (
% 4.33/3.12 s167: $i)).
% 4.33/3.12 tff(s166_type, type, (
% 4.33/3.12 s166: $i)).
% 4.33/3.12 tff(s165_type, type, (
% 4.33/3.12 s165: $i)).
% 4.33/3.12 tff(s164_type, type, (
% 4.33/3.12 s164: $i)).
% 4.33/3.12 tff(s163_type, type, (
% 4.33/3.12 s163: $i)).
% 4.33/3.12 tff(s162_type, type, (
% 4.33/3.12 s162: $i)).
% 4.33/3.12 tff(s161_type, type, (
% 4.33/3.12 s161: $i)).
% 4.33/3.12 tff(s160_type, type, (
% 4.33/3.12 s160: $i)).
% 4.33/3.12 tff(s159_type, type, (
% 4.33/3.12 s159: $i)).
% 4.33/3.12 tff(s158_type, type, (
% 4.33/3.12 s158: $i)).
% 4.33/3.12 tff(s157_type, type, (
% 4.33/3.12 s157: $i)).
% 4.33/3.12 tff(s156_type, type, (
% 4.33/3.12 s156: $i)).
% 4.33/3.12 tff(s155_type, type, (
% 4.33/3.12 s155: $i)).
% 4.33/3.12 tff(s154_type, type, (
% 4.33/3.12 s154: $i)).
% 4.33/3.12 tff(s153_type, type, (
% 4.33/3.12 s153: $i)).
% 4.33/3.12 tff(s152_type, type, (
% 4.33/3.12 s152: $i)).
% 4.33/3.12 tff(s151_type, type, (
% 4.33/3.12 s151: $i)).
% 4.33/3.12 tff(s150_type, type, (
% 4.33/3.12 s150: $i)).
% 4.33/3.12 tff(s149_type, type, (
% 4.33/3.12 s149: $i)).
% 4.33/3.12 tff(s148_type, type, (
% 4.33/3.12 s148: $i)).
% 4.33/3.12 tff(s147_type, type, (
% 4.33/3.12 s147: $i)).
% 4.33/3.12 tff(s146_type, type, (
% 4.33/3.12 s146: $i)).
% 4.33/3.12 tff(s145_type, type, (
% 4.33/3.12 s145: $i)).
% 4.33/3.12 tff(s144_type, type, (
% 4.33/3.12 s144: $i)).
% 4.33/3.12 tff(s143_type, type, (
% 4.33/3.12 s143: $i)).
% 4.33/3.12 tff(s142_type, type, (
% 4.33/3.12 s142: $i)).
% 4.33/3.12 tff(s141_type, type, (
% 4.33/3.12 s141: $i)).
% 4.33/3.12 tff(s140_type, type, (
% 4.33/3.12 s140: $i)).
% 4.33/3.12 tff(s139_type, type, (
% 4.33/3.12 s139: $i)).
% 4.33/3.12 tff(s138_type, type, (
% 4.33/3.12 s138: $i)).
% 4.33/3.12 tff(s137_type, type, (
% 4.33/3.12 s137: $i)).
% 4.33/3.12 tff(s136_type, type, (
% 4.33/3.12 s136: $i)).
% 4.33/3.12 tff(s135_type, type, (
% 4.33/3.12 s135: $i)).
% 4.33/3.12 tff(s134_type, type, (
% 4.33/3.12 s134: $i)).
% 4.33/3.12 tff(s133_type, type, (
% 4.33/3.12 s133: $i)).
% 4.33/3.12 tff(s132_type, type, (
% 4.33/3.12 s132: $i)).
% 4.33/3.12 tff(s131_type, type, (
% 4.33/3.12 s131: $i)).
% 4.33/3.12 tff(s130_type, type, (
% 4.33/3.12 s130: $i)).
% 4.33/3.12 tff(s129_type, type, (
% 4.33/3.12 s129: $i)).
% 4.33/3.12 tff(s128_type, type, (
% 4.33/3.12 s128: $i)).
% 4.33/3.12 tff(s127_type, type, (
% 4.33/3.12 s127: $i)).
% 4.33/3.12 tff(s126_type, type, (
% 4.33/3.12 s126: $i)).
% 4.33/3.12 tff(s125_type, type, (
% 4.33/3.12 s125: $i)).
% 4.33/3.12 tff(s124_type, type, (
% 4.33/3.12 s124: $i)).
% 4.33/3.12 tff(s123_type, type, (
% 4.33/3.12 s123: $i)).
% 4.33/3.12 tff(s122_type, type, (
% 4.33/3.12 s122: $i)).
% 4.33/3.12 tff(s121_type, type, (
% 4.33/3.12 s121: $i)).
% 4.33/3.12 tff(s120_type, type, (
% 4.33/3.12 s120: $i)).
% 4.33/3.12 tff(s119_type, type, (
% 4.33/3.12 s119: $i)).
% 4.33/3.12 tff(s118_type, type, (
% 4.33/3.12 s118: $i)).
% 4.33/3.12 tff(s117_type, type, (
% 4.33/3.12 s117: $i)).
% 4.33/3.12 tff(s116_type, type, (
% 4.33/3.12 s116: $i)).
% 4.33/3.12 tff(s115_type, type, (
% 4.33/3.12 s115: $i)).
% 4.33/3.12 tff(s114_type, type, (
% 4.33/3.12 s114: $i)).
% 4.33/3.12 tff(s113_type, type, (
% 4.33/3.12 s113: $i)).
% 4.33/3.12 tff(s112_type, type, (
% 4.33/3.12 s112: $i)).
% 4.33/3.12 tff(s111_type, type, (
% 4.33/3.12 s111: $i)).
% 4.33/3.12 tff(s110_type, type, (
% 4.33/3.12 s110: $i)).
% 4.33/3.12 tff(s109_type, type, (
% 4.33/3.12 s109: $i)).
% 4.33/3.12 tff(s106_type, type, (
% 4.33/3.12 s106: $i)).
% 4.33/3.12 tff(s105_type, type, (
% 4.33/3.12 s105: $i)).
% 4.33/3.12 tff(s186_type, type, (
% 4.33/3.12 s186: $i)).
% 4.33/3.12 tff(s187_type, type, (
% 4.33/3.12 s187: $i)).
% 4.33/3.12 tff(s188_type, type, (
% 4.33/3.12 s188: $i)).
% 4.33/3.12 tff(s189_type, type, (
% 4.33/3.12 s189: $i)).
% 4.33/3.12 tff(s190_type, type, (
% 4.33/3.12 s190: $i)).
% 4.33/3.12 tff(s191_type, type, (
% 4.33/3.12 s191: $i)).
% 4.33/3.12 tff(s192_type, type, (
% 4.33/3.12 s192: $i)).
% 4.33/3.12 tff(s193_type, type, (
% 4.33/3.12 s193: $i)).
% 4.33/3.12 tff(s194_type, type, (
% 4.33/3.12 s194: $i)).
% 4.33/3.12 tff(s195_type, type, (
% 4.33/3.12 s195: $i)).
% 4.33/3.12 tff(s196_type, type, (
% 4.33/3.12 s196: $i)).
% 4.33/3.12 tff(s197_type, type, (
% 4.33/3.12 s197: $i)).
% 4.33/3.12 tff(s198_type, type, (
% 4.33/3.12 s198: $i)).
% 4.33/3.12 tff(s199_type, type, (
% 4.33/3.12 s199: $i)).
% 4.33/3.12 tff(s84_type, type, (
% 4.33/3.12 s84: $i)).
% 4.33/3.12 tff(s77_type, type, (
% 4.33/3.12 s77: $i)).
% 4.33/3.12 tff(s78_type, type, (
% 4.33/3.12 s78: $i)).
% 4.33/3.12 tff(s79_type, type, (
% 4.33/3.12 s79: $i)).
% 4.33/3.12 tff(s80_type, type, (
% 4.33/3.12 s80: $i)).
% 4.33/3.12 tff(s81_type, type, (
% 4.33/3.12 s81: $i)).
% 4.33/3.12 tff(s82_type, type, (
% 4.33/3.12 s82: $i)).
% 4.33/3.12 tff(s83_type, type, (
% 4.33/3.12 s83: $i)).
% 4.33/3.12 tff(s57_type, type, (
% 4.33/3.12 s57: $i)).
% 4.33/3.12 tff(s58_type, type, (
% 4.33/3.12 s58: $i)).
% 4.33/3.12 tff(s59_type, type, (
% 4.33/3.12 s59: $i)).
% 4.33/3.12 tff(s60_type, type, (
% 4.33/3.12 s60: $i)).
% 4.33/3.12 tff(s64_type, type, (
% 4.33/3.12 s64: $i)).
% 4.33/3.12 tff(s65_type, type, (
% 4.33/3.12 s65: $i)).
% 4.33/3.12 tff(s66_type, type, (
% 4.33/3.12 s66: $i)).
% 4.33/3.12 tff(s67_type, type, (
% 4.33/3.12 s67: $i)).
% 4.33/3.12 tff(s68_type, type, (
% 4.33/3.12 s68: $i)).
% 4.33/3.12 tff(s71_type, type, (
% 4.33/3.12 s71: $i)).
% 4.33/3.12 tff(s72_type, type, (
% 4.33/3.12 s72: $i)).
% 4.33/3.12 tff(s73_type, type, (
% 4.33/3.12 s73: $i)).
% 4.33/3.12 tff(s74_type, type, (
% 4.33/3.12 s74: $i)).
% 4.33/3.12 tff(last_type, type, (
% 4.33/3.12 last: $i > $o)).
% 4.33/3.12 tff(loop_type, type, (
% 4.33/3.12 loop: $o)).
% 4.33/3.12 tff(1,plain,
% 4.33/3.12 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | node2(X, Y)) <=> ((~trans(X, Y)) | node2(X, Y)))),
% 4.33/3.12 inference(bind,[status(th)],[])).
% 4.33/3.12 tff(2,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 4.33/3.12 inference(quant_intro,[status(thm)],[1])).
% 4.33/3.12 tff(3,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(4,axiom,(![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_8')).
% 4.33/3.12 tff(5,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[4, 3])).
% 4.33/3.12 tff(6,plain,(
% 4.33/3.12 ![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 4.33/3.12 inference(skolemize,[status(sab)],[5])).
% 4.33/3.12 tff(7,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[6, 2])).
% 4.33/3.12 tff(8,assumption,(node2(s299, s7)), introduced(assumption)).
% 4.33/3.12 tff(9,assumption,(~m_main_v_request(s299)), introduced(assumption)).
% 4.33/3.12 tff(10,assumption,(node4(s299)), introduced(assumption)).
% 4.33/3.12 tff(11,plain,
% 4.33/3.12 (^[X: $i] : refl((m_main_v_request(X) | (~node4(X))) <=> (m_main_v_request(X) | (~node4(X))))),
% 4.33/3.12 inference(bind,[status(th)],[])).
% 4.33/3.12 tff(12,plain,
% 4.33/3.12 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 4.33/3.12 inference(quant_intro,[status(thm)],[11])).
% 4.33/3.12 tff(13,plain,
% 4.33/3.12 (![X: $i] : (m_main_v_request(X) | (~node4(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(14,axiom,(![X: $i] : (m_main_v_request(X) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty4')).
% 4.33/3.12 tff(15,plain,
% 4.33/3.12 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[14, 13])).
% 4.33/3.12 tff(16,plain,(
% 4.33/3.12 ![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 4.33/3.12 inference(skolemize,[status(sab)],[15])).
% 4.33/3.12 tff(17,plain,
% 4.33/3.12 (![X: $i] : (m_main_v_request(X) | (~node4(X)))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[16, 12])).
% 4.33/3.12 tff(18,plain,
% 4.33/3.12 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s299) | (~node4(s299)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s299) | (~node4(s299)))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(19,plain,
% 4.33/3.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s299) | (~node4(s299)))),
% 4.33/3.12 inference(quant_inst,[status(thm)],[])).
% 4.33/3.12 tff(20,plain,
% 4.33/3.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s299) | (~node4(s299))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[19, 18])).
% 4.33/3.12 tff(21,plain,
% 4.33/3.12 ($false),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[20, 17, 10, 9])).
% 4.33/3.12 tff(22,plain,((~node4(s299)) | m_main_v_request(s299)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.12 tff(23,plain,
% 4.33/3.12 (~node4(s299)),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[22, 9])).
% 4.33/3.12 tff(24,assumption,(node4(s47)), introduced(assumption)).
% 4.33/3.12 tff(25,plain,
% 4.33/3.12 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s47) | (~node4(s47)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s47) | (~node4(s47)))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(26,plain,
% 4.33/3.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s47) | (~node4(s47)))),
% 4.33/3.12 inference(quant_inst,[status(thm)],[])).
% 4.33/3.12 tff(27,plain,
% 4.33/3.12 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s47) | (~node4(s47))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[26, 25])).
% 4.33/3.12 tff(28,plain,
% 4.33/3.12 (m_main_v_request(s47)),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[27, 17, 24])).
% 4.33/3.12 tff(29,plain,
% 4.33/3.12 (^[X: $i] : refl((always3(X) | (~node4(X))) <=> (always3(X) | (~node4(X))))),
% 4.33/3.12 inference(bind,[status(th)],[])).
% 4.33/3.12 tff(30,plain,
% 4.33/3.12 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 4.33/3.12 inference(quant_intro,[status(thm)],[29])).
% 4.33/3.12 tff(31,plain,
% 4.33/3.12 (![X: $i] : (always3(X) | (~node4(X))) <=> ![X: $i] : (always3(X) | (~node4(X)))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(32,axiom,(![X: $i] : (always3(X) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty5')).
% 4.33/3.12 tff(33,plain,
% 4.33/3.12 (![X: $i] : (always3(X) | (~node4(X)))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[32, 31])).
% 4.33/3.12 tff(34,plain,(
% 4.33/3.12 ![X: $i] : (always3(X) | (~node4(X)))),
% 4.33/3.12 inference(skolemize,[status(sab)],[33])).
% 4.33/3.12 tff(35,plain,
% 4.33/3.12 (![X: $i] : (always3(X) | (~node4(X)))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[34, 30])).
% 4.33/3.12 tff(36,plain,
% 4.33/3.12 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47)))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(37,plain,
% 4.33/3.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s47) | (~node4(s47)))),
% 4.33/3.12 inference(quant_inst,[status(thm)],[])).
% 4.33/3.12 tff(38,plain,
% 4.33/3.12 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s47) | (~node4(s47))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[37, 36])).
% 4.33/3.12 tff(39,plain,
% 4.33/3.12 (always3(s47)),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[38, 35, 24])).
% 4.33/3.12 tff(40,plain,
% 4.33/3.12 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 4.33/3.12 inference(bind,[status(th)],[])).
% 4.33/3.12 tff(41,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.33/3.12 inference(quant_intro,[status(thm)],[40])).
% 4.33/3.12 tff(42,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(43,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound301')).
% 4.33/3.12 tff(44,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[43, 42])).
% 4.33/3.12 tff(45,plain,(
% 4.33/3.12 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.33/3.12 inference(skolemize,[status(sab)],[44])).
% 4.33/3.12 tff(46,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[45, 41])).
% 4.33/3.12 tff(47,plain,
% 4.33/3.12 (succ(s47, s48) <=> succ(s47, s48)),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(48,axiom,(succ(s47, s48)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound48')).
% 4.33/3.12 tff(49,plain,
% 4.33/3.12 (succ(s47, s48)),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[48, 47])).
% 4.33/3.12 tff(50,plain,
% 4.33/3.12 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(51,plain,
% 4.33/3.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s47, s48)) | trans(s47, s48))),
% 4.33/3.12 inference(quant_inst,[status(thm)],[])).
% 4.33/3.12 tff(52,plain,
% 4.33/3.12 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s47, s48)) | trans(s47, s48)),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[51, 50])).
% 4.33/3.12 tff(53,plain,
% 4.33/3.12 (trans(s47, s48)),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[52, 49, 46])).
% 4.33/3.12 tff(54,plain,
% 4.33/3.12 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 4.33/3.12 inference(bind,[status(th)],[])).
% 4.33/3.12 tff(55,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 4.33/3.12 inference(quant_intro,[status(thm)],[54])).
% 4.33/3.12 tff(56,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(57,plain,
% 4.33/3.12 (^[Y: $i, X: $i] : rewrite(((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ((~trans(X, Y)) | (~always3(X)) | always3(Y)))),
% 4.33/3.12 inference(bind,[status(th)],[])).
% 4.33/3.12 tff(58,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 4.33/3.12 inference(quant_intro,[status(thm)],[57])).
% 4.33/3.12 tff(59,axiom,(![Y: $i, X: $i] : ((always3(Y) | (~trans(X, Y))) | (~always3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty2')).
% 4.33/3.12 tff(60,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[59, 58])).
% 4.33/3.12 tff(61,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[60, 56])).
% 4.33/3.12 tff(62,plain,(
% 4.33/3.12 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 4.33/3.12 inference(skolemize,[status(sab)],[61])).
% 4.33/3.12 tff(63,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[62, 55])).
% 4.33/3.12 tff(64,plain,
% 4.33/3.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(65,plain,
% 4.33/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s47, s48)) | (~always3(s47)) | always3(s48))),
% 4.33/3.12 inference(quant_inst,[status(thm)],[])).
% 4.33/3.12 tff(66,plain,
% 4.33/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s47, s48)) | (~always3(s47)) | always3(s48)),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[65, 64])).
% 4.33/3.12 tff(67,plain,
% 4.33/3.12 ((~always3(s47)) | always3(s48)),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[66, 63, 53])).
% 4.33/3.12 tff(68,plain,
% 4.33/3.12 (always3(s48)),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[67, 39])).
% 4.33/3.12 tff(69,plain,
% 4.33/3.12 (^[X: $i] : refl(((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ((~m_main_v_state(X, c_busy)) | (~always3(X))))),
% 4.33/3.12 inference(bind,[status(th)],[])).
% 4.33/3.12 tff(70,plain,
% 4.33/3.12 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 4.33/3.12 inference(quant_intro,[status(thm)],[69])).
% 4.33/3.12 tff(71,plain,
% 4.33/3.12 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X))) <=> ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(72,axiom,(![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty1')).
% 4.33/3.12 tff(73,plain,
% 4.33/3.12 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[72, 71])).
% 4.33/3.12 tff(74,plain,(
% 4.33/3.12 ![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 4.33/3.12 inference(skolemize,[status(sab)],[73])).
% 4.33/3.12 tff(75,plain,
% 4.33/3.12 (![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[74, 70])).
% 4.33/3.12 tff(76,plain,
% 4.33/3.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s48)) | (~m_main_v_state(s48, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(77,plain,
% 4.33/3.12 (((~m_main_v_state(s48, c_busy)) | (~always3(s48))) <=> ((~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(78,plain,
% 4.33/3.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s48)) | (~m_main_v_state(s48, c_busy))))),
% 4.33/3.12 inference(monotonicity,[status(thm)],[77])).
% 4.33/3.12 tff(79,plain,
% 4.33/3.12 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy)))),
% 4.33/3.12 inference(transitivity,[status(thm)],[78, 76])).
% 4.33/3.12 tff(80,plain,
% 4.33/3.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s48, c_busy)) | (~always3(s48)))),
% 4.33/3.12 inference(quant_inst,[status(thm)],[])).
% 4.33/3.12 tff(81,plain,
% 4.33/3.12 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s48)) | (~m_main_v_state(s48, c_busy))),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[80, 79])).
% 4.33/3.12 tff(82,plain,
% 4.33/3.12 (~m_main_v_state(s48, c_busy)),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[81, 75, 68])).
% 4.33/3.12 tff(83,plain,
% 4.33/3.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s47, s48)) | node2(s47, s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s47, s48)) | node2(s47, s48))),
% 4.33/3.12 inference(rewrite,[status(thm)],[])).
% 4.33/3.12 tff(84,plain,
% 4.33/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s47, s48)) | node2(s47, s48))),
% 4.33/3.12 inference(quant_inst,[status(thm)],[])).
% 4.33/3.12 tff(85,plain,
% 4.33/3.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s47, s48)) | node2(s47, s48)),
% 4.33/3.12 inference(modus_ponens,[status(thm)],[84, 83])).
% 4.33/3.12 tff(86,plain,
% 4.33/3.12 (node2(s47, s48)),
% 4.33/3.12 inference(unit_resolution,[status(thm)],[85, 7, 53])).
% 4.33/3.12 tff(87,plain,
% 4.33/3.12 (^[Y: $i, X: $i] : refl(((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) <=> ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))))),
% 4.33/3.12 inference(bind,[status(th)],[])).
% 4.33/3.12 tff(88,plain,
% 4.33/3.12 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 4.33/3.12 inference(quant_intro,[status(thm)],[87])).
% 4.33/3.13 tff(89,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(90,plain,
% 4.33/3.13 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) <=> ((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X)))), ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) <=> (((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)))), rewrite((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) <=> ((~m_main_v_state(X, c_ready)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))), ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) <=> ((~m_main_v_state(X, c_ready)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))))), (((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> (((~m_main_v_state(X, c_ready)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) | (~node2(X, Y))))), rewrite((((~m_main_v_state(X, c_ready)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X))) | (~node2(X, Y))) <=> ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))), (((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))))),
% 4.33/3.13 inference(bind,[status(th)],[])).
% 4.33/3.13 tff(91,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 4.33/3.13 inference(quant_intro,[status(thm)],[90])).
% 4.33/3.13 tff(92,axiom,(![Y: $i, X: $i] : ((((~m_main_v_state(X, c_ready)) | (~m_main_v_request(X))) | m_main_v_state(Y, c_busy)) | (~node2(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 4.33/3.13 tff(93,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[92, 91])).
% 4.33/3.13 tff(94,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[93, 89])).
% 4.33/3.13 tff(95,plain,(
% 4.33/3.13 ![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 4.33/3.13 inference(skolemize,[status(sab)],[94])).
% 4.33/3.13 tff(96,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[95, 88])).
% 4.33/3.13 tff(97,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(98,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47)))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(99,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s47, c_ready)) | (~node2(s47, s48)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[98, 97])).
% 4.33/3.13 tff(100,plain,
% 4.33/3.13 ((~m_main_v_state(s47, c_ready)) | m_main_v_state(s48, c_busy) | (~m_main_v_request(s47))),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[99, 96, 86])).
% 4.33/3.13 tff(101,plain,
% 4.33/3.13 (~m_main_v_state(s47, c_ready)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[100, 82, 28])).
% 4.33/3.13 tff(102,plain,
% 4.33/3.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(103,plain,
% 4.33/3.13 (((~m_main_v_state(s47, c_busy)) | (~always3(s47))) <=> ((~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(104,plain,
% 4.33/3.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s47)) | (~m_main_v_state(s47, c_busy))))),
% 4.33/3.13 inference(monotonicity,[status(thm)],[103])).
% 4.33/3.13 tff(105,plain,
% 4.33/3.13 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy)))),
% 4.33/3.13 inference(transitivity,[status(thm)],[104, 102])).
% 4.33/3.13 tff(106,plain,
% 4.33/3.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s47, c_busy)) | (~always3(s47)))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(107,plain,
% 4.33/3.13 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s47)) | (~m_main_v_state(s47, c_busy))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[106, 105])).
% 4.33/3.13 tff(108,plain,
% 4.33/3.13 (~m_main_v_state(s47, c_busy)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[107, 75, 39])).
% 4.33/3.13 tff(109,plain,
% 4.33/3.13 (^[X: $i] : refl((m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)) <=> (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)))),
% 4.33/3.13 inference(bind,[status(th)],[])).
% 4.33/3.13 tff(110,plain,
% 4.33/3.13 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)) <=> ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 4.33/3.13 inference(quant_intro,[status(thm)],[109])).
% 4.33/3.13 tff(111,plain,
% 4.33/3.13 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)) <=> ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(112,plain,
% 4.33/3.13 (^[X: $i] : rewrite((m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy)) <=> (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready)))),
% 4.33/3.13 inference(bind,[status(th)],[])).
% 4.33/3.13 tff(113,plain,
% 4.33/3.13 (![X: $i] : (m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy)) <=> ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 4.33/3.13 inference(quant_intro,[status(thm)],[112])).
% 4.33/3.13 tff(114,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | m_main_v_state(X, c_busy))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_1')).
% 4.33/3.13 tff(115,plain,
% 4.33/3.13 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[114, 113])).
% 4.33/3.13 tff(116,plain,
% 4.33/3.13 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[115, 111])).
% 4.33/3.13 tff(117,plain,(
% 4.33/3.13 ![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 4.33/3.13 inference(skolemize,[status(sab)],[116])).
% 4.33/3.13 tff(118,plain,
% 4.33/3.13 (![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[117, 110])).
% 4.33/3.13 tff(119,plain,
% 4.33/3.13 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(120,plain,
% 4.33/3.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(121,plain,
% 4.33/3.13 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s47, c_busy) | m_main_v_state(s47, c_ready)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[120, 119])).
% 4.33/3.13 tff(122,plain,
% 4.33/3.13 ($false),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[121, 118, 108, 101])).
% 4.33/3.13 tff(123,plain,(~node4(s47)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.13 tff(124,assumption,(~xuntil6(s11)), introduced(assumption)).
% 4.33/3.13 tff(125,assumption,(~always3(s11)), introduced(assumption)).
% 4.33/3.13 tff(126,plain,
% 4.33/3.13 (succ(s10, s11) <=> succ(s10, s11)),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(127,axiom,(succ(s10, s11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound11')).
% 4.33/3.13 tff(128,plain,
% 4.33/3.13 (succ(s10, s11)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[127, 126])).
% 4.33/3.13 tff(129,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(130,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s10, s11)) | trans(s10, s11))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(131,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s10, s11)) | trans(s10, s11)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[130, 129])).
% 4.33/3.13 tff(132,plain,
% 4.33/3.13 (trans(s10, s11)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[131, 128, 46])).
% 4.33/3.13 tff(133,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(134,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s10, s11)) | (~always3(s10)) | always3(s11))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(135,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s10, s11)) | (~always3(s10)) | always3(s11)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[134, 133])).
% 4.33/3.13 tff(136,plain,
% 4.33/3.13 ((~always3(s10)) | always3(s11)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[135, 63, 132])).
% 4.33/3.13 tff(137,plain,
% 4.33/3.13 (~always3(s10)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[136, 125])).
% 4.33/3.13 tff(138,plain,
% 4.33/3.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(139,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s10) | (~node4(s10)))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(140,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s10) | (~node4(s10))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[139, 138])).
% 4.33/3.13 tff(141,plain,
% 4.33/3.13 (~node4(s10)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[140, 35, 137])).
% 4.33/3.13 tff(142,plain,
% 4.33/3.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(143,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s11) | (~node4(s11)))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(144,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s11) | (~node4(s11))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[143, 142])).
% 4.33/3.13 tff(145,plain,
% 4.33/3.13 (~node4(s11)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[144, 35, 125])).
% 4.33/3.13 tff(146,plain,
% 4.33/3.13 (^[X: $i] : refl((node4(X) | (~until5(X)) | xuntil6(X)) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 4.33/3.13 inference(bind,[status(th)],[])).
% 4.33/3.13 tff(147,plain,
% 4.33/3.13 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 4.33/3.13 inference(quant_intro,[status(thm)],[146])).
% 4.33/3.13 tff(148,plain,
% 4.33/3.13 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X)) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(149,plain,
% 4.33/3.13 (^[X: $i] : rewrite(((node4(X) | xuntil6(X)) | (~until5(X))) <=> (node4(X) | (~until5(X)) | xuntil6(X)))),
% 4.33/3.13 inference(bind,[status(th)],[])).
% 4.33/3.13 tff(150,plain,
% 4.33/3.13 (![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X))) <=> ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 4.33/3.13 inference(quant_intro,[status(thm)],[149])).
% 4.33/3.13 tff(151,axiom,(![X: $i] : ((node4(X) | xuntil6(X)) | (~until5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty6')).
% 4.33/3.13 tff(152,plain,
% 4.33/3.13 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[151, 150])).
% 4.33/3.13 tff(153,plain,
% 4.33/3.13 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[152, 148])).
% 4.33/3.13 tff(154,plain,(
% 4.33/3.13 ![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 4.33/3.13 inference(skolemize,[status(sab)],[153])).
% 4.33/3.13 tff(155,plain,
% 4.33/3.13 (![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[154, 147])).
% 4.33/3.13 tff(156,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s11) | node4(s11) | (~until5(s11)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(157,plain,
% 4.33/3.13 ((node4(s11) | (~until5(s11)) | xuntil6(s11)) <=> (xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(158,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s11) | node4(s11) | (~until5(s11))))),
% 4.33/3.13 inference(monotonicity,[status(thm)],[157])).
% 4.33/3.13 tff(159,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11)))),
% 4.33/3.13 inference(transitivity,[status(thm)],[158, 156])).
% 4.33/3.13 tff(160,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s11) | (~until5(s11)) | xuntil6(s11))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(161,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s11) | node4(s11) | (~until5(s11))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[160, 159])).
% 4.33/3.13 tff(162,plain,
% 4.33/3.13 (node4(s11) | (~until5(s11))),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[161, 155, 124])).
% 4.33/3.13 tff(163,plain,
% 4.33/3.13 (~until5(s11)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[162, 145])).
% 4.33/3.13 tff(164,plain,
% 4.33/3.13 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 4.33/3.13 inference(bind,[status(th)],[])).
% 4.33/3.13 tff(165,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 4.33/3.13 inference(quant_intro,[status(thm)],[164])).
% 4.33/3.13 tff(166,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(167,plain,
% 4.33/3.13 (^[Y: $i, X: $i] : rewrite(((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y)))),
% 4.33/3.13 inference(bind,[status(th)],[])).
% 4.33/3.13 tff(168,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 4.33/3.13 inference(quant_intro,[status(thm)],[167])).
% 4.33/3.13 tff(169,axiom,(![Y: $i, X: $i] : ((until5(Y) | (~succ(X, Y))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty7')).
% 4.33/3.13 tff(170,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[169, 168])).
% 4.33/3.13 tff(171,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[170, 166])).
% 4.33/3.13 tff(172,plain,(
% 4.33/3.13 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 4.33/3.13 inference(skolemize,[status(sab)],[171])).
% 4.33/3.13 tff(173,plain,
% 4.33/3.13 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[172, 165])).
% 4.33/3.13 tff(174,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(175,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(176,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s10, s11)) | (~xuntil6(s10)) | until5(s11)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[175, 174])).
% 4.33/3.13 tff(177,plain,
% 4.33/3.13 ((~xuntil6(s10)) | until5(s11)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[176, 128, 173])).
% 4.33/3.13 tff(178,plain,
% 4.33/3.13 (~xuntil6(s10)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[177, 163])).
% 4.33/3.13 tff(179,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s10) | node4(s10) | (~until5(s10)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(180,plain,
% 4.33/3.13 ((node4(s10) | (~until5(s10)) | xuntil6(s10)) <=> (xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(181,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s10) | node4(s10) | (~until5(s10))))),
% 4.33/3.13 inference(monotonicity,[status(thm)],[180])).
% 4.33/3.13 tff(182,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10)))),
% 4.33/3.13 inference(transitivity,[status(thm)],[181, 179])).
% 4.33/3.13 tff(183,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s10) | (~until5(s10)) | xuntil6(s10))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(184,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s10) | node4(s10) | (~until5(s10))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[183, 182])).
% 4.33/3.13 tff(185,plain,
% 4.33/3.13 (~until5(s10)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[184, 155, 178, 141])).
% 4.33/3.13 tff(186,plain,
% 4.33/3.13 (succ(s9, s10) <=> succ(s9, s10)),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(187,axiom,(succ(s9, s10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound10')).
% 4.33/3.13 tff(188,plain,
% 4.33/3.13 (succ(s9, s10)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[187, 186])).
% 4.33/3.13 tff(189,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(190,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(191,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s9, s10)) | (~xuntil6(s9)) | until5(s10)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[190, 189])).
% 4.33/3.13 tff(192,plain,
% 4.33/3.13 ((~xuntil6(s9)) | until5(s10)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[191, 188, 173])).
% 4.33/3.13 tff(193,plain,
% 4.33/3.13 (~xuntil6(s9)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[192, 185])).
% 4.33/3.13 tff(194,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(195,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s9, s10)) | trans(s9, s10))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(196,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s9, s10)) | trans(s9, s10)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[195, 194])).
% 4.33/3.13 tff(197,plain,
% 4.33/3.13 (trans(s9, s10)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[196, 188, 46])).
% 4.33/3.13 tff(198,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(199,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s9, s10)) | (~always3(s9)) | always3(s10))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(200,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s9, s10)) | (~always3(s9)) | always3(s10)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[199, 198])).
% 4.33/3.13 tff(201,plain,
% 4.33/3.13 ((~always3(s9)) | always3(s10)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[200, 63, 197])).
% 4.33/3.13 tff(202,plain,
% 4.33/3.13 (~always3(s9)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[201, 137])).
% 4.33/3.13 tff(203,plain,
% 4.33/3.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(204,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s9) | (~node4(s9)))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(205,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s9) | (~node4(s9))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[204, 203])).
% 4.33/3.13 tff(206,plain,
% 4.33/3.13 (~node4(s9)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[205, 35, 202])).
% 4.33/3.13 tff(207,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s9) | node4(s9) | (~until5(s9)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(208,plain,
% 4.33/3.13 ((node4(s9) | (~until5(s9)) | xuntil6(s9)) <=> (xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(209,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s9) | node4(s9) | (~until5(s9))))),
% 4.33/3.13 inference(monotonicity,[status(thm)],[208])).
% 4.33/3.13 tff(210,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9)))),
% 4.33/3.13 inference(transitivity,[status(thm)],[209, 207])).
% 4.33/3.13 tff(211,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s9) | (~until5(s9)) | xuntil6(s9))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(212,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s9) | node4(s9) | (~until5(s9))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[211, 210])).
% 4.33/3.13 tff(213,plain,
% 4.33/3.13 (xuntil6(s9) | (~until5(s9))),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[212, 155, 206])).
% 4.33/3.13 tff(214,plain,
% 4.33/3.13 (~until5(s9)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[213, 193])).
% 4.33/3.13 tff(215,plain,
% 4.33/3.13 (succ(s8, s9) <=> succ(s8, s9)),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(216,axiom,(succ(s8, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound9')).
% 4.33/3.13 tff(217,plain,
% 4.33/3.13 (succ(s8, s9)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[216, 215])).
% 4.33/3.13 tff(218,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(219,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(220,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s8, s9)) | (~xuntil6(s8)) | until5(s9)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[219, 218])).
% 4.33/3.13 tff(221,plain,
% 4.33/3.13 ((~xuntil6(s8)) | until5(s9)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[220, 217, 173])).
% 4.33/3.13 tff(222,plain,
% 4.33/3.13 (~xuntil6(s8)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[221, 214])).
% 4.33/3.13 tff(223,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(224,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(225,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[224, 223])).
% 4.33/3.13 tff(226,plain,
% 4.33/3.13 (trans(s8, s9)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[225, 217, 46])).
% 4.33/3.13 tff(227,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(228,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s8, s9)) | (~always3(s8)) | always3(s9))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(229,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s8, s9)) | (~always3(s8)) | always3(s9)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[228, 227])).
% 4.33/3.13 tff(230,plain,
% 4.33/3.13 ((~always3(s8)) | always3(s9)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[229, 63, 226])).
% 4.33/3.13 tff(231,plain,
% 4.33/3.13 (~always3(s8)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[230, 202])).
% 4.33/3.13 tff(232,plain,
% 4.33/3.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(233,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s8) | (~node4(s8)))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(234,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s8) | (~node4(s8))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[233, 232])).
% 4.33/3.13 tff(235,plain,
% 4.33/3.13 (~node4(s8)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[234, 35, 231])).
% 4.33/3.13 tff(236,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s8) | node4(s8) | (~until5(s8)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(237,plain,
% 4.33/3.13 ((node4(s8) | (~until5(s8)) | xuntil6(s8)) <=> (xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(238,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s8) | node4(s8) | (~until5(s8))))),
% 4.33/3.13 inference(monotonicity,[status(thm)],[237])).
% 4.33/3.13 tff(239,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8)))),
% 4.33/3.13 inference(transitivity,[status(thm)],[238, 236])).
% 4.33/3.13 tff(240,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s8) | (~until5(s8)) | xuntil6(s8))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(241,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s8) | node4(s8) | (~until5(s8))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[240, 239])).
% 4.33/3.13 tff(242,plain,
% 4.33/3.13 (xuntil6(s8) | (~until5(s8))),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[241, 155, 235])).
% 4.33/3.13 tff(243,plain,
% 4.33/3.13 (~until5(s8)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[242, 222])).
% 4.33/3.13 tff(244,plain,
% 4.33/3.13 (succ(s7, s8) <=> succ(s7, s8)),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(245,axiom,(succ(s7, s8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound8')).
% 4.33/3.13 tff(246,plain,
% 4.33/3.13 (succ(s7, s8)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[245, 244])).
% 4.33/3.13 tff(247,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(248,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(249,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s7, s8)) | (~xuntil6(s7)) | until5(s8)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[248, 247])).
% 4.33/3.13 tff(250,plain,
% 4.33/3.13 ((~xuntil6(s7)) | until5(s8)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[249, 246, 173])).
% 4.33/3.13 tff(251,plain,
% 4.33/3.13 (~xuntil6(s7)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[250, 243])).
% 4.33/3.13 tff(252,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(253,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(254,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[253, 252])).
% 4.33/3.13 tff(255,plain,
% 4.33/3.13 (trans(s7, s8)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[254, 246, 46])).
% 4.33/3.13 tff(256,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(257,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s7, s8)) | (~always3(s7)) | always3(s8))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(258,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s7, s8)) | (~always3(s7)) | always3(s8)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[257, 256])).
% 4.33/3.13 tff(259,plain,
% 4.33/3.13 ((~always3(s7)) | always3(s8)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[258, 63, 255])).
% 4.33/3.13 tff(260,plain,
% 4.33/3.13 (~always3(s7)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[259, 231])).
% 4.33/3.13 tff(261,plain,
% 4.33/3.13 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(262,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s7) | (~node4(s7)))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(263,plain,
% 4.33/3.13 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s7) | (~node4(s7))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[262, 261])).
% 4.33/3.13 tff(264,plain,
% 4.33/3.13 (~node4(s7)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[263, 35, 260])).
% 4.33/3.13 tff(265,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s7) | node4(s7) | (~until5(s7)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(266,plain,
% 4.33/3.13 ((node4(s7) | (~until5(s7)) | xuntil6(s7)) <=> (xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(267,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s7) | node4(s7) | (~until5(s7))))),
% 4.33/3.13 inference(monotonicity,[status(thm)],[266])).
% 4.33/3.13 tff(268,plain,
% 4.33/3.13 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7)))),
% 4.33/3.13 inference(transitivity,[status(thm)],[267, 265])).
% 4.33/3.13 tff(269,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s7) | (~until5(s7)) | xuntil6(s7))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(270,plain,
% 4.33/3.13 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s7) | node4(s7) | (~until5(s7))),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[269, 268])).
% 4.33/3.13 tff(271,plain,
% 4.33/3.13 (xuntil6(s7) | (~until5(s7))),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[270, 155, 264])).
% 4.33/3.13 tff(272,plain,
% 4.33/3.13 (~until5(s7)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[271, 251])).
% 4.33/3.13 tff(273,plain,
% 4.33/3.13 (succ(s6, s7) <=> succ(s6, s7)),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(274,axiom,(succ(s6, s7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 4.33/3.13 tff(275,plain,
% 4.33/3.13 (succ(s6, s7)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[274, 273])).
% 4.33/3.13 tff(276,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(277,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(278,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s6, s7)) | (~xuntil6(s6)) | until5(s7)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[277, 276])).
% 4.33/3.13 tff(279,plain,
% 4.33/3.13 ((~xuntil6(s6)) | until5(s7)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[278, 275, 173])).
% 4.33/3.13 tff(280,plain,
% 4.33/3.13 (~xuntil6(s6)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[279, 272])).
% 4.33/3.13 tff(281,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(282,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(283,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 4.33/3.13 inference(modus_ponens,[status(thm)],[282, 281])).
% 4.33/3.13 tff(284,plain,
% 4.33/3.13 (trans(s6, s7)),
% 4.33/3.13 inference(unit_resolution,[status(thm)],[283, 275, 46])).
% 4.33/3.13 tff(285,plain,
% 4.33/3.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s6, s7)) | (~always3(s6)) | always3(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7))),
% 4.33/3.13 inference(rewrite,[status(thm)],[])).
% 4.33/3.13 tff(286,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s6, s7)) | (~always3(s6)) | always3(s7))),
% 4.33/3.13 inference(quant_inst,[status(thm)],[])).
% 4.33/3.13 tff(287,plain,
% 4.33/3.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s6, s7)) | (~always3(s6)) | always3(s7)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[286, 285])).
% 4.33/3.14 tff(288,plain,
% 4.33/3.14 ((~always3(s6)) | always3(s7)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[287, 63, 284])).
% 4.33/3.14 tff(289,plain,
% 4.33/3.14 (~always3(s6)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[288, 260])).
% 4.33/3.14 tff(290,plain,
% 4.33/3.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(291,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s6) | (~node4(s6)))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(292,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s6) | (~node4(s6))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[291, 290])).
% 4.33/3.14 tff(293,plain,
% 4.33/3.14 (~node4(s6)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[292, 35, 289])).
% 4.33/3.14 tff(294,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s6) | node4(s6) | (~until5(s6)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(295,plain,
% 4.33/3.14 ((node4(s6) | (~until5(s6)) | xuntil6(s6)) <=> (xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(296,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s6) | node4(s6) | (~until5(s6))))),
% 4.33/3.14 inference(monotonicity,[status(thm)],[295])).
% 4.33/3.14 tff(297,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6)))),
% 4.33/3.14 inference(transitivity,[status(thm)],[296, 294])).
% 4.33/3.14 tff(298,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s6) | (~until5(s6)) | xuntil6(s6))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(299,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s6) | node4(s6) | (~until5(s6))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[298, 297])).
% 4.33/3.14 tff(300,plain,
% 4.33/3.14 (xuntil6(s6) | (~until5(s6))),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[299, 155, 293])).
% 4.33/3.14 tff(301,plain,
% 4.33/3.14 (~until5(s6)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[300, 280])).
% 4.33/3.14 tff(302,plain,
% 4.33/3.14 (succ(s5, s6) <=> succ(s5, s6)),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(303,axiom,(succ(s5, s6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 4.33/3.14 tff(304,plain,
% 4.33/3.14 (succ(s5, s6)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[303, 302])).
% 4.33/3.14 tff(305,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(306,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(307,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[306, 305])).
% 4.33/3.14 tff(308,plain,
% 4.33/3.14 (trans(s5, s6)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[307, 304, 46])).
% 4.33/3.14 tff(309,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(310,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s5, s6)) | (~always3(s5)) | always3(s6))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(311,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s5, s6)) | (~always3(s5)) | always3(s6)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[310, 309])).
% 4.33/3.14 tff(312,plain,
% 4.33/3.14 ((~always3(s5)) | always3(s6)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[311, 63, 308])).
% 4.33/3.14 tff(313,plain,
% 4.33/3.14 (~always3(s5)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[312, 289])).
% 4.33/3.14 tff(314,plain,
% 4.33/3.14 (succ(s4, s5) <=> succ(s4, s5)),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(315,axiom,(succ(s4, s5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 4.33/3.14 tff(316,plain,
% 4.33/3.14 (succ(s4, s5)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[315, 314])).
% 4.33/3.14 tff(317,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(318,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(319,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[318, 317])).
% 4.33/3.14 tff(320,plain,
% 4.33/3.14 (trans(s4, s5)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[319, 316, 46])).
% 4.33/3.14 tff(321,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(322,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s4, s5)) | (~always3(s4)) | always3(s5))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(323,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s4, s5)) | (~always3(s4)) | always3(s5)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[322, 321])).
% 4.33/3.14 tff(324,plain,
% 4.33/3.14 ((~always3(s4)) | always3(s5)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[323, 63, 320])).
% 4.33/3.14 tff(325,plain,
% 4.33/3.14 (~always3(s4)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[324, 313])).
% 4.33/3.14 tff(326,plain,
% 4.33/3.14 (succ(s3, s4) <=> succ(s3, s4)),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(327,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 4.33/3.14 tff(328,plain,
% 4.33/3.14 (succ(s3, s4)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[327, 326])).
% 4.33/3.14 tff(329,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(330,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(331,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[330, 329])).
% 4.33/3.14 tff(332,plain,
% 4.33/3.14 (trans(s3, s4)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[331, 328, 46])).
% 4.33/3.14 tff(333,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(334,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s3, s4)) | (~always3(s3)) | always3(s4))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(335,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s3, s4)) | (~always3(s3)) | always3(s4)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[334, 333])).
% 4.33/3.14 tff(336,plain,
% 4.33/3.14 ((~always3(s3)) | always3(s4)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[335, 63, 332])).
% 4.33/3.14 tff(337,plain,
% 4.33/3.14 (~always3(s3)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[336, 325])).
% 4.33/3.14 tff(338,plain,
% 4.33/3.14 (succ(s2, s3) <=> succ(s2, s3)),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(339,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 4.33/3.14 tff(340,plain,
% 4.33/3.14 (succ(s2, s3)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[339, 338])).
% 4.33/3.14 tff(341,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(342,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(343,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[342, 341])).
% 4.33/3.14 tff(344,plain,
% 4.33/3.14 (trans(s2, s3)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[343, 340, 46])).
% 4.33/3.14 tff(345,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(346,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s2, s3)) | (~always3(s2)) | always3(s3))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(347,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s2, s3)) | (~always3(s2)) | always3(s3)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[346, 345])).
% 4.33/3.14 tff(348,plain,
% 4.33/3.14 ((~always3(s2)) | always3(s3)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[347, 63, 344])).
% 4.33/3.14 tff(349,plain,
% 4.33/3.14 (~always3(s2)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[348, 337])).
% 4.33/3.14 tff(350,plain,
% 4.33/3.14 (succ(s1, s2) <=> succ(s1, s2)),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(351,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 4.33/3.14 tff(352,plain,
% 4.33/3.14 (succ(s1, s2)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[351, 350])).
% 4.33/3.14 tff(353,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(354,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(355,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[354, 353])).
% 4.33/3.14 tff(356,plain,
% 4.33/3.14 (trans(s1, s2)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[355, 352, 46])).
% 4.33/3.14 tff(357,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(358,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s1, s2)) | (~always3(s1)) | always3(s2))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(359,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s1, s2)) | (~always3(s1)) | always3(s2)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[358, 357])).
% 4.33/3.14 tff(360,plain,
% 4.33/3.14 ((~always3(s1)) | always3(s2)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[359, 63, 356])).
% 4.33/3.14 tff(361,plain,
% 4.33/3.14 (~always3(s1)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[360, 349])).
% 4.33/3.14 tff(362,plain,
% 4.33/3.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(363,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s1) | (~node4(s1)))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(364,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s1) | (~node4(s1))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[363, 362])).
% 4.33/3.14 tff(365,plain,
% 4.33/3.14 (~node4(s1)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[364, 35, 361])).
% 4.33/3.14 tff(366,plain,
% 4.33/3.14 (succ(s0, s1) <=> succ(s0, s1)),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(367,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 4.33/3.14 tff(368,plain,
% 4.33/3.14 (succ(s0, s1)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[367, 366])).
% 4.33/3.14 tff(369,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(370,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(371,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[370, 369])).
% 4.33/3.14 tff(372,plain,
% 4.33/3.14 (trans(s0, s1)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[371, 368, 46])).
% 4.33/3.14 tff(373,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(374,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s0, s1)) | (~always3(s0)) | always3(s1))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(375,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s0, s1)) | (~always3(s0)) | always3(s1)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[374, 373])).
% 4.33/3.14 tff(376,plain,
% 4.33/3.14 ((~always3(s0)) | always3(s1)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[375, 63, 372])).
% 4.33/3.14 tff(377,plain,
% 4.33/3.14 (~always3(s0)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[376, 361])).
% 4.33/3.14 tff(378,plain,
% 4.33/3.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(379,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s0) | (~node4(s0)))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(380,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s0) | (~node4(s0))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[379, 378])).
% 4.33/3.14 tff(381,plain,
% 4.33/3.14 (~node4(s0)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[380, 35, 377])).
% 4.33/3.14 tff(382,plain,
% 4.33/3.14 (until5(s0) <=> until5(s0)),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(383,axiom,(until5(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty13')).
% 4.33/3.14 tff(384,plain,
% 4.33/3.14 (until5(s0)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[383, 382])).
% 4.33/3.14 tff(385,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s0) | node4(s0) | (~until5(s0)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(386,plain,
% 4.33/3.14 ((node4(s0) | (~until5(s0)) | xuntil6(s0)) <=> (xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(387,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s0) | node4(s0) | (~until5(s0))))),
% 4.33/3.14 inference(monotonicity,[status(thm)],[386])).
% 4.33/3.14 tff(388,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0)))),
% 4.33/3.14 inference(transitivity,[status(thm)],[387, 385])).
% 4.33/3.14 tff(389,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s0) | (~until5(s0)) | xuntil6(s0))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(390,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s0) | node4(s0) | (~until5(s0))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[389, 388])).
% 4.33/3.14 tff(391,plain,
% 4.33/3.14 (xuntil6(s0) | node4(s0)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[390, 155, 384])).
% 4.33/3.14 tff(392,plain,
% 4.33/3.14 (xuntil6(s0)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[391, 381])).
% 4.33/3.14 tff(393,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(394,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(395,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s0, s1)) | (~xuntil6(s0)) | until5(s1)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[394, 393])).
% 4.33/3.14 tff(396,plain,
% 4.33/3.14 ((~xuntil6(s0)) | until5(s1)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[395, 368, 173])).
% 4.33/3.14 tff(397,plain,
% 4.33/3.14 (until5(s1)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[396, 392])).
% 4.33/3.14 tff(398,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s1) | node4(s1) | (~until5(s1)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(399,plain,
% 4.33/3.14 ((node4(s1) | (~until5(s1)) | xuntil6(s1)) <=> (xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(400,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s1) | node4(s1) | (~until5(s1))))),
% 4.33/3.14 inference(monotonicity,[status(thm)],[399])).
% 4.33/3.14 tff(401,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1)))),
% 4.33/3.14 inference(transitivity,[status(thm)],[400, 398])).
% 4.33/3.14 tff(402,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s1) | (~until5(s1)) | xuntil6(s1))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(403,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s1) | node4(s1) | (~until5(s1))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[402, 401])).
% 4.33/3.14 tff(404,plain,
% 4.33/3.14 (xuntil6(s1)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[403, 155, 397, 365])).
% 4.33/3.14 tff(405,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(406,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(407,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s1, s2)) | (~xuntil6(s1)) | until5(s2)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[406, 405])).
% 4.33/3.14 tff(408,plain,
% 4.33/3.14 ((~xuntil6(s1)) | until5(s2)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[407, 352, 173])).
% 4.33/3.14 tff(409,plain,
% 4.33/3.14 (until5(s2)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[408, 404])).
% 4.33/3.14 tff(410,plain,
% 4.33/3.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(411,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s2) | (~node4(s2)))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(412,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s2) | (~node4(s2))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[411, 410])).
% 4.33/3.14 tff(413,plain,
% 4.33/3.14 (~node4(s2)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[412, 35, 349])).
% 4.33/3.14 tff(414,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s2) | node4(s2) | (~until5(s2)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(415,plain,
% 4.33/3.14 ((node4(s2) | (~until5(s2)) | xuntil6(s2)) <=> (xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(416,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s2) | node4(s2) | (~until5(s2))))),
% 4.33/3.14 inference(monotonicity,[status(thm)],[415])).
% 4.33/3.14 tff(417,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2)))),
% 4.33/3.14 inference(transitivity,[status(thm)],[416, 414])).
% 4.33/3.14 tff(418,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s2) | (~until5(s2)) | xuntil6(s2))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(419,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s2) | node4(s2) | (~until5(s2))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[418, 417])).
% 4.33/3.14 tff(420,plain,
% 4.33/3.14 (xuntil6(s2) | (~until5(s2))),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[419, 155, 413])).
% 4.33/3.14 tff(421,plain,
% 4.33/3.14 (xuntil6(s2)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[420, 409])).
% 4.33/3.14 tff(422,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(423,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(424,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s2, s3)) | (~xuntil6(s2)) | until5(s3)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[423, 422])).
% 4.33/3.14 tff(425,plain,
% 4.33/3.14 ((~xuntil6(s2)) | until5(s3)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[424, 340, 173])).
% 4.33/3.14 tff(426,plain,
% 4.33/3.14 (until5(s3)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[425, 421])).
% 4.33/3.14 tff(427,plain,
% 4.33/3.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(428,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s3) | (~node4(s3)))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(429,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s3) | (~node4(s3))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[428, 427])).
% 4.33/3.14 tff(430,plain,
% 4.33/3.14 (~node4(s3)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[429, 35, 337])).
% 4.33/3.14 tff(431,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s3) | node4(s3) | (~until5(s3)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(432,plain,
% 4.33/3.14 ((node4(s3) | (~until5(s3)) | xuntil6(s3)) <=> (xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(433,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s3) | node4(s3) | (~until5(s3))))),
% 4.33/3.14 inference(monotonicity,[status(thm)],[432])).
% 4.33/3.14 tff(434,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3)))),
% 4.33/3.14 inference(transitivity,[status(thm)],[433, 431])).
% 4.33/3.14 tff(435,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s3) | (~until5(s3)) | xuntil6(s3))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(436,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s3) | node4(s3) | (~until5(s3))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[435, 434])).
% 4.33/3.14 tff(437,plain,
% 4.33/3.14 (xuntil6(s3) | (~until5(s3))),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[436, 155, 430])).
% 4.33/3.14 tff(438,plain,
% 4.33/3.14 (xuntil6(s3)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[437, 426])).
% 4.33/3.14 tff(439,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(440,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(441,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s3, s4)) | (~xuntil6(s3)) | until5(s4)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[440, 439])).
% 4.33/3.14 tff(442,plain,
% 4.33/3.14 ((~xuntil6(s3)) | until5(s4)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[441, 328, 173])).
% 4.33/3.14 tff(443,plain,
% 4.33/3.14 (until5(s4)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[442, 438])).
% 4.33/3.14 tff(444,plain,
% 4.33/3.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s4) | (~node4(s4)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(445,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s4) | (~node4(s4)))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(446,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s4) | (~node4(s4))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[445, 444])).
% 4.33/3.14 tff(447,plain,
% 4.33/3.14 (~node4(s4)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[446, 35, 325])).
% 4.33/3.14 tff(448,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s4) | node4(s4) | (~until5(s4)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(449,plain,
% 4.33/3.14 ((node4(s4) | (~until5(s4)) | xuntil6(s4)) <=> (xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(450,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s4) | node4(s4) | (~until5(s4))))),
% 4.33/3.14 inference(monotonicity,[status(thm)],[449])).
% 4.33/3.14 tff(451,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4)))),
% 4.33/3.14 inference(transitivity,[status(thm)],[450, 448])).
% 4.33/3.14 tff(452,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s4) | (~until5(s4)) | xuntil6(s4))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(453,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s4) | node4(s4) | (~until5(s4))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[452, 451])).
% 4.33/3.14 tff(454,plain,
% 4.33/3.14 (xuntil6(s4) | (~until5(s4))),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[453, 155, 447])).
% 4.33/3.14 tff(455,plain,
% 4.33/3.14 (xuntil6(s4)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[454, 443])).
% 4.33/3.14 tff(456,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(457,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(458,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s4, s5)) | (~xuntil6(s4)) | until5(s5)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[457, 456])).
% 4.33/3.14 tff(459,plain,
% 4.33/3.14 ((~xuntil6(s4)) | until5(s5)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[458, 316, 173])).
% 4.33/3.14 tff(460,plain,
% 4.33/3.14 (until5(s5)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[459, 455])).
% 4.33/3.14 tff(461,plain,
% 4.33/3.14 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s5) | (~node4(s5)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(462,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s5) | (~node4(s5)))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(463,plain,
% 4.33/3.14 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s5) | (~node4(s5))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[462, 461])).
% 4.33/3.14 tff(464,plain,
% 4.33/3.14 (~node4(s5)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[463, 35, 313])).
% 4.33/3.14 tff(465,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s5) | node4(s5) | (~until5(s5)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(466,plain,
% 4.33/3.14 ((node4(s5) | (~until5(s5)) | xuntil6(s5)) <=> (xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(467,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s5) | node4(s5) | (~until5(s5))))),
% 4.33/3.14 inference(monotonicity,[status(thm)],[466])).
% 4.33/3.14 tff(468,plain,
% 4.33/3.14 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5)))),
% 4.33/3.14 inference(transitivity,[status(thm)],[467, 465])).
% 4.33/3.14 tff(469,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s5) | (~until5(s5)) | xuntil6(s5))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(470,plain,
% 4.33/3.14 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s5) | node4(s5) | (~until5(s5))),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[469, 468])).
% 4.33/3.14 tff(471,plain,
% 4.33/3.14 (xuntil6(s5) | (~until5(s5))),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[470, 155, 464])).
% 4.33/3.14 tff(472,plain,
% 4.33/3.14 (xuntil6(s5)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[471, 460])).
% 4.33/3.14 tff(473,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(474,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(475,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s5, s6)) | (~xuntil6(s5)) | until5(s6)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[474, 473])).
% 4.33/3.14 tff(476,plain,
% 4.33/3.14 ((~xuntil6(s5)) | until5(s6)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[475, 304, 173])).
% 4.33/3.14 tff(477,plain,
% 4.33/3.14 ($false),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[476, 472, 301])).
% 4.33/3.14 tff(478,plain,(always3(s11) | xuntil6(s11)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.14 tff(479,plain,
% 4.33/3.14 (always3(s11)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[478, 124])).
% 4.33/3.14 tff(480,plain,
% 4.33/3.14 (succ(s11, s12) <=> succ(s11, s12)),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(481,axiom,(succ(s11, s12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound12')).
% 4.33/3.14 tff(482,plain,
% 4.33/3.14 (succ(s11, s12)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[481, 480])).
% 4.33/3.14 tff(483,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12))),
% 4.33/3.14 inference(rewrite,[status(thm)],[])).
% 4.33/3.14 tff(484,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s11, s12)) | trans(s11, s12))),
% 4.33/3.14 inference(quant_inst,[status(thm)],[])).
% 4.33/3.14 tff(485,plain,
% 4.33/3.14 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s11, s12)) | trans(s11, s12)),
% 4.33/3.14 inference(modus_ponens,[status(thm)],[484, 483])).
% 4.33/3.14 tff(486,plain,
% 4.33/3.14 (trans(s11, s12)),
% 4.33/3.14 inference(unit_resolution,[status(thm)],[485, 482, 46])).
% 4.33/3.14 tff(487,plain,
% 4.33/3.14 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(488,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s11, s12)) | (~always3(s11)) | always3(s12))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(489,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s11, s12)) | (~always3(s11)) | always3(s12)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[488, 487])).
% 4.33/3.15 tff(490,plain,
% 4.33/3.15 ((~always3(s11)) | always3(s12)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[489, 63, 486])).
% 4.33/3.15 tff(491,plain,
% 4.33/3.15 (always3(s12)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[490, 479])).
% 4.33/3.15 tff(492,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(493,plain,
% 4.33/3.15 (((~m_main_v_state(s12, c_busy)) | (~always3(s12))) <=> ((~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(494,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s12)) | (~m_main_v_state(s12, c_busy))))),
% 4.33/3.15 inference(monotonicity,[status(thm)],[493])).
% 4.33/3.15 tff(495,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy)))),
% 4.33/3.15 inference(transitivity,[status(thm)],[494, 492])).
% 4.33/3.15 tff(496,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s12, c_busy)) | (~always3(s12)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(497,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s12)) | (~m_main_v_state(s12, c_busy))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[496, 495])).
% 4.33/3.15 tff(498,plain,
% 4.33/3.15 (~m_main_v_state(s12, c_busy)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[497, 75, 491])).
% 4.33/3.15 tff(499,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(500,plain,
% 4.33/3.15 (((~m_main_v_state(s11, c_busy)) | (~always3(s11))) <=> ((~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(501,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s11)) | (~m_main_v_state(s11, c_busy))))),
% 4.33/3.15 inference(monotonicity,[status(thm)],[500])).
% 4.33/3.15 tff(502,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy)))),
% 4.33/3.15 inference(transitivity,[status(thm)],[501, 499])).
% 4.33/3.15 tff(503,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s11, c_busy)) | (~always3(s11)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(504,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s11)) | (~m_main_v_state(s11, c_busy))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[503, 502])).
% 4.33/3.15 tff(505,plain,
% 4.33/3.15 (~m_main_v_state(s11, c_busy)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[504, 75, 479])).
% 4.33/3.15 tff(506,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(507,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(508,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s11, c_busy) | m_main_v_state(s11, c_ready)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[507, 506])).
% 4.33/3.15 tff(509,plain,
% 4.33/3.15 (m_main_v_state(s11, c_ready)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[508, 118, 505])).
% 4.33/3.15 tff(510,assumption,(~m_main_v_state(s11, c_busy)), introduced(assumption)).
% 4.33/3.15 tff(511,assumption,(node4(s10)), introduced(assumption)).
% 4.33/3.15 tff(512,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(513,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s10) | (~node4(s10)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(514,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s10) | (~node4(s10))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[513, 512])).
% 4.33/3.15 tff(515,plain,
% 4.33/3.15 (m_main_v_request(s10)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[514, 17, 511])).
% 4.33/3.15 tff(516,plain,
% 4.33/3.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(517,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s10, s11)) | node2(s10, s11))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(518,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s10, s11)) | node2(s10, s11)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[517, 516])).
% 4.33/3.15 tff(519,plain,
% 4.33/3.15 (node2(s10, s11)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[518, 7, 132])).
% 4.33/3.15 tff(520,plain,
% 4.33/3.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(521,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(522,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s10, c_ready)) | (~node2(s10, s11)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[521, 520])).
% 4.33/3.15 tff(523,plain,
% 4.33/3.15 ((~m_main_v_state(s10, c_ready)) | m_main_v_state(s11, c_busy) | (~m_main_v_request(s10))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[522, 96, 519])).
% 4.33/3.15 tff(524,plain,
% 4.33/3.15 (~m_main_v_state(s10, c_ready)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[523, 515, 510])).
% 4.33/3.15 tff(525,plain,
% 4.33/3.15 (always3(s10)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[140, 35, 511])).
% 4.33/3.15 tff(526,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(527,plain,
% 4.33/3.15 (((~m_main_v_state(s10, c_busy)) | (~always3(s10))) <=> ((~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(528,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s10)) | (~m_main_v_state(s10, c_busy))))),
% 4.33/3.15 inference(monotonicity,[status(thm)],[527])).
% 4.33/3.15 tff(529,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy)))),
% 4.33/3.15 inference(transitivity,[status(thm)],[528, 526])).
% 4.33/3.15 tff(530,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s10, c_busy)) | (~always3(s10)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(531,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s10)) | (~m_main_v_state(s10, c_busy))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[530, 529])).
% 4.33/3.15 tff(532,plain,
% 4.33/3.15 (~m_main_v_state(s10, c_busy)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[531, 75, 525])).
% 4.33/3.15 tff(533,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(534,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(535,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s10, c_busy) | m_main_v_state(s10, c_ready)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[534, 533])).
% 4.33/3.15 tff(536,plain,
% 4.33/3.15 ($false),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[535, 118, 532, 524])).
% 4.33/3.15 tff(537,plain,((~node4(s10)) | m_main_v_state(s11, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.15 tff(538,plain,
% 4.33/3.15 (~node4(s10)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[537, 505])).
% 4.33/3.15 tff(539,assumption,(~xuntil6(s9)), introduced(assumption)).
% 4.33/3.15 tff(540,assumption,(~always3(s9)), introduced(assumption)).
% 4.33/3.15 tff(541,plain,
% 4.33/3.15 (~always3(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[230, 540])).
% 4.33/3.15 tff(542,plain,
% 4.33/3.15 (~node4(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[234, 35, 541])).
% 4.33/3.15 tff(543,plain,
% 4.33/3.15 (~node4(s9)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[205, 35, 540])).
% 4.33/3.15 tff(544,plain,
% 4.33/3.15 (node4(s9) | (~until5(s9))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[212, 155, 539])).
% 4.33/3.15 tff(545,plain,
% 4.33/3.15 (~until5(s9)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[544, 543])).
% 4.33/3.15 tff(546,plain,
% 4.33/3.15 (~xuntil6(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[221, 545])).
% 4.33/3.15 tff(547,plain,
% 4.33/3.15 (~until5(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[241, 155, 546, 542])).
% 4.33/3.15 tff(548,plain,
% 4.33/3.15 (~xuntil6(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[250, 547])).
% 4.33/3.15 tff(549,plain,
% 4.33/3.15 (~always3(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[259, 541])).
% 4.33/3.15 tff(550,plain,
% 4.33/3.15 (~node4(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[263, 35, 549])).
% 4.33/3.15 tff(551,plain,
% 4.33/3.15 (xuntil6(s7) | (~until5(s7))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[270, 155, 550])).
% 4.33/3.15 tff(552,plain,
% 4.33/3.15 (~until5(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[551, 548])).
% 4.33/3.15 tff(553,plain,
% 4.33/3.15 (~xuntil6(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[279, 552])).
% 4.33/3.15 tff(554,plain,
% 4.33/3.15 (~always3(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[288, 549])).
% 4.33/3.15 tff(555,plain,
% 4.33/3.15 (~node4(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[292, 35, 554])).
% 4.33/3.15 tff(556,plain,
% 4.33/3.15 (xuntil6(s6) | (~until5(s6))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[299, 155, 555])).
% 4.33/3.15 tff(557,plain,
% 4.33/3.15 (~until5(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[556, 553])).
% 4.33/3.15 tff(558,plain,
% 4.33/3.15 (~xuntil6(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[476, 557])).
% 4.33/3.15 tff(559,plain,
% 4.33/3.15 (~always3(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[312, 554])).
% 4.33/3.15 tff(560,plain,
% 4.33/3.15 (~node4(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[463, 35, 559])).
% 4.33/3.15 tff(561,plain,
% 4.33/3.15 (xuntil6(s5) | (~until5(s5))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[470, 155, 560])).
% 4.33/3.15 tff(562,plain,
% 4.33/3.15 (~until5(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[561, 558])).
% 4.33/3.15 tff(563,plain,
% 4.33/3.15 (~always3(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[324, 559])).
% 4.33/3.15 tff(564,plain,
% 4.33/3.15 (~always3(s3)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[336, 563])).
% 4.33/3.15 tff(565,plain,
% 4.33/3.15 (~always3(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[348, 564])).
% 4.33/3.15 tff(566,plain,
% 4.33/3.15 (~always3(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[360, 565])).
% 4.33/3.15 tff(567,plain,
% 4.33/3.15 (~node4(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[364, 35, 566])).
% 4.33/3.15 tff(568,plain,
% 4.33/3.15 (~always3(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[376, 566])).
% 4.33/3.15 tff(569,plain,
% 4.33/3.15 (~node4(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[380, 35, 568])).
% 4.33/3.15 tff(570,plain,
% 4.33/3.15 (xuntil6(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[391, 569])).
% 4.33/3.15 tff(571,plain,
% 4.33/3.15 (until5(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[396, 570])).
% 4.33/3.15 tff(572,plain,
% 4.33/3.15 (xuntil6(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[403, 155, 571, 567])).
% 4.33/3.15 tff(573,plain,
% 4.33/3.15 (until5(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[408, 572])).
% 4.33/3.15 tff(574,plain,
% 4.33/3.15 (~node4(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[412, 35, 565])).
% 4.33/3.15 tff(575,plain,
% 4.33/3.15 (xuntil6(s2) | (~until5(s2))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[419, 155, 574])).
% 4.33/3.15 tff(576,plain,
% 4.33/3.15 (xuntil6(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[575, 573])).
% 4.33/3.15 tff(577,plain,
% 4.33/3.15 (until5(s3)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[425, 576])).
% 4.33/3.15 tff(578,plain,
% 4.33/3.15 (~node4(s3)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[429, 35, 564])).
% 4.33/3.15 tff(579,plain,
% 4.33/3.15 (xuntil6(s3) | (~until5(s3))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[436, 155, 578])).
% 4.33/3.15 tff(580,plain,
% 4.33/3.15 (xuntil6(s3)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[579, 577])).
% 4.33/3.15 tff(581,plain,
% 4.33/3.15 (until5(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[442, 580])).
% 4.33/3.15 tff(582,plain,
% 4.33/3.15 (~node4(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[446, 35, 563])).
% 4.33/3.15 tff(583,plain,
% 4.33/3.15 (xuntil6(s4) | (~until5(s4))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[453, 155, 582])).
% 4.33/3.15 tff(584,plain,
% 4.33/3.15 (xuntil6(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[583, 581])).
% 4.33/3.15 tff(585,plain,
% 4.33/3.15 ($false),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[459, 584, 562])).
% 4.33/3.15 tff(586,plain,(always3(s9) | xuntil6(s9)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.15 tff(587,plain,
% 4.33/3.15 (always3(s9)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[586, 539])).
% 4.33/3.15 tff(588,plain,
% 4.33/3.15 (always3(s10)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[201, 587])).
% 4.33/3.15 tff(589,plain,
% 4.33/3.15 (~m_main_v_state(s10, c_busy)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[531, 75, 588])).
% 4.33/3.15 tff(590,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(591,plain,
% 4.33/3.15 (((~m_main_v_state(s9, c_busy)) | (~always3(s9))) <=> ((~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(592,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s9)) | (~m_main_v_state(s9, c_busy))))),
% 4.33/3.15 inference(monotonicity,[status(thm)],[591])).
% 4.33/3.15 tff(593,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy)))),
% 4.33/3.15 inference(transitivity,[status(thm)],[592, 590])).
% 4.33/3.15 tff(594,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s9, c_busy)) | (~always3(s9)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(595,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s9)) | (~m_main_v_state(s9, c_busy))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[594, 593])).
% 4.33/3.15 tff(596,plain,
% 4.33/3.15 (~m_main_v_state(s9, c_busy)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[595, 75, 587])).
% 4.33/3.15 tff(597,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(598,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(599,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s9, c_busy) | m_main_v_state(s9, c_ready)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[598, 597])).
% 4.33/3.15 tff(600,plain,
% 4.33/3.15 (m_main_v_state(s9, c_ready)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[599, 118, 596])).
% 4.33/3.15 tff(601,assumption,(~xuntil6(s1)), introduced(assumption)).
% 4.33/3.15 tff(602,assumption,(~always3(s1)), introduced(assumption)).
% 4.33/3.15 tff(603,plain,
% 4.33/3.15 (~node4(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[364, 35, 602])).
% 4.33/3.15 tff(604,plain,
% 4.33/3.15 (node4(s1) | (~until5(s1))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[403, 155, 601])).
% 4.33/3.15 tff(605,plain,
% 4.33/3.15 (~until5(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[604, 603])).
% 4.33/3.15 tff(606,plain,
% 4.33/3.15 (~always3(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[376, 602])).
% 4.33/3.15 tff(607,plain,
% 4.33/3.15 (~node4(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[380, 35, 606])).
% 4.33/3.15 tff(608,plain,
% 4.33/3.15 (xuntil6(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[391, 607])).
% 4.33/3.15 tff(609,plain,
% 4.33/3.15 ($false),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[396, 608, 605])).
% 4.33/3.15 tff(610,plain,(always3(s1) | xuntil6(s1)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.15 tff(611,plain,
% 4.33/3.15 (always3(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[610, 601])).
% 4.33/3.15 tff(612,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(613,plain,
% 4.33/3.15 (((~m_main_v_state(s1, c_busy)) | (~always3(s1))) <=> ((~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(614,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s1)) | (~m_main_v_state(s1, c_busy))))),
% 4.33/3.15 inference(monotonicity,[status(thm)],[613])).
% 4.33/3.15 tff(615,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy)))),
% 4.33/3.15 inference(transitivity,[status(thm)],[614, 612])).
% 4.33/3.15 tff(616,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s1, c_busy)) | (~always3(s1)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(617,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s1)) | (~m_main_v_state(s1, c_busy))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[616, 615])).
% 4.33/3.15 tff(618,plain,
% 4.33/3.15 (~m_main_v_state(s1, c_busy)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[617, 75, 611])).
% 4.33/3.15 tff(619,plain,
% 4.33/3.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(620,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s0, s1)) | node2(s0, s1))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(621,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s0, s1)) | node2(s0, s1)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[620, 619])).
% 4.33/3.15 tff(622,plain,
% 4.33/3.15 (node2(s0, s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[621, 7, 372])).
% 4.33/3.15 tff(623,plain,
% 4.33/3.15 (m_main_v_state(s0, c_ready) <=> m_main_v_state(s0, c_ready)),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(624,axiom,(m_main_v_state(s0, c_ready)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_3')).
% 4.33/3.15 tff(625,plain,
% 4.33/3.15 (m_main_v_state(s0, c_ready)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[624, 623])).
% 4.33/3.15 tff(626,plain,
% 4.33/3.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(627,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(628,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s0, c_ready)) | (~node2(s0, s1)) | m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[627, 626])).
% 4.33/3.15 tff(629,plain,
% 4.33/3.15 (m_main_v_state(s1, c_busy) | (~m_main_v_request(s0))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[628, 625, 96, 622])).
% 4.33/3.15 tff(630,plain,
% 4.33/3.15 (~m_main_v_request(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[629, 618])).
% 4.33/3.15 tff(631,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(632,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s0) | (~node4(s0)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(633,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s0) | (~node4(s0))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[632, 631])).
% 4.33/3.15 tff(634,plain,
% 4.33/3.15 (~node4(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[633, 17, 630])).
% 4.33/3.15 tff(635,plain,
% 4.33/3.15 (xuntil6(s0)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[391, 634])).
% 4.33/3.15 tff(636,plain,
% 4.33/3.15 (until5(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[396, 635])).
% 4.33/3.15 tff(637,plain,
% 4.33/3.15 (node4(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[604, 636])).
% 4.33/3.15 tff(638,plain,
% 4.33/3.15 (always3(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[360, 611])).
% 4.33/3.15 tff(639,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(640,plain,
% 4.33/3.15 (((~m_main_v_state(s2, c_busy)) | (~always3(s2))) <=> ((~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(641,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s2)) | (~m_main_v_state(s2, c_busy))))),
% 4.33/3.15 inference(monotonicity,[status(thm)],[640])).
% 4.33/3.15 tff(642,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy)))),
% 4.33/3.15 inference(transitivity,[status(thm)],[641, 639])).
% 4.33/3.15 tff(643,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s2, c_busy)) | (~always3(s2)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(644,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s2)) | (~m_main_v_state(s2, c_busy))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[643, 642])).
% 4.33/3.15 tff(645,plain,
% 4.33/3.15 (~m_main_v_state(s2, c_busy)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[644, 75, 638])).
% 4.33/3.15 tff(646,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(647,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(648,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s1, c_busy) | m_main_v_state(s1, c_ready)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[647, 646])).
% 4.33/3.15 tff(649,plain,
% 4.33/3.15 (m_main_v_state(s1, c_ready)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[648, 118, 618])).
% 4.33/3.15 tff(650,plain,
% 4.33/3.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(651,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s1, s2)) | node2(s1, s2))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(652,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s1, s2)) | node2(s1, s2)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[651, 650])).
% 4.33/3.15 tff(653,plain,
% 4.33/3.15 (node2(s1, s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[652, 7, 356])).
% 4.33/3.15 tff(654,plain,
% 4.33/3.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(655,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(656,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s1, c_ready)) | (~node2(s1, s2)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[655, 654])).
% 4.33/3.15 tff(657,plain,
% 4.33/3.15 ((~m_main_v_state(s1, c_ready)) | m_main_v_state(s2, c_busy) | (~m_main_v_request(s1))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[656, 96, 653])).
% 4.33/3.15 tff(658,plain,
% 4.33/3.15 (~m_main_v_request(s1)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[657, 649, 645])).
% 4.33/3.15 tff(659,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(660,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s1) | (~node4(s1)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(661,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s1) | (~node4(s1))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[660, 659])).
% 4.33/3.15 tff(662,plain,
% 4.33/3.15 ($false),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[661, 17, 658, 637])).
% 4.33/3.15 tff(663,plain,(xuntil6(s1)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.15 tff(664,plain,
% 4.33/3.15 (until5(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[408, 663])).
% 4.33/3.15 tff(665,assumption,(~xuntil6(s8)), introduced(assumption)).
% 4.33/3.15 tff(666,assumption,(until5(s2)), introduced(assumption)).
% 4.33/3.15 tff(667,assumption,(~always3(s8)), introduced(assumption)).
% 4.33/3.15 tff(668,plain,
% 4.33/3.15 (~always3(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[259, 667])).
% 4.33/3.15 tff(669,plain,
% 4.33/3.15 (~always3(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[288, 668])).
% 4.33/3.15 tff(670,plain,
% 4.33/3.15 (~always3(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[312, 669])).
% 4.33/3.15 tff(671,plain,
% 4.33/3.15 (~always3(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[324, 670])).
% 4.33/3.15 tff(672,plain,
% 4.33/3.15 (~always3(s3)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[336, 671])).
% 4.33/3.15 tff(673,plain,
% 4.33/3.15 (~node4(s3)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[429, 35, 672])).
% 4.33/3.15 tff(674,plain,
% 4.33/3.15 (~always3(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[348, 672])).
% 4.33/3.15 tff(675,plain,
% 4.33/3.15 (~node4(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[412, 35, 674])).
% 4.33/3.15 tff(676,plain,
% 4.33/3.15 (xuntil6(s2) | node4(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[419, 155, 666])).
% 4.33/3.15 tff(677,plain,
% 4.33/3.15 (xuntil6(s2)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[676, 675])).
% 4.33/3.15 tff(678,plain,
% 4.33/3.15 (until5(s3)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[425, 677])).
% 4.33/3.15 tff(679,plain,
% 4.33/3.15 (xuntil6(s3)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[436, 155, 678, 673])).
% 4.33/3.15 tff(680,plain,
% 4.33/3.15 (until5(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[442, 679])).
% 4.33/3.15 tff(681,plain,
% 4.33/3.15 (~node4(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[446, 35, 671])).
% 4.33/3.15 tff(682,plain,
% 4.33/3.15 (xuntil6(s4) | (~until5(s4))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[453, 155, 681])).
% 4.33/3.15 tff(683,plain,
% 4.33/3.15 (xuntil6(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[682, 680])).
% 4.33/3.15 tff(684,plain,
% 4.33/3.15 (until5(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[459, 683])).
% 4.33/3.15 tff(685,plain,
% 4.33/3.15 (~node4(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[463, 35, 670])).
% 4.33/3.15 tff(686,plain,
% 4.33/3.15 (xuntil6(s5) | (~until5(s5))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[470, 155, 685])).
% 4.33/3.15 tff(687,plain,
% 4.33/3.15 (xuntil6(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[686, 684])).
% 4.33/3.15 tff(688,plain,
% 4.33/3.15 (until5(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[476, 687])).
% 4.33/3.15 tff(689,plain,
% 4.33/3.15 (~node4(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[292, 35, 669])).
% 4.33/3.15 tff(690,plain,
% 4.33/3.15 (xuntil6(s6) | (~until5(s6))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[299, 155, 689])).
% 4.33/3.15 tff(691,plain,
% 4.33/3.15 (xuntil6(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[690, 688])).
% 4.33/3.15 tff(692,plain,
% 4.33/3.15 (until5(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[279, 691])).
% 4.33/3.15 tff(693,plain,
% 4.33/3.15 (~node4(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[263, 35, 668])).
% 4.33/3.15 tff(694,plain,
% 4.33/3.15 (xuntil6(s7) | (~until5(s7))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[270, 155, 693])).
% 4.33/3.15 tff(695,plain,
% 4.33/3.15 (xuntil6(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[694, 692])).
% 4.33/3.15 tff(696,plain,
% 4.33/3.15 (until5(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[250, 695])).
% 4.33/3.15 tff(697,plain,
% 4.33/3.15 (node4(s8) | (~until5(s8))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[241, 155, 665])).
% 4.33/3.15 tff(698,plain,
% 4.33/3.15 (node4(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[697, 696])).
% 4.33/3.15 tff(699,plain,
% 4.33/3.15 ($false),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[234, 35, 667, 698])).
% 4.33/3.15 tff(700,plain,(always3(s8) | xuntil6(s8) | (~until5(s2))), inference(lemma,lemma(discharge,[]))).
% 4.33/3.15 tff(701,plain,
% 4.33/3.15 (always3(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[700, 666, 665])).
% 4.33/3.15 tff(702,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(703,plain,
% 4.33/3.15 (((~m_main_v_state(s8, c_busy)) | (~always3(s8))) <=> ((~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(704,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s8)) | (~m_main_v_state(s8, c_busy))))),
% 4.33/3.15 inference(monotonicity,[status(thm)],[703])).
% 4.33/3.15 tff(705,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy)))),
% 4.33/3.15 inference(transitivity,[status(thm)],[704, 702])).
% 4.33/3.15 tff(706,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s8, c_busy)) | (~always3(s8)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(707,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s8)) | (~m_main_v_state(s8, c_busy))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[706, 705])).
% 4.33/3.15 tff(708,plain,
% 4.33/3.15 (~m_main_v_state(s8, c_busy)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[707, 75, 701])).
% 4.33/3.15 tff(709,assumption,(~m_main_v_state(s9, c_busy)), introduced(assumption)).
% 4.33/3.15 tff(710,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(711,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(712,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s8, c_busy) | m_main_v_state(s8, c_ready)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[711, 710])).
% 4.33/3.15 tff(713,plain,
% 4.33/3.15 (m_main_v_state(s8, c_ready)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[712, 118, 708])).
% 4.33/3.15 tff(714,plain,
% 4.33/3.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(715,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s8, s9)) | node2(s8, s9))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(716,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s8, s9)) | node2(s8, s9)),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[715, 714])).
% 4.33/3.15 tff(717,plain,
% 4.33/3.15 (node2(s8, s9)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[716, 7, 226])).
% 4.33/3.15 tff(718,plain,
% 4.33/3.15 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(719,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(720,plain,
% 4.33/3.15 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s8, c_ready)) | (~node2(s8, s9)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[719, 718])).
% 4.33/3.15 tff(721,plain,
% 4.33/3.15 ((~m_main_v_state(s8, c_ready)) | m_main_v_state(s9, c_busy) | (~m_main_v_request(s8))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[720, 96, 717])).
% 4.33/3.15 tff(722,plain,
% 4.33/3.15 (~m_main_v_request(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[721, 713, 709])).
% 4.33/3.15 tff(723,plain,
% 4.33/3.15 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(724,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s8) | (~node4(s8)))),
% 4.33/3.15 inference(quant_inst,[status(thm)],[])).
% 4.33/3.15 tff(725,plain,
% 4.33/3.15 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s8) | (~node4(s8))),
% 4.33/3.15 inference(modus_ponens,[status(thm)],[724, 723])).
% 4.33/3.15 tff(726,plain,
% 4.33/3.15 (~node4(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[725, 17, 722])).
% 4.33/3.15 tff(727,plain,
% 4.33/3.15 (~until5(s8)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[697, 726])).
% 4.33/3.15 tff(728,plain,
% 4.33/3.15 (~xuntil6(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[250, 727])).
% 4.33/3.15 tff(729,assumption,(~xuntil6(s7)), introduced(assumption)).
% 4.33/3.15 tff(730,assumption,(until5(s4)), introduced(assumption)).
% 4.33/3.15 tff(731,assumption,(~always3(s7)), introduced(assumption)).
% 4.33/3.15 tff(732,plain,
% 4.33/3.15 (~always3(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[288, 731])).
% 4.33/3.15 tff(733,plain,
% 4.33/3.15 (~always3(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[312, 732])).
% 4.33/3.15 tff(734,plain,
% 4.33/3.15 (~node4(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[463, 35, 733])).
% 4.33/3.15 tff(735,plain,
% 4.33/3.15 (~always3(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[324, 733])).
% 4.33/3.15 tff(736,plain,
% 4.33/3.15 (~node4(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[446, 35, 735])).
% 4.33/3.15 tff(737,plain,
% 4.33/3.15 (xuntil6(s4) | node4(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[453, 155, 730])).
% 4.33/3.15 tff(738,plain,
% 4.33/3.15 (xuntil6(s4)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[737, 736])).
% 4.33/3.15 tff(739,plain,
% 4.33/3.15 (until5(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[459, 738])).
% 4.33/3.15 tff(740,plain,
% 4.33/3.15 (xuntil6(s5)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[470, 155, 739, 734])).
% 4.33/3.15 tff(741,plain,
% 4.33/3.15 (until5(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[476, 740])).
% 4.33/3.15 tff(742,plain,
% 4.33/3.15 (~node4(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[292, 35, 732])).
% 4.33/3.15 tff(743,plain,
% 4.33/3.15 (xuntil6(s6) | (~until5(s6))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[299, 155, 742])).
% 4.33/3.15 tff(744,plain,
% 4.33/3.15 (xuntil6(s6)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[743, 741])).
% 4.33/3.15 tff(745,plain,
% 4.33/3.15 (until5(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[279, 744])).
% 4.33/3.15 tff(746,plain,
% 4.33/3.15 (node4(s7) | (~until5(s7))),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[270, 155, 729])).
% 4.33/3.15 tff(747,plain,
% 4.33/3.15 (node4(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[746, 745])).
% 4.33/3.15 tff(748,plain,
% 4.33/3.15 ($false),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[263, 35, 731, 747])).
% 4.33/3.15 tff(749,plain,(always3(s7) | xuntil6(s7) | (~until5(s4))), inference(lemma,lemma(discharge,[]))).
% 4.33/3.15 tff(750,plain,
% 4.33/3.15 (always3(s7)),
% 4.33/3.15 inference(unit_resolution,[status(thm)],[749, 730, 729])).
% 4.33/3.15 tff(751,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(752,plain,
% 4.33/3.15 (((~m_main_v_state(s7, c_busy)) | (~always3(s7))) <=> ((~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 4.33/3.15 inference(rewrite,[status(thm)],[])).
% 4.33/3.15 tff(753,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s7)) | (~m_main_v_state(s7, c_busy))))),
% 4.33/3.15 inference(monotonicity,[status(thm)],[752])).
% 4.33/3.15 tff(754,plain,
% 4.33/3.15 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy)))),
% 4.33/3.15 inference(transitivity,[status(thm)],[753, 751])).
% 4.33/3.15 tff(755,plain,
% 4.33/3.15 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s7, c_busy)) | (~always3(s7)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(756,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s7)) | (~m_main_v_state(s7, c_busy))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[755, 754])).
% 4.33/3.16 tff(757,plain,
% 4.33/3.16 (~m_main_v_state(s7, c_busy)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[756, 75, 750])).
% 4.33/3.16 tff(758,assumption,(~m_main_v_state(s7, c_busy)), introduced(assumption)).
% 4.33/3.16 tff(759,assumption,(node4(s6)), introduced(assumption)).
% 4.33/3.16 tff(760,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(761,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s6) | (~node4(s6)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(762,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s6) | (~node4(s6))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[761, 760])).
% 4.33/3.16 tff(763,plain,
% 4.33/3.16 (m_main_v_request(s6)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[762, 17, 759])).
% 4.33/3.16 tff(764,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(765,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s6, s7)) | node2(s6, s7))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(766,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s6, s7)) | node2(s6, s7)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[765, 764])).
% 4.33/3.16 tff(767,plain,
% 4.33/3.16 (node2(s6, s7)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[766, 7, 284])).
% 4.33/3.16 tff(768,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(769,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(770,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s6, c_ready)) | (~node2(s6, s7)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[769, 768])).
% 4.33/3.16 tff(771,plain,
% 4.33/3.16 ((~m_main_v_state(s6, c_ready)) | m_main_v_state(s7, c_busy) | (~m_main_v_request(s6))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[770, 96, 767])).
% 4.33/3.16 tff(772,plain,
% 4.33/3.16 (~m_main_v_state(s6, c_ready)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[771, 763, 758])).
% 4.33/3.16 tff(773,plain,
% 4.33/3.16 (always3(s6)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[292, 35, 759])).
% 4.33/3.16 tff(774,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(775,plain,
% 4.33/3.16 (((~m_main_v_state(s6, c_busy)) | (~always3(s6))) <=> ((~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(776,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s6)) | (~m_main_v_state(s6, c_busy))))),
% 4.33/3.16 inference(monotonicity,[status(thm)],[775])).
% 4.33/3.16 tff(777,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy)))),
% 4.33/3.16 inference(transitivity,[status(thm)],[776, 774])).
% 4.33/3.16 tff(778,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s6, c_busy)) | (~always3(s6)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(779,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s6)) | (~m_main_v_state(s6, c_busy))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[778, 777])).
% 4.33/3.16 tff(780,plain,
% 4.33/3.16 (~m_main_v_state(s6, c_busy)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[779, 75, 773])).
% 4.33/3.16 tff(781,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(782,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(783,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s6, c_busy) | m_main_v_state(s6, c_ready)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[782, 781])).
% 4.33/3.16 tff(784,plain,
% 4.33/3.16 ($false),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[783, 118, 780, 772])).
% 4.33/3.16 tff(785,plain,((~node4(s6)) | m_main_v_state(s7, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.16 tff(786,plain,
% 4.33/3.16 (~node4(s6)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[785, 757])).
% 4.33/3.16 tff(787,assumption,(~m_main_v_state(s8, c_busy)), introduced(assumption)).
% 4.33/3.16 tff(788,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(789,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(790,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s7, c_busy) | m_main_v_state(s7, c_ready)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[789, 788])).
% 4.33/3.16 tff(791,plain,
% 4.33/3.16 (m_main_v_state(s7, c_ready)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[790, 118, 757])).
% 4.33/3.16 tff(792,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(793,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s7, s8)) | node2(s7, s8))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(794,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s7, s8)) | node2(s7, s8)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[793, 792])).
% 4.33/3.16 tff(795,plain,
% 4.33/3.16 (node2(s7, s8)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[794, 7, 255])).
% 4.33/3.16 tff(796,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(797,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(798,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s7, c_ready)) | (~node2(s7, s8)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[797, 796])).
% 4.33/3.16 tff(799,plain,
% 4.33/3.16 ((~m_main_v_state(s7, c_ready)) | m_main_v_state(s8, c_busy) | (~m_main_v_request(s7))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[798, 96, 795])).
% 4.33/3.16 tff(800,plain,
% 4.33/3.16 (~m_main_v_request(s7)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[799, 791, 787])).
% 4.33/3.16 tff(801,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(802,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s7) | (~node4(s7)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(803,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s7) | (~node4(s7))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[802, 801])).
% 4.33/3.16 tff(804,plain,
% 4.33/3.16 (~node4(s7)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[803, 17, 800])).
% 4.33/3.16 tff(805,plain,
% 4.33/3.16 (~until5(s7)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[746, 804])).
% 4.33/3.16 tff(806,plain,
% 4.33/3.16 (~xuntil6(s6)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[279, 805])).
% 4.33/3.16 tff(807,plain,
% 4.33/3.16 (node4(s6) | (~until5(s6))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[299, 155, 806])).
% 4.33/3.16 tff(808,plain,
% 4.33/3.16 (~until5(s6)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[807, 786])).
% 4.33/3.16 tff(809,plain,
% 4.33/3.16 (~xuntil6(s5)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[476, 808])).
% 4.33/3.16 tff(810,assumption,(~always3(s5)), introduced(assumption)).
% 4.33/3.16 tff(811,plain,
% 4.33/3.16 (~node4(s5)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[463, 35, 810])).
% 4.33/3.16 tff(812,assumption,(~xuntil6(s5)), introduced(assumption)).
% 4.33/3.16 tff(813,plain,
% 4.33/3.16 (node4(s5) | (~until5(s5))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[470, 155, 812])).
% 4.33/3.16 tff(814,plain,
% 4.33/3.16 (~until5(s5)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[813, 811])).
% 4.33/3.16 tff(815,plain,
% 4.33/3.16 (~always3(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[324, 810])).
% 4.33/3.16 tff(816,plain,
% 4.33/3.16 (~node4(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[446, 35, 815])).
% 4.33/3.16 tff(817,plain,
% 4.33/3.16 (xuntil6(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[737, 816])).
% 4.33/3.16 tff(818,plain,
% 4.33/3.16 ($false),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[459, 817, 814])).
% 4.33/3.16 tff(819,plain,(always3(s5) | (~until5(s4)) | xuntil6(s5)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.16 tff(820,plain,
% 4.33/3.16 (always3(s5)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[819, 730, 809])).
% 4.33/3.16 tff(821,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(822,plain,
% 4.33/3.16 (((~m_main_v_state(s5, c_busy)) | (~always3(s5))) <=> ((~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(823,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s5)) | (~m_main_v_state(s5, c_busy))))),
% 4.33/3.16 inference(monotonicity,[status(thm)],[822])).
% 4.33/3.16 tff(824,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy)))),
% 4.33/3.16 inference(transitivity,[status(thm)],[823, 821])).
% 4.33/3.16 tff(825,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s5, c_busy)) | (~always3(s5)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(826,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s5)) | (~m_main_v_state(s5, c_busy))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[825, 824])).
% 4.33/3.16 tff(827,plain,
% 4.33/3.16 (~m_main_v_state(s5, c_busy)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[826, 75, 820])).
% 4.33/3.16 tff(828,plain,
% 4.33/3.16 (always3(s6)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[312, 820])).
% 4.33/3.16 tff(829,plain,
% 4.33/3.16 (~m_main_v_state(s6, c_busy)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[779, 75, 828])).
% 4.33/3.16 tff(830,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(831,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(832,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s5, c_busy) | m_main_v_state(s5, c_ready)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[831, 830])).
% 4.33/3.16 tff(833,plain,
% 4.33/3.16 (m_main_v_state(s5, c_ready)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[832, 118, 827])).
% 4.33/3.16 tff(834,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(835,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s5, s6)) | node2(s5, s6))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(836,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s5, s6)) | node2(s5, s6)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[835, 834])).
% 4.33/3.16 tff(837,plain,
% 4.33/3.16 (node2(s5, s6)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[836, 7, 308])).
% 4.33/3.16 tff(838,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(839,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(840,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s5, c_ready)) | (~node2(s5, s6)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[839, 838])).
% 4.33/3.16 tff(841,plain,
% 4.33/3.16 ((~m_main_v_state(s5, c_ready)) | m_main_v_state(s6, c_busy) | (~m_main_v_request(s5))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[840, 96, 837])).
% 4.33/3.16 tff(842,plain,
% 4.33/3.16 (~m_main_v_request(s5)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[841, 833, 829])).
% 4.33/3.16 tff(843,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(844,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s5) | (~node4(s5)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(845,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s5) | (~node4(s5))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[844, 843])).
% 4.33/3.16 tff(846,plain,
% 4.33/3.16 (~node4(s5)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[845, 17, 842])).
% 4.33/3.16 tff(847,plain,
% 4.33/3.16 (node4(s5) | (~until5(s5))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[470, 155, 809])).
% 4.33/3.16 tff(848,plain,
% 4.33/3.16 (~until5(s5)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[847, 846])).
% 4.33/3.16 tff(849,plain,
% 4.33/3.16 (~xuntil6(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[459, 848])).
% 4.33/3.16 tff(850,plain,
% 4.33/3.16 (node4(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[737, 849])).
% 4.33/3.16 tff(851,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(852,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s4) | (~node4(s4)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(853,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s4) | (~node4(s4))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[852, 851])).
% 4.33/3.16 tff(854,plain,
% 4.33/3.16 (m_main_v_request(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[853, 17, 850])).
% 4.33/3.16 tff(855,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(856,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s4, s5)) | node2(s4, s5))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(857,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s4, s5)) | node2(s4, s5)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[856, 855])).
% 4.33/3.16 tff(858,plain,
% 4.33/3.16 (node2(s4, s5)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[857, 7, 320])).
% 4.33/3.16 tff(859,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(860,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(861,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s4, c_ready)) | (~node2(s4, s5)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[860, 859])).
% 4.33/3.16 tff(862,plain,
% 4.33/3.16 ((~m_main_v_state(s4, c_ready)) | m_main_v_state(s5, c_busy) | (~m_main_v_request(s4))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[861, 96, 858])).
% 4.33/3.16 tff(863,plain,
% 4.33/3.16 (~m_main_v_state(s4, c_ready)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[862, 854, 827])).
% 4.33/3.16 tff(864,plain,
% 4.33/3.16 (always3(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[446, 35, 850])).
% 4.33/3.16 tff(865,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(866,plain,
% 4.33/3.16 (((~m_main_v_state(s4, c_busy)) | (~always3(s4))) <=> ((~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(867,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s4)) | (~m_main_v_state(s4, c_busy))))),
% 4.33/3.16 inference(monotonicity,[status(thm)],[866])).
% 4.33/3.16 tff(868,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy)))),
% 4.33/3.16 inference(transitivity,[status(thm)],[867, 865])).
% 4.33/3.16 tff(869,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s4, c_busy)) | (~always3(s4)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(870,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s4)) | (~m_main_v_state(s4, c_busy))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[869, 868])).
% 4.33/3.16 tff(871,plain,
% 4.33/3.16 (~m_main_v_state(s4, c_busy)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[870, 75, 864])).
% 4.33/3.16 tff(872,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(873,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(874,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s4, c_busy) | m_main_v_state(s4, c_ready)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[873, 872])).
% 4.33/3.16 tff(875,plain,
% 4.33/3.16 ($false),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[874, 118, 871, 863])).
% 4.33/3.16 tff(876,plain,((~until5(s4)) | xuntil6(s7) | m_main_v_state(s8, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.16 tff(877,plain,
% 4.33/3.16 (~until5(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[876, 728, 708])).
% 4.33/3.16 tff(878,plain,
% 4.33/3.16 (~xuntil6(s3)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[442, 877])).
% 4.33/3.16 tff(879,assumption,(~always3(s3)), introduced(assumption)).
% 4.33/3.16 tff(880,plain,
% 4.33/3.16 (~node4(s3)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[429, 35, 879])).
% 4.33/3.16 tff(881,assumption,(~xuntil6(s3)), introduced(assumption)).
% 4.33/3.16 tff(882,plain,
% 4.33/3.16 (node4(s3) | (~until5(s3))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[436, 155, 881])).
% 4.33/3.16 tff(883,plain,
% 4.33/3.16 (~until5(s3)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[882, 880])).
% 4.33/3.16 tff(884,plain,
% 4.33/3.16 (~always3(s2)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[348, 879])).
% 4.33/3.16 tff(885,plain,
% 4.33/3.16 (~node4(s2)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[412, 35, 884])).
% 4.33/3.16 tff(886,plain,
% 4.33/3.16 (xuntil6(s2)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[676, 885])).
% 4.33/3.16 tff(887,plain,
% 4.33/3.16 ($false),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[425, 886, 883])).
% 4.33/3.16 tff(888,plain,(always3(s3) | (~until5(s2)) | xuntil6(s3)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.16 tff(889,plain,
% 4.33/3.16 (always3(s3)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[888, 666, 878])).
% 4.33/3.16 tff(890,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(891,plain,
% 4.33/3.16 (((~m_main_v_state(s3, c_busy)) | (~always3(s3))) <=> ((~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(892,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s3)) | (~m_main_v_state(s3, c_busy))))),
% 4.33/3.16 inference(monotonicity,[status(thm)],[891])).
% 4.33/3.16 tff(893,plain,
% 4.33/3.16 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy)))),
% 4.33/3.16 inference(transitivity,[status(thm)],[892, 890])).
% 4.33/3.16 tff(894,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s3, c_busy)) | (~always3(s3)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(895,plain,
% 4.33/3.16 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s3)) | (~m_main_v_state(s3, c_busy))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[894, 893])).
% 4.33/3.16 tff(896,plain,
% 4.33/3.16 (~m_main_v_state(s3, c_busy)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[895, 75, 889])).
% 4.33/3.16 tff(897,plain,
% 4.33/3.16 (always3(s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[336, 889])).
% 4.33/3.16 tff(898,plain,
% 4.33/3.16 (~m_main_v_state(s4, c_busy)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[870, 75, 897])).
% 4.33/3.16 tff(899,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(900,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(901,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s3, c_busy) | m_main_v_state(s3, c_ready)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[900, 899])).
% 4.33/3.16 tff(902,plain,
% 4.33/3.16 (m_main_v_state(s3, c_ready)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[901, 118, 896])).
% 4.33/3.16 tff(903,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(904,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s3, s4)) | node2(s3, s4))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(905,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s3, s4)) | node2(s3, s4)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[904, 903])).
% 4.33/3.16 tff(906,plain,
% 4.33/3.16 (node2(s3, s4)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[905, 7, 332])).
% 4.33/3.16 tff(907,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(908,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(909,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s3, c_ready)) | (~node2(s3, s4)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[908, 907])).
% 4.33/3.16 tff(910,plain,
% 4.33/3.16 ((~m_main_v_state(s3, c_ready)) | m_main_v_state(s4, c_busy) | (~m_main_v_request(s3))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[909, 96, 906])).
% 4.33/3.16 tff(911,plain,
% 4.33/3.16 (~m_main_v_request(s3)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[910, 902, 898])).
% 4.33/3.16 tff(912,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(913,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s3) | (~node4(s3)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(914,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s3) | (~node4(s3))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[913, 912])).
% 4.33/3.16 tff(915,plain,
% 4.33/3.16 (~node4(s3)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[914, 17, 911])).
% 4.33/3.16 tff(916,plain,
% 4.33/3.16 (node4(s3) | (~until5(s3))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[436, 155, 878])).
% 4.33/3.16 tff(917,plain,
% 4.33/3.16 (~until5(s3)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[916, 915])).
% 4.33/3.16 tff(918,plain,
% 4.33/3.16 (~xuntil6(s2)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[425, 917])).
% 4.33/3.16 tff(919,plain,
% 4.33/3.16 (node4(s2)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[676, 918])).
% 4.33/3.16 tff(920,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(921,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s2) | (~node4(s2)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(922,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s2) | (~node4(s2))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[921, 920])).
% 4.33/3.16 tff(923,plain,
% 4.33/3.16 (m_main_v_request(s2)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[922, 17, 919])).
% 4.33/3.16 tff(924,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(925,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s2, s3)) | node2(s2, s3))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(926,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s2, s3)) | node2(s2, s3)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[925, 924])).
% 4.33/3.16 tff(927,plain,
% 4.33/3.16 (node2(s2, s3)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[926, 7, 344])).
% 4.33/3.16 tff(928,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(929,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(930,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s2, c_ready)) | (~node2(s2, s3)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[929, 928])).
% 4.33/3.16 tff(931,plain,
% 4.33/3.16 ((~m_main_v_state(s2, c_ready)) | m_main_v_state(s3, c_busy) | (~m_main_v_request(s2))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[930, 96, 927])).
% 4.33/3.16 tff(932,plain,
% 4.33/3.16 (~m_main_v_state(s2, c_ready)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[931, 923, 896])).
% 4.33/3.16 tff(933,plain,
% 4.33/3.16 (always3(s2)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[412, 35, 919])).
% 4.33/3.16 tff(934,plain,
% 4.33/3.16 (~m_main_v_state(s2, c_busy)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[644, 75, 933])).
% 4.33/3.16 tff(935,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(936,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(937,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s2, c_busy) | m_main_v_state(s2, c_ready)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[936, 935])).
% 4.33/3.16 tff(938,plain,
% 4.33/3.16 ($false),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[937, 118, 934, 932])).
% 4.33/3.16 tff(939,plain,((~until5(s2)) | xuntil6(s8) | m_main_v_state(s9, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.16 tff(940,plain,
% 4.33/3.16 (xuntil6(s8)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[939, 596, 664])).
% 4.33/3.16 tff(941,plain,
% 4.33/3.16 (until5(s9)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[221, 940])).
% 4.33/3.16 tff(942,plain,
% 4.33/3.16 (node4(s9)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[544, 941])).
% 4.33/3.16 tff(943,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(944,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s9) | (~node4(s9)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(945,plain,
% 4.33/3.16 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s9) | (~node4(s9))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[944, 943])).
% 4.33/3.16 tff(946,plain,
% 4.33/3.16 (m_main_v_request(s9)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[945, 17, 942])).
% 4.33/3.16 tff(947,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(948,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s9, s10)) | node2(s9, s10))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(949,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s9, s10)) | node2(s9, s10)),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[948, 947])).
% 4.33/3.16 tff(950,plain,
% 4.33/3.16 (node2(s9, s10)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[949, 7, 197])).
% 4.33/3.16 tff(951,plain,
% 4.33/3.16 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))),
% 4.33/3.16 inference(rewrite,[status(thm)],[])).
% 4.33/3.16 tff(952,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9)))),
% 4.33/3.16 inference(quant_inst,[status(thm)],[])).
% 4.33/3.16 tff(953,plain,
% 4.33/3.16 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s9, c_ready)) | (~node2(s9, s10)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 4.33/3.16 inference(modus_ponens,[status(thm)],[952, 951])).
% 4.33/3.16 tff(954,plain,
% 4.33/3.16 ((~m_main_v_state(s9, c_ready)) | m_main_v_state(s10, c_busy) | (~m_main_v_request(s9))),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[953, 96, 950])).
% 4.33/3.16 tff(955,plain,
% 4.33/3.16 ($false),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[954, 946, 600, 589])).
% 4.33/3.16 tff(956,plain,(xuntil6(s9)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.16 tff(957,plain,
% 4.33/3.16 (until5(s10)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[192, 956])).
% 4.33/3.16 tff(958,plain,
% 4.33/3.16 (xuntil6(s10) | node4(s10)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[184, 155, 957])).
% 4.33/3.16 tff(959,plain,
% 4.33/3.16 (xuntil6(s10)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[958, 538])).
% 4.33/3.16 tff(960,plain,
% 4.33/3.16 (until5(s11)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[177, 959])).
% 4.33/3.16 tff(961,plain,
% 4.33/3.16 (node4(s11)),
% 4.33/3.16 inference(unit_resolution,[status(thm)],[162, 960])).
% 4.33/3.16 tff(962,plain,
% 4.33/3.16 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(963,plain,
% 4.33/3.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s11) | (~node4(s11)))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(964,plain,
% 4.33/3.17 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s11) | (~node4(s11))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[963, 962])).
% 4.33/3.17 tff(965,plain,
% 4.33/3.17 (m_main_v_request(s11)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[964, 17, 961])).
% 4.33/3.17 tff(966,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(967,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s11, s12)) | node2(s11, s12))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(968,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s11, s12)) | node2(s11, s12)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[967, 966])).
% 4.33/3.17 tff(969,plain,
% 4.33/3.17 (node2(s11, s12)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[968, 7, 486])).
% 4.33/3.17 tff(970,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(971,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11)))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(972,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s11, c_ready)) | (~node2(s11, s12)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[971, 970])).
% 4.33/3.17 tff(973,plain,
% 4.33/3.17 ((~m_main_v_state(s11, c_ready)) | m_main_v_state(s12, c_busy) | (~m_main_v_request(s11))),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[972, 96, 969])).
% 4.33/3.17 tff(974,plain,
% 4.33/3.17 ($false),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[973, 965, 509, 498])).
% 4.33/3.17 tff(975,plain,(xuntil6(s11)), inference(lemma,lemma(discharge,[]))).
% 4.33/3.17 tff(976,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(977,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(978,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s11, s12)) | (~xuntil6(s11)) | until5(s12)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[977, 976])).
% 4.33/3.17 tff(979,plain,
% 4.33/3.17 ((~xuntil6(s11)) | until5(s12)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[978, 482, 173])).
% 4.33/3.17 tff(980,plain,
% 4.33/3.17 (until5(s12)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[979, 975])).
% 4.33/3.17 tff(981,assumption,(~xuntil6(s30)), introduced(assumption)).
% 4.33/3.17 tff(982,assumption,(until5(s12)), introduced(assumption)).
% 4.33/3.17 tff(983,assumption,(~always3(s30)), introduced(assumption)).
% 4.33/3.17 tff(984,plain,
% 4.33/3.17 (succ(s29, s30) <=> succ(s29, s30)),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(985,axiom,(succ(s29, s30)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound30')).
% 4.33/3.17 tff(986,plain,
% 4.33/3.17 (succ(s29, s30)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[985, 984])).
% 4.33/3.17 tff(987,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(988,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s29, s30)) | trans(s29, s30))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(989,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s29, s30)) | trans(s29, s30)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[988, 987])).
% 4.33/3.17 tff(990,plain,
% 4.33/3.17 (trans(s29, s30)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[989, 986, 46])).
% 4.33/3.17 tff(991,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(992,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s29, s30)) | (~always3(s29)) | always3(s30))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(993,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s29, s30)) | (~always3(s29)) | always3(s30)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[992, 991])).
% 4.33/3.17 tff(994,plain,
% 4.33/3.17 ((~always3(s29)) | always3(s30)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[993, 63, 990])).
% 4.33/3.17 tff(995,plain,
% 4.33/3.17 (~always3(s29)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[994, 983])).
% 4.33/3.17 tff(996,plain,
% 4.33/3.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(997,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s29) | (~node4(s29)))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(998,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s29) | (~node4(s29))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[997, 996])).
% 4.33/3.17 tff(999,plain,
% 4.33/3.17 (~node4(s29)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[998, 35, 995])).
% 4.33/3.17 tff(1000,plain,
% 4.33/3.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1001,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s30) | (~node4(s30)))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1002,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s30) | (~node4(s30))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 4.33/3.17 tff(1003,plain,
% 4.33/3.17 (~node4(s30)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1002, 35, 983])).
% 4.33/3.17 tff(1004,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s30) | node4(s30) | (~until5(s30)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1005,plain,
% 4.33/3.17 ((node4(s30) | (~until5(s30)) | xuntil6(s30)) <=> (xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1006,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s30) | node4(s30) | (~until5(s30))))),
% 4.33/3.17 inference(monotonicity,[status(thm)],[1005])).
% 4.33/3.17 tff(1007,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30)))),
% 4.33/3.17 inference(transitivity,[status(thm)],[1006, 1004])).
% 4.33/3.17 tff(1008,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s30) | (~until5(s30)) | xuntil6(s30))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1009,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s30) | node4(s30) | (~until5(s30))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1008, 1007])).
% 4.33/3.17 tff(1010,plain,
% 4.33/3.17 (node4(s30) | (~until5(s30))),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1009, 155, 981])).
% 4.33/3.17 tff(1011,plain,
% 4.33/3.17 (~until5(s30)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1010, 1003])).
% 4.33/3.17 tff(1012,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1013,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1014,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s29, s30)) | (~xuntil6(s29)) | until5(s30)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 4.33/3.17 tff(1015,plain,
% 4.33/3.17 ((~xuntil6(s29)) | until5(s30)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1014, 986, 173])).
% 4.33/3.17 tff(1016,plain,
% 4.33/3.17 (~xuntil6(s29)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1015, 1011])).
% 4.33/3.17 tff(1017,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s29) | node4(s29) | (~until5(s29)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1018,plain,
% 4.33/3.17 ((node4(s29) | (~until5(s29)) | xuntil6(s29)) <=> (xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1019,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s29) | node4(s29) | (~until5(s29))))),
% 4.33/3.17 inference(monotonicity,[status(thm)],[1018])).
% 4.33/3.17 tff(1020,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29)))),
% 4.33/3.17 inference(transitivity,[status(thm)],[1019, 1017])).
% 4.33/3.17 tff(1021,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s29) | (~until5(s29)) | xuntil6(s29))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1022,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s29) | node4(s29) | (~until5(s29))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1021, 1020])).
% 4.33/3.17 tff(1023,plain,
% 4.33/3.17 (~until5(s29)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1022, 155, 1016, 999])).
% 4.33/3.17 tff(1024,plain,
% 4.33/3.17 (succ(s28, s29) <=> succ(s28, s29)),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1025,axiom,(succ(s28, s29)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound29')).
% 4.33/3.17 tff(1026,plain,
% 4.33/3.17 (succ(s28, s29)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1025, 1024])).
% 4.33/3.17 tff(1027,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1028,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1029,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s28, s29)) | (~xuntil6(s28)) | until5(s29)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1028, 1027])).
% 4.33/3.17 tff(1030,plain,
% 4.33/3.17 ((~xuntil6(s28)) | until5(s29)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1029, 1026, 173])).
% 4.33/3.17 tff(1031,plain,
% 4.33/3.17 (~xuntil6(s28)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1030, 1023])).
% 4.33/3.17 tff(1032,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1033,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s28, s29)) | trans(s28, s29))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1034,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s28, s29)) | trans(s28, s29)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1033, 1032])).
% 4.33/3.17 tff(1035,plain,
% 4.33/3.17 (trans(s28, s29)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1034, 1026, 46])).
% 4.33/3.17 tff(1036,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1037,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s28, s29)) | (~always3(s28)) | always3(s29))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1038,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s28, s29)) | (~always3(s28)) | always3(s29)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 4.33/3.17 tff(1039,plain,
% 4.33/3.17 ((~always3(s28)) | always3(s29)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1038, 63, 1035])).
% 4.33/3.17 tff(1040,plain,
% 4.33/3.17 (~always3(s28)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1039, 995])).
% 4.33/3.17 tff(1041,plain,
% 4.33/3.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1042,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s28) | (~node4(s28)))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1043,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s28) | (~node4(s28))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 4.33/3.17 tff(1044,plain,
% 4.33/3.17 (~node4(s28)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1043, 35, 1040])).
% 4.33/3.17 tff(1045,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s28) | node4(s28) | (~until5(s28)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1046,plain,
% 4.33/3.17 ((node4(s28) | (~until5(s28)) | xuntil6(s28)) <=> (xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1047,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s28) | node4(s28) | (~until5(s28))))),
% 4.33/3.17 inference(monotonicity,[status(thm)],[1046])).
% 4.33/3.17 tff(1048,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28)))),
% 4.33/3.17 inference(transitivity,[status(thm)],[1047, 1045])).
% 4.33/3.17 tff(1049,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s28) | (~until5(s28)) | xuntil6(s28))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1050,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s28) | node4(s28) | (~until5(s28))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1049, 1048])).
% 4.33/3.17 tff(1051,plain,
% 4.33/3.17 (xuntil6(s28) | (~until5(s28))),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1050, 155, 1044])).
% 4.33/3.17 tff(1052,plain,
% 4.33/3.17 (~until5(s28)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1051, 1031])).
% 4.33/3.17 tff(1053,plain,
% 4.33/3.17 (succ(s27, s28) <=> succ(s27, s28)),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1054,axiom,(succ(s27, s28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound28')).
% 4.33/3.17 tff(1055,plain,
% 4.33/3.17 (succ(s27, s28)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 4.33/3.17 tff(1056,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1057,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1058,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s27, s28)) | (~xuntil6(s27)) | until5(s28)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 4.33/3.17 tff(1059,plain,
% 4.33/3.17 ((~xuntil6(s27)) | until5(s28)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1058, 1055, 173])).
% 4.33/3.17 tff(1060,plain,
% 4.33/3.17 (~xuntil6(s27)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1059, 1052])).
% 4.33/3.17 tff(1061,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1062,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s27, s28)) | trans(s27, s28))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1063,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s27, s28)) | trans(s27, s28)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 4.33/3.17 tff(1064,plain,
% 4.33/3.17 (trans(s27, s28)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1063, 1055, 46])).
% 4.33/3.17 tff(1065,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1066,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s27, s28)) | (~always3(s27)) | always3(s28))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1067,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s27, s28)) | (~always3(s27)) | always3(s28)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 4.33/3.17 tff(1068,plain,
% 4.33/3.17 ((~always3(s27)) | always3(s28)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1067, 63, 1064])).
% 4.33/3.17 tff(1069,plain,
% 4.33/3.17 (~always3(s27)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1068, 1040])).
% 4.33/3.17 tff(1070,plain,
% 4.33/3.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1071,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s27) | (~node4(s27)))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1072,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s27) | (~node4(s27))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 4.33/3.17 tff(1073,plain,
% 4.33/3.17 (~node4(s27)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1072, 35, 1069])).
% 4.33/3.17 tff(1074,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s27) | node4(s27) | (~until5(s27)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1075,plain,
% 4.33/3.17 ((node4(s27) | (~until5(s27)) | xuntil6(s27)) <=> (xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1076,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s27) | node4(s27) | (~until5(s27))))),
% 4.33/3.17 inference(monotonicity,[status(thm)],[1075])).
% 4.33/3.17 tff(1077,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27)))),
% 4.33/3.17 inference(transitivity,[status(thm)],[1076, 1074])).
% 4.33/3.17 tff(1078,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s27) | (~until5(s27)) | xuntil6(s27))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1079,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s27) | node4(s27) | (~until5(s27))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1078, 1077])).
% 4.33/3.17 tff(1080,plain,
% 4.33/3.17 (xuntil6(s27) | (~until5(s27))),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1079, 155, 1073])).
% 4.33/3.17 tff(1081,plain,
% 4.33/3.17 (~until5(s27)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1080, 1060])).
% 4.33/3.17 tff(1082,plain,
% 4.33/3.17 (succ(s26, s27) <=> succ(s26, s27)),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1083,axiom,(succ(s26, s27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound27')).
% 4.33/3.17 tff(1084,plain,
% 4.33/3.17 (succ(s26, s27)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 4.33/3.17 tff(1085,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1086,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1087,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s26, s27)) | (~xuntil6(s26)) | until5(s27)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1086, 1085])).
% 4.33/3.17 tff(1088,plain,
% 4.33/3.17 ((~xuntil6(s26)) | until5(s27)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1087, 1084, 173])).
% 4.33/3.17 tff(1089,plain,
% 4.33/3.17 (~xuntil6(s26)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1088, 1081])).
% 4.33/3.17 tff(1090,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1091,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s26, s27)) | trans(s26, s27))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1092,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s26, s27)) | trans(s26, s27)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1091, 1090])).
% 4.33/3.17 tff(1093,plain,
% 4.33/3.17 (trans(s26, s27)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1092, 1084, 46])).
% 4.33/3.17 tff(1094,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1095,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s26, s27)) | (~always3(s26)) | always3(s27))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1096,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s26, s27)) | (~always3(s26)) | always3(s27)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1095, 1094])).
% 4.33/3.17 tff(1097,plain,
% 4.33/3.17 ((~always3(s26)) | always3(s27)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1096, 63, 1093])).
% 4.33/3.17 tff(1098,plain,
% 4.33/3.17 (~always3(s26)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1097, 1069])).
% 4.33/3.17 tff(1099,plain,
% 4.33/3.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1100,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s26) | (~node4(s26)))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1101,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s26) | (~node4(s26))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1100, 1099])).
% 4.33/3.17 tff(1102,plain,
% 4.33/3.17 (~node4(s26)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1101, 35, 1098])).
% 4.33/3.17 tff(1103,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s26) | node4(s26) | (~until5(s26)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1104,plain,
% 4.33/3.17 ((node4(s26) | (~until5(s26)) | xuntil6(s26)) <=> (xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1105,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s26) | node4(s26) | (~until5(s26))))),
% 4.33/3.17 inference(monotonicity,[status(thm)],[1104])).
% 4.33/3.17 tff(1106,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26)))),
% 4.33/3.17 inference(transitivity,[status(thm)],[1105, 1103])).
% 4.33/3.17 tff(1107,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s26) | (~until5(s26)) | xuntil6(s26))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1108,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s26) | node4(s26) | (~until5(s26))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 4.33/3.17 tff(1109,plain,
% 4.33/3.17 (xuntil6(s26) | (~until5(s26))),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1108, 155, 1102])).
% 4.33/3.17 tff(1110,plain,
% 4.33/3.17 (~until5(s26)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1109, 1089])).
% 4.33/3.17 tff(1111,plain,
% 4.33/3.17 (succ(s25, s26) <=> succ(s25, s26)),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1112,axiom,(succ(s25, s26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound26')).
% 4.33/3.17 tff(1113,plain,
% 4.33/3.17 (succ(s25, s26)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1112, 1111])).
% 4.33/3.17 tff(1114,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1115,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1116,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s25, s26)) | (~xuntil6(s25)) | until5(s26)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1115, 1114])).
% 4.33/3.17 tff(1117,plain,
% 4.33/3.17 ((~xuntil6(s25)) | until5(s26)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1116, 1113, 173])).
% 4.33/3.17 tff(1118,plain,
% 4.33/3.17 (~xuntil6(s25)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1117, 1110])).
% 4.33/3.17 tff(1119,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1120,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s25, s26)) | trans(s25, s26))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1121,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s25, s26)) | trans(s25, s26)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1120, 1119])).
% 4.33/3.17 tff(1122,plain,
% 4.33/3.17 (trans(s25, s26)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1121, 1113, 46])).
% 4.33/3.17 tff(1123,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1124,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s25, s26)) | (~always3(s25)) | always3(s26))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1125,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s25, s26)) | (~always3(s25)) | always3(s26)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1124, 1123])).
% 4.33/3.17 tff(1126,plain,
% 4.33/3.17 ((~always3(s25)) | always3(s26)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1125, 63, 1122])).
% 4.33/3.17 tff(1127,plain,
% 4.33/3.17 (~always3(s25)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1126, 1098])).
% 4.33/3.17 tff(1128,plain,
% 4.33/3.17 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1129,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s25) | (~node4(s25)))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1130,plain,
% 4.33/3.17 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s25) | (~node4(s25))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1129, 1128])).
% 4.33/3.17 tff(1131,plain,
% 4.33/3.17 (~node4(s25)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1130, 35, 1127])).
% 4.33/3.17 tff(1132,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s25) | node4(s25) | (~until5(s25)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1133,plain,
% 4.33/3.17 ((node4(s25) | (~until5(s25)) | xuntil6(s25)) <=> (xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1134,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s25) | node4(s25) | (~until5(s25))))),
% 4.33/3.17 inference(monotonicity,[status(thm)],[1133])).
% 4.33/3.17 tff(1135,plain,
% 4.33/3.17 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25)))),
% 4.33/3.17 inference(transitivity,[status(thm)],[1134, 1132])).
% 4.33/3.17 tff(1136,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s25) | (~until5(s25)) | xuntil6(s25))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1137,plain,
% 4.33/3.17 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s25) | node4(s25) | (~until5(s25))),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 4.33/3.17 tff(1138,plain,
% 4.33/3.17 (xuntil6(s25) | (~until5(s25))),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1137, 155, 1131])).
% 4.33/3.17 tff(1139,plain,
% 4.33/3.17 (~until5(s25)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1138, 1118])).
% 4.33/3.17 tff(1140,plain,
% 4.33/3.17 (succ(s24, s25) <=> succ(s24, s25)),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1141,axiom,(succ(s24, s25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound25')).
% 4.33/3.17 tff(1142,plain,
% 4.33/3.17 (succ(s24, s25)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1141, 1140])).
% 4.33/3.17 tff(1143,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1144,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1145,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s24, s25)) | (~xuntil6(s24)) | until5(s25)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1144, 1143])).
% 4.33/3.17 tff(1146,plain,
% 4.33/3.17 ((~xuntil6(s24)) | until5(s25)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1145, 1142, 173])).
% 4.33/3.17 tff(1147,plain,
% 4.33/3.17 (~xuntil6(s24)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1146, 1139])).
% 4.33/3.17 tff(1148,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25))),
% 4.33/3.17 inference(rewrite,[status(thm)],[])).
% 4.33/3.17 tff(1149,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s24, s25)) | trans(s24, s25))),
% 4.33/3.17 inference(quant_inst,[status(thm)],[])).
% 4.33/3.17 tff(1150,plain,
% 4.33/3.17 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s24, s25)) | trans(s24, s25)),
% 4.33/3.17 inference(modus_ponens,[status(thm)],[1149, 1148])).
% 4.33/3.17 tff(1151,plain,
% 4.33/3.17 (trans(s24, s25)),
% 4.33/3.17 inference(unit_resolution,[status(thm)],[1150, 1142, 46])).
% 4.33/3.17 tff(1152,plain,
% 4.33/3.17 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1153,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s24, s25)) | (~always3(s24)) | always3(s25))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1154,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s24, s25)) | (~always3(s24)) | always3(s25)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1153, 1152])).
% 4.33/3.18 tff(1155,plain,
% 4.33/3.18 ((~always3(s24)) | always3(s25)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1154, 63, 1151])).
% 4.33/3.18 tff(1156,plain,
% 4.33/3.18 (~always3(s24)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1155, 1127])).
% 4.33/3.18 tff(1157,plain,
% 4.33/3.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1158,plain,
% 4.33/3.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s24) | (~node4(s24)))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1159,plain,
% 4.33/3.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s24) | (~node4(s24))),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 4.33/3.18 tff(1160,plain,
% 4.33/3.18 (~node4(s24)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1159, 35, 1156])).
% 4.33/3.18 tff(1161,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s24) | node4(s24) | (~until5(s24)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1162,plain,
% 4.33/3.18 ((node4(s24) | (~until5(s24)) | xuntil6(s24)) <=> (xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1163,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s24) | node4(s24) | (~until5(s24))))),
% 4.33/3.18 inference(monotonicity,[status(thm)],[1162])).
% 4.33/3.18 tff(1164,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24)))),
% 4.33/3.18 inference(transitivity,[status(thm)],[1163, 1161])).
% 4.33/3.18 tff(1165,plain,
% 4.33/3.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s24) | (~until5(s24)) | xuntil6(s24))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1166,plain,
% 4.33/3.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s24) | node4(s24) | (~until5(s24))),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 4.33/3.18 tff(1167,plain,
% 4.33/3.18 (xuntil6(s24) | (~until5(s24))),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1166, 155, 1160])).
% 4.33/3.18 tff(1168,plain,
% 4.33/3.18 (~until5(s24)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1167, 1147])).
% 4.33/3.18 tff(1169,plain,
% 4.33/3.18 (succ(s23, s24) <=> succ(s23, s24)),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1170,axiom,(succ(s23, s24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound24')).
% 4.33/3.18 tff(1171,plain,
% 4.33/3.18 (succ(s23, s24)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 4.33/3.18 tff(1172,plain,
% 4.33/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1173,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1174,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s23, s24)) | (~xuntil6(s23)) | until5(s24)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 4.33/3.18 tff(1175,plain,
% 4.33/3.18 ((~xuntil6(s23)) | until5(s24)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1174, 1171, 173])).
% 4.33/3.18 tff(1176,plain,
% 4.33/3.18 (~xuntil6(s23)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1175, 1168])).
% 4.33/3.18 tff(1177,plain,
% 4.33/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1178,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s23, s24)) | trans(s23, s24))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1179,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s23, s24)) | trans(s23, s24)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 4.33/3.18 tff(1180,plain,
% 4.33/3.18 (trans(s23, s24)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1179, 1171, 46])).
% 4.33/3.18 tff(1181,plain,
% 4.33/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1182,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s23, s24)) | (~always3(s23)) | always3(s24))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1183,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s23, s24)) | (~always3(s23)) | always3(s24)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 4.33/3.18 tff(1184,plain,
% 4.33/3.18 ((~always3(s23)) | always3(s24)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1183, 63, 1180])).
% 4.33/3.18 tff(1185,plain,
% 4.33/3.18 (~always3(s23)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1184, 1156])).
% 4.33/3.18 tff(1186,plain,
% 4.33/3.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1187,plain,
% 4.33/3.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s23) | (~node4(s23)))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1188,plain,
% 4.33/3.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s23) | (~node4(s23))),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1187, 1186])).
% 4.33/3.18 tff(1189,plain,
% 4.33/3.18 (~node4(s23)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1188, 35, 1185])).
% 4.33/3.18 tff(1190,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s23) | node4(s23) | (~until5(s23)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1191,plain,
% 4.33/3.18 ((node4(s23) | (~until5(s23)) | xuntil6(s23)) <=> (xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1192,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s23) | node4(s23) | (~until5(s23))))),
% 4.33/3.18 inference(monotonicity,[status(thm)],[1191])).
% 4.33/3.18 tff(1193,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23)))),
% 4.33/3.18 inference(transitivity,[status(thm)],[1192, 1190])).
% 4.33/3.18 tff(1194,plain,
% 4.33/3.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s23) | (~until5(s23)) | xuntil6(s23))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1195,plain,
% 4.33/3.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s23) | node4(s23) | (~until5(s23))),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1194, 1193])).
% 4.33/3.18 tff(1196,plain,
% 4.33/3.18 (xuntil6(s23) | (~until5(s23))),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1195, 155, 1189])).
% 4.33/3.18 tff(1197,plain,
% 4.33/3.18 (~until5(s23)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1196, 1176])).
% 4.33/3.18 tff(1198,plain,
% 4.33/3.18 (succ(s22, s23) <=> succ(s22, s23)),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1199,axiom,(succ(s22, s23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound23')).
% 4.33/3.18 tff(1200,plain,
% 4.33/3.18 (succ(s22, s23)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1199, 1198])).
% 4.33/3.18 tff(1201,plain,
% 4.33/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1202,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1203,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s22, s23)) | (~xuntil6(s22)) | until5(s23)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 4.33/3.18 tff(1204,plain,
% 4.33/3.18 ((~xuntil6(s22)) | until5(s23)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1203, 1200, 173])).
% 4.33/3.18 tff(1205,plain,
% 4.33/3.18 (~xuntil6(s22)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1204, 1197])).
% 4.33/3.18 tff(1206,plain,
% 4.33/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1207,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s22, s23)) | trans(s22, s23))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1208,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s22, s23)) | trans(s22, s23)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1207, 1206])).
% 4.33/3.18 tff(1209,plain,
% 4.33/3.18 (trans(s22, s23)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1208, 1200, 46])).
% 4.33/3.18 tff(1210,plain,
% 4.33/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1211,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s22, s23)) | (~always3(s22)) | always3(s23))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1212,plain,
% 4.33/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s22, s23)) | (~always3(s22)) | always3(s23)),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 4.33/3.18 tff(1213,plain,
% 4.33/3.18 ((~always3(s22)) | always3(s23)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1212, 63, 1209])).
% 4.33/3.18 tff(1214,plain,
% 4.33/3.18 (~always3(s22)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1213, 1185])).
% 4.33/3.18 tff(1215,plain,
% 4.33/3.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1216,plain,
% 4.33/3.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s22) | (~node4(s22)))),
% 4.33/3.18 inference(quant_inst,[status(thm)],[])).
% 4.33/3.18 tff(1217,plain,
% 4.33/3.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s22) | (~node4(s22))),
% 4.33/3.18 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 4.33/3.18 tff(1218,plain,
% 4.33/3.18 (~node4(s22)),
% 4.33/3.18 inference(unit_resolution,[status(thm)],[1217, 35, 1214])).
% 4.33/3.18 tff(1219,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s22) | node4(s22) | (~until5(s22)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1220,plain,
% 4.33/3.18 ((node4(s22) | (~until5(s22)) | xuntil6(s22)) <=> (xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 4.33/3.18 inference(rewrite,[status(thm)],[])).
% 4.33/3.18 tff(1221,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s22) | node4(s22) | (~until5(s22))))),
% 4.33/3.18 inference(monotonicity,[status(thm)],[1220])).
% 4.33/3.18 tff(1222,plain,
% 4.33/3.18 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22)))),
% 4.33/3.18 inference(transitivity,[status(thm)],[1221, 1219])).
% 4.42/3.18 tff(1223,plain,
% 4.42/3.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s22) | (~until5(s22)) | xuntil6(s22))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1224,plain,
% 4.42/3.18 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s22) | node4(s22) | (~until5(s22))),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1223, 1222])).
% 4.42/3.18 tff(1225,plain,
% 4.42/3.18 (xuntil6(s22) | (~until5(s22))),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1224, 155, 1218])).
% 4.42/3.18 tff(1226,plain,
% 4.42/3.18 (~until5(s22)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1225, 1205])).
% 4.42/3.18 tff(1227,plain,
% 4.42/3.18 (succ(s21, s22) <=> succ(s21, s22)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1228,axiom,(succ(s21, s22)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound22')).
% 4.42/3.18 tff(1229,plain,
% 4.42/3.18 (succ(s21, s22)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 4.42/3.18 tff(1230,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1231,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1232,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s21, s22)) | (~xuntil6(s21)) | until5(s22)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1231, 1230])).
% 4.42/3.18 tff(1233,plain,
% 4.42/3.18 ((~xuntil6(s21)) | until5(s22)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1232, 1229, 173])).
% 4.42/3.18 tff(1234,plain,
% 4.42/3.18 (~xuntil6(s21)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1233, 1226])).
% 4.42/3.18 tff(1235,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1236,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s21, s22)) | trans(s21, s22))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1237,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s21, s22)) | trans(s21, s22)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1236, 1235])).
% 4.42/3.18 tff(1238,plain,
% 4.42/3.18 (trans(s21, s22)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1237, 1229, 46])).
% 4.42/3.18 tff(1239,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1240,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s21, s22)) | (~always3(s21)) | always3(s22))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1241,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s21, s22)) | (~always3(s21)) | always3(s22)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 4.42/3.18 tff(1242,plain,
% 4.42/3.18 ((~always3(s21)) | always3(s22)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1241, 63, 1238])).
% 4.42/3.18 tff(1243,plain,
% 4.42/3.18 (~always3(s21)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1242, 1214])).
% 4.42/3.18 tff(1244,plain,
% 4.42/3.18 (succ(s20, s21) <=> succ(s20, s21)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1245,axiom,(succ(s20, s21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound21')).
% 4.42/3.18 tff(1246,plain,
% 4.42/3.18 (succ(s20, s21)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 4.42/3.18 tff(1247,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1248,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s20, s21)) | trans(s20, s21))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1249,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s20, s21)) | trans(s20, s21)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 4.42/3.18 tff(1250,plain,
% 4.42/3.18 (trans(s20, s21)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1249, 1246, 46])).
% 4.42/3.18 tff(1251,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1252,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s20, s21)) | (~always3(s20)) | always3(s21))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1253,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s20, s21)) | (~always3(s20)) | always3(s21)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1252, 1251])).
% 4.42/3.18 tff(1254,plain,
% 4.42/3.18 ((~always3(s20)) | always3(s21)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1253, 63, 1250])).
% 4.42/3.18 tff(1255,plain,
% 4.42/3.18 (~always3(s20)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1254, 1243])).
% 4.42/3.18 tff(1256,plain,
% 4.42/3.18 (succ(s19, s20) <=> succ(s19, s20)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1257,axiom,(succ(s19, s20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound20')).
% 4.42/3.18 tff(1258,plain,
% 4.42/3.18 (succ(s19, s20)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1257, 1256])).
% 4.42/3.18 tff(1259,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1260,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s19, s20)) | trans(s19, s20))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1261,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s19, s20)) | trans(s19, s20)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1260, 1259])).
% 4.42/3.18 tff(1262,plain,
% 4.42/3.18 (trans(s19, s20)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1261, 1258, 46])).
% 4.42/3.18 tff(1263,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1264,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s19, s20)) | (~always3(s19)) | always3(s20))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1265,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s19, s20)) | (~always3(s19)) | always3(s20)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 4.42/3.18 tff(1266,plain,
% 4.42/3.18 ((~always3(s19)) | always3(s20)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1265, 63, 1262])).
% 4.42/3.18 tff(1267,plain,
% 4.42/3.18 (~always3(s19)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1266, 1255])).
% 4.42/3.18 tff(1268,plain,
% 4.42/3.18 (succ(s18, s19) <=> succ(s18, s19)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1269,axiom,(succ(s18, s19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound19')).
% 4.42/3.18 tff(1270,plain,
% 4.42/3.18 (succ(s18, s19)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 4.42/3.18 tff(1271,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1272,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s18, s19)) | trans(s18, s19))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1273,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s18, s19)) | trans(s18, s19)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 4.42/3.18 tff(1274,plain,
% 4.42/3.18 (trans(s18, s19)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1273, 1270, 46])).
% 4.42/3.18 tff(1275,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1276,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s18, s19)) | (~always3(s18)) | always3(s19))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1277,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s18, s19)) | (~always3(s18)) | always3(s19)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 4.42/3.18 tff(1278,plain,
% 4.42/3.18 ((~always3(s18)) | always3(s19)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1277, 63, 1274])).
% 4.42/3.18 tff(1279,plain,
% 4.42/3.18 (~always3(s18)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1278, 1267])).
% 4.42/3.18 tff(1280,plain,
% 4.42/3.18 (succ(s17, s18) <=> succ(s17, s18)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1281,axiom,(succ(s17, s18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound18')).
% 4.42/3.18 tff(1282,plain,
% 4.42/3.18 (succ(s17, s18)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1281, 1280])).
% 4.42/3.18 tff(1283,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1284,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s17, s18)) | trans(s17, s18))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1285,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s17, s18)) | trans(s17, s18)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1284, 1283])).
% 4.42/3.18 tff(1286,plain,
% 4.42/3.18 (trans(s17, s18)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1285, 1282, 46])).
% 4.42/3.18 tff(1287,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1288,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s17, s18)) | (~always3(s17)) | always3(s18))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1289,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s17, s18)) | (~always3(s17)) | always3(s18)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 4.42/3.18 tff(1290,plain,
% 4.42/3.18 ((~always3(s17)) | always3(s18)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1289, 63, 1286])).
% 4.42/3.18 tff(1291,plain,
% 4.42/3.18 (~always3(s17)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1290, 1279])).
% 4.42/3.18 tff(1292,plain,
% 4.42/3.18 (succ(s16, s17) <=> succ(s16, s17)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1293,axiom,(succ(s16, s17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound17')).
% 4.42/3.18 tff(1294,plain,
% 4.42/3.18 (succ(s16, s17)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1293, 1292])).
% 4.42/3.18 tff(1295,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1296,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s16, s17)) | trans(s16, s17))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1297,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s16, s17)) | trans(s16, s17)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1296, 1295])).
% 4.42/3.18 tff(1298,plain,
% 4.42/3.18 (trans(s16, s17)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1297, 1294, 46])).
% 4.42/3.18 tff(1299,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1300,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s16, s17)) | (~always3(s16)) | always3(s17))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1301,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s16, s17)) | (~always3(s16)) | always3(s17)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1300, 1299])).
% 4.42/3.18 tff(1302,plain,
% 4.42/3.18 ((~always3(s16)) | always3(s17)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1301, 63, 1298])).
% 4.42/3.18 tff(1303,plain,
% 4.42/3.18 (~always3(s16)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1302, 1291])).
% 4.42/3.18 tff(1304,plain,
% 4.42/3.18 (succ(s15, s16) <=> succ(s15, s16)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1305,axiom,(succ(s15, s16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound16')).
% 4.42/3.18 tff(1306,plain,
% 4.42/3.18 (succ(s15, s16)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1305, 1304])).
% 4.42/3.18 tff(1307,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1308,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s15, s16)) | trans(s15, s16))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1309,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s15, s16)) | trans(s15, s16)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1308, 1307])).
% 4.42/3.18 tff(1310,plain,
% 4.42/3.18 (trans(s15, s16)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1309, 1306, 46])).
% 4.42/3.18 tff(1311,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1312,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s15, s16)) | (~always3(s15)) | always3(s16))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1313,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s15, s16)) | (~always3(s15)) | always3(s16)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 4.42/3.18 tff(1314,plain,
% 4.42/3.18 ((~always3(s15)) | always3(s16)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1313, 63, 1310])).
% 4.42/3.18 tff(1315,plain,
% 4.42/3.18 (~always3(s15)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1314, 1303])).
% 4.42/3.18 tff(1316,plain,
% 4.42/3.18 (succ(s14, s15) <=> succ(s14, s15)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1317,axiom,(succ(s14, s15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound15')).
% 4.42/3.18 tff(1318,plain,
% 4.42/3.18 (succ(s14, s15)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 4.42/3.18 tff(1319,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1320,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s14, s15)) | trans(s14, s15))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1321,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s14, s15)) | trans(s14, s15)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 4.42/3.18 tff(1322,plain,
% 4.42/3.18 (trans(s14, s15)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1321, 1318, 46])).
% 4.42/3.18 tff(1323,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1324,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s14, s15)) | (~always3(s14)) | always3(s15))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1325,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s14, s15)) | (~always3(s14)) | always3(s15)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1324, 1323])).
% 4.42/3.18 tff(1326,plain,
% 4.42/3.18 ((~always3(s14)) | always3(s15)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1325, 63, 1322])).
% 4.42/3.18 tff(1327,plain,
% 4.42/3.18 (~always3(s14)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1326, 1315])).
% 4.42/3.18 tff(1328,plain,
% 4.42/3.18 (succ(s13, s14) <=> succ(s13, s14)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1329,axiom,(succ(s13, s14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound14')).
% 4.42/3.18 tff(1330,plain,
% 4.42/3.18 (succ(s13, s14)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1329, 1328])).
% 4.42/3.18 tff(1331,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1332,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s13, s14)) | trans(s13, s14))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1333,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s13, s14)) | trans(s13, s14)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1332, 1331])).
% 4.42/3.18 tff(1334,plain,
% 4.42/3.18 (trans(s13, s14)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1333, 1330, 46])).
% 4.42/3.18 tff(1335,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1336,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s13, s14)) | (~always3(s13)) | always3(s14))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1337,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s13, s14)) | (~always3(s13)) | always3(s14)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 4.42/3.18 tff(1338,plain,
% 4.42/3.18 ((~always3(s13)) | always3(s14)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1337, 63, 1334])).
% 4.42/3.18 tff(1339,plain,
% 4.42/3.18 (~always3(s13)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1338, 1327])).
% 4.42/3.18 tff(1340,plain,
% 4.42/3.18 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13)))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1341,plain,
% 4.42/3.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s13) | (~node4(s13)))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1342,plain,
% 4.42/3.18 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s13) | (~node4(s13))),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 4.42/3.18 tff(1343,plain,
% 4.42/3.18 (~node4(s13)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1342, 35, 1339])).
% 4.42/3.18 tff(1344,plain,
% 4.42/3.18 (succ(s12, s13) <=> succ(s12, s13)),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1345,axiom,(succ(s12, s13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound13')).
% 4.42/3.18 tff(1346,plain,
% 4.42/3.18 (succ(s12, s13)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 4.42/3.18 tff(1347,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13))),
% 4.42/3.18 inference(rewrite,[status(thm)],[])).
% 4.42/3.18 tff(1348,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s12, s13)) | trans(s12, s13))),
% 4.42/3.18 inference(quant_inst,[status(thm)],[])).
% 4.42/3.18 tff(1349,plain,
% 4.42/3.18 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s12, s13)) | trans(s12, s13)),
% 4.42/3.18 inference(modus_ponens,[status(thm)],[1348, 1347])).
% 4.42/3.18 tff(1350,plain,
% 4.42/3.18 (trans(s12, s13)),
% 4.42/3.18 inference(unit_resolution,[status(thm)],[1349, 1346, 46])).
% 4.42/3.18 tff(1351,plain,
% 4.42/3.18 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1352,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s12, s13)) | (~always3(s12)) | always3(s13))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1353,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s12, s13)) | (~always3(s12)) | always3(s13)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1352, 1351])).
% 4.42/3.19 tff(1354,plain,
% 4.42/3.19 ((~always3(s12)) | always3(s13)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1353, 63, 1350])).
% 4.42/3.19 tff(1355,plain,
% 4.42/3.19 (~always3(s12)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1354, 1339])).
% 4.42/3.19 tff(1356,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1357,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s12) | (~node4(s12)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1358,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s12) | (~node4(s12))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 4.42/3.19 tff(1359,plain,
% 4.42/3.19 (~node4(s12)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1358, 35, 1355])).
% 4.42/3.19 tff(1360,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s12) | node4(s12) | (~until5(s12)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1361,plain,
% 4.42/3.19 ((node4(s12) | (~until5(s12)) | xuntil6(s12)) <=> (xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1362,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s12) | node4(s12) | (~until5(s12))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1361])).
% 4.42/3.19 tff(1363,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1362, 1360])).
% 4.42/3.19 tff(1364,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s12) | (~until5(s12)) | xuntil6(s12))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1365,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s12) | node4(s12) | (~until5(s12))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 4.42/3.19 tff(1366,plain,
% 4.42/3.19 (xuntil6(s12) | node4(s12)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1365, 155, 982])).
% 4.42/3.19 tff(1367,plain,
% 4.42/3.19 (xuntil6(s12)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1366, 1359])).
% 4.42/3.19 tff(1368,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1369,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1370,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s12, s13)) | (~xuntil6(s12)) | until5(s13)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1369, 1368])).
% 4.42/3.19 tff(1371,plain,
% 4.42/3.19 ((~xuntil6(s12)) | until5(s13)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1370, 1346, 173])).
% 4.42/3.19 tff(1372,plain,
% 4.42/3.19 (until5(s13)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1371, 1367])).
% 4.42/3.19 tff(1373,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s13) | node4(s13) | (~until5(s13)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1374,plain,
% 4.42/3.19 ((node4(s13) | (~until5(s13)) | xuntil6(s13)) <=> (xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1375,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s13) | node4(s13) | (~until5(s13))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1374])).
% 4.42/3.19 tff(1376,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1375, 1373])).
% 4.42/3.19 tff(1377,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s13) | (~until5(s13)) | xuntil6(s13))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1378,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s13) | node4(s13) | (~until5(s13))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 4.42/3.19 tff(1379,plain,
% 4.42/3.19 (xuntil6(s13)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1378, 155, 1372, 1343])).
% 4.42/3.19 tff(1380,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1381,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1382,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s13, s14)) | (~xuntil6(s13)) | until5(s14)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1381, 1380])).
% 4.42/3.19 tff(1383,plain,
% 4.42/3.19 ((~xuntil6(s13)) | until5(s14)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1382, 1330, 173])).
% 4.42/3.19 tff(1384,plain,
% 4.42/3.19 (until5(s14)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1383, 1379])).
% 4.42/3.19 tff(1385,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1386,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s14) | (~node4(s14)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1387,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s14) | (~node4(s14))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 4.42/3.19 tff(1388,plain,
% 4.42/3.19 (~node4(s14)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1387, 35, 1327])).
% 4.42/3.19 tff(1389,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s14) | node4(s14) | (~until5(s14)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1390,plain,
% 4.42/3.19 ((node4(s14) | (~until5(s14)) | xuntil6(s14)) <=> (xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1391,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s14) | node4(s14) | (~until5(s14))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1390])).
% 4.42/3.19 tff(1392,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1391, 1389])).
% 4.42/3.19 tff(1393,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s14) | (~until5(s14)) | xuntil6(s14))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1394,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s14) | node4(s14) | (~until5(s14))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 4.42/3.19 tff(1395,plain,
% 4.42/3.19 (xuntil6(s14) | (~until5(s14))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1394, 155, 1388])).
% 4.42/3.19 tff(1396,plain,
% 4.42/3.19 (xuntil6(s14)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1395, 1384])).
% 4.42/3.19 tff(1397,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1398,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1399,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s14, s15)) | (~xuntil6(s14)) | until5(s15)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1398, 1397])).
% 4.42/3.19 tff(1400,plain,
% 4.42/3.19 ((~xuntil6(s14)) | until5(s15)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1399, 1318, 173])).
% 4.42/3.19 tff(1401,plain,
% 4.42/3.19 (until5(s15)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1400, 1396])).
% 4.42/3.19 tff(1402,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1403,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s15) | (~node4(s15)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1404,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s15) | (~node4(s15))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 4.42/3.19 tff(1405,plain,
% 4.42/3.19 (~node4(s15)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1404, 35, 1315])).
% 4.42/3.19 tff(1406,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s15) | node4(s15) | (~until5(s15)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1407,plain,
% 4.42/3.19 ((node4(s15) | (~until5(s15)) | xuntil6(s15)) <=> (xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1408,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s15) | node4(s15) | (~until5(s15))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1407])).
% 4.42/3.19 tff(1409,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1408, 1406])).
% 4.42/3.19 tff(1410,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s15) | (~until5(s15)) | xuntil6(s15))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1411,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s15) | node4(s15) | (~until5(s15))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 4.42/3.19 tff(1412,plain,
% 4.42/3.19 (xuntil6(s15) | (~until5(s15))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1411, 155, 1405])).
% 4.42/3.19 tff(1413,plain,
% 4.42/3.19 (xuntil6(s15)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1412, 1401])).
% 4.42/3.19 tff(1414,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1415,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1416,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s15, s16)) | (~xuntil6(s15)) | until5(s16)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1415, 1414])).
% 4.42/3.19 tff(1417,plain,
% 4.42/3.19 ((~xuntil6(s15)) | until5(s16)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1416, 1306, 173])).
% 4.42/3.19 tff(1418,plain,
% 4.42/3.19 (until5(s16)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1417, 1413])).
% 4.42/3.19 tff(1419,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1420,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s16) | (~node4(s16)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1421,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s16) | (~node4(s16))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 4.42/3.19 tff(1422,plain,
% 4.42/3.19 (~node4(s16)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1421, 35, 1303])).
% 4.42/3.19 tff(1423,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s16) | node4(s16) | (~until5(s16)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1424,plain,
% 4.42/3.19 ((node4(s16) | (~until5(s16)) | xuntil6(s16)) <=> (xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1425,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s16) | node4(s16) | (~until5(s16))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1424])).
% 4.42/3.19 tff(1426,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1425, 1423])).
% 4.42/3.19 tff(1427,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s16) | (~until5(s16)) | xuntil6(s16))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1428,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s16) | node4(s16) | (~until5(s16))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1427, 1426])).
% 4.42/3.19 tff(1429,plain,
% 4.42/3.19 (xuntil6(s16) | (~until5(s16))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1428, 155, 1422])).
% 4.42/3.19 tff(1430,plain,
% 4.42/3.19 (xuntil6(s16)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1429, 1418])).
% 4.42/3.19 tff(1431,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1432,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1433,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s16, s17)) | (~xuntil6(s16)) | until5(s17)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1432, 1431])).
% 4.42/3.19 tff(1434,plain,
% 4.42/3.19 ((~xuntil6(s16)) | until5(s17)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1433, 1294, 173])).
% 4.42/3.19 tff(1435,plain,
% 4.42/3.19 (until5(s17)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1434, 1430])).
% 4.42/3.19 tff(1436,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1437,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s17) | (~node4(s17)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1438,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s17) | (~node4(s17))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 4.42/3.19 tff(1439,plain,
% 4.42/3.19 (~node4(s17)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1438, 35, 1291])).
% 4.42/3.19 tff(1440,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s17) | node4(s17) | (~until5(s17)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1441,plain,
% 4.42/3.19 ((node4(s17) | (~until5(s17)) | xuntil6(s17)) <=> (xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1442,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s17) | node4(s17) | (~until5(s17))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1441])).
% 4.42/3.19 tff(1443,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1442, 1440])).
% 4.42/3.19 tff(1444,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s17) | (~until5(s17)) | xuntil6(s17))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1445,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s17) | node4(s17) | (~until5(s17))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 4.42/3.19 tff(1446,plain,
% 4.42/3.19 (xuntil6(s17) | (~until5(s17))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1445, 155, 1439])).
% 4.42/3.19 tff(1447,plain,
% 4.42/3.19 (xuntil6(s17)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1446, 1435])).
% 4.42/3.19 tff(1448,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1449,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1450,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s17, s18)) | (~xuntil6(s17)) | until5(s18)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 4.42/3.19 tff(1451,plain,
% 4.42/3.19 ((~xuntil6(s17)) | until5(s18)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1450, 1282, 173])).
% 4.42/3.19 tff(1452,plain,
% 4.42/3.19 (until5(s18)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1451, 1447])).
% 4.42/3.19 tff(1453,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1454,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s18) | (~node4(s18)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1455,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s18) | (~node4(s18))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 4.42/3.19 tff(1456,plain,
% 4.42/3.19 (~node4(s18)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1455, 35, 1279])).
% 4.42/3.19 tff(1457,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s18) | node4(s18) | (~until5(s18)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1458,plain,
% 4.42/3.19 ((node4(s18) | (~until5(s18)) | xuntil6(s18)) <=> (xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1459,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s18) | node4(s18) | (~until5(s18))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1458])).
% 4.42/3.19 tff(1460,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1459, 1457])).
% 4.42/3.19 tff(1461,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s18) | (~until5(s18)) | xuntil6(s18))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1462,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s18) | node4(s18) | (~until5(s18))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 4.42/3.19 tff(1463,plain,
% 4.42/3.19 (xuntil6(s18) | (~until5(s18))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1462, 155, 1456])).
% 4.42/3.19 tff(1464,plain,
% 4.42/3.19 (xuntil6(s18)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1463, 1452])).
% 4.42/3.19 tff(1465,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1466,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1467,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s18, s19)) | (~xuntil6(s18)) | until5(s19)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 4.42/3.19 tff(1468,plain,
% 4.42/3.19 ((~xuntil6(s18)) | until5(s19)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1467, 1270, 173])).
% 4.42/3.19 tff(1469,plain,
% 4.42/3.19 (until5(s19)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1468, 1464])).
% 4.42/3.19 tff(1470,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1471,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s19) | (~node4(s19)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1472,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s19) | (~node4(s19))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 4.42/3.19 tff(1473,plain,
% 4.42/3.19 (~node4(s19)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1472, 35, 1267])).
% 4.42/3.19 tff(1474,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s19) | node4(s19) | (~until5(s19)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1475,plain,
% 4.42/3.19 ((node4(s19) | (~until5(s19)) | xuntil6(s19)) <=> (xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1476,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s19) | node4(s19) | (~until5(s19))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1475])).
% 4.42/3.19 tff(1477,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1476, 1474])).
% 4.42/3.19 tff(1478,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s19) | (~until5(s19)) | xuntil6(s19))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1479,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s19) | node4(s19) | (~until5(s19))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1478, 1477])).
% 4.42/3.19 tff(1480,plain,
% 4.42/3.19 (xuntil6(s19) | (~until5(s19))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1479, 155, 1473])).
% 4.42/3.19 tff(1481,plain,
% 4.42/3.19 (xuntil6(s19)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1480, 1469])).
% 4.42/3.19 tff(1482,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1483,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1484,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s19, s20)) | (~xuntil6(s19)) | until5(s20)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1483, 1482])).
% 4.42/3.19 tff(1485,plain,
% 4.42/3.19 ((~xuntil6(s19)) | until5(s20)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1484, 1258, 173])).
% 4.42/3.19 tff(1486,plain,
% 4.42/3.19 (until5(s20)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1485, 1481])).
% 4.42/3.19 tff(1487,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1488,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s20) | (~node4(s20)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1489,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s20) | (~node4(s20))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1488, 1487])).
% 4.42/3.19 tff(1490,plain,
% 4.42/3.19 (~node4(s20)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1489, 35, 1255])).
% 4.42/3.19 tff(1491,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s20) | node4(s20) | (~until5(s20)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1492,plain,
% 4.42/3.19 ((node4(s20) | (~until5(s20)) | xuntil6(s20)) <=> (xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1493,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s20) | node4(s20) | (~until5(s20))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1492])).
% 4.42/3.19 tff(1494,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1493, 1491])).
% 4.42/3.19 tff(1495,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s20) | (~until5(s20)) | xuntil6(s20))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1496,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s20) | node4(s20) | (~until5(s20))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 4.42/3.19 tff(1497,plain,
% 4.42/3.19 (xuntil6(s20) | (~until5(s20))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1496, 155, 1490])).
% 4.42/3.19 tff(1498,plain,
% 4.42/3.19 (xuntil6(s20)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1497, 1486])).
% 4.42/3.19 tff(1499,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1500,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1501,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s20, s21)) | (~xuntil6(s20)) | until5(s21)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 4.42/3.19 tff(1502,plain,
% 4.42/3.19 ((~xuntil6(s20)) | until5(s21)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1501, 1246, 173])).
% 4.42/3.19 tff(1503,plain,
% 4.42/3.19 (until5(s21)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1502, 1498])).
% 4.42/3.19 tff(1504,plain,
% 4.42/3.19 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1505,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s21) | (~node4(s21)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1506,plain,
% 4.42/3.19 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s21) | (~node4(s21))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 4.42/3.19 tff(1507,plain,
% 4.42/3.19 (~node4(s21)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1506, 35, 1243])).
% 4.42/3.19 tff(1508,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s21) | node4(s21) | (~until5(s21)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1509,plain,
% 4.42/3.19 ((node4(s21) | (~until5(s21)) | xuntil6(s21)) <=> (xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1510,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s21) | node4(s21) | (~until5(s21))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1509])).
% 4.42/3.19 tff(1511,plain,
% 4.42/3.19 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1510, 1508])).
% 4.42/3.19 tff(1512,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s21) | (~until5(s21)) | xuntil6(s21))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1513,plain,
% 4.42/3.19 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s21) | node4(s21) | (~until5(s21))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1512, 1511])).
% 4.42/3.19 tff(1514,plain,
% 4.42/3.19 (xuntil6(s21) | (~until5(s21))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1513, 155, 1507])).
% 4.42/3.19 tff(1515,plain,
% 4.42/3.19 ($false),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1514, 1503, 1234])).
% 4.42/3.19 tff(1516,plain,(always3(s30) | (~until5(s12)) | xuntil6(s30)), inference(lemma,lemma(discharge,[]))).
% 4.42/3.19 tff(1517,plain,
% 4.42/3.19 (always3(s30)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1516, 982, 981])).
% 4.42/3.19 tff(1518,plain,
% 4.42/3.19 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1519,plain,
% 4.42/3.19 (((~m_main_v_state(s30, c_busy)) | (~always3(s30))) <=> ((~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1520,plain,
% 4.42/3.19 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s30)) | (~m_main_v_state(s30, c_busy))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1519])).
% 4.42/3.19 tff(1521,plain,
% 4.42/3.19 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1520, 1518])).
% 4.42/3.19 tff(1522,plain,
% 4.42/3.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s30, c_busy)) | (~always3(s30)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1523,plain,
% 4.42/3.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s30)) | (~m_main_v_state(s30, c_busy))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 4.42/3.19 tff(1524,plain,
% 4.42/3.19 (~m_main_v_state(s30, c_busy)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1523, 75, 1517])).
% 4.42/3.19 tff(1525,assumption,(~m_main_v_state(s30, c_busy)), introduced(assumption)).
% 4.42/3.19 tff(1526,assumption,(node4(s29)), introduced(assumption)).
% 4.42/3.19 tff(1527,plain,
% 4.42/3.19 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1528,plain,
% 4.42/3.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s29) | (~node4(s29)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1529,plain,
% 4.42/3.19 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s29) | (~node4(s29))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1528, 1527])).
% 4.42/3.19 tff(1530,plain,
% 4.42/3.19 (m_main_v_request(s29)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1529, 17, 1526])).
% 4.42/3.19 tff(1531,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1532,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s29, s30)) | node2(s29, s30))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1533,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s29, s30)) | node2(s29, s30)),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 4.42/3.19 tff(1534,plain,
% 4.42/3.19 (node2(s29, s30)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1533, 7, 990])).
% 4.42/3.19 tff(1535,plain,
% 4.42/3.19 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1536,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1537,plain,
% 4.42/3.19 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s29, c_ready)) | (~node2(s29, s30)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 4.42/3.19 tff(1538,plain,
% 4.42/3.19 ((~m_main_v_state(s29, c_ready)) | m_main_v_state(s30, c_busy) | (~m_main_v_request(s29))),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1537, 96, 1534])).
% 4.42/3.19 tff(1539,plain,
% 4.42/3.19 (~m_main_v_state(s29, c_ready)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1538, 1530, 1525])).
% 4.42/3.19 tff(1540,plain,
% 4.42/3.19 (always3(s29)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[998, 35, 1526])).
% 4.42/3.19 tff(1541,plain,
% 4.42/3.19 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1542,plain,
% 4.42/3.19 (((~m_main_v_state(s29, c_busy)) | (~always3(s29))) <=> ((~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1543,plain,
% 4.42/3.19 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s29)) | (~m_main_v_state(s29, c_busy))))),
% 4.42/3.19 inference(monotonicity,[status(thm)],[1542])).
% 4.42/3.19 tff(1544,plain,
% 4.42/3.19 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy)))),
% 4.42/3.19 inference(transitivity,[status(thm)],[1543, 1541])).
% 4.42/3.19 tff(1545,plain,
% 4.42/3.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s29, c_busy)) | (~always3(s29)))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1546,plain,
% 4.42/3.19 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s29)) | (~m_main_v_state(s29, c_busy))),
% 4.42/3.19 inference(modus_ponens,[status(thm)],[1545, 1544])).
% 4.42/3.19 tff(1547,plain,
% 4.42/3.19 (~m_main_v_state(s29, c_busy)),
% 4.42/3.19 inference(unit_resolution,[status(thm)],[1546, 75, 1540])).
% 4.42/3.19 tff(1548,plain,
% 4.42/3.19 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready))),
% 4.42/3.19 inference(rewrite,[status(thm)],[])).
% 4.42/3.19 tff(1549,plain,
% 4.42/3.19 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready))),
% 4.42/3.19 inference(quant_inst,[status(thm)],[])).
% 4.42/3.19 tff(1550,plain,
% 4.42/3.19 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s29, c_busy) | m_main_v_state(s29, c_ready)),
% 4.42/3.20 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 4.42/3.20 tff(1551,plain,
% 4.42/3.20 ($false),
% 4.42/3.20 inference(unit_resolution,[status(thm)],[1550, 118, 1547, 1539])).
% 4.42/3.20 tff(1552,plain,((~node4(s29)) | m_main_v_state(s30, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.42/3.20 tff(1553,plain,
% 4.42/3.20 (~node4(s29)),
% 4.42/3.20 inference(unit_resolution,[status(thm)],[1552, 1524])).
% 4.42/3.20 tff(1554,plain,
% 4.42/3.20 (succ(s30, s31) <=> succ(s30, s31)),
% 4.42/3.20 inference(rewrite,[status(thm)],[])).
% 4.42/3.20 tff(1555,axiom,(succ(s30, s31)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound31')).
% 4.42/3.20 tff(1556,plain,
% 4.42/3.20 (succ(s30, s31)),
% 4.42/3.20 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 4.42/3.20 tff(1557,plain,
% 4.42/3.20 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31))),
% 4.42/3.20 inference(rewrite,[status(thm)],[])).
% 4.42/3.20 tff(1558,plain,
% 4.42/3.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s30, s31)) | trans(s30, s31))),
% 4.42/3.20 inference(quant_inst,[status(thm)],[])).
% 4.42/3.20 tff(1559,plain,
% 4.42/3.20 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s30, s31)) | trans(s30, s31)),
% 4.42/3.20 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 4.42/3.20 tff(1560,plain,
% 4.42/3.20 (trans(s30, s31)),
% 4.42/3.20 inference(unit_resolution,[status(thm)],[1559, 1556, 46])).
% 4.42/3.20 tff(1561,plain,
% 4.42/3.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 4.42/3.20 inference(rewrite,[status(thm)],[])).
% 4.42/3.20 tff(1562,plain,
% 4.42/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s30, s31)) | (~always3(s30)) | always3(s31))),
% 4.42/3.20 inference(quant_inst,[status(thm)],[])).
% 4.42/3.20 tff(1563,plain,
% 4.42/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s30, s31)) | (~always3(s30)) | always3(s31)),
% 4.42/3.20 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 4.42/3.20 tff(1564,plain,
% 4.42/3.20 ((~always3(s30)) | always3(s31)),
% 4.42/3.20 inference(unit_resolution,[status(thm)],[1563, 63, 1560])).
% 4.42/3.20 tff(1565,plain,
% 4.42/3.20 (always3(s31)),
% 4.42/3.20 inference(unit_resolution,[status(thm)],[1564, 1517])).
% 4.42/3.20 tff(1566,plain,
% 4.42/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 4.42/3.20 inference(rewrite,[status(thm)],[])).
% 4.42/3.20 tff(1567,plain,
% 4.42/3.20 (((~m_main_v_state(s31, c_busy)) | (~always3(s31))) <=> ((~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 4.42/3.20 inference(rewrite,[status(thm)],[])).
% 4.42/3.20 tff(1568,plain,
% 4.42/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s31)) | (~m_main_v_state(s31, c_busy))))),
% 4.42/3.20 inference(monotonicity,[status(thm)],[1567])).
% 4.42/3.20 tff(1569,plain,
% 4.42/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy)))),
% 4.42/3.20 inference(transitivity,[status(thm)],[1568, 1566])).
% 4.42/3.20 tff(1570,plain,
% 4.42/3.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s31, c_busy)) | (~always3(s31)))),
% 4.42/3.20 inference(quant_inst,[status(thm)],[])).
% 4.42/3.20 tff(1571,plain,
% 4.42/3.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s31)) | (~m_main_v_state(s31, c_busy))),
% 4.42/3.20 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 4.42/3.20 tff(1572,plain,
% 4.42/3.20 (~m_main_v_state(s31, c_busy)),
% 4.42/3.20 inference(unit_resolution,[status(thm)],[1571, 75, 1565])).
% 4.42/3.20 tff(1573,plain,
% 4.42/3.20 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1574,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1575,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s30, c_busy) | m_main_v_state(s30, c_ready)),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 4.44/3.20 tff(1576,plain,
% 4.44/3.20 (m_main_v_state(s30, c_ready)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1575, 118, 1524])).
% 4.44/3.20 tff(1577,plain,
% 4.44/3.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1578,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s30, s31)) | node2(s30, s31))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1579,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s30, s31)) | node2(s30, s31)),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 4.44/3.20 tff(1580,plain,
% 4.44/3.20 (node2(s30, s31)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1579, 7, 1560])).
% 4.44/3.20 tff(1581,plain,
% 4.44/3.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1582,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1583,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s30, c_ready)) | (~node2(s30, s31)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 4.44/3.20 tff(1584,plain,
% 4.44/3.20 ((~m_main_v_state(s30, c_ready)) | m_main_v_state(s31, c_busy) | (~m_main_v_request(s30))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1583, 96, 1580])).
% 4.44/3.20 tff(1585,plain,
% 4.44/3.20 (~m_main_v_request(s30)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1584, 1576, 1572])).
% 4.44/3.20 tff(1586,plain,
% 4.44/3.20 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1587,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s30) | (~node4(s30)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1588,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s30) | (~node4(s30))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1587, 1586])).
% 4.44/3.20 tff(1589,plain,
% 4.44/3.20 (~node4(s30)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1588, 17, 1585])).
% 4.44/3.20 tff(1590,plain,
% 4.44/3.20 (~until5(s30)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1010, 1589])).
% 4.44/3.20 tff(1591,plain,
% 4.44/3.20 (~xuntil6(s29)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1015, 1590])).
% 4.44/3.20 tff(1592,plain,
% 4.44/3.20 (node4(s29) | (~until5(s29))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1022, 155, 1591])).
% 4.44/3.20 tff(1593,plain,
% 4.44/3.20 (~until5(s29)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1592, 1553])).
% 4.44/3.20 tff(1594,plain,
% 4.44/3.20 (~xuntil6(s28)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1030, 1593])).
% 4.44/3.20 tff(1595,assumption,(~always3(s28)), introduced(assumption)).
% 4.44/3.20 tff(1596,plain,
% 4.44/3.20 (~always3(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1068, 1595])).
% 4.44/3.20 tff(1597,plain,
% 4.44/3.20 (~node4(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1072, 35, 1596])).
% 4.44/3.20 tff(1598,plain,
% 4.44/3.20 (~node4(s28)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1043, 35, 1595])).
% 4.44/3.20 tff(1599,assumption,(~xuntil6(s28)), introduced(assumption)).
% 4.44/3.20 tff(1600,plain,
% 4.44/3.20 (node4(s28) | (~until5(s28))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1050, 155, 1599])).
% 4.44/3.20 tff(1601,plain,
% 4.44/3.20 (~until5(s28)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1600, 1598])).
% 4.44/3.20 tff(1602,plain,
% 4.44/3.20 (~xuntil6(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1059, 1601])).
% 4.44/3.20 tff(1603,plain,
% 4.44/3.20 (~until5(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1079, 155, 1602, 1597])).
% 4.44/3.20 tff(1604,plain,
% 4.44/3.20 (~xuntil6(s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1088, 1603])).
% 4.44/3.20 tff(1605,plain,
% 4.44/3.20 (~always3(s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1097, 1596])).
% 4.44/3.20 tff(1606,plain,
% 4.44/3.20 (~node4(s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1101, 35, 1605])).
% 4.44/3.20 tff(1607,plain,
% 4.44/3.20 (xuntil6(s26) | (~until5(s26))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1108, 155, 1606])).
% 4.44/3.20 tff(1608,plain,
% 4.44/3.20 (~until5(s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1607, 1604])).
% 4.44/3.20 tff(1609,plain,
% 4.44/3.20 (~xuntil6(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1117, 1608])).
% 4.44/3.20 tff(1610,plain,
% 4.44/3.20 (~always3(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1126, 1605])).
% 4.44/3.20 tff(1611,plain,
% 4.44/3.20 (~node4(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1130, 35, 1610])).
% 4.44/3.20 tff(1612,plain,
% 4.44/3.20 (xuntil6(s25) | (~until5(s25))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1137, 155, 1611])).
% 4.44/3.20 tff(1613,plain,
% 4.44/3.20 (~until5(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1612, 1609])).
% 4.44/3.20 tff(1614,plain,
% 4.44/3.20 (~xuntil6(s24)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1146, 1613])).
% 4.44/3.20 tff(1615,plain,
% 4.44/3.20 (~always3(s24)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1155, 1610])).
% 4.44/3.20 tff(1616,plain,
% 4.44/3.20 (~node4(s24)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1159, 35, 1615])).
% 4.44/3.20 tff(1617,plain,
% 4.44/3.20 (xuntil6(s24) | (~until5(s24))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1166, 155, 1616])).
% 4.44/3.20 tff(1618,plain,
% 4.44/3.20 (~until5(s24)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1617, 1614])).
% 4.44/3.20 tff(1619,plain,
% 4.44/3.20 (~xuntil6(s23)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1175, 1618])).
% 4.44/3.20 tff(1620,plain,
% 4.44/3.20 (~always3(s23)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1184, 1615])).
% 4.44/3.20 tff(1621,plain,
% 4.44/3.20 (~node4(s23)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1188, 35, 1620])).
% 4.44/3.20 tff(1622,plain,
% 4.44/3.20 (xuntil6(s23) | (~until5(s23))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1195, 155, 1621])).
% 4.44/3.20 tff(1623,plain,
% 4.44/3.20 (~until5(s23)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1622, 1619])).
% 4.44/3.20 tff(1624,plain,
% 4.44/3.20 (~xuntil6(s22)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1204, 1623])).
% 4.44/3.20 tff(1625,plain,
% 4.44/3.20 (~always3(s22)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1213, 1620])).
% 4.44/3.20 tff(1626,plain,
% 4.44/3.20 (~node4(s22)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1217, 35, 1625])).
% 4.44/3.20 tff(1627,plain,
% 4.44/3.20 (xuntil6(s22) | (~until5(s22))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1224, 155, 1626])).
% 4.44/3.20 tff(1628,plain,
% 4.44/3.20 (~until5(s22)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1627, 1624])).
% 4.44/3.20 tff(1629,plain,
% 4.44/3.20 (~xuntil6(s21)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1233, 1628])).
% 4.44/3.20 tff(1630,plain,
% 4.44/3.20 (~always3(s21)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1242, 1625])).
% 4.44/3.20 tff(1631,plain,
% 4.44/3.20 (~node4(s21)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1506, 35, 1630])).
% 4.44/3.20 tff(1632,plain,
% 4.44/3.20 (xuntil6(s21) | (~until5(s21))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1513, 155, 1631])).
% 4.44/3.20 tff(1633,plain,
% 4.44/3.20 (~until5(s21)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1632, 1629])).
% 4.44/3.20 tff(1634,plain,
% 4.44/3.20 (~xuntil6(s20)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1502, 1633])).
% 4.44/3.20 tff(1635,plain,
% 4.44/3.20 (~always3(s20)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1254, 1630])).
% 4.44/3.20 tff(1636,plain,
% 4.44/3.20 (~always3(s19)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1266, 1635])).
% 4.44/3.20 tff(1637,plain,
% 4.44/3.20 (~always3(s18)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1278, 1636])).
% 4.44/3.20 tff(1638,plain,
% 4.44/3.20 (~always3(s17)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1290, 1637])).
% 4.44/3.20 tff(1639,plain,
% 4.44/3.20 (~always3(s16)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1302, 1638])).
% 4.44/3.20 tff(1640,plain,
% 4.44/3.20 (~always3(s15)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1314, 1639])).
% 4.44/3.20 tff(1641,plain,
% 4.44/3.20 (~always3(s14)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1326, 1640])).
% 4.44/3.20 tff(1642,plain,
% 4.44/3.20 (~always3(s13)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1338, 1641])).
% 4.44/3.20 tff(1643,plain,
% 4.44/3.20 (~node4(s13)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1342, 35, 1642])).
% 4.44/3.20 tff(1644,plain,
% 4.44/3.20 (~always3(s12)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1354, 1642])).
% 4.44/3.20 tff(1645,plain,
% 4.44/3.20 (~node4(s12)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1358, 35, 1644])).
% 4.44/3.20 tff(1646,plain,
% 4.44/3.20 (xuntil6(s12)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1366, 1645])).
% 4.44/3.20 tff(1647,plain,
% 4.44/3.20 (until5(s13)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1371, 1646])).
% 4.44/3.20 tff(1648,plain,
% 4.44/3.20 (xuntil6(s13)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1378, 155, 1647, 1643])).
% 4.44/3.20 tff(1649,plain,
% 4.44/3.20 (until5(s14)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1383, 1648])).
% 4.44/3.20 tff(1650,plain,
% 4.44/3.20 (~node4(s14)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1387, 35, 1641])).
% 4.44/3.20 tff(1651,plain,
% 4.44/3.20 (xuntil6(s14) | (~until5(s14))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1394, 155, 1650])).
% 4.44/3.20 tff(1652,plain,
% 4.44/3.20 (xuntil6(s14)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1651, 1649])).
% 4.44/3.20 tff(1653,plain,
% 4.44/3.20 (until5(s15)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1400, 1652])).
% 4.44/3.20 tff(1654,plain,
% 4.44/3.20 (~node4(s15)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1404, 35, 1640])).
% 4.44/3.20 tff(1655,plain,
% 4.44/3.20 (xuntil6(s15) | (~until5(s15))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1411, 155, 1654])).
% 4.44/3.20 tff(1656,plain,
% 4.44/3.20 (xuntil6(s15)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1655, 1653])).
% 4.44/3.20 tff(1657,plain,
% 4.44/3.20 (until5(s16)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1417, 1656])).
% 4.44/3.20 tff(1658,plain,
% 4.44/3.20 (~node4(s16)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1421, 35, 1639])).
% 4.44/3.20 tff(1659,plain,
% 4.44/3.20 (xuntil6(s16) | (~until5(s16))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1428, 155, 1658])).
% 4.44/3.20 tff(1660,plain,
% 4.44/3.20 (xuntil6(s16)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1659, 1657])).
% 4.44/3.20 tff(1661,plain,
% 4.44/3.20 (until5(s17)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1434, 1660])).
% 4.44/3.20 tff(1662,plain,
% 4.44/3.20 (~node4(s17)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1438, 35, 1638])).
% 4.44/3.20 tff(1663,plain,
% 4.44/3.20 (xuntil6(s17) | (~until5(s17))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1445, 155, 1662])).
% 4.44/3.20 tff(1664,plain,
% 4.44/3.20 (xuntil6(s17)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1663, 1661])).
% 4.44/3.20 tff(1665,plain,
% 4.44/3.20 (until5(s18)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1451, 1664])).
% 4.44/3.20 tff(1666,plain,
% 4.44/3.20 (~node4(s18)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1455, 35, 1637])).
% 4.44/3.20 tff(1667,plain,
% 4.44/3.20 (xuntil6(s18) | (~until5(s18))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1462, 155, 1666])).
% 4.44/3.20 tff(1668,plain,
% 4.44/3.20 (xuntil6(s18)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1667, 1665])).
% 4.44/3.20 tff(1669,plain,
% 4.44/3.20 (until5(s19)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1468, 1668])).
% 4.44/3.20 tff(1670,plain,
% 4.44/3.20 (~node4(s19)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1472, 35, 1636])).
% 4.44/3.20 tff(1671,plain,
% 4.44/3.20 (xuntil6(s19) | (~until5(s19))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1479, 155, 1670])).
% 4.44/3.20 tff(1672,plain,
% 4.44/3.20 (xuntil6(s19)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1671, 1669])).
% 4.44/3.20 tff(1673,plain,
% 4.44/3.20 (until5(s20)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1485, 1672])).
% 4.44/3.20 tff(1674,plain,
% 4.44/3.20 (~node4(s20)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1489, 35, 1635])).
% 4.44/3.20 tff(1675,plain,
% 4.44/3.20 (xuntil6(s20) | (~until5(s20))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1496, 155, 1674])).
% 4.44/3.20 tff(1676,plain,
% 4.44/3.20 ($false),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1675, 1673, 1634])).
% 4.44/3.20 tff(1677,plain,(always3(s28) | (~until5(s12)) | xuntil6(s28)), inference(lemma,lemma(discharge,[]))).
% 4.44/3.20 tff(1678,plain,
% 4.44/3.20 (always3(s28)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1677, 982, 1594])).
% 4.44/3.20 tff(1679,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1680,plain,
% 4.44/3.20 (((~m_main_v_state(s28, c_busy)) | (~always3(s28))) <=> ((~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1681,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s28)) | (~m_main_v_state(s28, c_busy))))),
% 4.44/3.20 inference(monotonicity,[status(thm)],[1680])).
% 4.44/3.20 tff(1682,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy)))),
% 4.44/3.20 inference(transitivity,[status(thm)],[1681, 1679])).
% 4.44/3.20 tff(1683,plain,
% 4.44/3.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s28, c_busy)) | (~always3(s28)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1684,plain,
% 4.44/3.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s28)) | (~m_main_v_state(s28, c_busy))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1683, 1682])).
% 4.44/3.20 tff(1685,plain,
% 4.44/3.20 (~m_main_v_state(s28, c_busy)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1684, 75, 1678])).
% 4.44/3.20 tff(1686,assumption,(~m_main_v_state(s28, c_busy)), introduced(assumption)).
% 4.44/3.20 tff(1687,assumption,(node4(s27)), introduced(assumption)).
% 4.44/3.20 tff(1688,plain,
% 4.44/3.20 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1689,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s27) | (~node4(s27)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1690,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s27) | (~node4(s27))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 4.44/3.20 tff(1691,plain,
% 4.44/3.20 (m_main_v_request(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1690, 17, 1687])).
% 4.44/3.20 tff(1692,plain,
% 4.44/3.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1693,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s27, s28)) | node2(s27, s28))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1694,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s27, s28)) | node2(s27, s28)),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1693, 1692])).
% 4.44/3.20 tff(1695,plain,
% 4.44/3.20 (node2(s27, s28)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1694, 7, 1064])).
% 4.44/3.20 tff(1696,plain,
% 4.44/3.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1697,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1698,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s27, c_ready)) | (~node2(s27, s28)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1697, 1696])).
% 4.44/3.20 tff(1699,plain,
% 4.44/3.20 ((~m_main_v_state(s27, c_ready)) | m_main_v_state(s28, c_busy) | (~m_main_v_request(s27))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1698, 96, 1695])).
% 4.44/3.20 tff(1700,plain,
% 4.44/3.20 (~m_main_v_state(s27, c_ready)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1699, 1691, 1686])).
% 4.44/3.20 tff(1701,plain,
% 4.44/3.20 (always3(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1072, 35, 1687])).
% 4.44/3.20 tff(1702,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1703,plain,
% 4.44/3.20 (((~m_main_v_state(s27, c_busy)) | (~always3(s27))) <=> ((~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1704,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s27)) | (~m_main_v_state(s27, c_busy))))),
% 4.44/3.20 inference(monotonicity,[status(thm)],[1703])).
% 4.44/3.20 tff(1705,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy)))),
% 4.44/3.20 inference(transitivity,[status(thm)],[1704, 1702])).
% 4.44/3.20 tff(1706,plain,
% 4.44/3.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s27, c_busy)) | (~always3(s27)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1707,plain,
% 4.44/3.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s27)) | (~m_main_v_state(s27, c_busy))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1706, 1705])).
% 4.44/3.20 tff(1708,plain,
% 4.44/3.20 (~m_main_v_state(s27, c_busy)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1707, 75, 1701])).
% 4.44/3.20 tff(1709,plain,
% 4.44/3.20 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1710,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1711,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s27, c_busy) | m_main_v_state(s27, c_ready)),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1710, 1709])).
% 4.44/3.20 tff(1712,plain,
% 4.44/3.20 ($false),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1711, 118, 1708, 1700])).
% 4.44/3.20 tff(1713,plain,((~node4(s27)) | m_main_v_state(s28, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.44/3.20 tff(1714,plain,
% 4.44/3.20 (~node4(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1713, 1685])).
% 4.44/3.20 tff(1715,plain,
% 4.44/3.20 (always3(s29)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1039, 1678])).
% 4.44/3.20 tff(1716,plain,
% 4.44/3.20 (~m_main_v_state(s29, c_busy)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1546, 75, 1715])).
% 4.44/3.20 tff(1717,plain,
% 4.44/3.20 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1718,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1719,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s28, c_busy) | m_main_v_state(s28, c_ready)),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1718, 1717])).
% 4.44/3.20 tff(1720,plain,
% 4.44/3.20 (m_main_v_state(s28, c_ready)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1719, 118, 1685])).
% 4.44/3.20 tff(1721,plain,
% 4.44/3.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1722,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s28, s29)) | node2(s28, s29))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1723,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s28, s29)) | node2(s28, s29)),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1722, 1721])).
% 4.44/3.20 tff(1724,plain,
% 4.44/3.20 (node2(s28, s29)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1723, 7, 1035])).
% 4.44/3.20 tff(1725,plain,
% 4.44/3.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1726,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1727,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s28, c_ready)) | (~node2(s28, s29)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1726, 1725])).
% 4.44/3.20 tff(1728,plain,
% 4.44/3.20 ((~m_main_v_state(s28, c_ready)) | m_main_v_state(s29, c_busy) | (~m_main_v_request(s28))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1727, 96, 1724])).
% 4.44/3.20 tff(1729,plain,
% 4.44/3.20 (~m_main_v_request(s28)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1728, 1720, 1716])).
% 4.44/3.20 tff(1730,plain,
% 4.44/3.20 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1731,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s28) | (~node4(s28)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1732,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s28) | (~node4(s28))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 4.44/3.20 tff(1733,plain,
% 4.44/3.20 (~node4(s28)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1732, 17, 1729])).
% 4.44/3.20 tff(1734,plain,
% 4.44/3.20 (node4(s28) | (~until5(s28))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1050, 155, 1594])).
% 4.44/3.20 tff(1735,plain,
% 4.44/3.20 (~until5(s28)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1734, 1733])).
% 4.44/3.20 tff(1736,plain,
% 4.44/3.20 (~xuntil6(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1059, 1735])).
% 4.44/3.20 tff(1737,plain,
% 4.44/3.20 (node4(s27) | (~until5(s27))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1079, 155, 1736])).
% 4.44/3.20 tff(1738,plain,
% 4.44/3.20 (~until5(s27)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1737, 1714])).
% 4.44/3.20 tff(1739,plain,
% 4.44/3.20 (~xuntil6(s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1088, 1738])).
% 4.44/3.20 tff(1740,assumption,(~always3(s26)), introduced(assumption)).
% 4.44/3.20 tff(1741,plain,
% 4.44/3.20 (~always3(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1126, 1740])).
% 4.44/3.20 tff(1742,plain,
% 4.44/3.20 (~node4(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1130, 35, 1741])).
% 4.44/3.20 tff(1743,plain,
% 4.44/3.20 (~node4(s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1101, 35, 1740])).
% 4.44/3.20 tff(1744,assumption,(~xuntil6(s26)), introduced(assumption)).
% 4.44/3.20 tff(1745,plain,
% 4.44/3.20 (node4(s26) | (~until5(s26))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1108, 155, 1744])).
% 4.44/3.20 tff(1746,plain,
% 4.44/3.20 (~until5(s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1745, 1743])).
% 4.44/3.20 tff(1747,plain,
% 4.44/3.20 (~xuntil6(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1117, 1746])).
% 4.44/3.20 tff(1748,plain,
% 4.44/3.20 (~until5(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1137, 155, 1747, 1742])).
% 4.44/3.20 tff(1749,plain,
% 4.44/3.20 (~xuntil6(s24)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1146, 1748])).
% 4.44/3.20 tff(1750,plain,
% 4.44/3.20 (~always3(s24)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1155, 1741])).
% 4.44/3.20 tff(1751,plain,
% 4.44/3.20 (~node4(s24)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1159, 35, 1750])).
% 4.44/3.20 tff(1752,plain,
% 4.44/3.20 (xuntil6(s24) | (~until5(s24))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1166, 155, 1751])).
% 4.44/3.20 tff(1753,plain,
% 4.44/3.20 (~until5(s24)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1752, 1749])).
% 4.44/3.20 tff(1754,plain,
% 4.44/3.20 (~xuntil6(s23)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1175, 1753])).
% 4.44/3.20 tff(1755,plain,
% 4.44/3.20 (~always3(s23)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1184, 1750])).
% 4.44/3.20 tff(1756,plain,
% 4.44/3.20 (~node4(s23)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1188, 35, 1755])).
% 4.44/3.20 tff(1757,plain,
% 4.44/3.20 (xuntil6(s23) | (~until5(s23))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1195, 155, 1756])).
% 4.44/3.20 tff(1758,plain,
% 4.44/3.20 (~until5(s23)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1757, 1754])).
% 4.44/3.20 tff(1759,plain,
% 4.44/3.20 (~xuntil6(s22)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1204, 1758])).
% 4.44/3.20 tff(1760,plain,
% 4.44/3.20 (~always3(s22)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1213, 1755])).
% 4.44/3.20 tff(1761,plain,
% 4.44/3.20 (~node4(s22)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1217, 35, 1760])).
% 4.44/3.20 tff(1762,plain,
% 4.44/3.20 (xuntil6(s22) | (~until5(s22))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1224, 155, 1761])).
% 4.44/3.20 tff(1763,plain,
% 4.44/3.20 (~until5(s22)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1762, 1759])).
% 4.44/3.20 tff(1764,plain,
% 4.44/3.20 (~xuntil6(s21)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1233, 1763])).
% 4.44/3.20 tff(1765,plain,
% 4.44/3.20 (~always3(s21)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1242, 1760])).
% 4.44/3.20 tff(1766,plain,
% 4.44/3.20 (~node4(s21)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1506, 35, 1765])).
% 4.44/3.20 tff(1767,plain,
% 4.44/3.20 (xuntil6(s21) | (~until5(s21))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1513, 155, 1766])).
% 4.44/3.20 tff(1768,plain,
% 4.44/3.20 (~until5(s21)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1767, 1764])).
% 4.44/3.20 tff(1769,plain,
% 4.44/3.20 (~xuntil6(s20)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1502, 1768])).
% 4.44/3.20 tff(1770,plain,
% 4.44/3.20 (~always3(s20)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1254, 1765])).
% 4.44/3.20 tff(1771,plain,
% 4.44/3.20 (~node4(s20)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1489, 35, 1770])).
% 4.44/3.20 tff(1772,plain,
% 4.44/3.20 (xuntil6(s20) | (~until5(s20))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1496, 155, 1771])).
% 4.44/3.20 tff(1773,plain,
% 4.44/3.20 (~until5(s20)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1772, 1769])).
% 4.44/3.20 tff(1774,plain,
% 4.44/3.20 (~xuntil6(s19)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1485, 1773])).
% 4.44/3.20 tff(1775,plain,
% 4.44/3.20 (~always3(s19)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1266, 1770])).
% 4.44/3.20 tff(1776,plain,
% 4.44/3.20 (~always3(s18)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1278, 1775])).
% 4.44/3.20 tff(1777,plain,
% 4.44/3.20 (~always3(s17)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1290, 1776])).
% 4.44/3.20 tff(1778,plain,
% 4.44/3.20 (~always3(s16)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1302, 1777])).
% 4.44/3.20 tff(1779,plain,
% 4.44/3.20 (~always3(s15)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1314, 1778])).
% 4.44/3.20 tff(1780,plain,
% 4.44/3.20 (~always3(s14)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1326, 1779])).
% 4.44/3.20 tff(1781,plain,
% 4.44/3.20 (~always3(s13)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1338, 1780])).
% 4.44/3.20 tff(1782,plain,
% 4.44/3.20 (~node4(s13)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1342, 35, 1781])).
% 4.44/3.20 tff(1783,plain,
% 4.44/3.20 (~always3(s12)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1354, 1781])).
% 4.44/3.20 tff(1784,plain,
% 4.44/3.20 (~node4(s12)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1358, 35, 1783])).
% 4.44/3.20 tff(1785,plain,
% 4.44/3.20 (xuntil6(s12)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1366, 1784])).
% 4.44/3.20 tff(1786,plain,
% 4.44/3.20 (until5(s13)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1371, 1785])).
% 4.44/3.20 tff(1787,plain,
% 4.44/3.20 (xuntil6(s13)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1378, 155, 1786, 1782])).
% 4.44/3.20 tff(1788,plain,
% 4.44/3.20 (until5(s14)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1383, 1787])).
% 4.44/3.20 tff(1789,plain,
% 4.44/3.20 (~node4(s14)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1387, 35, 1780])).
% 4.44/3.20 tff(1790,plain,
% 4.44/3.20 (xuntil6(s14) | (~until5(s14))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1394, 155, 1789])).
% 4.44/3.20 tff(1791,plain,
% 4.44/3.20 (xuntil6(s14)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1790, 1788])).
% 4.44/3.20 tff(1792,plain,
% 4.44/3.20 (until5(s15)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1400, 1791])).
% 4.44/3.20 tff(1793,plain,
% 4.44/3.20 (~node4(s15)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1404, 35, 1779])).
% 4.44/3.20 tff(1794,plain,
% 4.44/3.20 (xuntil6(s15) | (~until5(s15))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1411, 155, 1793])).
% 4.44/3.20 tff(1795,plain,
% 4.44/3.20 (xuntil6(s15)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1794, 1792])).
% 4.44/3.20 tff(1796,plain,
% 4.44/3.20 (until5(s16)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1417, 1795])).
% 4.44/3.20 tff(1797,plain,
% 4.44/3.20 (~node4(s16)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1421, 35, 1778])).
% 4.44/3.20 tff(1798,plain,
% 4.44/3.20 (xuntil6(s16) | (~until5(s16))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1428, 155, 1797])).
% 4.44/3.20 tff(1799,plain,
% 4.44/3.20 (xuntil6(s16)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1798, 1796])).
% 4.44/3.20 tff(1800,plain,
% 4.44/3.20 (until5(s17)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1434, 1799])).
% 4.44/3.20 tff(1801,plain,
% 4.44/3.20 (~node4(s17)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1438, 35, 1777])).
% 4.44/3.20 tff(1802,plain,
% 4.44/3.20 (xuntil6(s17) | (~until5(s17))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1445, 155, 1801])).
% 4.44/3.20 tff(1803,plain,
% 4.44/3.20 (xuntil6(s17)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1802, 1800])).
% 4.44/3.20 tff(1804,plain,
% 4.44/3.20 (until5(s18)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1451, 1803])).
% 4.44/3.20 tff(1805,plain,
% 4.44/3.20 (~node4(s18)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1455, 35, 1776])).
% 4.44/3.20 tff(1806,plain,
% 4.44/3.20 (xuntil6(s18) | (~until5(s18))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1462, 155, 1805])).
% 4.44/3.20 tff(1807,plain,
% 4.44/3.20 (xuntil6(s18)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1806, 1804])).
% 4.44/3.20 tff(1808,plain,
% 4.44/3.20 (until5(s19)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1468, 1807])).
% 4.44/3.20 tff(1809,plain,
% 4.44/3.20 (~node4(s19)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1472, 35, 1775])).
% 4.44/3.20 tff(1810,plain,
% 4.44/3.20 (xuntil6(s19) | (~until5(s19))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1479, 155, 1809])).
% 4.44/3.20 tff(1811,plain,
% 4.44/3.20 ($false),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1810, 1808, 1774])).
% 4.44/3.20 tff(1812,plain,(always3(s26) | (~until5(s12)) | xuntil6(s26)), inference(lemma,lemma(discharge,[]))).
% 4.44/3.20 tff(1813,plain,
% 4.44/3.20 (always3(s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1812, 982, 1739])).
% 4.44/3.20 tff(1814,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1815,plain,
% 4.44/3.20 (((~m_main_v_state(s26, c_busy)) | (~always3(s26))) <=> ((~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1816,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s26)) | (~m_main_v_state(s26, c_busy))))),
% 4.44/3.20 inference(monotonicity,[status(thm)],[1815])).
% 4.44/3.20 tff(1817,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy)))),
% 4.44/3.20 inference(transitivity,[status(thm)],[1816, 1814])).
% 4.44/3.20 tff(1818,plain,
% 4.44/3.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s26, c_busy)) | (~always3(s26)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1819,plain,
% 4.44/3.20 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s26)) | (~m_main_v_state(s26, c_busy))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 4.44/3.20 tff(1820,plain,
% 4.44/3.20 (~m_main_v_state(s26, c_busy)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1819, 75, 1813])).
% 4.44/3.20 tff(1821,assumption,(~m_main_v_state(s26, c_busy)), introduced(assumption)).
% 4.44/3.20 tff(1822,assumption,(node4(s25)), introduced(assumption)).
% 4.44/3.20 tff(1823,plain,
% 4.44/3.20 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1824,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s25) | (~node4(s25)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1825,plain,
% 4.44/3.20 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s25) | (~node4(s25))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1824, 1823])).
% 4.44/3.20 tff(1826,plain,
% 4.44/3.20 (m_main_v_request(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1825, 17, 1822])).
% 4.44/3.20 tff(1827,plain,
% 4.44/3.20 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1828,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s25, s26)) | node2(s25, s26))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1829,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s25, s26)) | node2(s25, s26)),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 4.44/3.20 tff(1830,plain,
% 4.44/3.20 (node2(s25, s26)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1829, 7, 1122])).
% 4.44/3.20 tff(1831,plain,
% 4.44/3.20 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1832,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25)))),
% 4.44/3.20 inference(quant_inst,[status(thm)],[])).
% 4.44/3.20 tff(1833,plain,
% 4.44/3.20 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s25, c_ready)) | (~node2(s25, s26)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 4.44/3.20 inference(modus_ponens,[status(thm)],[1832, 1831])).
% 4.44/3.20 tff(1834,plain,
% 4.44/3.20 ((~m_main_v_state(s25, c_ready)) | m_main_v_state(s26, c_busy) | (~m_main_v_request(s25))),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1833, 96, 1830])).
% 4.44/3.20 tff(1835,plain,
% 4.44/3.20 (~m_main_v_state(s25, c_ready)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1834, 1826, 1821])).
% 4.44/3.20 tff(1836,plain,
% 4.44/3.20 (always3(s25)),
% 4.44/3.20 inference(unit_resolution,[status(thm)],[1130, 35, 1822])).
% 4.44/3.20 tff(1837,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1838,plain,
% 4.44/3.20 (((~m_main_v_state(s25, c_busy)) | (~always3(s25))) <=> ((~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 4.44/3.20 inference(rewrite,[status(thm)],[])).
% 4.44/3.20 tff(1839,plain,
% 4.44/3.20 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s25)) | (~m_main_v_state(s25, c_busy))))),
% 4.44/3.21 inference(monotonicity,[status(thm)],[1838])).
% 4.44/3.21 tff(1840,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy)))),
% 4.44/3.21 inference(transitivity,[status(thm)],[1839, 1837])).
% 4.44/3.21 tff(1841,plain,
% 4.44/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s25, c_busy)) | (~always3(s25)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1842,plain,
% 4.44/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s25)) | (~m_main_v_state(s25, c_busy))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 4.44/3.21 tff(1843,plain,
% 4.44/3.21 (~m_main_v_state(s25, c_busy)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1842, 75, 1836])).
% 4.44/3.21 tff(1844,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1845,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1846,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s25, c_busy) | m_main_v_state(s25, c_ready)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 4.44/3.21 tff(1847,plain,
% 4.44/3.21 ($false),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1846, 118, 1843, 1835])).
% 4.44/3.21 tff(1848,plain,((~node4(s25)) | m_main_v_state(s26, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.44/3.21 tff(1849,plain,
% 4.44/3.21 (~node4(s25)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1848, 1820])).
% 4.44/3.21 tff(1850,plain,
% 4.44/3.21 (always3(s27)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1097, 1813])).
% 4.44/3.21 tff(1851,plain,
% 4.44/3.21 (~m_main_v_state(s27, c_busy)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1707, 75, 1850])).
% 4.44/3.21 tff(1852,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1853,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1854,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s26, c_busy) | m_main_v_state(s26, c_ready)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1853, 1852])).
% 4.44/3.21 tff(1855,plain,
% 4.44/3.21 (m_main_v_state(s26, c_ready)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1854, 118, 1820])).
% 4.44/3.21 tff(1856,plain,
% 4.44/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1857,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s26, s27)) | node2(s26, s27))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1858,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s26, s27)) | node2(s26, s27)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1857, 1856])).
% 4.44/3.21 tff(1859,plain,
% 4.44/3.21 (node2(s26, s27)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1858, 7, 1093])).
% 4.44/3.21 tff(1860,plain,
% 4.44/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1861,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1862,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s26, c_ready)) | (~node2(s26, s27)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 4.44/3.21 tff(1863,plain,
% 4.44/3.21 ((~m_main_v_state(s26, c_ready)) | m_main_v_state(s27, c_busy) | (~m_main_v_request(s26))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1862, 96, 1859])).
% 4.44/3.21 tff(1864,plain,
% 4.44/3.21 (~m_main_v_request(s26)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1863, 1855, 1851])).
% 4.44/3.21 tff(1865,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1866,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s26) | (~node4(s26)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1867,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s26) | (~node4(s26))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1866, 1865])).
% 4.44/3.21 tff(1868,plain,
% 4.44/3.21 (~node4(s26)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1867, 17, 1864])).
% 4.44/3.21 tff(1869,plain,
% 4.44/3.21 (node4(s26) | (~until5(s26))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1108, 155, 1739])).
% 4.44/3.21 tff(1870,plain,
% 4.44/3.21 (~until5(s26)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1869, 1868])).
% 4.44/3.21 tff(1871,plain,
% 4.44/3.21 (~xuntil6(s25)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1117, 1870])).
% 4.44/3.21 tff(1872,plain,
% 4.44/3.21 (node4(s25) | (~until5(s25))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1137, 155, 1871])).
% 4.44/3.21 tff(1873,plain,
% 4.44/3.21 (~until5(s25)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1872, 1849])).
% 4.44/3.21 tff(1874,plain,
% 4.44/3.21 (~xuntil6(s24)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1146, 1873])).
% 4.44/3.21 tff(1875,assumption,(~always3(s24)), introduced(assumption)).
% 4.44/3.21 tff(1876,plain,
% 4.44/3.21 (~always3(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1184, 1875])).
% 4.44/3.21 tff(1877,plain,
% 4.44/3.21 (~node4(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1188, 35, 1876])).
% 4.44/3.21 tff(1878,plain,
% 4.44/3.21 (~node4(s24)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1159, 35, 1875])).
% 4.44/3.21 tff(1879,assumption,(~xuntil6(s24)), introduced(assumption)).
% 4.44/3.21 tff(1880,plain,
% 4.44/3.21 (node4(s24) | (~until5(s24))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1166, 155, 1879])).
% 4.44/3.21 tff(1881,plain,
% 4.44/3.21 (~until5(s24)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1880, 1878])).
% 4.44/3.21 tff(1882,plain,
% 4.44/3.21 (~xuntil6(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1175, 1881])).
% 4.44/3.21 tff(1883,plain,
% 4.44/3.21 (~until5(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1195, 155, 1882, 1877])).
% 4.44/3.21 tff(1884,plain,
% 4.44/3.21 (~xuntil6(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1204, 1883])).
% 4.44/3.21 tff(1885,plain,
% 4.44/3.21 (~always3(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1213, 1876])).
% 4.44/3.21 tff(1886,plain,
% 4.44/3.21 (~node4(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1217, 35, 1885])).
% 4.44/3.21 tff(1887,plain,
% 4.44/3.21 (xuntil6(s22) | (~until5(s22))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1224, 155, 1886])).
% 4.44/3.21 tff(1888,plain,
% 4.44/3.21 (~until5(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1887, 1884])).
% 4.44/3.21 tff(1889,plain,
% 4.44/3.21 (~xuntil6(s21)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1233, 1888])).
% 4.44/3.21 tff(1890,plain,
% 4.44/3.21 (~always3(s21)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1242, 1885])).
% 4.44/3.21 tff(1891,plain,
% 4.44/3.21 (~node4(s21)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1506, 35, 1890])).
% 4.44/3.21 tff(1892,plain,
% 4.44/3.21 (xuntil6(s21) | (~until5(s21))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1513, 155, 1891])).
% 4.44/3.21 tff(1893,plain,
% 4.44/3.21 (~until5(s21)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1892, 1889])).
% 4.44/3.21 tff(1894,plain,
% 4.44/3.21 (~xuntil6(s20)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1502, 1893])).
% 4.44/3.21 tff(1895,plain,
% 4.44/3.21 (~always3(s20)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1254, 1890])).
% 4.44/3.21 tff(1896,plain,
% 4.44/3.21 (~node4(s20)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1489, 35, 1895])).
% 4.44/3.21 tff(1897,plain,
% 4.44/3.21 (xuntil6(s20) | (~until5(s20))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1496, 155, 1896])).
% 4.44/3.21 tff(1898,plain,
% 4.44/3.21 (~until5(s20)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1897, 1894])).
% 4.44/3.21 tff(1899,plain,
% 4.44/3.21 (~xuntil6(s19)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1485, 1898])).
% 4.44/3.21 tff(1900,plain,
% 4.44/3.21 (~always3(s19)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1266, 1895])).
% 4.44/3.21 tff(1901,plain,
% 4.44/3.21 (~node4(s19)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1472, 35, 1900])).
% 4.44/3.21 tff(1902,plain,
% 4.44/3.21 (xuntil6(s19) | (~until5(s19))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1479, 155, 1901])).
% 4.44/3.21 tff(1903,plain,
% 4.44/3.21 (~until5(s19)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1902, 1899])).
% 4.44/3.21 tff(1904,plain,
% 4.44/3.21 (~xuntil6(s18)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1468, 1903])).
% 4.44/3.21 tff(1905,plain,
% 4.44/3.21 (~always3(s18)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1278, 1900])).
% 4.44/3.21 tff(1906,plain,
% 4.44/3.21 (~always3(s17)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1290, 1905])).
% 4.44/3.21 tff(1907,plain,
% 4.44/3.21 (~always3(s16)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1302, 1906])).
% 4.44/3.21 tff(1908,plain,
% 4.44/3.21 (~always3(s15)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1314, 1907])).
% 4.44/3.21 tff(1909,plain,
% 4.44/3.21 (~always3(s14)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1326, 1908])).
% 4.44/3.21 tff(1910,plain,
% 4.44/3.21 (~always3(s13)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1338, 1909])).
% 4.44/3.21 tff(1911,plain,
% 4.44/3.21 (~node4(s13)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1342, 35, 1910])).
% 4.44/3.21 tff(1912,plain,
% 4.44/3.21 (~always3(s12)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1354, 1910])).
% 4.44/3.21 tff(1913,plain,
% 4.44/3.21 (~node4(s12)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1358, 35, 1912])).
% 4.44/3.21 tff(1914,plain,
% 4.44/3.21 (xuntil6(s12)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1366, 1913])).
% 4.44/3.21 tff(1915,plain,
% 4.44/3.21 (until5(s13)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1371, 1914])).
% 4.44/3.21 tff(1916,plain,
% 4.44/3.21 (xuntil6(s13)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1378, 155, 1915, 1911])).
% 4.44/3.21 tff(1917,plain,
% 4.44/3.21 (until5(s14)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1383, 1916])).
% 4.44/3.21 tff(1918,plain,
% 4.44/3.21 (~node4(s14)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1387, 35, 1909])).
% 4.44/3.21 tff(1919,plain,
% 4.44/3.21 (xuntil6(s14) | (~until5(s14))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1394, 155, 1918])).
% 4.44/3.21 tff(1920,plain,
% 4.44/3.21 (xuntil6(s14)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1919, 1917])).
% 4.44/3.21 tff(1921,plain,
% 4.44/3.21 (until5(s15)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1400, 1920])).
% 4.44/3.21 tff(1922,plain,
% 4.44/3.21 (~node4(s15)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1404, 35, 1908])).
% 4.44/3.21 tff(1923,plain,
% 4.44/3.21 (xuntil6(s15) | (~until5(s15))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1411, 155, 1922])).
% 4.44/3.21 tff(1924,plain,
% 4.44/3.21 (xuntil6(s15)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1923, 1921])).
% 4.44/3.21 tff(1925,plain,
% 4.44/3.21 (until5(s16)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1417, 1924])).
% 4.44/3.21 tff(1926,plain,
% 4.44/3.21 (~node4(s16)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1421, 35, 1907])).
% 4.44/3.21 tff(1927,plain,
% 4.44/3.21 (xuntil6(s16) | (~until5(s16))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1428, 155, 1926])).
% 4.44/3.21 tff(1928,plain,
% 4.44/3.21 (xuntil6(s16)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1927, 1925])).
% 4.44/3.21 tff(1929,plain,
% 4.44/3.21 (until5(s17)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1434, 1928])).
% 4.44/3.21 tff(1930,plain,
% 4.44/3.21 (~node4(s17)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1438, 35, 1906])).
% 4.44/3.21 tff(1931,plain,
% 4.44/3.21 (xuntil6(s17) | (~until5(s17))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1445, 155, 1930])).
% 4.44/3.21 tff(1932,plain,
% 4.44/3.21 (xuntil6(s17)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1931, 1929])).
% 4.44/3.21 tff(1933,plain,
% 4.44/3.21 (until5(s18)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1451, 1932])).
% 4.44/3.21 tff(1934,plain,
% 4.44/3.21 (~node4(s18)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1455, 35, 1905])).
% 4.44/3.21 tff(1935,plain,
% 4.44/3.21 (xuntil6(s18) | (~until5(s18))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1462, 155, 1934])).
% 4.44/3.21 tff(1936,plain,
% 4.44/3.21 ($false),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1935, 1933, 1904])).
% 4.44/3.21 tff(1937,plain,(always3(s24) | (~until5(s12)) | xuntil6(s24)), inference(lemma,lemma(discharge,[]))).
% 4.44/3.21 tff(1938,plain,
% 4.44/3.21 (always3(s24)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1937, 982, 1874])).
% 4.44/3.21 tff(1939,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1940,plain,
% 4.44/3.21 (((~m_main_v_state(s24, c_busy)) | (~always3(s24))) <=> ((~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1941,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s24)) | (~m_main_v_state(s24, c_busy))))),
% 4.44/3.21 inference(monotonicity,[status(thm)],[1940])).
% 4.44/3.21 tff(1942,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy)))),
% 4.44/3.21 inference(transitivity,[status(thm)],[1941, 1939])).
% 4.44/3.21 tff(1943,plain,
% 4.44/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s24, c_busy)) | (~always3(s24)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1944,plain,
% 4.44/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s24)) | (~m_main_v_state(s24, c_busy))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1943, 1942])).
% 4.44/3.21 tff(1945,plain,
% 4.44/3.21 (~m_main_v_state(s24, c_busy)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1944, 75, 1938])).
% 4.44/3.21 tff(1946,plain,
% 4.44/3.21 (always3(s25)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1155, 1938])).
% 4.44/3.21 tff(1947,plain,
% 4.44/3.21 (~m_main_v_state(s25, c_busy)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1842, 75, 1946])).
% 4.44/3.21 tff(1948,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1949,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1950,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s24, c_busy) | m_main_v_state(s24, c_ready)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1949, 1948])).
% 4.44/3.21 tff(1951,plain,
% 4.44/3.21 (m_main_v_state(s24, c_ready)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1950, 118, 1945])).
% 4.44/3.21 tff(1952,plain,
% 4.44/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1953,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s24, s25)) | node2(s24, s25))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1954,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s24, s25)) | node2(s24, s25)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 4.44/3.21 tff(1955,plain,
% 4.44/3.21 (node2(s24, s25)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1954, 7, 1151])).
% 4.44/3.21 tff(1956,plain,
% 4.44/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1957,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1958,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s24, c_ready)) | (~node2(s24, s25)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1957, 1956])).
% 4.44/3.21 tff(1959,plain,
% 4.44/3.21 ((~m_main_v_state(s24, c_ready)) | m_main_v_state(s25, c_busy) | (~m_main_v_request(s24))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1958, 96, 1955])).
% 4.44/3.21 tff(1960,plain,
% 4.44/3.21 (~m_main_v_request(s24)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1959, 1951, 1947])).
% 4.44/3.21 tff(1961,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1962,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s24) | (~node4(s24)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1963,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s24) | (~node4(s24))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1962, 1961])).
% 4.44/3.21 tff(1964,plain,
% 4.44/3.21 (~node4(s24)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1963, 17, 1960])).
% 4.44/3.21 tff(1965,plain,
% 4.44/3.21 (node4(s24) | (~until5(s24))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1166, 155, 1874])).
% 4.44/3.21 tff(1966,plain,
% 4.44/3.21 (~until5(s24)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1965, 1964])).
% 4.44/3.21 tff(1967,plain,
% 4.44/3.21 (~xuntil6(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1175, 1966])).
% 4.44/3.21 tff(1968,assumption,(~xuntil6(s23)), introduced(assumption)).
% 4.44/3.21 tff(1969,assumption,(until5(s22)), introduced(assumption)).
% 4.44/3.21 tff(1970,assumption,(~always3(s23)), introduced(assumption)).
% 4.44/3.21 tff(1971,plain,
% 4.44/3.21 (~always3(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1213, 1970])).
% 4.44/3.21 tff(1972,plain,
% 4.44/3.21 (~node4(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1217, 35, 1971])).
% 4.44/3.21 tff(1973,plain,
% 4.44/3.21 (xuntil6(s22) | node4(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1224, 155, 1969])).
% 4.44/3.21 tff(1974,plain,
% 4.44/3.21 (xuntil6(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1973, 1972])).
% 4.44/3.21 tff(1975,plain,
% 4.44/3.21 (until5(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1204, 1974])).
% 4.44/3.21 tff(1976,plain,
% 4.44/3.21 (node4(s23) | (~until5(s23))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1195, 155, 1968])).
% 4.44/3.21 tff(1977,plain,
% 4.44/3.21 (node4(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1976, 1975])).
% 4.44/3.21 tff(1978,plain,
% 4.44/3.21 ($false),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1188, 35, 1970, 1977])).
% 4.44/3.21 tff(1979,plain,(always3(s23) | xuntil6(s23) | (~until5(s22))), inference(lemma,lemma(discharge,[]))).
% 4.44/3.21 tff(1980,plain,
% 4.44/3.21 (always3(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1979, 1969, 1968])).
% 4.44/3.21 tff(1981,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1982,plain,
% 4.44/3.21 (((~m_main_v_state(s23, c_busy)) | (~always3(s23))) <=> ((~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1983,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s23)) | (~m_main_v_state(s23, c_busy))))),
% 4.44/3.21 inference(monotonicity,[status(thm)],[1982])).
% 4.44/3.21 tff(1984,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy)))),
% 4.44/3.21 inference(transitivity,[status(thm)],[1983, 1981])).
% 4.44/3.21 tff(1985,plain,
% 4.44/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s23, c_busy)) | (~always3(s23)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1986,plain,
% 4.44/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s23)) | (~m_main_v_state(s23, c_busy))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 4.44/3.21 tff(1987,plain,
% 4.44/3.21 (~m_main_v_state(s23, c_busy)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1986, 75, 1980])).
% 4.44/3.21 tff(1988,assumption,(~m_main_v_state(s24, c_busy)), introduced(assumption)).
% 4.44/3.21 tff(1989,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1990,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1991,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s23, c_busy) | m_main_v_state(s23, c_ready)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 4.44/3.21 tff(1992,plain,
% 4.44/3.21 (m_main_v_state(s23, c_ready)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1991, 118, 1987])).
% 4.44/3.21 tff(1993,plain,
% 4.44/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1994,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s23, s24)) | node2(s23, s24))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1995,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s23, s24)) | node2(s23, s24)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 4.44/3.21 tff(1996,plain,
% 4.44/3.21 (node2(s23, s24)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1995, 7, 1180])).
% 4.44/3.21 tff(1997,plain,
% 4.44/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(1998,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(1999,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s23, c_ready)) | (~node2(s23, s24)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 4.44/3.21 tff(2000,plain,
% 4.44/3.21 ((~m_main_v_state(s23, c_ready)) | m_main_v_state(s24, c_busy) | (~m_main_v_request(s23))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1999, 96, 1996])).
% 4.44/3.21 tff(2001,plain,
% 4.44/3.21 (~m_main_v_request(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2000, 1992, 1988])).
% 4.44/3.21 tff(2002,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(2003,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s23) | (~node4(s23)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(2004,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s23) | (~node4(s23))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 4.44/3.21 tff(2005,plain,
% 4.44/3.21 (~node4(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2004, 17, 2001])).
% 4.44/3.21 tff(2006,plain,
% 4.44/3.21 (~until5(s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1976, 2005])).
% 4.44/3.21 tff(2007,plain,
% 4.44/3.21 (~xuntil6(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1204, 2006])).
% 4.44/3.21 tff(2008,plain,
% 4.44/3.21 (node4(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1973, 2007])).
% 4.44/3.21 tff(2009,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(2010,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s22) | (~node4(s22)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(2011,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s22) | (~node4(s22))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 4.44/3.21 tff(2012,plain,
% 4.44/3.21 (m_main_v_request(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2011, 17, 2008])).
% 4.44/3.21 tff(2013,plain,
% 4.44/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(2014,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s22, s23)) | node2(s22, s23))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(2015,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s22, s23)) | node2(s22, s23)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 4.44/3.21 tff(2016,plain,
% 4.44/3.21 (node2(s22, s23)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2015, 7, 1209])).
% 4.44/3.21 tff(2017,plain,
% 4.44/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(2018,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(2019,plain,
% 4.44/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s22, c_ready)) | (~node2(s22, s23)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[2018, 2017])).
% 4.44/3.21 tff(2020,plain,
% 4.44/3.21 ((~m_main_v_state(s22, c_ready)) | m_main_v_state(s23, c_busy) | (~m_main_v_request(s22))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2019, 96, 2016])).
% 4.44/3.21 tff(2021,plain,
% 4.44/3.21 (~m_main_v_state(s22, c_ready)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2020, 2012, 1987])).
% 4.44/3.21 tff(2022,plain,
% 4.44/3.21 (always3(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1217, 35, 2008])).
% 4.44/3.21 tff(2023,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(2024,plain,
% 4.44/3.21 (((~m_main_v_state(s22, c_busy)) | (~always3(s22))) <=> ((~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(2025,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s22)) | (~m_main_v_state(s22, c_busy))))),
% 4.44/3.21 inference(monotonicity,[status(thm)],[2024])).
% 4.44/3.21 tff(2026,plain,
% 4.44/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy)))),
% 4.44/3.21 inference(transitivity,[status(thm)],[2025, 2023])).
% 4.44/3.21 tff(2027,plain,
% 4.44/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s22, c_busy)) | (~always3(s22)))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(2028,plain,
% 4.44/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s22)) | (~m_main_v_state(s22, c_busy))),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[2027, 2026])).
% 4.44/3.21 tff(2029,plain,
% 4.44/3.21 (~m_main_v_state(s22, c_busy)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2028, 75, 2022])).
% 4.44/3.21 tff(2030,plain,
% 4.44/3.21 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready))),
% 4.44/3.21 inference(rewrite,[status(thm)],[])).
% 4.44/3.21 tff(2031,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready))),
% 4.44/3.21 inference(quant_inst,[status(thm)],[])).
% 4.44/3.21 tff(2032,plain,
% 4.44/3.21 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s22, c_busy) | m_main_v_state(s22, c_ready)),
% 4.44/3.21 inference(modus_ponens,[status(thm)],[2031, 2030])).
% 4.44/3.21 tff(2033,plain,
% 4.44/3.21 ($false),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2032, 118, 2029, 2021])).
% 4.44/3.21 tff(2034,plain,((~until5(s22)) | xuntil6(s23) | m_main_v_state(s24, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.44/3.21 tff(2035,plain,
% 4.44/3.21 (~until5(s22)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2034, 1967, 1945])).
% 4.44/3.21 tff(2036,plain,
% 4.44/3.21 (~xuntil6(s21)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1233, 2035])).
% 4.44/3.21 tff(2037,assumption,(~always3(s21)), introduced(assumption)).
% 4.44/3.21 tff(2038,plain,
% 4.44/3.21 (~always3(s20)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1254, 2037])).
% 4.44/3.21 tff(2039,plain,
% 4.44/3.21 (~node4(s20)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1489, 35, 2038])).
% 4.44/3.21 tff(2040,plain,
% 4.44/3.21 (~node4(s21)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1506, 35, 2037])).
% 4.44/3.21 tff(2041,assumption,(~xuntil6(s21)), introduced(assumption)).
% 4.44/3.21 tff(2042,plain,
% 4.44/3.21 (node4(s21) | (~until5(s21))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1513, 155, 2041])).
% 4.44/3.21 tff(2043,plain,
% 4.44/3.21 (~until5(s21)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2042, 2040])).
% 4.44/3.21 tff(2044,plain,
% 4.44/3.21 (~xuntil6(s20)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1502, 2043])).
% 4.44/3.21 tff(2045,plain,
% 4.44/3.21 (~until5(s20)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1496, 155, 2044, 2039])).
% 4.44/3.21 tff(2046,plain,
% 4.44/3.21 (~xuntil6(s19)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1485, 2045])).
% 4.44/3.21 tff(2047,plain,
% 4.44/3.21 (~always3(s19)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1266, 2038])).
% 4.44/3.21 tff(2048,plain,
% 4.44/3.21 (~node4(s19)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1472, 35, 2047])).
% 4.44/3.21 tff(2049,plain,
% 4.44/3.21 (xuntil6(s19) | (~until5(s19))),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1479, 155, 2048])).
% 4.44/3.21 tff(2050,plain,
% 4.44/3.21 (~until5(s19)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[2049, 2046])).
% 4.44/3.21 tff(2051,plain,
% 4.44/3.21 (~xuntil6(s18)),
% 4.44/3.21 inference(unit_resolution,[status(thm)],[1468, 2050])).
% 4.45/3.21 tff(2052,plain,
% 4.45/3.21 (~always3(s18)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1278, 2047])).
% 4.45/3.21 tff(2053,plain,
% 4.45/3.21 (~node4(s18)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1455, 35, 2052])).
% 4.45/3.21 tff(2054,plain,
% 4.45/3.21 (xuntil6(s18) | (~until5(s18))),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1462, 155, 2053])).
% 4.45/3.21 tff(2055,plain,
% 4.45/3.21 (~until5(s18)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2054, 2051])).
% 4.45/3.21 tff(2056,plain,
% 4.45/3.21 (~xuntil6(s17)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1451, 2055])).
% 4.45/3.21 tff(2057,plain,
% 4.45/3.21 (~always3(s17)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1290, 2052])).
% 4.45/3.21 tff(2058,plain,
% 4.45/3.21 (~node4(s17)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1438, 35, 2057])).
% 4.45/3.21 tff(2059,plain,
% 4.45/3.21 (xuntil6(s17) | (~until5(s17))),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1445, 155, 2058])).
% 4.45/3.21 tff(2060,plain,
% 4.45/3.21 (~until5(s17)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2059, 2056])).
% 4.45/3.21 tff(2061,plain,
% 4.45/3.21 (~always3(s16)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1302, 2057])).
% 4.45/3.21 tff(2062,plain,
% 4.45/3.21 (~always3(s15)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1314, 2061])).
% 4.45/3.21 tff(2063,plain,
% 4.45/3.21 (~always3(s14)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1326, 2062])).
% 4.45/3.21 tff(2064,plain,
% 4.45/3.21 (~always3(s13)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1338, 2063])).
% 4.45/3.21 tff(2065,plain,
% 4.45/3.21 (~node4(s13)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1342, 35, 2064])).
% 4.45/3.21 tff(2066,plain,
% 4.45/3.21 (~always3(s12)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1354, 2064])).
% 4.45/3.21 tff(2067,plain,
% 4.45/3.21 (~node4(s12)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1358, 35, 2066])).
% 4.45/3.21 tff(2068,plain,
% 4.45/3.21 (xuntil6(s12)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1366, 2067])).
% 4.45/3.21 tff(2069,plain,
% 4.45/3.21 (until5(s13)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1371, 2068])).
% 4.45/3.21 tff(2070,plain,
% 4.45/3.21 (xuntil6(s13)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1378, 155, 2069, 2065])).
% 4.45/3.21 tff(2071,plain,
% 4.45/3.21 (until5(s14)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1383, 2070])).
% 4.45/3.21 tff(2072,plain,
% 4.45/3.21 (~node4(s14)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1387, 35, 2063])).
% 4.45/3.21 tff(2073,plain,
% 4.45/3.21 (xuntil6(s14) | (~until5(s14))),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1394, 155, 2072])).
% 4.45/3.21 tff(2074,plain,
% 4.45/3.21 (xuntil6(s14)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2073, 2071])).
% 4.45/3.21 tff(2075,plain,
% 4.45/3.21 (until5(s15)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1400, 2074])).
% 4.45/3.21 tff(2076,plain,
% 4.45/3.21 (~node4(s15)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1404, 35, 2062])).
% 4.45/3.21 tff(2077,plain,
% 4.45/3.21 (xuntil6(s15) | (~until5(s15))),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1411, 155, 2076])).
% 4.45/3.21 tff(2078,plain,
% 4.45/3.21 (xuntil6(s15)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2077, 2075])).
% 4.45/3.21 tff(2079,plain,
% 4.45/3.21 (until5(s16)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1417, 2078])).
% 4.45/3.21 tff(2080,plain,
% 4.45/3.21 (~node4(s16)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1421, 35, 2061])).
% 4.45/3.21 tff(2081,plain,
% 4.45/3.21 (xuntil6(s16) | (~until5(s16))),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1428, 155, 2080])).
% 4.45/3.21 tff(2082,plain,
% 4.45/3.21 (xuntil6(s16)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2081, 2079])).
% 4.45/3.21 tff(2083,plain,
% 4.45/3.21 ($false),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1434, 2082, 2060])).
% 4.45/3.21 tff(2084,plain,(always3(s21) | (~until5(s12)) | xuntil6(s21)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.21 tff(2085,plain,
% 4.45/3.21 (always3(s21)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2084, 982, 2036])).
% 4.45/3.21 tff(2086,plain,
% 4.45/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 4.45/3.21 inference(rewrite,[status(thm)],[])).
% 4.45/3.21 tff(2087,plain,
% 4.45/3.21 (((~m_main_v_state(s21, c_busy)) | (~always3(s21))) <=> ((~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 4.45/3.21 inference(rewrite,[status(thm)],[])).
% 4.45/3.21 tff(2088,plain,
% 4.45/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s21)) | (~m_main_v_state(s21, c_busy))))),
% 4.45/3.21 inference(monotonicity,[status(thm)],[2087])).
% 4.45/3.21 tff(2089,plain,
% 4.45/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy)))),
% 4.45/3.21 inference(transitivity,[status(thm)],[2088, 2086])).
% 4.45/3.21 tff(2090,plain,
% 4.45/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s21, c_busy)) | (~always3(s21)))),
% 4.45/3.21 inference(quant_inst,[status(thm)],[])).
% 4.45/3.21 tff(2091,plain,
% 4.45/3.21 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s21)) | (~m_main_v_state(s21, c_busy))),
% 4.45/3.21 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 4.45/3.21 tff(2092,plain,
% 4.45/3.21 (~m_main_v_state(s21, c_busy)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2091, 75, 2085])).
% 4.45/3.21 tff(2093,assumption,(~m_main_v_state(s21, c_busy)), introduced(assumption)).
% 4.45/3.21 tff(2094,assumption,(node4(s20)), introduced(assumption)).
% 4.45/3.21 tff(2095,plain,
% 4.45/3.21 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20)))),
% 4.45/3.21 inference(rewrite,[status(thm)],[])).
% 4.45/3.21 tff(2096,plain,
% 4.45/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s20) | (~node4(s20)))),
% 4.45/3.21 inference(quant_inst,[status(thm)],[])).
% 4.45/3.21 tff(2097,plain,
% 4.45/3.21 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s20) | (~node4(s20))),
% 4.45/3.21 inference(modus_ponens,[status(thm)],[2096, 2095])).
% 4.45/3.21 tff(2098,plain,
% 4.45/3.21 (m_main_v_request(s20)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2097, 17, 2094])).
% 4.45/3.21 tff(2099,plain,
% 4.45/3.21 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21))),
% 4.45/3.21 inference(rewrite,[status(thm)],[])).
% 4.45/3.21 tff(2100,plain,
% 4.45/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s20, s21)) | node2(s20, s21))),
% 4.45/3.21 inference(quant_inst,[status(thm)],[])).
% 4.45/3.21 tff(2101,plain,
% 4.45/3.21 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s20, s21)) | node2(s20, s21)),
% 4.45/3.21 inference(modus_ponens,[status(thm)],[2100, 2099])).
% 4.45/3.21 tff(2102,plain,
% 4.45/3.21 (node2(s20, s21)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2101, 7, 1250])).
% 4.45/3.21 tff(2103,plain,
% 4.45/3.21 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))),
% 4.45/3.21 inference(rewrite,[status(thm)],[])).
% 4.45/3.21 tff(2104,plain,
% 4.45/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20)))),
% 4.45/3.21 inference(quant_inst,[status(thm)],[])).
% 4.45/3.21 tff(2105,plain,
% 4.45/3.21 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s20, c_ready)) | (~node2(s20, s21)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 4.45/3.21 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 4.45/3.21 tff(2106,plain,
% 4.45/3.21 ((~m_main_v_state(s20, c_ready)) | m_main_v_state(s21, c_busy) | (~m_main_v_request(s20))),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2105, 96, 2102])).
% 4.45/3.21 tff(2107,plain,
% 4.45/3.21 (~m_main_v_state(s20, c_ready)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[2106, 2098, 2093])).
% 4.45/3.21 tff(2108,plain,
% 4.45/3.21 (always3(s20)),
% 4.45/3.21 inference(unit_resolution,[status(thm)],[1489, 35, 2094])).
% 4.45/3.21 tff(2109,plain,
% 4.45/3.21 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2110,plain,
% 4.45/3.22 (((~m_main_v_state(s20, c_busy)) | (~always3(s20))) <=> ((~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2111,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s20)) | (~m_main_v_state(s20, c_busy))))),
% 4.45/3.22 inference(monotonicity,[status(thm)],[2110])).
% 4.45/3.22 tff(2112,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy)))),
% 4.45/3.22 inference(transitivity,[status(thm)],[2111, 2109])).
% 4.45/3.22 tff(2113,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s20, c_busy)) | (~always3(s20)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2114,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s20)) | (~m_main_v_state(s20, c_busy))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 4.45/3.22 tff(2115,plain,
% 4.45/3.22 (~m_main_v_state(s20, c_busy)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2114, 75, 2108])).
% 4.45/3.22 tff(2116,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2117,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2118,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s20, c_busy) | m_main_v_state(s20, c_ready)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 4.45/3.22 tff(2119,plain,
% 4.45/3.22 ($false),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2118, 118, 2115, 2107])).
% 4.45/3.22 tff(2120,plain,((~node4(s20)) | m_main_v_state(s21, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.22 tff(2121,plain,
% 4.45/3.22 (~node4(s20)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2120, 2092])).
% 4.45/3.22 tff(2122,plain,
% 4.45/3.22 (always3(s22)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1242, 2085])).
% 4.45/3.22 tff(2123,plain,
% 4.45/3.22 (~m_main_v_state(s22, c_busy)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2028, 75, 2122])).
% 4.45/3.22 tff(2124,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2125,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2126,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s21, c_busy) | m_main_v_state(s21, c_ready)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2125, 2124])).
% 4.45/3.22 tff(2127,plain,
% 4.45/3.22 (m_main_v_state(s21, c_ready)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2126, 118, 2092])).
% 4.45/3.22 tff(2128,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2129,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s21, s22)) | node2(s21, s22))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2130,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s21, s22)) | node2(s21, s22)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 4.45/3.22 tff(2131,plain,
% 4.45/3.22 (node2(s21, s22)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2130, 7, 1238])).
% 4.45/3.22 tff(2132,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2133,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2134,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s21, c_ready)) | (~node2(s21, s22)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 4.45/3.22 tff(2135,plain,
% 4.45/3.22 ((~m_main_v_state(s21, c_ready)) | m_main_v_state(s22, c_busy) | (~m_main_v_request(s21))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2134, 96, 2131])).
% 4.45/3.22 tff(2136,plain,
% 4.45/3.22 (~m_main_v_request(s21)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2135, 2127, 2123])).
% 4.45/3.22 tff(2137,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2138,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s21) | (~node4(s21)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2139,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s21) | (~node4(s21))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2138, 2137])).
% 4.45/3.22 tff(2140,plain,
% 4.45/3.22 (~node4(s21)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2139, 17, 2136])).
% 4.45/3.22 tff(2141,plain,
% 4.45/3.22 (node4(s21) | (~until5(s21))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1513, 155, 2036])).
% 4.45/3.22 tff(2142,plain,
% 4.45/3.22 (~until5(s21)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2141, 2140])).
% 4.45/3.22 tff(2143,plain,
% 4.45/3.22 (~xuntil6(s20)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1502, 2142])).
% 4.45/3.22 tff(2144,plain,
% 4.45/3.22 (node4(s20) | (~until5(s20))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1496, 155, 2143])).
% 4.45/3.22 tff(2145,plain,
% 4.45/3.22 (~until5(s20)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2144, 2121])).
% 4.45/3.22 tff(2146,plain,
% 4.45/3.22 (~xuntil6(s19)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1485, 2145])).
% 4.45/3.22 tff(2147,assumption,(~always3(s19)), introduced(assumption)).
% 4.45/3.22 tff(2148,plain,
% 4.45/3.22 (~always3(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1278, 2147])).
% 4.45/3.22 tff(2149,plain,
% 4.45/3.22 (~node4(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1455, 35, 2148])).
% 4.45/3.22 tff(2150,plain,
% 4.45/3.22 (~node4(s19)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1472, 35, 2147])).
% 4.45/3.22 tff(2151,assumption,(~xuntil6(s19)), introduced(assumption)).
% 4.45/3.22 tff(2152,plain,
% 4.45/3.22 (node4(s19) | (~until5(s19))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1479, 155, 2151])).
% 4.45/3.22 tff(2153,plain,
% 4.45/3.22 (~until5(s19)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2152, 2150])).
% 4.45/3.22 tff(2154,plain,
% 4.45/3.22 (~xuntil6(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1468, 2153])).
% 4.45/3.22 tff(2155,plain,
% 4.45/3.22 (~until5(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1462, 155, 2154, 2149])).
% 4.45/3.22 tff(2156,plain,
% 4.45/3.22 (~xuntil6(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1451, 2155])).
% 4.45/3.22 tff(2157,plain,
% 4.45/3.22 (~always3(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1290, 2148])).
% 4.45/3.22 tff(2158,plain,
% 4.45/3.22 (~node4(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1438, 35, 2157])).
% 4.45/3.22 tff(2159,plain,
% 4.45/3.22 (xuntil6(s17) | (~until5(s17))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1445, 155, 2158])).
% 4.45/3.22 tff(2160,plain,
% 4.45/3.22 (~until5(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2159, 2156])).
% 4.45/3.22 tff(2161,plain,
% 4.45/3.22 (~xuntil6(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1434, 2160])).
% 4.45/3.22 tff(2162,plain,
% 4.45/3.22 (~always3(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1302, 2157])).
% 4.45/3.22 tff(2163,plain,
% 4.45/3.22 (~node4(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1421, 35, 2162])).
% 4.45/3.22 tff(2164,plain,
% 4.45/3.22 (xuntil6(s16) | (~until5(s16))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1428, 155, 2163])).
% 4.45/3.22 tff(2165,plain,
% 4.45/3.22 (~until5(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2164, 2161])).
% 4.45/3.22 tff(2166,plain,
% 4.45/3.22 (~always3(s15)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1314, 2162])).
% 4.45/3.22 tff(2167,plain,
% 4.45/3.22 (~always3(s14)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1326, 2166])).
% 4.45/3.22 tff(2168,plain,
% 4.45/3.22 (~always3(s13)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1338, 2167])).
% 4.45/3.22 tff(2169,plain,
% 4.45/3.22 (~node4(s13)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1342, 35, 2168])).
% 4.45/3.22 tff(2170,plain,
% 4.45/3.22 (~always3(s12)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1354, 2168])).
% 4.45/3.22 tff(2171,plain,
% 4.45/3.22 (~node4(s12)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1358, 35, 2170])).
% 4.45/3.22 tff(2172,plain,
% 4.45/3.22 (xuntil6(s12)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1366, 2171])).
% 4.45/3.22 tff(2173,plain,
% 4.45/3.22 (until5(s13)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1371, 2172])).
% 4.45/3.22 tff(2174,plain,
% 4.45/3.22 (xuntil6(s13)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1378, 155, 2173, 2169])).
% 4.45/3.22 tff(2175,plain,
% 4.45/3.22 (until5(s14)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1383, 2174])).
% 4.45/3.22 tff(2176,plain,
% 4.45/3.22 (~node4(s14)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1387, 35, 2167])).
% 4.45/3.22 tff(2177,plain,
% 4.45/3.22 (xuntil6(s14) | (~until5(s14))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1394, 155, 2176])).
% 4.45/3.22 tff(2178,plain,
% 4.45/3.22 (xuntil6(s14)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2177, 2175])).
% 4.45/3.22 tff(2179,plain,
% 4.45/3.22 (until5(s15)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1400, 2178])).
% 4.45/3.22 tff(2180,plain,
% 4.45/3.22 (~node4(s15)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1404, 35, 2166])).
% 4.45/3.22 tff(2181,plain,
% 4.45/3.22 (xuntil6(s15) | (~until5(s15))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1411, 155, 2180])).
% 4.45/3.22 tff(2182,plain,
% 4.45/3.22 (xuntil6(s15)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2181, 2179])).
% 4.45/3.22 tff(2183,plain,
% 4.45/3.22 ($false),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1417, 2182, 2165])).
% 4.45/3.22 tff(2184,plain,(always3(s19) | (~until5(s12)) | xuntil6(s19)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.22 tff(2185,plain,
% 4.45/3.22 (always3(s19)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2184, 982, 2146])).
% 4.45/3.22 tff(2186,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2187,plain,
% 4.45/3.22 (((~m_main_v_state(s19, c_busy)) | (~always3(s19))) <=> ((~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2188,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s19)) | (~m_main_v_state(s19, c_busy))))),
% 4.45/3.22 inference(monotonicity,[status(thm)],[2187])).
% 4.45/3.22 tff(2189,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy)))),
% 4.45/3.22 inference(transitivity,[status(thm)],[2188, 2186])).
% 4.45/3.22 tff(2190,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s19, c_busy)) | (~always3(s19)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2191,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s19)) | (~m_main_v_state(s19, c_busy))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2190, 2189])).
% 4.45/3.22 tff(2192,plain,
% 4.45/3.22 (~m_main_v_state(s19, c_busy)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2191, 75, 2185])).
% 4.45/3.22 tff(2193,assumption,(~m_main_v_state(s19, c_busy)), introduced(assumption)).
% 4.45/3.22 tff(2194,assumption,(node4(s18)), introduced(assumption)).
% 4.45/3.22 tff(2195,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2196,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s18) | (~node4(s18)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2197,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s18) | (~node4(s18))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 4.45/3.22 tff(2198,plain,
% 4.45/3.22 (m_main_v_request(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2197, 17, 2194])).
% 4.45/3.22 tff(2199,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2200,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s18, s19)) | node2(s18, s19))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2201,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s18, s19)) | node2(s18, s19)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 4.45/3.22 tff(2202,plain,
% 4.45/3.22 (node2(s18, s19)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2201, 7, 1274])).
% 4.45/3.22 tff(2203,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2204,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2205,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s18, c_ready)) | (~node2(s18, s19)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2204, 2203])).
% 4.45/3.22 tff(2206,plain,
% 4.45/3.22 ((~m_main_v_state(s18, c_ready)) | m_main_v_state(s19, c_busy) | (~m_main_v_request(s18))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2205, 96, 2202])).
% 4.45/3.22 tff(2207,plain,
% 4.45/3.22 (~m_main_v_state(s18, c_ready)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2206, 2198, 2193])).
% 4.45/3.22 tff(2208,plain,
% 4.45/3.22 (always3(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1455, 35, 2194])).
% 4.45/3.22 tff(2209,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2210,plain,
% 4.45/3.22 (((~m_main_v_state(s18, c_busy)) | (~always3(s18))) <=> ((~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2211,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s18)) | (~m_main_v_state(s18, c_busy))))),
% 4.45/3.22 inference(monotonicity,[status(thm)],[2210])).
% 4.45/3.22 tff(2212,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy)))),
% 4.45/3.22 inference(transitivity,[status(thm)],[2211, 2209])).
% 4.45/3.22 tff(2213,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s18, c_busy)) | (~always3(s18)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2214,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s18)) | (~m_main_v_state(s18, c_busy))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 4.45/3.22 tff(2215,plain,
% 4.45/3.22 (~m_main_v_state(s18, c_busy)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2214, 75, 2208])).
% 4.45/3.22 tff(2216,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2217,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2218,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s18, c_busy) | m_main_v_state(s18, c_ready)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2217, 2216])).
% 4.45/3.22 tff(2219,plain,
% 4.45/3.22 ($false),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2218, 118, 2215, 2207])).
% 4.45/3.22 tff(2220,plain,((~node4(s18)) | m_main_v_state(s19, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.22 tff(2221,plain,
% 4.45/3.22 (~node4(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2220, 2192])).
% 4.45/3.22 tff(2222,plain,
% 4.45/3.22 (always3(s20)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1266, 2185])).
% 4.45/3.22 tff(2223,plain,
% 4.45/3.22 (~m_main_v_state(s20, c_busy)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2114, 75, 2222])).
% 4.45/3.22 tff(2224,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2225,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2226,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s19, c_busy) | m_main_v_state(s19, c_ready)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2225, 2224])).
% 4.45/3.22 tff(2227,plain,
% 4.45/3.22 (m_main_v_state(s19, c_ready)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2226, 118, 2192])).
% 4.45/3.22 tff(2228,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2229,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s19, s20)) | node2(s19, s20))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2230,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s19, s20)) | node2(s19, s20)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 4.45/3.22 tff(2231,plain,
% 4.45/3.22 (node2(s19, s20)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2230, 7, 1262])).
% 4.45/3.22 tff(2232,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2233,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2234,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s19, c_ready)) | (~node2(s19, s20)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2233, 2232])).
% 4.45/3.22 tff(2235,plain,
% 4.45/3.22 ((~m_main_v_state(s19, c_ready)) | m_main_v_state(s20, c_busy) | (~m_main_v_request(s19))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2234, 96, 2231])).
% 4.45/3.22 tff(2236,plain,
% 4.45/3.22 (~m_main_v_request(s19)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2235, 2227, 2223])).
% 4.45/3.22 tff(2237,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2238,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s19) | (~node4(s19)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2239,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s19) | (~node4(s19))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2238, 2237])).
% 4.45/3.22 tff(2240,plain,
% 4.45/3.22 (~node4(s19)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2239, 17, 2236])).
% 4.45/3.22 tff(2241,plain,
% 4.45/3.22 (node4(s19) | (~until5(s19))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1479, 155, 2146])).
% 4.45/3.22 tff(2242,plain,
% 4.45/3.22 (~until5(s19)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2241, 2240])).
% 4.45/3.22 tff(2243,plain,
% 4.45/3.22 (~xuntil6(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1468, 2242])).
% 4.45/3.22 tff(2244,plain,
% 4.45/3.22 (node4(s18) | (~until5(s18))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1462, 155, 2243])).
% 4.45/3.22 tff(2245,plain,
% 4.45/3.22 (~until5(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2244, 2221])).
% 4.45/3.22 tff(2246,plain,
% 4.45/3.22 (~xuntil6(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1451, 2245])).
% 4.45/3.22 tff(2247,assumption,(~always3(s17)), introduced(assumption)).
% 4.45/3.22 tff(2248,plain,
% 4.45/3.22 (~always3(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1302, 2247])).
% 4.45/3.22 tff(2249,plain,
% 4.45/3.22 (~node4(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1421, 35, 2248])).
% 4.45/3.22 tff(2250,plain,
% 4.45/3.22 (~node4(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1438, 35, 2247])).
% 4.45/3.22 tff(2251,assumption,(~xuntil6(s17)), introduced(assumption)).
% 4.45/3.22 tff(2252,plain,
% 4.45/3.22 (node4(s17) | (~until5(s17))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1445, 155, 2251])).
% 4.45/3.22 tff(2253,plain,
% 4.45/3.22 (~until5(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2252, 2250])).
% 4.45/3.22 tff(2254,plain,
% 4.45/3.22 (~xuntil6(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1434, 2253])).
% 4.45/3.22 tff(2255,plain,
% 4.45/3.22 (~until5(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1428, 155, 2254, 2249])).
% 4.45/3.22 tff(2256,plain,
% 4.45/3.22 (~xuntil6(s15)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1417, 2255])).
% 4.45/3.22 tff(2257,plain,
% 4.45/3.22 (~always3(s15)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1314, 2248])).
% 4.45/3.22 tff(2258,plain,
% 4.45/3.22 (~node4(s15)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1404, 35, 2257])).
% 4.45/3.22 tff(2259,plain,
% 4.45/3.22 (xuntil6(s15) | (~until5(s15))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1411, 155, 2258])).
% 4.45/3.22 tff(2260,plain,
% 4.45/3.22 (~until5(s15)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2259, 2256])).
% 4.45/3.22 tff(2261,plain,
% 4.45/3.22 (~always3(s14)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1326, 2257])).
% 4.45/3.22 tff(2262,plain,
% 4.45/3.22 (~always3(s13)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1338, 2261])).
% 4.45/3.22 tff(2263,plain,
% 4.45/3.22 (~node4(s13)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1342, 35, 2262])).
% 4.45/3.22 tff(2264,plain,
% 4.45/3.22 (~always3(s12)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1354, 2262])).
% 4.45/3.22 tff(2265,plain,
% 4.45/3.22 (~node4(s12)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1358, 35, 2264])).
% 4.45/3.22 tff(2266,plain,
% 4.45/3.22 (xuntil6(s12)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1366, 2265])).
% 4.45/3.22 tff(2267,plain,
% 4.45/3.22 (until5(s13)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1371, 2266])).
% 4.45/3.22 tff(2268,plain,
% 4.45/3.22 (xuntil6(s13)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1378, 155, 2267, 2263])).
% 4.45/3.22 tff(2269,plain,
% 4.45/3.22 (until5(s14)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1383, 2268])).
% 4.45/3.22 tff(2270,plain,
% 4.45/3.22 (~node4(s14)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1387, 35, 2261])).
% 4.45/3.22 tff(2271,plain,
% 4.45/3.22 (xuntil6(s14) | (~until5(s14))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1394, 155, 2270])).
% 4.45/3.22 tff(2272,plain,
% 4.45/3.22 (xuntil6(s14)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2271, 2269])).
% 4.45/3.22 tff(2273,plain,
% 4.45/3.22 ($false),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1400, 2272, 2260])).
% 4.45/3.22 tff(2274,plain,(always3(s17) | (~until5(s12)) | xuntil6(s17)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.22 tff(2275,plain,
% 4.45/3.22 (always3(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2274, 982, 2246])).
% 4.45/3.22 tff(2276,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2277,plain,
% 4.45/3.22 (((~m_main_v_state(s17, c_busy)) | (~always3(s17))) <=> ((~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2278,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s17)) | (~m_main_v_state(s17, c_busy))))),
% 4.45/3.22 inference(monotonicity,[status(thm)],[2277])).
% 4.45/3.22 tff(2279,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy)))),
% 4.45/3.22 inference(transitivity,[status(thm)],[2278, 2276])).
% 4.45/3.22 tff(2280,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s17, c_busy)) | (~always3(s17)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2281,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s17)) | (~m_main_v_state(s17, c_busy))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2280, 2279])).
% 4.45/3.22 tff(2282,plain,
% 4.45/3.22 (~m_main_v_state(s17, c_busy)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2281, 75, 2275])).
% 4.45/3.22 tff(2283,assumption,(~m_main_v_state(s17, c_busy)), introduced(assumption)).
% 4.45/3.22 tff(2284,assumption,(node4(s16)), introduced(assumption)).
% 4.45/3.22 tff(2285,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2286,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s16) | (~node4(s16)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2287,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s16) | (~node4(s16))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2286, 2285])).
% 4.45/3.22 tff(2288,plain,
% 4.45/3.22 (m_main_v_request(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2287, 17, 2284])).
% 4.45/3.22 tff(2289,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2290,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s16, s17)) | node2(s16, s17))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2291,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s16, s17)) | node2(s16, s17)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2290, 2289])).
% 4.45/3.22 tff(2292,plain,
% 4.45/3.22 (node2(s16, s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2291, 7, 1298])).
% 4.45/3.22 tff(2293,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2294,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2295,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s16, c_ready)) | (~node2(s16, s17)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2294, 2293])).
% 4.45/3.22 tff(2296,plain,
% 4.45/3.22 ((~m_main_v_state(s16, c_ready)) | m_main_v_state(s17, c_busy) | (~m_main_v_request(s16))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2295, 96, 2292])).
% 4.45/3.22 tff(2297,plain,
% 4.45/3.22 (~m_main_v_state(s16, c_ready)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2296, 2288, 2283])).
% 4.45/3.22 tff(2298,plain,
% 4.45/3.22 (always3(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1421, 35, 2284])).
% 4.45/3.22 tff(2299,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2300,plain,
% 4.45/3.22 (((~m_main_v_state(s16, c_busy)) | (~always3(s16))) <=> ((~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2301,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s16)) | (~m_main_v_state(s16, c_busy))))),
% 4.45/3.22 inference(monotonicity,[status(thm)],[2300])).
% 4.45/3.22 tff(2302,plain,
% 4.45/3.22 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy)))),
% 4.45/3.22 inference(transitivity,[status(thm)],[2301, 2299])).
% 4.45/3.22 tff(2303,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s16, c_busy)) | (~always3(s16)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2304,plain,
% 4.45/3.22 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s16)) | (~m_main_v_state(s16, c_busy))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2303, 2302])).
% 4.45/3.22 tff(2305,plain,
% 4.45/3.22 (~m_main_v_state(s16, c_busy)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2304, 75, 2298])).
% 4.45/3.22 tff(2306,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2307,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2308,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s16, c_busy) | m_main_v_state(s16, c_ready)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2307, 2306])).
% 4.45/3.22 tff(2309,plain,
% 4.45/3.22 ($false),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2308, 118, 2305, 2297])).
% 4.45/3.22 tff(2310,plain,((~node4(s16)) | m_main_v_state(s17, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.22 tff(2311,plain,
% 4.45/3.22 (~node4(s16)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2310, 2282])).
% 4.45/3.22 tff(2312,plain,
% 4.45/3.22 (always3(s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1290, 2275])).
% 4.45/3.22 tff(2313,plain,
% 4.45/3.22 (~m_main_v_state(s18, c_busy)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2214, 75, 2312])).
% 4.45/3.22 tff(2314,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2315,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2316,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s17, c_busy) | m_main_v_state(s17, c_ready)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2315, 2314])).
% 4.45/3.22 tff(2317,plain,
% 4.45/3.22 (m_main_v_state(s17, c_ready)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2316, 118, 2282])).
% 4.45/3.22 tff(2318,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2319,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s17, s18)) | node2(s17, s18))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2320,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s17, s18)) | node2(s17, s18)),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2319, 2318])).
% 4.45/3.22 tff(2321,plain,
% 4.45/3.22 (node2(s17, s18)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2320, 7, 1286])).
% 4.45/3.22 tff(2322,plain,
% 4.45/3.22 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2323,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2324,plain,
% 4.45/3.22 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s17, c_ready)) | (~node2(s17, s18)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 4.45/3.22 tff(2325,plain,
% 4.45/3.22 ((~m_main_v_state(s17, c_ready)) | m_main_v_state(s18, c_busy) | (~m_main_v_request(s17))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2324, 96, 2321])).
% 4.45/3.22 tff(2326,plain,
% 4.45/3.22 (~m_main_v_request(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2325, 2317, 2313])).
% 4.45/3.22 tff(2327,plain,
% 4.45/3.22 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17)))),
% 4.45/3.22 inference(rewrite,[status(thm)],[])).
% 4.45/3.22 tff(2328,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s17) | (~node4(s17)))),
% 4.45/3.22 inference(quant_inst,[status(thm)],[])).
% 4.45/3.22 tff(2329,plain,
% 4.45/3.22 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s17) | (~node4(s17))),
% 4.45/3.22 inference(modus_ponens,[status(thm)],[2328, 2327])).
% 4.45/3.22 tff(2330,plain,
% 4.45/3.22 (~node4(s17)),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[2329, 17, 2326])).
% 4.45/3.22 tff(2331,plain,
% 4.45/3.22 (node4(s17) | (~until5(s17))),
% 4.45/3.22 inference(unit_resolution,[status(thm)],[1445, 155, 2246])).
% 4.45/3.23 tff(2332,plain,
% 4.45/3.23 (~until5(s17)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2331, 2330])).
% 4.45/3.23 tff(2333,plain,
% 4.45/3.23 (~xuntil6(s16)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1434, 2332])).
% 4.45/3.23 tff(2334,plain,
% 4.45/3.23 (node4(s16) | (~until5(s16))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1428, 155, 2333])).
% 4.45/3.23 tff(2335,plain,
% 4.45/3.23 (~until5(s16)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2334, 2311])).
% 4.45/3.23 tff(2336,plain,
% 4.45/3.23 (~xuntil6(s15)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1417, 2335])).
% 4.45/3.23 tff(2337,assumption,(~always3(s15)), introduced(assumption)).
% 4.45/3.23 tff(2338,plain,
% 4.45/3.23 (~always3(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1326, 2337])).
% 4.45/3.23 tff(2339,plain,
% 4.45/3.23 (~node4(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1387, 35, 2338])).
% 4.45/3.23 tff(2340,plain,
% 4.45/3.23 (~node4(s15)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1404, 35, 2337])).
% 4.45/3.23 tff(2341,assumption,(~xuntil6(s15)), introduced(assumption)).
% 4.45/3.23 tff(2342,plain,
% 4.45/3.23 (node4(s15) | (~until5(s15))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1411, 155, 2341])).
% 4.45/3.23 tff(2343,plain,
% 4.45/3.23 (~until5(s15)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2342, 2340])).
% 4.45/3.23 tff(2344,plain,
% 4.45/3.23 (~xuntil6(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1400, 2343])).
% 4.45/3.23 tff(2345,plain,
% 4.45/3.23 (~until5(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1394, 155, 2344, 2339])).
% 4.45/3.23 tff(2346,plain,
% 4.45/3.23 (~always3(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1338, 2338])).
% 4.45/3.23 tff(2347,plain,
% 4.45/3.23 (~node4(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1342, 35, 2346])).
% 4.45/3.23 tff(2348,plain,
% 4.45/3.23 (~always3(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1354, 2346])).
% 4.45/3.23 tff(2349,plain,
% 4.45/3.23 (~node4(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1358, 35, 2348])).
% 4.45/3.23 tff(2350,plain,
% 4.45/3.23 (xuntil6(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1366, 2349])).
% 4.45/3.23 tff(2351,plain,
% 4.45/3.23 (until5(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1371, 2350])).
% 4.45/3.23 tff(2352,plain,
% 4.45/3.23 (xuntil6(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1378, 155, 2351, 2347])).
% 4.45/3.23 tff(2353,plain,
% 4.45/3.23 ($false),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1383, 2352, 2345])).
% 4.45/3.23 tff(2354,plain,(always3(s15) | (~until5(s12)) | xuntil6(s15)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.23 tff(2355,plain,
% 4.45/3.23 (always3(s15)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2354, 982, 2336])).
% 4.45/3.23 tff(2356,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2357,plain,
% 4.45/3.23 (((~m_main_v_state(s15, c_busy)) | (~always3(s15))) <=> ((~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2358,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s15)) | (~m_main_v_state(s15, c_busy))))),
% 4.45/3.23 inference(monotonicity,[status(thm)],[2357])).
% 4.45/3.23 tff(2359,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy)))),
% 4.45/3.23 inference(transitivity,[status(thm)],[2358, 2356])).
% 4.45/3.23 tff(2360,plain,
% 4.45/3.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s15, c_busy)) | (~always3(s15)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2361,plain,
% 4.45/3.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s15)) | (~m_main_v_state(s15, c_busy))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2360, 2359])).
% 4.45/3.23 tff(2362,plain,
% 4.45/3.23 (~m_main_v_state(s15, c_busy)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2361, 75, 2355])).
% 4.45/3.23 tff(2363,assumption,(~m_main_v_state(s15, c_busy)), introduced(assumption)).
% 4.45/3.23 tff(2364,assumption,(node4(s14)), introduced(assumption)).
% 4.45/3.23 tff(2365,plain,
% 4.45/3.23 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2366,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s14) | (~node4(s14)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2367,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s14) | (~node4(s14))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2366, 2365])).
% 4.45/3.23 tff(2368,plain,
% 4.45/3.23 (m_main_v_request(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2367, 17, 2364])).
% 4.45/3.23 tff(2369,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2370,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s14, s15)) | node2(s14, s15))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2371,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s14, s15)) | node2(s14, s15)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 4.45/3.23 tff(2372,plain,
% 4.45/3.23 (node2(s14, s15)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2371, 7, 1322])).
% 4.45/3.23 tff(2373,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2374,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2375,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s14, c_ready)) | (~node2(s14, s15)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 4.45/3.23 tff(2376,plain,
% 4.45/3.23 ((~m_main_v_state(s14, c_ready)) | m_main_v_state(s15, c_busy) | (~m_main_v_request(s14))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2375, 96, 2372])).
% 4.45/3.23 tff(2377,plain,
% 4.45/3.23 (~m_main_v_state(s14, c_ready)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2376, 2368, 2363])).
% 4.45/3.23 tff(2378,plain,
% 4.45/3.23 (always3(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1387, 35, 2364])).
% 4.45/3.23 tff(2379,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2380,plain,
% 4.45/3.23 (((~m_main_v_state(s14, c_busy)) | (~always3(s14))) <=> ((~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2381,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s14)) | (~m_main_v_state(s14, c_busy))))),
% 4.45/3.23 inference(monotonicity,[status(thm)],[2380])).
% 4.45/3.23 tff(2382,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy)))),
% 4.45/3.23 inference(transitivity,[status(thm)],[2381, 2379])).
% 4.45/3.23 tff(2383,plain,
% 4.45/3.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s14, c_busy)) | (~always3(s14)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2384,plain,
% 4.45/3.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s14)) | (~m_main_v_state(s14, c_busy))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2383, 2382])).
% 4.45/3.23 tff(2385,plain,
% 4.45/3.23 (~m_main_v_state(s14, c_busy)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2384, 75, 2378])).
% 4.45/3.23 tff(2386,plain,
% 4.45/3.23 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2387,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2388,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s14, c_busy) | m_main_v_state(s14, c_ready)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 4.45/3.23 tff(2389,plain,
% 4.45/3.23 ($false),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2388, 118, 2385, 2377])).
% 4.45/3.23 tff(2390,plain,((~node4(s14)) | m_main_v_state(s15, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.23 tff(2391,plain,
% 4.45/3.23 (~node4(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2390, 2362])).
% 4.45/3.23 tff(2392,plain,
% 4.45/3.23 (always3(s16)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1314, 2355])).
% 4.45/3.23 tff(2393,plain,
% 4.45/3.23 (~m_main_v_state(s16, c_busy)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2304, 75, 2392])).
% 4.45/3.23 tff(2394,plain,
% 4.45/3.23 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2395,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2396,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s15, c_busy) | m_main_v_state(s15, c_ready)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2395, 2394])).
% 4.45/3.23 tff(2397,plain,
% 4.45/3.23 (m_main_v_state(s15, c_ready)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2396, 118, 2362])).
% 4.45/3.23 tff(2398,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2399,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s15, s16)) | node2(s15, s16))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2400,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s15, s16)) | node2(s15, s16)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2399, 2398])).
% 4.45/3.23 tff(2401,plain,
% 4.45/3.23 (node2(s15, s16)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2400, 7, 1310])).
% 4.45/3.23 tff(2402,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2403,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2404,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s15, c_ready)) | (~node2(s15, s16)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2403, 2402])).
% 4.45/3.23 tff(2405,plain,
% 4.45/3.23 ((~m_main_v_state(s15, c_ready)) | m_main_v_state(s16, c_busy) | (~m_main_v_request(s15))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2404, 96, 2401])).
% 4.45/3.23 tff(2406,plain,
% 4.45/3.23 (~m_main_v_request(s15)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2405, 2397, 2393])).
% 4.45/3.23 tff(2407,plain,
% 4.45/3.23 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2408,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s15) | (~node4(s15)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2409,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s15) | (~node4(s15))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2408, 2407])).
% 4.45/3.23 tff(2410,plain,
% 4.45/3.23 (~node4(s15)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2409, 17, 2406])).
% 4.45/3.23 tff(2411,plain,
% 4.45/3.23 (node4(s15) | (~until5(s15))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1411, 155, 2336])).
% 4.45/3.23 tff(2412,plain,
% 4.45/3.23 (~until5(s15)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2411, 2410])).
% 4.45/3.23 tff(2413,plain,
% 4.45/3.23 (~xuntil6(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1400, 2412])).
% 4.45/3.23 tff(2414,plain,
% 4.45/3.23 (node4(s14) | (~until5(s14))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1394, 155, 2413])).
% 4.45/3.23 tff(2415,plain,
% 4.45/3.23 (~until5(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2414, 2391])).
% 4.45/3.23 tff(2416,plain,
% 4.45/3.23 (~xuntil6(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1383, 2415])).
% 4.45/3.23 tff(2417,assumption,(~always3(s13)), introduced(assumption)).
% 4.45/3.23 tff(2418,plain,
% 4.45/3.23 (~node4(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1342, 35, 2417])).
% 4.45/3.23 tff(2419,assumption,(~xuntil6(s13)), introduced(assumption)).
% 4.45/3.23 tff(2420,plain,
% 4.45/3.23 (node4(s13) | (~until5(s13))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1378, 155, 2419])).
% 4.45/3.23 tff(2421,plain,
% 4.45/3.23 (~until5(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2420, 2418])).
% 4.45/3.23 tff(2422,plain,
% 4.45/3.23 (~always3(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1354, 2417])).
% 4.45/3.23 tff(2423,plain,
% 4.45/3.23 (~node4(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1358, 35, 2422])).
% 4.45/3.23 tff(2424,plain,
% 4.45/3.23 (xuntil6(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1366, 2423])).
% 4.45/3.23 tff(2425,plain,
% 4.45/3.23 ($false),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1371, 2424, 2421])).
% 4.45/3.23 tff(2426,plain,(always3(s13) | (~until5(s12)) | xuntil6(s13)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.23 tff(2427,plain,
% 4.45/3.23 (always3(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2426, 982, 2416])).
% 4.45/3.23 tff(2428,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2429,plain,
% 4.45/3.23 (((~m_main_v_state(s13, c_busy)) | (~always3(s13))) <=> ((~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2430,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s13)) | (~m_main_v_state(s13, c_busy))))),
% 4.45/3.23 inference(monotonicity,[status(thm)],[2429])).
% 4.45/3.23 tff(2431,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy)))),
% 4.45/3.23 inference(transitivity,[status(thm)],[2430, 2428])).
% 4.45/3.23 tff(2432,plain,
% 4.45/3.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s13, c_busy)) | (~always3(s13)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2433,plain,
% 4.45/3.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s13)) | (~m_main_v_state(s13, c_busy))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2432, 2431])).
% 4.45/3.23 tff(2434,plain,
% 4.45/3.23 (~m_main_v_state(s13, c_busy)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2433, 75, 2427])).
% 4.45/3.23 tff(2435,plain,
% 4.45/3.23 (always3(s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1338, 2427])).
% 4.45/3.23 tff(2436,plain,
% 4.45/3.23 (~m_main_v_state(s14, c_busy)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2384, 75, 2435])).
% 4.45/3.23 tff(2437,plain,
% 4.45/3.23 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2438,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2439,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s13, c_busy) | m_main_v_state(s13, c_ready)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2438, 2437])).
% 4.45/3.23 tff(2440,plain,
% 4.45/3.23 (m_main_v_state(s13, c_ready)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2439, 118, 2434])).
% 4.45/3.23 tff(2441,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2442,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s13, s14)) | node2(s13, s14))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2443,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s13, s14)) | node2(s13, s14)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2442, 2441])).
% 4.45/3.23 tff(2444,plain,
% 4.45/3.23 (node2(s13, s14)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2443, 7, 1334])).
% 4.45/3.23 tff(2445,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2446,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2447,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s13, c_ready)) | (~node2(s13, s14)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2446, 2445])).
% 4.45/3.23 tff(2448,plain,
% 4.45/3.23 ((~m_main_v_state(s13, c_ready)) | m_main_v_state(s14, c_busy) | (~m_main_v_request(s13))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2447, 96, 2444])).
% 4.45/3.23 tff(2449,plain,
% 4.45/3.23 (~m_main_v_request(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2448, 2440, 2436])).
% 4.45/3.23 tff(2450,plain,
% 4.45/3.23 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2451,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s13) | (~node4(s13)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2452,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s13) | (~node4(s13))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2451, 2450])).
% 4.45/3.23 tff(2453,plain,
% 4.45/3.23 (~node4(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2452, 17, 2449])).
% 4.45/3.23 tff(2454,plain,
% 4.45/3.23 (node4(s13) | (~until5(s13))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1378, 155, 2416])).
% 4.45/3.23 tff(2455,plain,
% 4.45/3.23 (~until5(s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2454, 2453])).
% 4.45/3.23 tff(2456,plain,
% 4.45/3.23 (~xuntil6(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1371, 2455])).
% 4.45/3.23 tff(2457,plain,
% 4.45/3.23 (node4(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1366, 2456])).
% 4.45/3.23 tff(2458,plain,
% 4.45/3.23 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2459,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s12) | (~node4(s12)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2460,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s12) | (~node4(s12))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2459, 2458])).
% 4.45/3.23 tff(2461,plain,
% 4.45/3.23 (m_main_v_request(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2460, 17, 2457])).
% 4.45/3.23 tff(2462,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2463,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s12, s13)) | node2(s12, s13))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2464,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s12, s13)) | node2(s12, s13)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2463, 2462])).
% 4.45/3.23 tff(2465,plain,
% 4.45/3.23 (node2(s12, s13)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2464, 7, 1350])).
% 4.45/3.23 tff(2466,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2467,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2468,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s12, c_ready)) | (~node2(s12, s13)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2467, 2466])).
% 4.45/3.23 tff(2469,plain,
% 4.45/3.23 ((~m_main_v_state(s12, c_ready)) | m_main_v_state(s13, c_busy) | (~m_main_v_request(s12))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2468, 96, 2465])).
% 4.45/3.23 tff(2470,plain,
% 4.45/3.23 (~m_main_v_state(s12, c_ready)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2469, 2461, 2434])).
% 4.45/3.23 tff(2471,plain,
% 4.45/3.23 (always3(s12)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[1358, 35, 2457])).
% 4.45/3.23 tff(2472,plain,
% 4.45/3.23 (~m_main_v_state(s12, c_busy)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[497, 75, 2471])).
% 4.45/3.23 tff(2473,plain,
% 4.45/3.23 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2474,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2475,plain,
% 4.45/3.23 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s12, c_busy) | m_main_v_state(s12, c_ready)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2474, 2473])).
% 4.45/3.23 tff(2476,plain,
% 4.45/3.23 ($false),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2475, 118, 2472, 2470])).
% 4.45/3.23 tff(2477,plain,((~until5(s12)) | xuntil6(s30)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.23 tff(2478,plain,
% 4.45/3.23 (xuntil6(s30)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2477, 980])).
% 4.45/3.23 tff(2479,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2480,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2481,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s30, s31)) | (~xuntil6(s30)) | until5(s31)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 4.45/3.23 tff(2482,plain,
% 4.45/3.23 ((~xuntil6(s30)) | until5(s31)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2481, 1556, 173])).
% 4.45/3.23 tff(2483,plain,
% 4.45/3.23 (until5(s31)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2482, 2478])).
% 4.45/3.23 tff(2484,assumption,(~xuntil6(s32)), introduced(assumption)).
% 4.45/3.23 tff(2485,assumption,(until5(s31)), introduced(assumption)).
% 4.45/3.23 tff(2486,assumption,(~always3(s32)), introduced(assumption)).
% 4.45/3.23 tff(2487,plain,
% 4.45/3.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2488,plain,
% 4.45/3.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s32) | (~node4(s32)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2489,plain,
% 4.45/3.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s32) | (~node4(s32))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2488, 2487])).
% 4.45/3.23 tff(2490,plain,
% 4.45/3.23 (~node4(s32)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2489, 35, 2486])).
% 4.45/3.23 tff(2491,plain,
% 4.45/3.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s32) | node4(s32) | (~until5(s32)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2492,plain,
% 4.45/3.23 ((node4(s32) | (~until5(s32)) | xuntil6(s32)) <=> (xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2493,plain,
% 4.45/3.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s32) | node4(s32) | (~until5(s32))))),
% 4.45/3.23 inference(monotonicity,[status(thm)],[2492])).
% 4.45/3.23 tff(2494,plain,
% 4.45/3.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32)))),
% 4.45/3.23 inference(transitivity,[status(thm)],[2493, 2491])).
% 4.45/3.23 tff(2495,plain,
% 4.45/3.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s32) | (~until5(s32)) | xuntil6(s32))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2496,plain,
% 4.45/3.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s32) | node4(s32) | (~until5(s32))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2495, 2494])).
% 4.45/3.23 tff(2497,plain,
% 4.45/3.23 (node4(s32) | (~until5(s32))),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2496, 155, 2484])).
% 4.45/3.23 tff(2498,plain,
% 4.45/3.23 (~until5(s32)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2497, 2490])).
% 4.45/3.23 tff(2499,plain,
% 4.45/3.23 (succ(s31, s32) <=> succ(s31, s32)),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2500,axiom,(succ(s31, s32)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound32')).
% 4.45/3.23 tff(2501,plain,
% 4.45/3.23 (succ(s31, s32)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 4.45/3.23 tff(2502,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2503,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s31, s32)) | trans(s31, s32))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2504,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s31, s32)) | trans(s31, s32)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2503, 2502])).
% 4.45/3.23 tff(2505,plain,
% 4.45/3.23 (trans(s31, s32)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2504, 2501, 46])).
% 4.45/3.23 tff(2506,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2507,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s31, s32)) | (~always3(s31)) | always3(s32))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2508,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s31, s32)) | (~always3(s31)) | always3(s32)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2507, 2506])).
% 4.45/3.23 tff(2509,plain,
% 4.45/3.23 ((~always3(s31)) | always3(s32)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2508, 63, 2505])).
% 4.45/3.23 tff(2510,plain,
% 4.45/3.23 (~always3(s31)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2509, 2486])).
% 4.45/3.23 tff(2511,plain,
% 4.45/3.23 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2512,plain,
% 4.45/3.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s31) | (~node4(s31)))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2513,plain,
% 4.45/3.23 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s31) | (~node4(s31))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2512, 2511])).
% 4.45/3.23 tff(2514,plain,
% 4.45/3.23 (~node4(s31)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2513, 35, 2510])).
% 4.45/3.23 tff(2515,plain,
% 4.45/3.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s31) | node4(s31) | (~until5(s31)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2516,plain,
% 4.45/3.23 ((node4(s31) | (~until5(s31)) | xuntil6(s31)) <=> (xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2517,plain,
% 4.45/3.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s31) | node4(s31) | (~until5(s31))))),
% 4.45/3.23 inference(monotonicity,[status(thm)],[2516])).
% 4.45/3.23 tff(2518,plain,
% 4.45/3.23 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31)))),
% 4.45/3.23 inference(transitivity,[status(thm)],[2517, 2515])).
% 4.45/3.23 tff(2519,plain,
% 4.45/3.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s31) | (~until5(s31)) | xuntil6(s31))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2520,plain,
% 4.45/3.23 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s31) | node4(s31) | (~until5(s31))),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2519, 2518])).
% 4.45/3.23 tff(2521,plain,
% 4.45/3.23 (xuntil6(s31) | node4(s31)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2520, 155, 2485])).
% 4.45/3.23 tff(2522,plain,
% 4.45/3.23 (xuntil6(s31)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2521, 2514])).
% 4.45/3.23 tff(2523,plain,
% 4.45/3.23 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2524,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32))),
% 4.45/3.23 inference(quant_inst,[status(thm)],[])).
% 4.45/3.23 tff(2525,plain,
% 4.45/3.23 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s31, s32)) | (~xuntil6(s31)) | until5(s32)),
% 4.45/3.23 inference(modus_ponens,[status(thm)],[2524, 2523])).
% 4.45/3.23 tff(2526,plain,
% 4.45/3.23 ((~xuntil6(s31)) | until5(s32)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2525, 2501, 173])).
% 4.45/3.23 tff(2527,plain,
% 4.45/3.23 ($false),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2526, 2522, 2498])).
% 4.45/3.23 tff(2528,plain,(always3(s32) | (~until5(s31)) | xuntil6(s32)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.23 tff(2529,plain,
% 4.45/3.23 (always3(s32)),
% 4.45/3.23 inference(unit_resolution,[status(thm)],[2528, 2485, 2484])).
% 4.45/3.23 tff(2530,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2531,plain,
% 4.45/3.23 (((~m_main_v_state(s32, c_busy)) | (~always3(s32))) <=> ((~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 4.45/3.23 inference(rewrite,[status(thm)],[])).
% 4.45/3.23 tff(2532,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s32)) | (~m_main_v_state(s32, c_busy))))),
% 4.45/3.23 inference(monotonicity,[status(thm)],[2531])).
% 4.45/3.23 tff(2533,plain,
% 4.45/3.23 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy)))),
% 4.45/3.23 inference(transitivity,[status(thm)],[2532, 2530])).
% 4.45/3.23 tff(2534,plain,
% 4.45/3.23 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s32, c_busy)) | (~always3(s32)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2535,plain,
% 4.45/3.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s32)) | (~m_main_v_state(s32, c_busy))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2534, 2533])).
% 4.45/3.24 tff(2536,plain,
% 4.45/3.24 (~m_main_v_state(s32, c_busy)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2535, 75, 2529])).
% 4.45/3.24 tff(2537,plain,
% 4.45/3.24 (succ(s32, s33) <=> succ(s32, s33)),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2538,axiom,(succ(s32, s33)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound33')).
% 4.45/3.24 tff(2539,plain,
% 4.45/3.24 (succ(s32, s33)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 4.45/3.24 tff(2540,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2541,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s32, s33)) | trans(s32, s33))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2542,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s32, s33)) | trans(s32, s33)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2541, 2540])).
% 4.45/3.24 tff(2543,plain,
% 4.45/3.24 (trans(s32, s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2542, 2539, 46])).
% 4.45/3.24 tff(2544,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2545,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s32, s33)) | (~always3(s32)) | always3(s33))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2546,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s32, s33)) | (~always3(s32)) | always3(s33)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2545, 2544])).
% 4.45/3.24 tff(2547,plain,
% 4.45/3.24 ((~always3(s32)) | always3(s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2546, 63, 2543])).
% 4.45/3.24 tff(2548,plain,
% 4.45/3.24 (always3(s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2547, 2529])).
% 4.45/3.24 tff(2549,plain,
% 4.45/3.24 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2550,plain,
% 4.45/3.24 (((~m_main_v_state(s33, c_busy)) | (~always3(s33))) <=> ((~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2551,plain,
% 4.45/3.24 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s33)) | (~m_main_v_state(s33, c_busy))))),
% 4.45/3.24 inference(monotonicity,[status(thm)],[2550])).
% 4.45/3.24 tff(2552,plain,
% 4.45/3.24 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy)))),
% 4.45/3.24 inference(transitivity,[status(thm)],[2551, 2549])).
% 4.45/3.24 tff(2553,plain,
% 4.45/3.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s33, c_busy)) | (~always3(s33)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2554,plain,
% 4.45/3.24 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s33)) | (~m_main_v_state(s33, c_busy))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2553, 2552])).
% 4.45/3.24 tff(2555,plain,
% 4.45/3.24 (~m_main_v_state(s33, c_busy)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2554, 75, 2548])).
% 4.45/3.24 tff(2556,plain,
% 4.45/3.24 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2557,plain,
% 4.45/3.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2558,plain,
% 4.45/3.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s32, c_busy) | m_main_v_state(s32, c_ready)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2557, 2556])).
% 4.45/3.24 tff(2559,plain,
% 4.45/3.24 (m_main_v_state(s32, c_ready)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2558, 118, 2536])).
% 4.45/3.24 tff(2560,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2561,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s32, s33)) | node2(s32, s33))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2562,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s32, s33)) | node2(s32, s33)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2561, 2560])).
% 4.45/3.24 tff(2563,plain,
% 4.45/3.24 (node2(s32, s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2562, 7, 2543])).
% 4.45/3.24 tff(2564,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2565,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2566,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s32, c_ready)) | (~node2(s32, s33)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2565, 2564])).
% 4.45/3.24 tff(2567,plain,
% 4.45/3.24 ((~m_main_v_state(s32, c_ready)) | m_main_v_state(s33, c_busy) | (~m_main_v_request(s32))),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2566, 96, 2563])).
% 4.45/3.24 tff(2568,plain,
% 4.45/3.24 (~m_main_v_request(s32)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2567, 2559, 2555])).
% 4.45/3.24 tff(2569,plain,
% 4.45/3.24 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2570,plain,
% 4.45/3.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s32) | (~node4(s32)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2571,plain,
% 4.45/3.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s32) | (~node4(s32))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2570, 2569])).
% 4.45/3.24 tff(2572,plain,
% 4.45/3.24 (~node4(s32)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2571, 17, 2568])).
% 4.45/3.24 tff(2573,plain,
% 4.45/3.24 (~until5(s32)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2497, 2572])).
% 4.45/3.24 tff(2574,plain,
% 4.45/3.24 (~xuntil6(s31)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2526, 2573])).
% 4.45/3.24 tff(2575,plain,
% 4.45/3.24 (node4(s31)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2521, 2574])).
% 4.45/3.24 tff(2576,plain,
% 4.45/3.24 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2577,plain,
% 4.45/3.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s31) | (~node4(s31)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2578,plain,
% 4.45/3.24 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s31) | (~node4(s31))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2577, 2576])).
% 4.45/3.24 tff(2579,plain,
% 4.45/3.24 (m_main_v_request(s31)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2578, 17, 2575])).
% 4.45/3.24 tff(2580,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2581,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s31, s32)) | node2(s31, s32))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2582,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s31, s32)) | node2(s31, s32)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 4.45/3.24 tff(2583,plain,
% 4.45/3.24 (node2(s31, s32)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2582, 7, 2505])).
% 4.45/3.24 tff(2584,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2585,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2586,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s31, c_ready)) | (~node2(s31, s32)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2585, 2584])).
% 4.45/3.24 tff(2587,plain,
% 4.45/3.24 ((~m_main_v_state(s31, c_ready)) | m_main_v_state(s32, c_busy) | (~m_main_v_request(s31))),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2586, 96, 2583])).
% 4.45/3.24 tff(2588,plain,
% 4.45/3.24 (~m_main_v_state(s31, c_ready)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2587, 2579, 2536])).
% 4.45/3.24 tff(2589,plain,
% 4.45/3.24 (always3(s31)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2513, 35, 2575])).
% 4.45/3.24 tff(2590,plain,
% 4.45/3.24 (~m_main_v_state(s31, c_busy)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[1571, 75, 2589])).
% 4.45/3.24 tff(2591,plain,
% 4.45/3.24 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2592,plain,
% 4.45/3.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2593,plain,
% 4.45/3.24 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s31, c_busy) | m_main_v_state(s31, c_ready)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2592, 2591])).
% 4.45/3.24 tff(2594,plain,
% 4.45/3.24 ($false),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2593, 118, 2590, 2588])).
% 4.45/3.24 tff(2595,plain,((~until5(s31)) | xuntil6(s32)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.24 tff(2596,plain,
% 4.45/3.24 (xuntil6(s32)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2595, 2483])).
% 4.45/3.24 tff(2597,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2598,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2599,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s32, s33)) | (~xuntil6(s32)) | until5(s33)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2598, 2597])).
% 4.45/3.24 tff(2600,plain,
% 4.45/3.24 ((~xuntil6(s32)) | until5(s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2599, 2539, 173])).
% 4.45/3.24 tff(2601,plain,
% 4.45/3.24 (until5(s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2600, 2596])).
% 4.45/3.24 tff(2602,assumption,(until5(s33)), introduced(assumption)).
% 4.45/3.24 tff(2603,assumption,(~xuntil6(s38)), introduced(assumption)).
% 4.45/3.24 tff(2604,assumption,(~always3(s38)), introduced(assumption)).
% 4.45/3.24 tff(2605,plain,
% 4.45/3.24 (succ(s37, s38) <=> succ(s37, s38)),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2606,axiom,(succ(s37, s38)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound38')).
% 4.45/3.24 tff(2607,plain,
% 4.45/3.24 (succ(s37, s38)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2606, 2605])).
% 4.45/3.24 tff(2608,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2609,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s37, s38)) | trans(s37, s38))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2610,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s37, s38)) | trans(s37, s38)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 4.45/3.24 tff(2611,plain,
% 4.45/3.24 (trans(s37, s38)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2610, 2607, 46])).
% 4.45/3.24 tff(2612,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2613,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s37, s38)) | (~always3(s37)) | always3(s38))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2614,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s37, s38)) | (~always3(s37)) | always3(s38)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2613, 2612])).
% 4.45/3.24 tff(2615,plain,
% 4.45/3.24 ((~always3(s37)) | always3(s38)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2614, 63, 2611])).
% 4.45/3.24 tff(2616,plain,
% 4.45/3.24 (~always3(s37)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2615, 2604])).
% 4.45/3.24 tff(2617,plain,
% 4.45/3.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2618,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s38) | (~node4(s38)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2619,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s38) | (~node4(s38))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2618, 2617])).
% 4.45/3.24 tff(2620,plain,
% 4.45/3.24 (~node4(s38)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2619, 35, 2604])).
% 4.45/3.24 tff(2621,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s38) | node4(s38) | (~until5(s38)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2622,plain,
% 4.45/3.24 ((node4(s38) | (~until5(s38)) | xuntil6(s38)) <=> (xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2623,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s38) | node4(s38) | (~until5(s38))))),
% 4.45/3.24 inference(monotonicity,[status(thm)],[2622])).
% 4.45/3.24 tff(2624,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38)))),
% 4.45/3.24 inference(transitivity,[status(thm)],[2623, 2621])).
% 4.45/3.24 tff(2625,plain,
% 4.45/3.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s38) | (~until5(s38)) | xuntil6(s38))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2626,plain,
% 4.45/3.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s38) | node4(s38) | (~until5(s38))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 4.45/3.24 tff(2627,plain,
% 4.45/3.24 (node4(s38) | (~until5(s38))),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2626, 155, 2603])).
% 4.45/3.24 tff(2628,plain,
% 4.45/3.24 (~until5(s38)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2627, 2620])).
% 4.45/3.24 tff(2629,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2630,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2631,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s37, s38)) | (~xuntil6(s37)) | until5(s38)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2630, 2629])).
% 4.45/3.24 tff(2632,plain,
% 4.45/3.24 ((~xuntil6(s37)) | until5(s38)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2631, 2607, 173])).
% 4.45/3.24 tff(2633,plain,
% 4.45/3.24 (~xuntil6(s37)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2632, 2628])).
% 4.45/3.24 tff(2634,plain,
% 4.45/3.24 (succ(s36, s37) <=> succ(s36, s37)),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2635,axiom,(succ(s36, s37)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound37')).
% 4.45/3.24 tff(2636,plain,
% 4.45/3.24 (succ(s36, s37)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2635, 2634])).
% 4.45/3.24 tff(2637,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2638,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s36, s37)) | trans(s36, s37))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2639,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s36, s37)) | trans(s36, s37)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2638, 2637])).
% 4.45/3.24 tff(2640,plain,
% 4.45/3.24 (trans(s36, s37)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2639, 2636, 46])).
% 4.45/3.24 tff(2641,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2642,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s36, s37)) | (~always3(s36)) | always3(s37))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2643,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s36, s37)) | (~always3(s36)) | always3(s37)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 4.45/3.24 tff(2644,plain,
% 4.45/3.24 ((~always3(s36)) | always3(s37)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2643, 63, 2640])).
% 4.45/3.24 tff(2645,plain,
% 4.45/3.24 (~always3(s36)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2644, 2616])).
% 4.45/3.24 tff(2646,plain,
% 4.45/3.24 (succ(s35, s36) <=> succ(s35, s36)),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2647,axiom,(succ(s35, s36)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound36')).
% 4.45/3.24 tff(2648,plain,
% 4.45/3.24 (succ(s35, s36)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 4.45/3.24 tff(2649,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2650,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s35, s36)) | trans(s35, s36))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2651,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s35, s36)) | trans(s35, s36)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2650, 2649])).
% 4.45/3.24 tff(2652,plain,
% 4.45/3.24 (trans(s35, s36)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2651, 2648, 46])).
% 4.45/3.24 tff(2653,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2654,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s35, s36)) | (~always3(s35)) | always3(s36))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2655,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s35, s36)) | (~always3(s35)) | always3(s36)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2654, 2653])).
% 4.45/3.24 tff(2656,plain,
% 4.45/3.24 ((~always3(s35)) | always3(s36)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2655, 63, 2652])).
% 4.45/3.24 tff(2657,plain,
% 4.45/3.24 (~always3(s35)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2656, 2645])).
% 4.45/3.24 tff(2658,plain,
% 4.45/3.24 (succ(s34, s35) <=> succ(s34, s35)),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2659,axiom,(succ(s34, s35)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound35')).
% 4.45/3.24 tff(2660,plain,
% 4.45/3.24 (succ(s34, s35)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2659, 2658])).
% 4.45/3.24 tff(2661,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2662,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s34, s35)) | trans(s34, s35))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2663,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s34, s35)) | trans(s34, s35)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2662, 2661])).
% 4.45/3.24 tff(2664,plain,
% 4.45/3.24 (trans(s34, s35)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2663, 2660, 46])).
% 4.45/3.24 tff(2665,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2666,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s34, s35)) | (~always3(s34)) | always3(s35))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2667,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s34, s35)) | (~always3(s34)) | always3(s35)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2666, 2665])).
% 4.45/3.24 tff(2668,plain,
% 4.45/3.24 ((~always3(s34)) | always3(s35)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2667, 63, 2664])).
% 4.45/3.24 tff(2669,plain,
% 4.45/3.24 (~always3(s34)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2668, 2657])).
% 4.45/3.24 tff(2670,plain,
% 4.45/3.24 (succ(s33, s34) <=> succ(s33, s34)),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2671,axiom,(succ(s33, s34)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound34')).
% 4.45/3.24 tff(2672,plain,
% 4.45/3.24 (succ(s33, s34)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2671, 2670])).
% 4.45/3.24 tff(2673,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2674,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s33, s34)) | trans(s33, s34))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2675,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s33, s34)) | trans(s33, s34)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 4.45/3.24 tff(2676,plain,
% 4.45/3.24 (trans(s33, s34)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2675, 2672, 46])).
% 4.45/3.24 tff(2677,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2678,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s33, s34)) | (~always3(s33)) | always3(s34))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2679,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s33, s34)) | (~always3(s33)) | always3(s34)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2678, 2677])).
% 4.45/3.24 tff(2680,plain,
% 4.45/3.24 ((~always3(s33)) | always3(s34)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2679, 63, 2676])).
% 4.45/3.24 tff(2681,plain,
% 4.45/3.24 (~always3(s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2680, 2669])).
% 4.45/3.24 tff(2682,plain,
% 4.45/3.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2683,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s33) | (~node4(s33)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2684,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s33) | (~node4(s33))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2683, 2682])).
% 4.45/3.24 tff(2685,plain,
% 4.45/3.24 (~node4(s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2684, 35, 2681])).
% 4.45/3.24 tff(2686,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s33) | node4(s33) | (~until5(s33)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2687,plain,
% 4.45/3.24 ((node4(s33) | (~until5(s33)) | xuntil6(s33)) <=> (xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2688,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s33) | node4(s33) | (~until5(s33))))),
% 4.45/3.24 inference(monotonicity,[status(thm)],[2687])).
% 4.45/3.24 tff(2689,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33)))),
% 4.45/3.24 inference(transitivity,[status(thm)],[2688, 2686])).
% 4.45/3.24 tff(2690,plain,
% 4.45/3.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s33) | (~until5(s33)) | xuntil6(s33))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2691,plain,
% 4.45/3.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s33) | node4(s33) | (~until5(s33))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2690, 2689])).
% 4.45/3.24 tff(2692,plain,
% 4.45/3.24 (xuntil6(s33) | node4(s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2691, 155, 2602])).
% 4.45/3.24 tff(2693,plain,
% 4.45/3.24 (xuntil6(s33)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2692, 2685])).
% 4.45/3.24 tff(2694,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2695,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2696,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s33, s34)) | (~xuntil6(s33)) | until5(s34)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2695, 2694])).
% 4.45/3.24 tff(2697,plain,
% 4.45/3.24 ((~xuntil6(s33)) | until5(s34)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2696, 2672, 173])).
% 4.45/3.24 tff(2698,plain,
% 4.45/3.24 (until5(s34)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2697, 2693])).
% 4.45/3.24 tff(2699,assumption,(~always3(s37)), introduced(assumption)).
% 4.45/3.24 tff(2700,plain,
% 4.45/3.24 (~always3(s36)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2644, 2699])).
% 4.45/3.24 tff(2701,plain,
% 4.45/3.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2702,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s36) | (~node4(s36)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2703,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s36) | (~node4(s36))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 4.45/3.24 tff(2704,plain,
% 4.45/3.24 (~node4(s36)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2703, 35, 2700])).
% 4.45/3.24 tff(2705,plain,
% 4.45/3.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2706,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s37) | (~node4(s37)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2707,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s37) | (~node4(s37))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 4.45/3.24 tff(2708,plain,
% 4.45/3.24 (~node4(s37)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2707, 35, 2699])).
% 4.45/3.24 tff(2709,assumption,(~xuntil6(s37)), introduced(assumption)).
% 4.45/3.24 tff(2710,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s37) | node4(s37) | (~until5(s37)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2711,plain,
% 4.45/3.24 ((node4(s37) | (~until5(s37)) | xuntil6(s37)) <=> (xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2712,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s37) | node4(s37) | (~until5(s37))))),
% 4.45/3.24 inference(monotonicity,[status(thm)],[2711])).
% 4.45/3.24 tff(2713,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37)))),
% 4.45/3.24 inference(transitivity,[status(thm)],[2712, 2710])).
% 4.45/3.24 tff(2714,plain,
% 4.45/3.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s37) | (~until5(s37)) | xuntil6(s37))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2715,plain,
% 4.45/3.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s37) | node4(s37) | (~until5(s37))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 4.45/3.24 tff(2716,plain,
% 4.45/3.24 (node4(s37) | (~until5(s37))),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2715, 155, 2709])).
% 4.45/3.24 tff(2717,plain,
% 4.45/3.24 (~until5(s37)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2716, 2708])).
% 4.45/3.24 tff(2718,plain,
% 4.45/3.24 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2719,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2720,plain,
% 4.45/3.24 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s36, s37)) | (~xuntil6(s36)) | until5(s37)),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2719, 2718])).
% 4.45/3.24 tff(2721,plain,
% 4.45/3.24 ((~xuntil6(s36)) | until5(s37)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2720, 2636, 173])).
% 4.45/3.24 tff(2722,plain,
% 4.45/3.24 (~xuntil6(s36)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2721, 2717])).
% 4.45/3.24 tff(2723,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s36) | node4(s36) | (~until5(s36)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2724,plain,
% 4.45/3.24 ((node4(s36) | (~until5(s36)) | xuntil6(s36)) <=> (xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2725,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s36) | node4(s36) | (~until5(s36))))),
% 4.45/3.24 inference(monotonicity,[status(thm)],[2724])).
% 4.45/3.24 tff(2726,plain,
% 4.45/3.24 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36)))),
% 4.45/3.24 inference(transitivity,[status(thm)],[2725, 2723])).
% 4.45/3.24 tff(2727,plain,
% 4.45/3.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s36) | (~until5(s36)) | xuntil6(s36))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2728,plain,
% 4.45/3.24 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s36) | node4(s36) | (~until5(s36))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 4.45/3.24 tff(2729,plain,
% 4.45/3.24 (~until5(s36)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2728, 155, 2722, 2704])).
% 4.45/3.24 tff(2730,plain,
% 4.45/3.24 (~always3(s35)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2656, 2700])).
% 4.45/3.24 tff(2731,plain,
% 4.45/3.24 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35)))),
% 4.45/3.24 inference(rewrite,[status(thm)],[])).
% 4.45/3.24 tff(2732,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s35) | (~node4(s35)))),
% 4.45/3.24 inference(quant_inst,[status(thm)],[])).
% 4.45/3.24 tff(2733,plain,
% 4.45/3.24 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s35) | (~node4(s35))),
% 4.45/3.24 inference(modus_ponens,[status(thm)],[2732, 2731])).
% 4.45/3.24 tff(2734,plain,
% 4.45/3.24 (~node4(s35)),
% 4.45/3.24 inference(unit_resolution,[status(thm)],[2733, 35, 2730])).
% 4.45/3.25 tff(2735,plain,
% 4.45/3.25 (~always3(s34)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2668, 2730])).
% 4.45/3.25 tff(2736,plain,
% 4.45/3.25 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2737,plain,
% 4.45/3.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s34) | (~node4(s34)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2738,plain,
% 4.45/3.25 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s34) | (~node4(s34))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2737, 2736])).
% 4.45/3.25 tff(2739,plain,
% 4.45/3.25 (~node4(s34)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2738, 35, 2735])).
% 4.45/3.25 tff(2740,assumption,(until5(s34)), introduced(assumption)).
% 4.45/3.25 tff(2741,plain,
% 4.45/3.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s34) | node4(s34) | (~until5(s34)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2742,plain,
% 4.45/3.25 ((node4(s34) | (~until5(s34)) | xuntil6(s34)) <=> (xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2743,plain,
% 4.45/3.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s34) | node4(s34) | (~until5(s34))))),
% 4.45/3.25 inference(monotonicity,[status(thm)],[2742])).
% 4.45/3.25 tff(2744,plain,
% 4.45/3.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34)))),
% 4.45/3.25 inference(transitivity,[status(thm)],[2743, 2741])).
% 4.45/3.25 tff(2745,plain,
% 4.45/3.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s34) | (~until5(s34)) | xuntil6(s34))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2746,plain,
% 4.45/3.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s34) | node4(s34) | (~until5(s34))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 4.45/3.25 tff(2747,plain,
% 4.45/3.25 (xuntil6(s34) | node4(s34)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2746, 155, 2740])).
% 4.45/3.25 tff(2748,plain,
% 4.45/3.25 (xuntil6(s34)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2747, 2739])).
% 4.45/3.25 tff(2749,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2750,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2751,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s34, s35)) | (~xuntil6(s34)) | until5(s35)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2750, 2749])).
% 4.45/3.25 tff(2752,plain,
% 4.45/3.25 ((~xuntil6(s34)) | until5(s35)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2751, 2660, 173])).
% 4.45/3.25 tff(2753,plain,
% 4.45/3.25 (until5(s35)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2752, 2748])).
% 4.45/3.25 tff(2754,plain,
% 4.45/3.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s35) | node4(s35) | (~until5(s35)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2755,plain,
% 4.45/3.25 ((node4(s35) | (~until5(s35)) | xuntil6(s35)) <=> (xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2756,plain,
% 4.45/3.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s35) | node4(s35) | (~until5(s35))))),
% 4.45/3.25 inference(monotonicity,[status(thm)],[2755])).
% 4.45/3.25 tff(2757,plain,
% 4.45/3.25 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35)))),
% 4.45/3.25 inference(transitivity,[status(thm)],[2756, 2754])).
% 4.45/3.25 tff(2758,plain,
% 4.45/3.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s35) | (~until5(s35)) | xuntil6(s35))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2759,plain,
% 4.45/3.25 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s35) | node4(s35) | (~until5(s35))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 4.45/3.25 tff(2760,plain,
% 4.45/3.25 (xuntil6(s35)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2759, 155, 2753, 2734])).
% 4.45/3.25 tff(2761,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2762,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2763,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s35, s36)) | (~xuntil6(s35)) | until5(s36)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2762, 2761])).
% 4.45/3.25 tff(2764,plain,
% 4.45/3.25 ((~xuntil6(s35)) | until5(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2763, 2648, 173])).
% 4.45/3.25 tff(2765,plain,
% 4.45/3.25 ($false),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2764, 2760, 2729])).
% 4.45/3.25 tff(2766,plain,(always3(s37) | (~until5(s34)) | xuntil6(s37)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.25 tff(2767,plain,
% 4.45/3.25 ($false),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2766, 2698, 2633, 2616])).
% 4.45/3.25 tff(2768,plain,(always3(s38) | (~until5(s33)) | xuntil6(s38)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.25 tff(2769,plain,
% 4.45/3.25 (always3(s38)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2768, 2603, 2602])).
% 4.45/3.25 tff(2770,plain,
% 4.45/3.25 (succ(s38, s39) <=> succ(s38, s39)),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2771,axiom,(succ(s38, s39)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound39')).
% 4.45/3.25 tff(2772,plain,
% 4.45/3.25 (succ(s38, s39)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2771, 2770])).
% 4.45/3.25 tff(2773,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2774,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s38, s39)) | trans(s38, s39))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2775,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s38, s39)) | trans(s38, s39)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2774, 2773])).
% 4.45/3.25 tff(2776,plain,
% 4.45/3.25 (trans(s38, s39)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2775, 2772, 46])).
% 4.45/3.25 tff(2777,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2778,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s38, s39)) | (~always3(s38)) | always3(s39))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2779,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s38, s39)) | (~always3(s38)) | always3(s39)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 4.45/3.25 tff(2780,plain,
% 4.45/3.25 ((~always3(s38)) | always3(s39)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2779, 63, 2776])).
% 4.45/3.25 tff(2781,plain,
% 4.45/3.25 (always3(s39)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2780, 2769])).
% 4.45/3.25 tff(2782,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2783,plain,
% 4.45/3.25 (((~m_main_v_state(s39, c_busy)) | (~always3(s39))) <=> ((~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2784,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s39)) | (~m_main_v_state(s39, c_busy))))),
% 4.45/3.25 inference(monotonicity,[status(thm)],[2783])).
% 4.45/3.25 tff(2785,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy)))),
% 4.45/3.25 inference(transitivity,[status(thm)],[2784, 2782])).
% 4.45/3.25 tff(2786,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s39, c_busy)) | (~always3(s39)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2787,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s39)) | (~m_main_v_state(s39, c_busy))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2786, 2785])).
% 4.45/3.25 tff(2788,plain,
% 4.45/3.25 (~m_main_v_state(s39, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2787, 75, 2781])).
% 4.45/3.25 tff(2789,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2790,plain,
% 4.45/3.25 (((~m_main_v_state(s38, c_busy)) | (~always3(s38))) <=> ((~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2791,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s38)) | (~m_main_v_state(s38, c_busy))))),
% 4.45/3.25 inference(monotonicity,[status(thm)],[2790])).
% 4.45/3.25 tff(2792,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy)))),
% 4.45/3.25 inference(transitivity,[status(thm)],[2791, 2789])).
% 4.45/3.25 tff(2793,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s38, c_busy)) | (~always3(s38)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2794,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s38)) | (~m_main_v_state(s38, c_busy))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2793, 2792])).
% 4.45/3.25 tff(2795,plain,
% 4.45/3.25 (~m_main_v_state(s38, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2794, 75, 2769])).
% 4.45/3.25 tff(2796,plain,
% 4.45/3.25 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2797,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2798,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s38, c_busy) | m_main_v_state(s38, c_ready)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2797, 2796])).
% 4.45/3.25 tff(2799,plain,
% 4.45/3.25 (m_main_v_state(s38, c_ready)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2798, 118, 2795])).
% 4.45/3.25 tff(2800,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2801,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s38, s39)) | node2(s38, s39))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2802,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s38, s39)) | node2(s38, s39)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 4.45/3.25 tff(2803,plain,
% 4.45/3.25 (node2(s38, s39)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2802, 7, 2776])).
% 4.45/3.25 tff(2804,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2805,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2806,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s38, c_ready)) | (~node2(s38, s39)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2805, 2804])).
% 4.45/3.25 tff(2807,plain,
% 4.45/3.25 ((~m_main_v_state(s38, c_ready)) | m_main_v_state(s39, c_busy) | (~m_main_v_request(s38))),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2806, 96, 2803])).
% 4.45/3.25 tff(2808,plain,
% 4.45/3.25 (~m_main_v_request(s38)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2807, 2799, 2788])).
% 4.45/3.25 tff(2809,plain,
% 4.45/3.25 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2810,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s38) | (~node4(s38)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2811,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s38) | (~node4(s38))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2810, 2809])).
% 4.45/3.25 tff(2812,plain,
% 4.45/3.25 (~node4(s38)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2811, 17, 2808])).
% 4.45/3.25 tff(2813,plain,
% 4.45/3.25 (~until5(s38)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2627, 2812])).
% 4.45/3.25 tff(2814,plain,
% 4.45/3.25 (~xuntil6(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2632, 2813])).
% 4.45/3.25 tff(2815,assumption,(~always3(s34)), introduced(assumption)).
% 4.45/3.25 tff(2816,plain,
% 4.45/3.25 (~always3(s33)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2680, 2815])).
% 4.45/3.25 tff(2817,plain,
% 4.45/3.25 (~node4(s33)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2684, 35, 2816])).
% 4.45/3.25 tff(2818,plain,
% 4.45/3.25 (xuntil6(s33)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2692, 2817])).
% 4.45/3.25 tff(2819,plain,
% 4.45/3.25 (until5(s34)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2697, 2818])).
% 4.45/3.25 tff(2820,plain,
% 4.45/3.25 (always3(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2766, 2819, 2709])).
% 4.45/3.25 tff(2821,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2822,plain,
% 4.45/3.25 (((~m_main_v_state(s37, c_busy)) | (~always3(s37))) <=> ((~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2823,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s37)) | (~m_main_v_state(s37, c_busy))))),
% 4.45/3.25 inference(monotonicity,[status(thm)],[2822])).
% 4.45/3.25 tff(2824,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy)))),
% 4.45/3.25 inference(transitivity,[status(thm)],[2823, 2821])).
% 4.45/3.25 tff(2825,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s37, c_busy)) | (~always3(s37)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2826,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s37)) | (~m_main_v_state(s37, c_busy))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2825, 2824])).
% 4.45/3.25 tff(2827,plain,
% 4.45/3.25 (~m_main_v_state(s37, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2826, 75, 2820])).
% 4.45/3.25 tff(2828,plain,
% 4.45/3.25 (~node4(s34)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2738, 35, 2815])).
% 4.45/3.25 tff(2829,plain,
% 4.45/3.25 (xuntil6(s34)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2746, 155, 2819, 2828])).
% 4.45/3.25 tff(2830,plain,
% 4.45/3.25 (until5(s35)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2752, 2829])).
% 4.45/3.25 tff(2831,assumption,(node4(s35)), introduced(assumption)).
% 4.45/3.25 tff(2832,plain,
% 4.45/3.25 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2833,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s35) | (~node4(s35)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2834,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s35) | (~node4(s35))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2833, 2832])).
% 4.45/3.25 tff(2835,plain,
% 4.45/3.25 (m_main_v_request(s35)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2834, 17, 2831])).
% 4.45/3.25 tff(2836,plain,
% 4.45/3.25 (always3(s35)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2733, 35, 2831])).
% 4.45/3.25 tff(2837,plain,
% 4.45/3.25 (always3(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2656, 2836])).
% 4.45/3.25 tff(2838,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2839,plain,
% 4.45/3.25 (((~m_main_v_state(s36, c_busy)) | (~always3(s36))) <=> ((~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2840,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s36)) | (~m_main_v_state(s36, c_busy))))),
% 4.45/3.25 inference(monotonicity,[status(thm)],[2839])).
% 4.45/3.25 tff(2841,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy)))),
% 4.45/3.25 inference(transitivity,[status(thm)],[2840, 2838])).
% 4.45/3.25 tff(2842,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s36, c_busy)) | (~always3(s36)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2843,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s36)) | (~m_main_v_state(s36, c_busy))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2842, 2841])).
% 4.45/3.25 tff(2844,plain,
% 4.45/3.25 (~m_main_v_state(s36, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2843, 75, 2837])).
% 4.45/3.25 tff(2845,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2846,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s35, s36)) | node2(s35, s36))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2847,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s35, s36)) | node2(s35, s36)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2846, 2845])).
% 4.45/3.25 tff(2848,plain,
% 4.45/3.25 (node2(s35, s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2847, 7, 2652])).
% 4.45/3.25 tff(2849,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2850,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2851,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s35, c_ready)) | (~node2(s35, s36)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2850, 2849])).
% 4.45/3.25 tff(2852,plain,
% 4.45/3.25 ((~m_main_v_state(s35, c_ready)) | m_main_v_state(s36, c_busy) | (~m_main_v_request(s35))),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2851, 96, 2848])).
% 4.45/3.25 tff(2853,plain,
% 4.45/3.25 (~m_main_v_state(s35, c_ready)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2852, 2844, 2835])).
% 4.45/3.25 tff(2854,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2855,plain,
% 4.45/3.25 (((~m_main_v_state(s35, c_busy)) | (~always3(s35))) <=> ((~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2856,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s35)) | (~m_main_v_state(s35, c_busy))))),
% 4.45/3.25 inference(monotonicity,[status(thm)],[2855])).
% 4.45/3.25 tff(2857,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy)))),
% 4.45/3.25 inference(transitivity,[status(thm)],[2856, 2854])).
% 4.45/3.25 tff(2858,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s35, c_busy)) | (~always3(s35)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2859,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s35)) | (~m_main_v_state(s35, c_busy))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2858, 2857])).
% 4.45/3.25 tff(2860,plain,
% 4.45/3.25 (~m_main_v_state(s35, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2859, 75, 2836])).
% 4.45/3.25 tff(2861,plain,
% 4.45/3.25 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2862,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2863,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s35, c_busy) | m_main_v_state(s35, c_ready)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2862, 2861])).
% 4.45/3.25 tff(2864,plain,
% 4.45/3.25 ($false),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2863, 118, 2860, 2853])).
% 4.45/3.25 tff(2865,plain,(~node4(s35)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.25 tff(2866,plain,
% 4.45/3.25 (xuntil6(s35) | (~until5(s35))),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2759, 155, 2865])).
% 4.45/3.25 tff(2867,plain,
% 4.45/3.25 (xuntil6(s35)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2866, 2830])).
% 4.45/3.25 tff(2868,plain,
% 4.45/3.25 (until5(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2764, 2867])).
% 4.45/3.25 tff(2869,plain,
% 4.45/3.25 (always3(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2766, 2709, 2740])).
% 4.45/3.25 tff(2870,plain,
% 4.45/3.25 (always3(s38)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2615, 2869])).
% 4.45/3.25 tff(2871,plain,
% 4.45/3.25 (~m_main_v_state(s38, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2794, 75, 2870])).
% 4.45/3.25 tff(2872,assumption,(until5(s37)), introduced(assumption)).
% 4.45/3.25 tff(2873,plain,
% 4.45/3.25 (xuntil6(s37) | node4(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2715, 155, 2872])).
% 4.45/3.25 tff(2874,plain,
% 4.45/3.25 (node4(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2873, 2709])).
% 4.45/3.25 tff(2875,plain,
% 4.45/3.25 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2876,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s37) | (~node4(s37)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2877,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s37) | (~node4(s37))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 4.45/3.25 tff(2878,plain,
% 4.45/3.25 (m_main_v_request(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2877, 17, 2874])).
% 4.45/3.25 tff(2879,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2880,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s37, s38)) | node2(s37, s38))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2881,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s37, s38)) | node2(s37, s38)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2880, 2879])).
% 4.45/3.25 tff(2882,plain,
% 4.45/3.25 (node2(s37, s38)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2881, 7, 2611])).
% 4.45/3.25 tff(2883,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2884,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2885,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s37, c_ready)) | (~node2(s37, s38)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2884, 2883])).
% 4.45/3.25 tff(2886,plain,
% 4.45/3.25 ((~m_main_v_state(s37, c_ready)) | m_main_v_state(s38, c_busy) | (~m_main_v_request(s37))),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2885, 96, 2882])).
% 4.45/3.25 tff(2887,plain,
% 4.45/3.25 (~m_main_v_state(s37, c_ready)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2886, 2878, 2871])).
% 4.45/3.25 tff(2888,plain,
% 4.45/3.25 (~m_main_v_state(s37, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2826, 75, 2869])).
% 4.45/3.25 tff(2889,plain,
% 4.45/3.25 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2890,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2891,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s37, c_busy) | m_main_v_state(s37, c_ready)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 4.45/3.25 tff(2892,plain,
% 4.45/3.25 ($false),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2891, 118, 2888, 2887])).
% 4.45/3.25 tff(2893,plain,(xuntil6(s37) | (~until5(s37)) | (~until5(s34))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.25 tff(2894,plain,
% 4.45/3.25 (~until5(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2893, 2819, 2709])).
% 4.45/3.25 tff(2895,plain,
% 4.45/3.25 (~xuntil6(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2721, 2894])).
% 4.45/3.25 tff(2896,plain,
% 4.45/3.25 (node4(s36) | (~until5(s36))),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2728, 155, 2895])).
% 4.45/3.25 tff(2897,plain,
% 4.45/3.25 (node4(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2896, 2868])).
% 4.45/3.25 tff(2898,plain,
% 4.45/3.25 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2899,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s36) | (~node4(s36)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2900,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s36) | (~node4(s36))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2899, 2898])).
% 4.45/3.25 tff(2901,plain,
% 4.45/3.25 (m_main_v_request(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2900, 17, 2897])).
% 4.45/3.25 tff(2902,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2903,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s36, s37)) | node2(s36, s37))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2904,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s36, s37)) | node2(s36, s37)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2903, 2902])).
% 4.45/3.25 tff(2905,plain,
% 4.45/3.25 (node2(s36, s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2904, 7, 2640])).
% 4.45/3.25 tff(2906,plain,
% 4.45/3.25 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2907,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2908,plain,
% 4.45/3.25 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s36, c_ready)) | (~node2(s36, s37)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2907, 2906])).
% 4.45/3.25 tff(2909,plain,
% 4.45/3.25 ((~m_main_v_state(s36, c_ready)) | m_main_v_state(s37, c_busy) | (~m_main_v_request(s36))),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2908, 96, 2905])).
% 4.45/3.25 tff(2910,plain,
% 4.45/3.25 (~m_main_v_state(s36, c_ready)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2909, 2901, 2827])).
% 4.45/3.25 tff(2911,plain,
% 4.45/3.25 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2912,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2913,plain,
% 4.45/3.25 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s36, c_busy) | m_main_v_state(s36, c_ready)),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2912, 2911])).
% 4.45/3.25 tff(2914,plain,
% 4.45/3.25 (m_main_v_state(s36, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2913, 118, 2910])).
% 4.45/3.25 tff(2915,plain,
% 4.45/3.25 (always3(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2703, 35, 2897])).
% 4.45/3.25 tff(2916,plain,
% 4.45/3.25 ($false),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2843, 75, 2915, 2914])).
% 4.45/3.25 tff(2917,plain,(always3(s34) | xuntil6(s37) | (~until5(s33))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.25 tff(2918,plain,
% 4.45/3.25 (always3(s34)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2917, 2814, 2602])).
% 4.45/3.25 tff(2919,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2920,plain,
% 4.45/3.25 (((~m_main_v_state(s34, c_busy)) | (~always3(s34))) <=> ((~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 4.45/3.25 inference(rewrite,[status(thm)],[])).
% 4.45/3.25 tff(2921,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s34)) | (~m_main_v_state(s34, c_busy))))),
% 4.45/3.25 inference(monotonicity,[status(thm)],[2920])).
% 4.45/3.25 tff(2922,plain,
% 4.45/3.25 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy)))),
% 4.45/3.25 inference(transitivity,[status(thm)],[2921, 2919])).
% 4.45/3.25 tff(2923,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s34, c_busy)) | (~always3(s34)))),
% 4.45/3.25 inference(quant_inst,[status(thm)],[])).
% 4.45/3.25 tff(2924,plain,
% 4.45/3.25 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s34)) | (~m_main_v_state(s34, c_busy))),
% 4.45/3.25 inference(modus_ponens,[status(thm)],[2923, 2922])).
% 4.45/3.25 tff(2925,plain,
% 4.45/3.25 (~m_main_v_state(s34, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2924, 75, 2918])).
% 4.45/3.25 tff(2926,plain,
% 4.45/3.25 (always3(s35)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2668, 2918])).
% 4.45/3.25 tff(2927,plain,
% 4.45/3.25 (always3(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2656, 2926])).
% 4.45/3.25 tff(2928,plain,
% 4.45/3.25 (always3(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2644, 2927])).
% 4.45/3.25 tff(2929,plain,
% 4.45/3.25 (~m_main_v_state(s37, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2826, 75, 2928])).
% 4.45/3.25 tff(2930,plain,
% 4.45/3.25 (~m_main_v_state(s36, c_busy)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2843, 75, 2927])).
% 4.45/3.25 tff(2931,plain,
% 4.45/3.25 (m_main_v_state(s36, c_ready)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2913, 118, 2930])).
% 4.45/3.25 tff(2932,plain,
% 4.45/3.25 (~m_main_v_request(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2909, 2931, 2929])).
% 4.45/3.25 tff(2933,plain,
% 4.45/3.25 (~node4(s36)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2900, 17, 2932])).
% 4.45/3.25 tff(2934,plain,
% 4.45/3.25 (m_main_v_state(s37, c_ready)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2891, 118, 2929])).
% 4.45/3.25 tff(2935,plain,
% 4.45/3.25 (~m_main_v_request(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2886, 2934, 2795])).
% 4.45/3.25 tff(2936,plain,
% 4.45/3.25 (~node4(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2877, 17, 2935])).
% 4.45/3.25 tff(2937,plain,
% 4.45/3.25 (node4(s37) | (~until5(s37))),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2715, 155, 2814])).
% 4.45/3.25 tff(2938,plain,
% 4.45/3.25 (~until5(s37)),
% 4.45/3.25 inference(unit_resolution,[status(thm)],[2937, 2936])).
% 4.45/3.26 tff(2939,plain,
% 4.45/3.26 (~xuntil6(s36)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2721, 2938])).
% 4.45/3.26 tff(2940,plain,
% 4.45/3.26 (~until5(s36)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2728, 155, 2939, 2933])).
% 4.45/3.26 tff(2941,plain,
% 4.45/3.26 (~xuntil6(s35)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2764, 2940])).
% 4.45/3.26 tff(2942,plain,
% 4.45/3.26 (~until5(s35)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2866, 2941])).
% 4.45/3.26 tff(2943,plain,
% 4.45/3.26 (~xuntil6(s34)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2752, 2942])).
% 4.45/3.26 tff(2944,plain,
% 4.45/3.26 (~m_main_v_state(s35, c_busy)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2859, 75, 2926])).
% 4.45/3.26 tff(2945,plain,
% 4.45/3.26 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2946,plain,
% 4.45/3.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2947,plain,
% 4.45/3.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s34, c_busy) | m_main_v_state(s34, c_ready)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2946, 2945])).
% 4.45/3.26 tff(2948,plain,
% 4.45/3.26 (m_main_v_state(s34, c_ready)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2947, 118, 2925])).
% 4.45/3.26 tff(2949,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2950,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s34, s35)) | node2(s34, s35))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2951,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s34, s35)) | node2(s34, s35)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2950, 2949])).
% 4.45/3.26 tff(2952,plain,
% 4.45/3.26 (node2(s34, s35)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2951, 7, 2664])).
% 4.45/3.26 tff(2953,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2954,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34)))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2955,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s34, c_ready)) | (~node2(s34, s35)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2954, 2953])).
% 4.45/3.26 tff(2956,plain,
% 4.45/3.26 ((~m_main_v_state(s34, c_ready)) | m_main_v_state(s35, c_busy) | (~m_main_v_request(s34))),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2955, 96, 2952])).
% 4.45/3.26 tff(2957,plain,
% 4.45/3.26 (~m_main_v_request(s34)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2956, 2948, 2944])).
% 4.45/3.26 tff(2958,plain,
% 4.45/3.26 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2959,plain,
% 4.45/3.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s34) | (~node4(s34)))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2960,plain,
% 4.45/3.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s34) | (~node4(s34))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2959, 2958])).
% 4.45/3.26 tff(2961,plain,
% 4.45/3.26 (~node4(s34)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2960, 17, 2957])).
% 4.45/3.26 tff(2962,plain,
% 4.45/3.26 (xuntil6(s34) | (~until5(s34))),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2746, 155, 2961])).
% 4.45/3.26 tff(2963,plain,
% 4.45/3.26 (~until5(s34)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2962, 2943])).
% 4.45/3.26 tff(2964,plain,
% 4.45/3.26 (~xuntil6(s33)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2697, 2963])).
% 4.45/3.26 tff(2965,plain,
% 4.45/3.26 (node4(s33)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2692, 2964])).
% 4.45/3.26 tff(2966,plain,
% 4.45/3.26 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2967,plain,
% 4.45/3.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s33) | (~node4(s33)))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2968,plain,
% 4.45/3.26 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s33) | (~node4(s33))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2967, 2966])).
% 4.45/3.26 tff(2969,plain,
% 4.45/3.26 (m_main_v_request(s33)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2968, 17, 2965])).
% 4.45/3.26 tff(2970,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2971,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s33, s34)) | node2(s33, s34))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2972,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s33, s34)) | node2(s33, s34)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2971, 2970])).
% 4.45/3.26 tff(2973,plain,
% 4.45/3.26 (node2(s33, s34)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2972, 7, 2676])).
% 4.45/3.26 tff(2974,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2975,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33)))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2976,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s33, c_ready)) | (~node2(s33, s34)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2975, 2974])).
% 4.45/3.26 tff(2977,plain,
% 4.45/3.26 ((~m_main_v_state(s33, c_ready)) | m_main_v_state(s34, c_busy) | (~m_main_v_request(s33))),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2976, 96, 2973])).
% 4.45/3.26 tff(2978,plain,
% 4.45/3.26 (~m_main_v_state(s33, c_ready)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2977, 2969, 2925])).
% 4.45/3.26 tff(2979,plain,
% 4.45/3.26 (always3(s33)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2684, 35, 2965])).
% 4.45/3.26 tff(2980,plain,
% 4.45/3.26 (~m_main_v_state(s33, c_busy)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2554, 75, 2979])).
% 4.45/3.26 tff(2981,plain,
% 4.45/3.26 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2982,plain,
% 4.45/3.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2983,plain,
% 4.45/3.26 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s33, c_busy) | m_main_v_state(s33, c_ready)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2982, 2981])).
% 4.45/3.26 tff(2984,plain,
% 4.45/3.26 ($false),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2983, 118, 2980, 2978])).
% 4.45/3.26 tff(2985,plain,(xuntil6(s38) | (~until5(s33))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.26 tff(2986,plain,
% 4.45/3.26 (xuntil6(s38)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2985, 2601])).
% 4.45/3.26 tff(2987,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2988,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2989,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s38, s39)) | (~xuntil6(s38)) | until5(s39)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2988, 2987])).
% 4.45/3.26 tff(2990,plain,
% 4.45/3.26 ((~xuntil6(s38)) | until5(s39)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2989, 2772, 173])).
% 4.45/3.26 tff(2991,plain,
% 4.45/3.26 (until5(s39)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2990, 2986])).
% 4.45/3.26 tff(2992,assumption,(~xuntil6(s46)), introduced(assumption)).
% 4.45/3.26 tff(2993,assumption,(~always3(s46)), introduced(assumption)).
% 4.45/3.26 tff(2994,plain,
% 4.45/3.26 (succ(s45, s46) <=> succ(s45, s46)),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2995,axiom,(succ(s45, s46)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound46')).
% 4.45/3.26 tff(2996,plain,
% 4.45/3.26 (succ(s45, s46)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2995, 2994])).
% 4.45/3.26 tff(2997,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(2998,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s45, s46)) | trans(s45, s46))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(2999,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s45, s46)) | trans(s45, s46)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[2998, 2997])).
% 4.45/3.26 tff(3000,plain,
% 4.45/3.26 (trans(s45, s46)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2999, 2996, 46])).
% 4.45/3.26 tff(3001,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3002,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s45, s46)) | (~always3(s45)) | always3(s46))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3003,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s45, s46)) | (~always3(s45)) | always3(s46)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3002, 3001])).
% 4.45/3.26 tff(3004,plain,
% 4.45/3.26 ((~always3(s45)) | always3(s46)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3003, 63, 3000])).
% 4.45/3.26 tff(3005,plain,
% 4.45/3.26 (~always3(s45)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3004, 2993])).
% 4.45/3.26 tff(3006,plain,
% 4.45/3.26 (succ(s44, s45) <=> succ(s44, s45)),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3007,axiom,(succ(s44, s45)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound45')).
% 4.45/3.26 tff(3008,plain,
% 4.45/3.26 (succ(s44, s45)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 4.45/3.26 tff(3009,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3010,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s44, s45)) | trans(s44, s45))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3011,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s44, s45)) | trans(s44, s45)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3010, 3009])).
% 4.45/3.26 tff(3012,plain,
% 4.45/3.26 (trans(s44, s45)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3011, 3008, 46])).
% 4.45/3.26 tff(3013,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3014,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s44, s45)) | (~always3(s44)) | always3(s45))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3015,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s44, s45)) | (~always3(s44)) | always3(s45)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3014, 3013])).
% 4.45/3.26 tff(3016,plain,
% 4.45/3.26 ((~always3(s44)) | always3(s45)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3015, 63, 3012])).
% 4.45/3.26 tff(3017,plain,
% 4.45/3.26 (~always3(s44)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3016, 3005])).
% 4.45/3.26 tff(3018,plain,
% 4.45/3.26 (succ(s43, s44) <=> succ(s43, s44)),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3019,axiom,(succ(s43, s44)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound44')).
% 4.45/3.26 tff(3020,plain,
% 4.45/3.26 (succ(s43, s44)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3019, 3018])).
% 4.45/3.26 tff(3021,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3022,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s43, s44)) | trans(s43, s44))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3023,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s43, s44)) | trans(s43, s44)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3022, 3021])).
% 4.45/3.26 tff(3024,plain,
% 4.45/3.26 (trans(s43, s44)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3023, 3020, 46])).
% 4.45/3.26 tff(3025,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3026,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s43, s44)) | (~always3(s43)) | always3(s44))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3027,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s43, s44)) | (~always3(s43)) | always3(s44)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3026, 3025])).
% 4.45/3.26 tff(3028,plain,
% 4.45/3.26 ((~always3(s43)) | always3(s44)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3027, 63, 3024])).
% 4.45/3.26 tff(3029,plain,
% 4.45/3.26 (~always3(s43)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3028, 3017])).
% 4.45/3.26 tff(3030,plain,
% 4.45/3.26 (succ(s42, s43) <=> succ(s42, s43)),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3031,axiom,(succ(s42, s43)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound43')).
% 4.45/3.26 tff(3032,plain,
% 4.45/3.26 (succ(s42, s43)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3031, 3030])).
% 4.45/3.26 tff(3033,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3034,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s42, s43)) | trans(s42, s43))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3035,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s42, s43)) | trans(s42, s43)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 4.45/3.26 tff(3036,plain,
% 4.45/3.26 (trans(s42, s43)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3035, 3032, 46])).
% 4.45/3.26 tff(3037,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3038,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s42, s43)) | (~always3(s42)) | always3(s43))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3039,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s42, s43)) | (~always3(s42)) | always3(s43)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3038, 3037])).
% 4.45/3.26 tff(3040,plain,
% 4.45/3.26 ((~always3(s42)) | always3(s43)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3039, 63, 3036])).
% 4.45/3.26 tff(3041,plain,
% 4.45/3.26 (~always3(s42)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3040, 3029])).
% 4.45/3.26 tff(3042,plain,
% 4.45/3.26 (succ(s41, s42) <=> succ(s41, s42)),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3043,axiom,(succ(s41, s42)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound42')).
% 4.45/3.26 tff(3044,plain,
% 4.45/3.26 (succ(s41, s42)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3043, 3042])).
% 4.45/3.26 tff(3045,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3046,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s41, s42)) | trans(s41, s42))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3047,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s41, s42)) | trans(s41, s42)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 4.45/3.26 tff(3048,plain,
% 4.45/3.26 (trans(s41, s42)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3047, 3044, 46])).
% 4.45/3.26 tff(3049,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3050,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s41, s42)) | (~always3(s41)) | always3(s42))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3051,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s41, s42)) | (~always3(s41)) | always3(s42)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3050, 3049])).
% 4.45/3.26 tff(3052,plain,
% 4.45/3.26 ((~always3(s41)) | always3(s42)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3051, 63, 3048])).
% 4.45/3.26 tff(3053,plain,
% 4.45/3.26 (~always3(s41)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3052, 3041])).
% 4.45/3.26 tff(3054,plain,
% 4.45/3.26 (succ(s40, s41) <=> succ(s40, s41)),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3055,axiom,(succ(s40, s41)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound41')).
% 4.45/3.26 tff(3056,plain,
% 4.45/3.26 (succ(s40, s41)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3055, 3054])).
% 4.45/3.26 tff(3057,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3058,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s40, s41)) | trans(s40, s41))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3059,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s40, s41)) | trans(s40, s41)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 4.45/3.26 tff(3060,plain,
% 4.45/3.26 (trans(s40, s41)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3059, 3056, 46])).
% 4.45/3.26 tff(3061,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3062,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s40, s41)) | (~always3(s40)) | always3(s41))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3063,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s40, s41)) | (~always3(s40)) | always3(s41)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3062, 3061])).
% 4.45/3.26 tff(3064,plain,
% 4.45/3.26 ((~always3(s40)) | always3(s41)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3063, 63, 3060])).
% 4.45/3.26 tff(3065,plain,
% 4.45/3.26 (~always3(s40)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3064, 3053])).
% 4.45/3.26 tff(3066,plain,
% 4.45/3.26 (succ(s39, s40) <=> succ(s39, s40)),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3067,axiom,(succ(s39, s40)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound40')).
% 4.45/3.26 tff(3068,plain,
% 4.45/3.26 (succ(s39, s40)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3067, 3066])).
% 4.45/3.26 tff(3069,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3070,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s39, s40)) | trans(s39, s40))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3071,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s39, s40)) | trans(s39, s40)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 4.45/3.26 tff(3072,plain,
% 4.45/3.26 (trans(s39, s40)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3071, 3068, 46])).
% 4.45/3.26 tff(3073,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3074,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s39, s40)) | (~always3(s39)) | always3(s40))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3075,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s39, s40)) | (~always3(s39)) | always3(s40)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 4.45/3.26 tff(3076,plain,
% 4.45/3.26 ((~always3(s39)) | always3(s40)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3075, 63, 3072])).
% 4.45/3.26 tff(3077,plain,
% 4.45/3.26 (~always3(s39)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3076, 3065])).
% 4.45/3.26 tff(3078,plain,
% 4.45/3.26 (~always3(s38)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2780, 3077])).
% 4.45/3.26 tff(3079,plain,
% 4.45/3.26 (~always3(s37)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2615, 3078])).
% 4.45/3.26 tff(3080,plain,
% 4.45/3.26 (~always3(s36)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2644, 3079])).
% 4.45/3.26 tff(3081,plain,
% 4.45/3.26 (~always3(s35)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2656, 3080])).
% 4.45/3.26 tff(3082,plain,
% 4.45/3.26 (~always3(s34)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2668, 3081])).
% 4.45/3.26 tff(3083,plain,
% 4.45/3.26 (~always3(s33)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2680, 3082])).
% 4.45/3.26 tff(3084,plain,
% 4.45/3.26 (~always3(s32)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2547, 3083])).
% 4.45/3.26 tff(3085,plain,
% 4.45/3.26 (~always3(s31)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[2509, 3084])).
% 4.45/3.26 tff(3086,plain,
% 4.45/3.26 (~always3(s30)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[1564, 3085])).
% 4.45/3.26 tff(3087,plain,
% 4.45/3.26 (~always3(s29)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[994, 3086])).
% 4.45/3.26 tff(3088,plain,
% 4.45/3.26 (~always3(s28)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[1039, 3087])).
% 4.45/3.26 tff(3089,plain,
% 4.45/3.26 (~node4(s28)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[1043, 35, 3088])).
% 4.45/3.26 tff(3090,plain,
% 4.45/3.26 (~node4(s29)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[998, 35, 3087])).
% 4.45/3.26 tff(3091,plain,
% 4.45/3.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3092,plain,
% 4.45/3.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s45) | (~node4(s45)))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3093,plain,
% 4.45/3.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s45) | (~node4(s45))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3092, 3091])).
% 4.45/3.26 tff(3094,plain,
% 4.45/3.26 (~node4(s45)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3093, 35, 3005])).
% 4.45/3.26 tff(3095,plain,
% 4.45/3.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3096,plain,
% 4.45/3.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s46) | (~node4(s46)))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3097,plain,
% 4.45/3.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s46) | (~node4(s46))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3096, 3095])).
% 4.45/3.26 tff(3098,plain,
% 4.45/3.26 (~node4(s46)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3097, 35, 2993])).
% 4.45/3.26 tff(3099,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s46) | node4(s46) | (~until5(s46)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3100,plain,
% 4.45/3.26 ((node4(s46) | (~until5(s46)) | xuntil6(s46)) <=> (xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3101,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s46) | node4(s46) | (~until5(s46))))),
% 4.45/3.26 inference(monotonicity,[status(thm)],[3100])).
% 4.45/3.26 tff(3102,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46)))),
% 4.45/3.26 inference(transitivity,[status(thm)],[3101, 3099])).
% 4.45/3.26 tff(3103,plain,
% 4.45/3.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s46) | (~until5(s46)) | xuntil6(s46))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3104,plain,
% 4.45/3.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s46) | node4(s46) | (~until5(s46))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3103, 3102])).
% 4.45/3.26 tff(3105,plain,
% 4.45/3.26 (node4(s46) | (~until5(s46))),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3104, 155, 2992])).
% 4.45/3.26 tff(3106,plain,
% 4.45/3.26 (~until5(s46)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3105, 3098])).
% 4.45/3.26 tff(3107,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3108,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3109,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s45, s46)) | (~xuntil6(s45)) | until5(s46)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3108, 3107])).
% 4.45/3.26 tff(3110,plain,
% 4.45/3.26 ((~xuntil6(s45)) | until5(s46)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3109, 2996, 173])).
% 4.45/3.26 tff(3111,plain,
% 4.45/3.26 (~xuntil6(s45)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3110, 3106])).
% 4.45/3.26 tff(3112,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s45) | node4(s45) | (~until5(s45)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3113,plain,
% 4.45/3.26 ((node4(s45) | (~until5(s45)) | xuntil6(s45)) <=> (xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3114,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s45) | node4(s45) | (~until5(s45))))),
% 4.45/3.26 inference(monotonicity,[status(thm)],[3113])).
% 4.45/3.26 tff(3115,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45)))),
% 4.45/3.26 inference(transitivity,[status(thm)],[3114, 3112])).
% 4.45/3.26 tff(3116,plain,
% 4.45/3.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s45) | (~until5(s45)) | xuntil6(s45))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3117,plain,
% 4.45/3.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s45) | node4(s45) | (~until5(s45))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3116, 3115])).
% 4.45/3.26 tff(3118,plain,
% 4.45/3.26 (~until5(s45)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3117, 155, 3111, 3094])).
% 4.45/3.26 tff(3119,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3120,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3121,plain,
% 4.45/3.26 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s44, s45)) | (~xuntil6(s44)) | until5(s45)),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 4.45/3.26 tff(3122,plain,
% 4.45/3.26 ((~xuntil6(s44)) | until5(s45)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3121, 3008, 173])).
% 4.45/3.26 tff(3123,plain,
% 4.45/3.26 (~xuntil6(s44)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3122, 3118])).
% 4.45/3.26 tff(3124,plain,
% 4.45/3.26 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3125,plain,
% 4.45/3.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s44) | (~node4(s44)))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3126,plain,
% 4.45/3.26 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s44) | (~node4(s44))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3125, 3124])).
% 4.45/3.26 tff(3127,plain,
% 4.45/3.26 (~node4(s44)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3126, 35, 3017])).
% 4.45/3.26 tff(3128,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s44) | node4(s44) | (~until5(s44)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3129,plain,
% 4.45/3.26 ((node4(s44) | (~until5(s44)) | xuntil6(s44)) <=> (xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 4.45/3.26 inference(rewrite,[status(thm)],[])).
% 4.45/3.26 tff(3130,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s44) | node4(s44) | (~until5(s44))))),
% 4.45/3.26 inference(monotonicity,[status(thm)],[3129])).
% 4.45/3.26 tff(3131,plain,
% 4.45/3.26 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44)))),
% 4.45/3.26 inference(transitivity,[status(thm)],[3130, 3128])).
% 4.45/3.26 tff(3132,plain,
% 4.45/3.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s44) | (~until5(s44)) | xuntil6(s44))),
% 4.45/3.26 inference(quant_inst,[status(thm)],[])).
% 4.45/3.26 tff(3133,plain,
% 4.45/3.26 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s44) | node4(s44) | (~until5(s44))),
% 4.45/3.26 inference(modus_ponens,[status(thm)],[3132, 3131])).
% 4.45/3.26 tff(3134,plain,
% 4.45/3.26 (xuntil6(s44) | (~until5(s44))),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3133, 155, 3127])).
% 4.45/3.26 tff(3135,plain,
% 4.45/3.26 (~until5(s44)),
% 4.45/3.26 inference(unit_resolution,[status(thm)],[3134, 3123])).
% 4.45/3.26 tff(3136,plain,
% 4.45/3.26 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3137,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3138,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s43, s44)) | (~xuntil6(s43)) | until5(s44)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3137, 3136])).
% 4.45/3.27 tff(3139,plain,
% 4.45/3.27 ((~xuntil6(s43)) | until5(s44)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3138, 3020, 173])).
% 4.45/3.27 tff(3140,plain,
% 4.45/3.27 (~xuntil6(s43)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3139, 3135])).
% 4.45/3.27 tff(3141,plain,
% 4.45/3.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3142,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s43) | (~node4(s43)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3143,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s43) | (~node4(s43))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3142, 3141])).
% 4.45/3.27 tff(3144,plain,
% 4.45/3.27 (~node4(s43)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3143, 35, 3029])).
% 4.45/3.27 tff(3145,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s43) | node4(s43) | (~until5(s43)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3146,plain,
% 4.45/3.27 ((node4(s43) | (~until5(s43)) | xuntil6(s43)) <=> (xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3147,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s43) | node4(s43) | (~until5(s43))))),
% 4.45/3.27 inference(monotonicity,[status(thm)],[3146])).
% 4.45/3.27 tff(3148,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43)))),
% 4.45/3.27 inference(transitivity,[status(thm)],[3147, 3145])).
% 4.45/3.27 tff(3149,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s43) | (~until5(s43)) | xuntil6(s43))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3150,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s43) | node4(s43) | (~until5(s43))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3149, 3148])).
% 4.45/3.27 tff(3151,plain,
% 4.45/3.27 (xuntil6(s43) | (~until5(s43))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3150, 155, 3144])).
% 4.45/3.27 tff(3152,plain,
% 4.45/3.27 (~until5(s43)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3151, 3140])).
% 4.45/3.27 tff(3153,plain,
% 4.45/3.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3154,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3155,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s42, s43)) | (~xuntil6(s42)) | until5(s43)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 4.45/3.27 tff(3156,plain,
% 4.45/3.27 ((~xuntil6(s42)) | until5(s43)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3155, 3032, 173])).
% 4.45/3.27 tff(3157,plain,
% 4.45/3.27 (~xuntil6(s42)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3156, 3152])).
% 4.45/3.27 tff(3158,plain,
% 4.45/3.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3159,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s42) | (~node4(s42)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3160,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s42) | (~node4(s42))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3159, 3158])).
% 4.45/3.27 tff(3161,plain,
% 4.45/3.27 (~node4(s42)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3160, 35, 3041])).
% 4.45/3.27 tff(3162,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s42) | node4(s42) | (~until5(s42)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3163,plain,
% 4.45/3.27 ((node4(s42) | (~until5(s42)) | xuntil6(s42)) <=> (xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3164,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s42) | node4(s42) | (~until5(s42))))),
% 4.45/3.27 inference(monotonicity,[status(thm)],[3163])).
% 4.45/3.27 tff(3165,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42)))),
% 4.45/3.27 inference(transitivity,[status(thm)],[3164, 3162])).
% 4.45/3.27 tff(3166,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s42) | (~until5(s42)) | xuntil6(s42))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3167,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s42) | node4(s42) | (~until5(s42))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3166, 3165])).
% 4.45/3.27 tff(3168,plain,
% 4.45/3.27 (xuntil6(s42) | (~until5(s42))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3167, 155, 3161])).
% 4.45/3.27 tff(3169,plain,
% 4.45/3.27 (~until5(s42)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3168, 3157])).
% 4.45/3.27 tff(3170,plain,
% 4.45/3.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3171,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3172,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s41, s42)) | (~xuntil6(s41)) | until5(s42)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 4.45/3.27 tff(3173,plain,
% 4.45/3.27 ((~xuntil6(s41)) | until5(s42)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3172, 3044, 173])).
% 4.45/3.27 tff(3174,plain,
% 4.45/3.27 (~xuntil6(s41)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3173, 3169])).
% 4.45/3.27 tff(3175,plain,
% 4.45/3.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3176,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s41) | (~node4(s41)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3177,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s41) | (~node4(s41))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3176, 3175])).
% 4.45/3.27 tff(3178,plain,
% 4.45/3.27 (~node4(s41)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3177, 35, 3053])).
% 4.45/3.27 tff(3179,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s41) | node4(s41) | (~until5(s41)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3180,plain,
% 4.45/3.27 ((node4(s41) | (~until5(s41)) | xuntil6(s41)) <=> (xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3181,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s41) | node4(s41) | (~until5(s41))))),
% 4.45/3.27 inference(monotonicity,[status(thm)],[3180])).
% 4.45/3.27 tff(3182,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41)))),
% 4.45/3.27 inference(transitivity,[status(thm)],[3181, 3179])).
% 4.45/3.27 tff(3183,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s41) | (~until5(s41)) | xuntil6(s41))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3184,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s41) | node4(s41) | (~until5(s41))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3183, 3182])).
% 4.45/3.27 tff(3185,plain,
% 4.45/3.27 (xuntil6(s41) | (~until5(s41))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3184, 155, 3178])).
% 4.45/3.27 tff(3186,plain,
% 4.45/3.27 (~until5(s41)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3185, 3174])).
% 4.45/3.27 tff(3187,plain,
% 4.45/3.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3188,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3189,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s40, s41)) | (~xuntil6(s40)) | until5(s41)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3188, 3187])).
% 4.45/3.27 tff(3190,plain,
% 4.45/3.27 ((~xuntil6(s40)) | until5(s41)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3189, 3056, 173])).
% 4.45/3.27 tff(3191,plain,
% 4.45/3.27 (~xuntil6(s40)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3190, 3186])).
% 4.45/3.27 tff(3192,plain,
% 4.45/3.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3193,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s40) | (~node4(s40)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3194,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s40) | (~node4(s40))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3193, 3192])).
% 4.45/3.27 tff(3195,plain,
% 4.45/3.27 (~node4(s40)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3194, 35, 3065])).
% 4.45/3.27 tff(3196,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s40) | node4(s40) | (~until5(s40)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3197,plain,
% 4.45/3.27 ((node4(s40) | (~until5(s40)) | xuntil6(s40)) <=> (xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3198,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s40) | node4(s40) | (~until5(s40))))),
% 4.45/3.27 inference(monotonicity,[status(thm)],[3197])).
% 4.45/3.27 tff(3199,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40)))),
% 4.45/3.27 inference(transitivity,[status(thm)],[3198, 3196])).
% 4.45/3.27 tff(3200,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s40) | (~until5(s40)) | xuntil6(s40))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3201,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s40) | node4(s40) | (~until5(s40))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 4.45/3.27 tff(3202,plain,
% 4.45/3.27 (xuntil6(s40) | (~until5(s40))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3201, 155, 3195])).
% 4.45/3.27 tff(3203,plain,
% 4.45/3.27 (~until5(s40)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3202, 3191])).
% 4.45/3.27 tff(3204,plain,
% 4.45/3.27 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3205,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3206,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s39, s40)) | (~xuntil6(s39)) | until5(s40)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3205, 3204])).
% 4.45/3.27 tff(3207,plain,
% 4.45/3.27 ((~xuntil6(s39)) | until5(s40)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3206, 3068, 173])).
% 4.45/3.27 tff(3208,plain,
% 4.45/3.27 (~xuntil6(s39)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3207, 3203])).
% 4.45/3.27 tff(3209,plain,
% 4.45/3.27 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3210,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s39) | (~node4(s39)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3211,plain,
% 4.45/3.27 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s39) | (~node4(s39))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3210, 3209])).
% 4.45/3.27 tff(3212,plain,
% 4.45/3.27 (~node4(s39)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3211, 35, 3077])).
% 4.45/3.27 tff(3213,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s39) | node4(s39) | (~until5(s39)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3214,plain,
% 4.45/3.27 ((node4(s39) | (~until5(s39)) | xuntil6(s39)) <=> (xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3215,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s39) | node4(s39) | (~until5(s39))))),
% 4.45/3.27 inference(monotonicity,[status(thm)],[3214])).
% 4.45/3.27 tff(3216,plain,
% 4.45/3.27 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39)))),
% 4.45/3.27 inference(transitivity,[status(thm)],[3215, 3213])).
% 4.45/3.27 tff(3217,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s39) | (~until5(s39)) | xuntil6(s39))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3218,plain,
% 4.45/3.27 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s39) | node4(s39) | (~until5(s39))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3217, 3216])).
% 4.45/3.27 tff(3219,plain,
% 4.45/3.27 (xuntil6(s39) | (~until5(s39))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3218, 155, 3212])).
% 4.45/3.27 tff(3220,plain,
% 4.45/3.27 (~until5(s39)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3219, 3208])).
% 4.45/3.27 tff(3221,plain,
% 4.45/3.27 (~xuntil6(s38)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2990, 3220])).
% 4.45/3.27 tff(3222,plain,
% 4.45/3.27 (~node4(s31)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2513, 35, 3085])).
% 4.45/3.27 tff(3223,plain,
% 4.45/3.27 (~node4(s30)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1002, 35, 3086])).
% 4.45/3.27 tff(3224,assumption,(until5(s30)), introduced(assumption)).
% 4.45/3.27 tff(3225,plain,
% 4.45/3.27 (xuntil6(s30) | node4(s30)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1009, 155, 3224])).
% 4.45/3.27 tff(3226,plain,
% 4.45/3.27 (xuntil6(s30)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3225, 3223])).
% 4.45/3.27 tff(3227,plain,
% 4.45/3.27 (until5(s31)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2482, 3226])).
% 4.45/3.27 tff(3228,plain,
% 4.45/3.27 (xuntil6(s31)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2520, 155, 3227, 3222])).
% 4.45/3.27 tff(3229,plain,
% 4.45/3.27 (until5(s32)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2526, 3228])).
% 4.45/3.27 tff(3230,plain,
% 4.45/3.27 (~node4(s32)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2489, 35, 3084])).
% 4.45/3.27 tff(3231,plain,
% 4.45/3.27 (xuntil6(s32) | (~until5(s32))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2496, 155, 3230])).
% 4.45/3.27 tff(3232,plain,
% 4.45/3.27 (xuntil6(s32)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3231, 3229])).
% 4.45/3.27 tff(3233,plain,
% 4.45/3.27 (until5(s33)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2600, 3232])).
% 4.45/3.27 tff(3234,plain,
% 4.45/3.27 (~node4(s33)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2684, 35, 3083])).
% 4.45/3.27 tff(3235,plain,
% 4.45/3.27 (xuntil6(s33) | (~until5(s33))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2691, 155, 3234])).
% 4.45/3.27 tff(3236,plain,
% 4.45/3.27 (xuntil6(s33)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3235, 3233])).
% 4.45/3.27 tff(3237,plain,
% 4.45/3.27 (until5(s34)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2697, 3236])).
% 4.45/3.27 tff(3238,plain,
% 4.45/3.27 (~node4(s34)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2738, 35, 3082])).
% 4.45/3.27 tff(3239,plain,
% 4.45/3.27 (xuntil6(s34) | (~until5(s34))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2746, 155, 3238])).
% 4.45/3.27 tff(3240,plain,
% 4.45/3.27 (xuntil6(s34)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3239, 3237])).
% 4.45/3.27 tff(3241,plain,
% 4.45/3.27 (until5(s35)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2752, 3240])).
% 4.45/3.27 tff(3242,plain,
% 4.45/3.27 (~node4(s35)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2733, 35, 3081])).
% 4.45/3.27 tff(3243,plain,
% 4.45/3.27 (xuntil6(s35) | (~until5(s35))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2759, 155, 3242])).
% 4.45/3.27 tff(3244,plain,
% 4.45/3.27 (xuntil6(s35)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3243, 3241])).
% 4.45/3.27 tff(3245,plain,
% 4.45/3.27 (until5(s36)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2764, 3244])).
% 4.45/3.27 tff(3246,plain,
% 4.45/3.27 (~node4(s36)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2703, 35, 3080])).
% 4.45/3.27 tff(3247,plain,
% 4.45/3.27 (xuntil6(s36) | (~until5(s36))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2728, 155, 3246])).
% 4.45/3.27 tff(3248,plain,
% 4.45/3.27 (xuntil6(s36)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3247, 3245])).
% 4.45/3.27 tff(3249,plain,
% 4.45/3.27 (until5(s37)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2721, 3248])).
% 4.45/3.27 tff(3250,plain,
% 4.45/3.27 (~node4(s37)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2707, 35, 3079])).
% 4.45/3.27 tff(3251,plain,
% 4.45/3.27 (xuntil6(s37) | (~until5(s37))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2715, 155, 3250])).
% 4.45/3.27 tff(3252,plain,
% 4.45/3.27 (xuntil6(s37)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3251, 3249])).
% 4.45/3.27 tff(3253,plain,
% 4.45/3.27 (until5(s38)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2632, 3252])).
% 4.45/3.27 tff(3254,plain,
% 4.45/3.27 (~node4(s38)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2619, 35, 3078])).
% 4.45/3.27 tff(3255,plain,
% 4.45/3.27 (xuntil6(s38) | (~until5(s38))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[2626, 155, 3254])).
% 4.45/3.27 tff(3256,plain,
% 4.45/3.27 ($false),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3255, 3253, 3221])).
% 4.45/3.27 tff(3257,plain,(always3(s46) | (~until5(s30)) | xuntil6(s46)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.27 tff(3258,plain,
% 4.45/3.27 (~until5(s30)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3257, 2993, 2992])).
% 4.45/3.27 tff(3259,plain,
% 4.45/3.27 (~xuntil6(s29)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1015, 3258])).
% 4.45/3.27 tff(3260,plain,
% 4.45/3.27 (~until5(s29)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1022, 155, 3259, 3090])).
% 4.45/3.27 tff(3261,plain,
% 4.45/3.27 (~xuntil6(s28)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1030, 3260])).
% 4.45/3.27 tff(3262,plain,
% 4.45/3.27 (~until5(s28)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1050, 155, 3261, 3089])).
% 4.45/3.27 tff(3263,plain,
% 4.45/3.27 (~xuntil6(s27)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1059, 3262])).
% 4.45/3.27 tff(3264,plain,
% 4.45/3.27 (~always3(s27)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1068, 3088])).
% 4.45/3.27 tff(3265,plain,
% 4.45/3.27 (~node4(s27)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1072, 35, 3264])).
% 4.45/3.27 tff(3266,plain,
% 4.45/3.27 (xuntil6(s27) | (~until5(s27))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1079, 155, 3265])).
% 4.45/3.27 tff(3267,plain,
% 4.45/3.27 (~until5(s27)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3266, 3263])).
% 4.45/3.27 tff(3268,plain,
% 4.45/3.27 (~xuntil6(s26)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1088, 3267])).
% 4.45/3.27 tff(3269,plain,
% 4.45/3.27 (~always3(s26)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1097, 3264])).
% 4.45/3.27 tff(3270,plain,
% 4.45/3.27 (~node4(s26)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1101, 35, 3269])).
% 4.45/3.27 tff(3271,plain,
% 4.45/3.27 (xuntil6(s26) | (~until5(s26))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1108, 155, 3270])).
% 4.45/3.27 tff(3272,plain,
% 4.45/3.27 (~until5(s26)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3271, 3268])).
% 4.45/3.27 tff(3273,plain,
% 4.45/3.27 (~xuntil6(s25)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1117, 3272])).
% 4.45/3.27 tff(3274,plain,
% 4.45/3.27 (~always3(s25)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1126, 3269])).
% 4.45/3.27 tff(3275,plain,
% 4.45/3.27 (~node4(s25)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1130, 35, 3274])).
% 4.45/3.27 tff(3276,plain,
% 4.45/3.27 (xuntil6(s25) | (~until5(s25))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1137, 155, 3275])).
% 4.45/3.27 tff(3277,plain,
% 4.45/3.27 (~until5(s25)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3276, 3273])).
% 4.45/3.27 tff(3278,plain,
% 4.45/3.27 (~xuntil6(s24)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1146, 3277])).
% 4.45/3.27 tff(3279,plain,
% 4.45/3.27 (~always3(s24)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1155, 3274])).
% 4.45/3.27 tff(3280,plain,
% 4.45/3.27 (~node4(s24)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1159, 35, 3279])).
% 4.45/3.27 tff(3281,plain,
% 4.45/3.27 (xuntil6(s24) | (~until5(s24))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1166, 155, 3280])).
% 4.45/3.27 tff(3282,plain,
% 4.45/3.27 (~until5(s24)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3281, 3278])).
% 4.45/3.27 tff(3283,plain,
% 4.45/3.27 (~xuntil6(s23)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1175, 3282])).
% 4.45/3.27 tff(3284,plain,
% 4.45/3.27 (~always3(s23)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1184, 3279])).
% 4.45/3.27 tff(3285,plain,
% 4.45/3.27 (~node4(s23)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1188, 35, 3284])).
% 4.45/3.27 tff(3286,plain,
% 4.45/3.27 (xuntil6(s23) | (~until5(s23))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1195, 155, 3285])).
% 4.45/3.27 tff(3287,plain,
% 4.45/3.27 (~until5(s23)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3286, 3283])).
% 4.45/3.27 tff(3288,plain,
% 4.45/3.27 (~xuntil6(s22)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1204, 3287])).
% 4.45/3.27 tff(3289,plain,
% 4.45/3.27 (~always3(s22)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1213, 3284])).
% 4.45/3.27 tff(3290,plain,
% 4.45/3.27 (~node4(s22)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1217, 35, 3289])).
% 4.45/3.27 tff(3291,plain,
% 4.45/3.27 (xuntil6(s22) | (~until5(s22))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1224, 155, 3290])).
% 4.45/3.27 tff(3292,plain,
% 4.45/3.27 (~until5(s22)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3291, 3288])).
% 4.45/3.27 tff(3293,plain,
% 4.45/3.27 (~xuntil6(s21)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1233, 3292])).
% 4.45/3.27 tff(3294,plain,
% 4.45/3.27 (~always3(s21)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1242, 3289])).
% 4.45/3.27 tff(3295,plain,
% 4.45/3.27 (~node4(s21)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1506, 35, 3294])).
% 4.45/3.27 tff(3296,plain,
% 4.45/3.27 (xuntil6(s21) | (~until5(s21))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1513, 155, 3295])).
% 4.45/3.27 tff(3297,plain,
% 4.45/3.27 (~until5(s21)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3296, 3293])).
% 4.45/3.27 tff(3298,plain,
% 4.45/3.27 (~xuntil6(s20)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1502, 3297])).
% 4.45/3.27 tff(3299,plain,
% 4.45/3.27 (~always3(s20)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1254, 3294])).
% 4.45/3.27 tff(3300,plain,
% 4.45/3.27 (~node4(s20)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1489, 35, 3299])).
% 4.45/3.27 tff(3301,plain,
% 4.45/3.27 (xuntil6(s20) | (~until5(s20))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1496, 155, 3300])).
% 4.45/3.27 tff(3302,plain,
% 4.45/3.27 (~until5(s20)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3301, 3298])).
% 4.45/3.27 tff(3303,plain,
% 4.45/3.27 (~xuntil6(s19)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1485, 3302])).
% 4.45/3.27 tff(3304,plain,
% 4.45/3.27 (~always3(s19)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1266, 3299])).
% 4.45/3.27 tff(3305,plain,
% 4.45/3.27 (~node4(s19)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1472, 35, 3304])).
% 4.45/3.27 tff(3306,plain,
% 4.45/3.27 (xuntil6(s19) | (~until5(s19))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1479, 155, 3305])).
% 4.45/3.27 tff(3307,plain,
% 4.45/3.27 (~until5(s19)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3306, 3303])).
% 4.45/3.27 tff(3308,plain,
% 4.45/3.27 (~xuntil6(s18)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1468, 3307])).
% 4.45/3.27 tff(3309,plain,
% 4.45/3.27 (~always3(s18)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1278, 3304])).
% 4.45/3.27 tff(3310,plain,
% 4.45/3.27 (~node4(s18)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1455, 35, 3309])).
% 4.45/3.27 tff(3311,plain,
% 4.45/3.27 (xuntil6(s18) | (~until5(s18))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1462, 155, 3310])).
% 4.45/3.27 tff(3312,plain,
% 4.45/3.27 (~until5(s18)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3311, 3308])).
% 4.45/3.27 tff(3313,plain,
% 4.45/3.27 (~xuntil6(s17)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1451, 3312])).
% 4.45/3.27 tff(3314,plain,
% 4.45/3.27 (~always3(s17)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1290, 3309])).
% 4.45/3.27 tff(3315,plain,
% 4.45/3.27 (~node4(s17)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1438, 35, 3314])).
% 4.45/3.27 tff(3316,plain,
% 4.45/3.27 (xuntil6(s17) | (~until5(s17))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1445, 155, 3315])).
% 4.45/3.27 tff(3317,plain,
% 4.45/3.27 (~until5(s17)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3316, 3313])).
% 4.45/3.27 tff(3318,plain,
% 4.45/3.27 (~xuntil6(s16)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1434, 3317])).
% 4.45/3.27 tff(3319,plain,
% 4.45/3.27 (~always3(s16)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1302, 3314])).
% 4.45/3.27 tff(3320,plain,
% 4.45/3.27 (~node4(s16)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1421, 35, 3319])).
% 4.45/3.27 tff(3321,plain,
% 4.45/3.27 (xuntil6(s16) | (~until5(s16))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1428, 155, 3320])).
% 4.45/3.27 tff(3322,plain,
% 4.45/3.27 (~until5(s16)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3321, 3318])).
% 4.45/3.27 tff(3323,plain,
% 4.45/3.27 (~xuntil6(s15)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1417, 3322])).
% 4.45/3.27 tff(3324,plain,
% 4.45/3.27 (~always3(s15)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1314, 3319])).
% 4.45/3.27 tff(3325,plain,
% 4.45/3.27 (~node4(s15)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1404, 35, 3324])).
% 4.45/3.27 tff(3326,plain,
% 4.45/3.27 (xuntil6(s15) | (~until5(s15))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1411, 155, 3325])).
% 4.45/3.27 tff(3327,plain,
% 4.45/3.27 (~until5(s15)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3326, 3323])).
% 4.45/3.27 tff(3328,plain,
% 4.45/3.27 (~always3(s14)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1326, 3324])).
% 4.45/3.27 tff(3329,plain,
% 4.45/3.27 (~always3(s13)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1338, 3328])).
% 4.45/3.27 tff(3330,plain,
% 4.45/3.27 (~always3(s12)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1354, 3329])).
% 4.45/3.27 tff(3331,plain,
% 4.45/3.27 (~always3(s11)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[490, 3330])).
% 4.45/3.27 tff(3332,plain,
% 4.45/3.27 (~always3(s10)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[136, 3331])).
% 4.45/3.27 tff(3333,plain,
% 4.45/3.27 (~always3(s9)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[201, 3332])).
% 4.45/3.27 tff(3334,plain,
% 4.45/3.27 (~always3(s8)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[230, 3333])).
% 4.45/3.27 tff(3335,plain,
% 4.45/3.27 (~always3(s7)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[259, 3334])).
% 4.45/3.27 tff(3336,plain,
% 4.45/3.27 (~always3(s6)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[288, 3335])).
% 4.45/3.27 tff(3337,plain,
% 4.45/3.27 (~always3(s5)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[312, 3336])).
% 4.45/3.27 tff(3338,plain,
% 4.45/3.27 (~always3(s4)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[324, 3337])).
% 4.45/3.27 tff(3339,plain,
% 4.45/3.27 (~always3(s3)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[336, 3338])).
% 4.45/3.27 tff(3340,plain,
% 4.45/3.27 (~always3(s2)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[348, 3339])).
% 4.45/3.27 tff(3341,plain,
% 4.45/3.27 (~always3(s1)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[360, 3340])).
% 4.45/3.27 tff(3342,plain,
% 4.45/3.27 (~node4(s1)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[364, 35, 3341])).
% 4.45/3.27 tff(3343,plain,
% 4.45/3.27 (~always3(s0)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[376, 3341])).
% 4.45/3.27 tff(3344,plain,
% 4.45/3.27 (~node4(s0)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[380, 35, 3343])).
% 4.45/3.27 tff(3345,plain,
% 4.45/3.27 (xuntil6(s0)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[391, 3344])).
% 4.45/3.27 tff(3346,plain,
% 4.45/3.27 (until5(s1)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[396, 3345])).
% 4.45/3.27 tff(3347,plain,
% 4.45/3.27 (xuntil6(s1)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[403, 155, 3346, 3342])).
% 4.45/3.27 tff(3348,plain,
% 4.45/3.27 (until5(s2)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[408, 3347])).
% 4.45/3.27 tff(3349,plain,
% 4.45/3.27 (~node4(s2)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[412, 35, 3340])).
% 4.45/3.27 tff(3350,plain,
% 4.45/3.27 (xuntil6(s2) | (~until5(s2))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[419, 155, 3349])).
% 4.45/3.27 tff(3351,plain,
% 4.45/3.27 (xuntil6(s2)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3350, 3348])).
% 4.45/3.27 tff(3352,plain,
% 4.45/3.27 (until5(s3)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[425, 3351])).
% 4.45/3.27 tff(3353,plain,
% 4.45/3.27 (~node4(s3)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[429, 35, 3339])).
% 4.45/3.27 tff(3354,plain,
% 4.45/3.27 (xuntil6(s3) | (~until5(s3))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[436, 155, 3353])).
% 4.45/3.27 tff(3355,plain,
% 4.45/3.27 (xuntil6(s3)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3354, 3352])).
% 4.45/3.27 tff(3356,plain,
% 4.45/3.27 (until5(s4)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[442, 3355])).
% 4.45/3.27 tff(3357,plain,
% 4.45/3.27 (~node4(s4)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[446, 35, 3338])).
% 4.45/3.27 tff(3358,plain,
% 4.45/3.27 (xuntil6(s4) | (~until5(s4))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[453, 155, 3357])).
% 4.45/3.27 tff(3359,plain,
% 4.45/3.27 (xuntil6(s4)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3358, 3356])).
% 4.45/3.27 tff(3360,plain,
% 4.45/3.27 (until5(s5)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[459, 3359])).
% 4.45/3.27 tff(3361,plain,
% 4.45/3.27 (~node4(s5)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[463, 35, 3337])).
% 4.45/3.27 tff(3362,plain,
% 4.45/3.27 (xuntil6(s5) | (~until5(s5))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[470, 155, 3361])).
% 4.45/3.27 tff(3363,plain,
% 4.45/3.27 (xuntil6(s5)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3362, 3360])).
% 4.45/3.27 tff(3364,plain,
% 4.45/3.27 (until5(s6)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[476, 3363])).
% 4.45/3.27 tff(3365,plain,
% 4.45/3.27 (~node4(s6)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[292, 35, 3336])).
% 4.45/3.27 tff(3366,plain,
% 4.45/3.27 (xuntil6(s6) | (~until5(s6))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[299, 155, 3365])).
% 4.45/3.27 tff(3367,plain,
% 4.45/3.27 (xuntil6(s6)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3366, 3364])).
% 4.45/3.27 tff(3368,plain,
% 4.45/3.27 (until5(s7)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[279, 3367])).
% 4.45/3.27 tff(3369,plain,
% 4.45/3.27 (~node4(s7)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[263, 35, 3335])).
% 4.45/3.27 tff(3370,plain,
% 4.45/3.27 (xuntil6(s7) | (~until5(s7))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[270, 155, 3369])).
% 4.45/3.27 tff(3371,plain,
% 4.45/3.27 (xuntil6(s7)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3370, 3368])).
% 4.45/3.27 tff(3372,plain,
% 4.45/3.27 (until5(s8)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[250, 3371])).
% 4.45/3.27 tff(3373,plain,
% 4.45/3.27 (~node4(s8)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[234, 35, 3334])).
% 4.45/3.27 tff(3374,plain,
% 4.45/3.27 (xuntil6(s8) | (~until5(s8))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[241, 155, 3373])).
% 4.45/3.27 tff(3375,plain,
% 4.45/3.27 (xuntil6(s8)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3374, 3372])).
% 4.45/3.27 tff(3376,plain,
% 4.45/3.27 (until5(s9)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[221, 3375])).
% 4.45/3.27 tff(3377,plain,
% 4.45/3.27 (~node4(s9)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[205, 35, 3333])).
% 4.45/3.27 tff(3378,plain,
% 4.45/3.27 (xuntil6(s9) | (~until5(s9))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[212, 155, 3377])).
% 4.45/3.27 tff(3379,plain,
% 4.45/3.27 (xuntil6(s9)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3378, 3376])).
% 4.45/3.27 tff(3380,plain,
% 4.45/3.27 (until5(s10)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[192, 3379])).
% 4.45/3.27 tff(3381,plain,
% 4.45/3.27 (~node4(s10)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[140, 35, 3332])).
% 4.45/3.27 tff(3382,plain,
% 4.45/3.27 (xuntil6(s10) | (~until5(s10))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[184, 155, 3381])).
% 4.45/3.27 tff(3383,plain,
% 4.45/3.27 (xuntil6(s10)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3382, 3380])).
% 4.45/3.27 tff(3384,plain,
% 4.45/3.27 (until5(s11)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[177, 3383])).
% 4.45/3.27 tff(3385,plain,
% 4.45/3.27 (~node4(s11)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[144, 35, 3331])).
% 4.45/3.27 tff(3386,plain,
% 4.45/3.27 (xuntil6(s11) | (~until5(s11))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[161, 155, 3385])).
% 4.45/3.27 tff(3387,plain,
% 4.45/3.27 (xuntil6(s11)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3386, 3384])).
% 4.45/3.27 tff(3388,plain,
% 4.45/3.27 (until5(s12)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[979, 3387])).
% 4.45/3.27 tff(3389,plain,
% 4.45/3.27 (~node4(s12)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1358, 35, 3330])).
% 4.45/3.27 tff(3390,plain,
% 4.45/3.27 (xuntil6(s12) | (~until5(s12))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1365, 155, 3389])).
% 4.45/3.27 tff(3391,plain,
% 4.45/3.27 (xuntil6(s12)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3390, 3388])).
% 4.45/3.27 tff(3392,plain,
% 4.45/3.27 (until5(s13)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1371, 3391])).
% 4.45/3.27 tff(3393,plain,
% 4.45/3.27 (~node4(s13)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1342, 35, 3329])).
% 4.45/3.27 tff(3394,plain,
% 4.45/3.27 (xuntil6(s13) | (~until5(s13))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1378, 155, 3393])).
% 4.45/3.27 tff(3395,plain,
% 4.45/3.27 (xuntil6(s13)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3394, 3392])).
% 4.45/3.27 tff(3396,plain,
% 4.45/3.27 (until5(s14)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1383, 3395])).
% 4.45/3.27 tff(3397,plain,
% 4.45/3.27 (~node4(s14)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1387, 35, 3328])).
% 4.45/3.27 tff(3398,plain,
% 4.45/3.27 (xuntil6(s14) | (~until5(s14))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1394, 155, 3397])).
% 4.45/3.27 tff(3399,plain,
% 4.45/3.27 (xuntil6(s14)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3398, 3396])).
% 4.45/3.27 tff(3400,plain,
% 4.45/3.27 ($false),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[1400, 3399, 3327])).
% 4.45/3.27 tff(3401,plain,(always3(s46) | xuntil6(s46)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.27 tff(3402,plain,
% 4.45/3.27 (always3(s46)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3401, 2992])).
% 4.45/3.27 tff(3403,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3404,plain,
% 4.45/3.27 (((~m_main_v_state(s46, c_busy)) | (~always3(s46))) <=> ((~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3405,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s46)) | (~m_main_v_state(s46, c_busy))))),
% 4.45/3.27 inference(monotonicity,[status(thm)],[3404])).
% 4.45/3.27 tff(3406,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy)))),
% 4.45/3.27 inference(transitivity,[status(thm)],[3405, 3403])).
% 4.45/3.27 tff(3407,plain,
% 4.45/3.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s46, c_busy)) | (~always3(s46)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3408,plain,
% 4.45/3.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s46)) | (~m_main_v_state(s46, c_busy))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3407, 3406])).
% 4.45/3.27 tff(3409,plain,
% 4.45/3.27 (~m_main_v_state(s46, c_busy)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3408, 75, 3402])).
% 4.45/3.27 tff(3410,assumption,(~xuntil6(s45)), introduced(assumption)).
% 4.45/3.27 tff(3411,assumption,(until5(s39)), introduced(assumption)).
% 4.45/3.27 tff(3412,assumption,(~always3(s45)), introduced(assumption)).
% 4.45/3.27 tff(3413,plain,
% 4.45/3.27 (~always3(s44)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3016, 3412])).
% 4.45/3.27 tff(3414,plain,
% 4.45/3.27 (~always3(s43)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3028, 3413])).
% 4.45/3.27 tff(3415,plain,
% 4.45/3.27 (~always3(s42)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3040, 3414])).
% 4.45/3.27 tff(3416,plain,
% 4.45/3.27 (~always3(s41)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3052, 3415])).
% 4.45/3.27 tff(3417,plain,
% 4.45/3.27 (~always3(s40)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3064, 3416])).
% 4.45/3.27 tff(3418,plain,
% 4.45/3.27 (~node4(s40)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3194, 35, 3417])).
% 4.45/3.27 tff(3419,plain,
% 4.45/3.27 (~always3(s39)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3076, 3417])).
% 4.45/3.27 tff(3420,plain,
% 4.45/3.27 (~node4(s39)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3211, 35, 3419])).
% 4.45/3.27 tff(3421,plain,
% 4.45/3.27 (xuntil6(s39) | node4(s39)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3218, 155, 3411])).
% 4.45/3.27 tff(3422,plain,
% 4.45/3.27 (xuntil6(s39)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3421, 3420])).
% 4.45/3.27 tff(3423,plain,
% 4.45/3.27 (until5(s40)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3207, 3422])).
% 4.45/3.27 tff(3424,plain,
% 4.45/3.27 (xuntil6(s40)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3201, 155, 3423, 3418])).
% 4.45/3.27 tff(3425,plain,
% 4.45/3.27 (until5(s41)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3190, 3424])).
% 4.45/3.27 tff(3426,plain,
% 4.45/3.27 (~node4(s41)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3177, 35, 3416])).
% 4.45/3.27 tff(3427,plain,
% 4.45/3.27 (xuntil6(s41) | (~until5(s41))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3184, 155, 3426])).
% 4.45/3.27 tff(3428,plain,
% 4.45/3.27 (xuntil6(s41)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3427, 3425])).
% 4.45/3.27 tff(3429,plain,
% 4.45/3.27 (until5(s42)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3173, 3428])).
% 4.45/3.27 tff(3430,plain,
% 4.45/3.27 (~node4(s42)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3160, 35, 3415])).
% 4.45/3.27 tff(3431,plain,
% 4.45/3.27 (xuntil6(s42) | (~until5(s42))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3167, 155, 3430])).
% 4.45/3.27 tff(3432,plain,
% 4.45/3.27 (xuntil6(s42)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3431, 3429])).
% 4.45/3.27 tff(3433,plain,
% 4.45/3.27 (until5(s43)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3156, 3432])).
% 4.45/3.27 tff(3434,plain,
% 4.45/3.27 (~node4(s43)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3143, 35, 3414])).
% 4.45/3.27 tff(3435,plain,
% 4.45/3.27 (xuntil6(s43) | (~until5(s43))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3150, 155, 3434])).
% 4.45/3.27 tff(3436,plain,
% 4.45/3.27 (xuntil6(s43)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3435, 3433])).
% 4.45/3.27 tff(3437,plain,
% 4.45/3.27 (until5(s44)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3139, 3436])).
% 4.45/3.27 tff(3438,plain,
% 4.45/3.27 (~node4(s44)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3126, 35, 3413])).
% 4.45/3.27 tff(3439,plain,
% 4.45/3.27 (xuntil6(s44) | (~until5(s44))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3133, 155, 3438])).
% 4.45/3.27 tff(3440,plain,
% 4.45/3.27 (xuntil6(s44)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3439, 3437])).
% 4.45/3.27 tff(3441,plain,
% 4.45/3.27 (until5(s45)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3122, 3440])).
% 4.45/3.27 tff(3442,plain,
% 4.45/3.27 (node4(s45) | (~until5(s45))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3117, 155, 3410])).
% 4.45/3.27 tff(3443,plain,
% 4.45/3.27 (node4(s45)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3442, 3441])).
% 4.45/3.27 tff(3444,plain,
% 4.45/3.27 ($false),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3093, 35, 3412, 3443])).
% 4.45/3.27 tff(3445,plain,(always3(s45) | xuntil6(s45) | (~until5(s39))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.27 tff(3446,plain,
% 4.45/3.27 (always3(s45)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3445, 3411, 3410])).
% 4.45/3.27 tff(3447,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s45)) | (~m_main_v_state(s45, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3448,plain,
% 4.45/3.27 (((~m_main_v_state(s45, c_busy)) | (~always3(s45))) <=> ((~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3449,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s45)) | (~m_main_v_state(s45, c_busy))))),
% 4.45/3.27 inference(monotonicity,[status(thm)],[3448])).
% 4.45/3.27 tff(3450,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy)))),
% 4.45/3.27 inference(transitivity,[status(thm)],[3449, 3447])).
% 4.45/3.27 tff(3451,plain,
% 4.45/3.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s45, c_busy)) | (~always3(s45)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3452,plain,
% 4.45/3.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s45)) | (~m_main_v_state(s45, c_busy))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3451, 3450])).
% 4.45/3.27 tff(3453,plain,
% 4.45/3.27 (~m_main_v_state(s45, c_busy)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3452, 75, 3446])).
% 4.45/3.27 tff(3454,assumption,(~m_main_v_state(s45, c_busy)), introduced(assumption)).
% 4.45/3.27 tff(3455,assumption,(node4(s44)), introduced(assumption)).
% 4.45/3.27 tff(3456,plain,
% 4.45/3.27 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s44) | (~node4(s44)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s44) | (~node4(s44)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3457,plain,
% 4.45/3.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s44) | (~node4(s44)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3458,plain,
% 4.45/3.27 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s44) | (~node4(s44))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 4.45/3.27 tff(3459,plain,
% 4.45/3.27 (m_main_v_request(s44)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3458, 17, 3455])).
% 4.45/3.27 tff(3460,plain,
% 4.45/3.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s44, s45)) | node2(s44, s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s44, s45)) | node2(s44, s45))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3461,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s44, s45)) | node2(s44, s45))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3462,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s44, s45)) | node2(s44, s45)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3461, 3460])).
% 4.45/3.27 tff(3463,plain,
% 4.45/3.27 (node2(s44, s45)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3462, 7, 3012])).
% 4.45/3.27 tff(3464,plain,
% 4.45/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3465,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3466,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s44, c_ready)) | (~node2(s44, s45)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3465, 3464])).
% 4.45/3.27 tff(3467,plain,
% 4.45/3.27 ((~m_main_v_state(s44, c_ready)) | m_main_v_state(s45, c_busy) | (~m_main_v_request(s44))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3466, 96, 3463])).
% 4.45/3.27 tff(3468,plain,
% 4.45/3.27 (~m_main_v_state(s44, c_ready)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3467, 3459, 3454])).
% 4.45/3.27 tff(3469,plain,
% 4.45/3.27 (always3(s44)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3126, 35, 3455])).
% 4.45/3.27 tff(3470,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s44)) | (~m_main_v_state(s44, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3471,plain,
% 4.45/3.27 (((~m_main_v_state(s44, c_busy)) | (~always3(s44))) <=> ((~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3472,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s44)) | (~m_main_v_state(s44, c_busy))))),
% 4.45/3.27 inference(monotonicity,[status(thm)],[3471])).
% 4.45/3.27 tff(3473,plain,
% 4.45/3.27 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy)))),
% 4.45/3.27 inference(transitivity,[status(thm)],[3472, 3470])).
% 4.45/3.27 tff(3474,plain,
% 4.45/3.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s44, c_busy)) | (~always3(s44)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3475,plain,
% 4.45/3.27 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s44)) | (~m_main_v_state(s44, c_busy))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3474, 3473])).
% 4.45/3.27 tff(3476,plain,
% 4.45/3.27 (~m_main_v_state(s44, c_busy)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3475, 75, 3469])).
% 4.45/3.27 tff(3477,plain,
% 4.45/3.27 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3478,plain,
% 4.45/3.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3479,plain,
% 4.45/3.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s44, c_busy) | m_main_v_state(s44, c_ready)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3478, 3477])).
% 4.45/3.27 tff(3480,plain,
% 4.45/3.27 ($false),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3479, 118, 3476, 3468])).
% 4.45/3.27 tff(3481,plain,((~node4(s44)) | m_main_v_state(s45, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.27 tff(3482,plain,
% 4.45/3.27 (~node4(s44)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3481, 3453])).
% 4.45/3.27 tff(3483,assumption,(~m_main_v_state(s46, c_busy)), introduced(assumption)).
% 4.45/3.27 tff(3484,plain,
% 4.45/3.27 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3485,plain,
% 4.45/3.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3486,plain,
% 4.45/3.27 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s45, c_busy) | m_main_v_state(s45, c_ready)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3485, 3484])).
% 4.45/3.27 tff(3487,plain,
% 4.45/3.27 (m_main_v_state(s45, c_ready)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3486, 118, 3453])).
% 4.45/3.27 tff(3488,plain,
% 4.45/3.27 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s45, s46)) | node2(s45, s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s45, s46)) | node2(s45, s46))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3489,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s45, s46)) | node2(s45, s46))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3490,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s45, s46)) | node2(s45, s46)),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3489, 3488])).
% 4.45/3.27 tff(3491,plain,
% 4.45/3.27 (node2(s45, s46)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3490, 7, 3000])).
% 4.45/3.27 tff(3492,plain,
% 4.45/3.27 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))),
% 4.45/3.27 inference(rewrite,[status(thm)],[])).
% 4.45/3.27 tff(3493,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45)))),
% 4.45/3.27 inference(quant_inst,[status(thm)],[])).
% 4.45/3.27 tff(3494,plain,
% 4.45/3.27 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s45, c_ready)) | (~node2(s45, s46)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 4.45/3.27 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 4.45/3.27 tff(3495,plain,
% 4.45/3.27 ((~m_main_v_state(s45, c_ready)) | m_main_v_state(s46, c_busy) | (~m_main_v_request(s45))),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3494, 96, 3491])).
% 4.45/3.27 tff(3496,plain,
% 4.45/3.27 (~m_main_v_request(s45)),
% 4.45/3.27 inference(unit_resolution,[status(thm)],[3495, 3487, 3483])).
% 4.45/3.28 tff(3497,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s45) | (~node4(s45)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s45) | (~node4(s45)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3498,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s45) | (~node4(s45)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3499,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s45) | (~node4(s45))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3498, 3497])).
% 4.45/3.28 tff(3500,plain,
% 4.45/3.28 (~node4(s45)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3499, 17, 3496])).
% 4.45/3.28 tff(3501,plain,
% 4.45/3.28 (~until5(s45)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3442, 3500])).
% 4.45/3.28 tff(3502,plain,
% 4.45/3.28 (~xuntil6(s44)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3122, 3501])).
% 4.45/3.28 tff(3503,plain,
% 4.45/3.28 (node4(s44) | (~until5(s44))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3133, 155, 3502])).
% 4.45/3.28 tff(3504,plain,
% 4.45/3.28 (~until5(s44)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3503, 3482])).
% 4.45/3.28 tff(3505,plain,
% 4.45/3.28 (~xuntil6(s43)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3139, 3504])).
% 4.45/3.28 tff(3506,assumption,(~always3(s43)), introduced(assumption)).
% 4.45/3.28 tff(3507,plain,
% 4.45/3.28 (~always3(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3040, 3506])).
% 4.45/3.28 tff(3508,plain,
% 4.45/3.28 (~node4(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3160, 35, 3507])).
% 4.45/3.28 tff(3509,plain,
% 4.45/3.28 (~node4(s43)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3143, 35, 3506])).
% 4.45/3.28 tff(3510,assumption,(~xuntil6(s43)), introduced(assumption)).
% 4.45/3.28 tff(3511,plain,
% 4.45/3.28 (node4(s43) | (~until5(s43))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3150, 155, 3510])).
% 4.45/3.28 tff(3512,plain,
% 4.45/3.28 (~until5(s43)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3511, 3509])).
% 4.45/3.28 tff(3513,plain,
% 4.45/3.28 (~xuntil6(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3156, 3512])).
% 4.45/3.28 tff(3514,plain,
% 4.45/3.28 (~until5(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3167, 155, 3513, 3508])).
% 4.45/3.28 tff(3515,plain,
% 4.45/3.28 (~xuntil6(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3173, 3514])).
% 4.45/3.28 tff(3516,plain,
% 4.45/3.28 (~always3(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3052, 3507])).
% 4.45/3.28 tff(3517,plain,
% 4.45/3.28 (~always3(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3064, 3516])).
% 4.45/3.28 tff(3518,plain,
% 4.45/3.28 (~node4(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3194, 35, 3517])).
% 4.45/3.28 tff(3519,plain,
% 4.45/3.28 (~always3(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3076, 3517])).
% 4.45/3.28 tff(3520,plain,
% 4.45/3.28 (~node4(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3211, 35, 3519])).
% 4.45/3.28 tff(3521,plain,
% 4.45/3.28 (xuntil6(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3421, 3520])).
% 4.45/3.28 tff(3522,plain,
% 4.45/3.28 (until5(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3207, 3521])).
% 4.45/3.28 tff(3523,plain,
% 4.45/3.28 (xuntil6(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3201, 155, 3522, 3518])).
% 4.45/3.28 tff(3524,plain,
% 4.45/3.28 (until5(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3190, 3523])).
% 4.45/3.28 tff(3525,plain,
% 4.45/3.28 (~node4(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3177, 35, 3516])).
% 4.45/3.28 tff(3526,plain,
% 4.45/3.28 (xuntil6(s41) | (~until5(s41))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3184, 155, 3525])).
% 4.45/3.28 tff(3527,plain,
% 4.45/3.28 ($false),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3526, 3524, 3515])).
% 4.45/3.28 tff(3528,plain,(always3(s43) | (~until5(s39)) | xuntil6(s43)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.28 tff(3529,plain,
% 4.45/3.28 (always3(s43)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3528, 3411, 3505])).
% 4.45/3.28 tff(3530,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s43)) | (~m_main_v_state(s43, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3531,plain,
% 4.45/3.28 (((~m_main_v_state(s43, c_busy)) | (~always3(s43))) <=> ((~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3532,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s43)) | (~m_main_v_state(s43, c_busy))))),
% 4.45/3.28 inference(monotonicity,[status(thm)],[3531])).
% 4.45/3.28 tff(3533,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy)))),
% 4.45/3.28 inference(transitivity,[status(thm)],[3532, 3530])).
% 4.45/3.28 tff(3534,plain,
% 4.45/3.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s43, c_busy)) | (~always3(s43)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3535,plain,
% 4.45/3.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s43)) | (~m_main_v_state(s43, c_busy))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 4.45/3.28 tff(3536,plain,
% 4.45/3.28 (~m_main_v_state(s43, c_busy)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3535, 75, 3529])).
% 4.45/3.28 tff(3537,plain,
% 4.45/3.28 (always3(s44)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3028, 3529])).
% 4.45/3.28 tff(3538,plain,
% 4.45/3.28 (~m_main_v_state(s44, c_busy)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3475, 75, 3537])).
% 4.45/3.28 tff(3539,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3540,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3541,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s43, c_busy) | m_main_v_state(s43, c_ready)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3540, 3539])).
% 4.45/3.28 tff(3542,plain,
% 4.45/3.28 (m_main_v_state(s43, c_ready)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3541, 118, 3536])).
% 4.45/3.28 tff(3543,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s43, s44)) | node2(s43, s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s43, s44)) | node2(s43, s44))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3544,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s43, s44)) | node2(s43, s44))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3545,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s43, s44)) | node2(s43, s44)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3544, 3543])).
% 4.45/3.28 tff(3546,plain,
% 4.45/3.28 (node2(s43, s44)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3545, 7, 3024])).
% 4.45/3.28 tff(3547,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3548,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3549,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s43, c_ready)) | (~node2(s43, s44)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3548, 3547])).
% 4.45/3.28 tff(3550,plain,
% 4.45/3.28 ((~m_main_v_state(s43, c_ready)) | m_main_v_state(s44, c_busy) | (~m_main_v_request(s43))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3549, 96, 3546])).
% 4.45/3.28 tff(3551,plain,
% 4.45/3.28 (~m_main_v_request(s43)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3550, 3542, 3538])).
% 4.45/3.28 tff(3552,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s43) | (~node4(s43)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s43) | (~node4(s43)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3553,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s43) | (~node4(s43)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3554,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s43) | (~node4(s43))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3553, 3552])).
% 4.45/3.28 tff(3555,plain,
% 4.45/3.28 (~node4(s43)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3554, 17, 3551])).
% 4.45/3.28 tff(3556,plain,
% 4.45/3.28 (node4(s43) | (~until5(s43))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3150, 155, 3505])).
% 4.45/3.28 tff(3557,plain,
% 4.45/3.28 (~until5(s43)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3556, 3555])).
% 4.45/3.28 tff(3558,plain,
% 4.45/3.28 (~xuntil6(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3156, 3557])).
% 4.45/3.28 tff(3559,assumption,(~xuntil6(s42)), introduced(assumption)).
% 4.45/3.28 tff(3560,assumption,(until5(s41)), introduced(assumption)).
% 4.45/3.28 tff(3561,assumption,(~always3(s42)), introduced(assumption)).
% 4.45/3.28 tff(3562,plain,
% 4.45/3.28 (~always3(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3052, 3561])).
% 4.45/3.28 tff(3563,plain,
% 4.45/3.28 (~node4(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3177, 35, 3562])).
% 4.45/3.28 tff(3564,plain,
% 4.45/3.28 (xuntil6(s41) | node4(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3184, 155, 3560])).
% 4.45/3.28 tff(3565,plain,
% 4.45/3.28 (xuntil6(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3564, 3563])).
% 4.45/3.28 tff(3566,plain,
% 4.45/3.28 (until5(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3173, 3565])).
% 4.45/3.28 tff(3567,plain,
% 4.45/3.28 (node4(s42) | (~until5(s42))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3167, 155, 3559])).
% 4.45/3.28 tff(3568,plain,
% 4.45/3.28 (node4(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3567, 3566])).
% 4.45/3.28 tff(3569,plain,
% 4.45/3.28 ($false),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3160, 35, 3561, 3568])).
% 4.45/3.28 tff(3570,plain,(always3(s42) | xuntil6(s42) | (~until5(s41))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.28 tff(3571,plain,
% 4.45/3.28 (always3(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3570, 3560, 3559])).
% 4.45/3.28 tff(3572,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s42)) | (~m_main_v_state(s42, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3573,plain,
% 4.45/3.28 (((~m_main_v_state(s42, c_busy)) | (~always3(s42))) <=> ((~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3574,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s42)) | (~m_main_v_state(s42, c_busy))))),
% 4.45/3.28 inference(monotonicity,[status(thm)],[3573])).
% 4.45/3.28 tff(3575,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy)))),
% 4.45/3.28 inference(transitivity,[status(thm)],[3574, 3572])).
% 4.45/3.28 tff(3576,plain,
% 4.45/3.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s42, c_busy)) | (~always3(s42)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3577,plain,
% 4.45/3.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s42)) | (~m_main_v_state(s42, c_busy))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 4.45/3.28 tff(3578,plain,
% 4.45/3.28 (~m_main_v_state(s42, c_busy)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3577, 75, 3571])).
% 4.45/3.28 tff(3579,assumption,(~m_main_v_state(s43, c_busy)), introduced(assumption)).
% 4.45/3.28 tff(3580,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3581,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3582,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s42, c_busy) | m_main_v_state(s42, c_ready)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3581, 3580])).
% 4.45/3.28 tff(3583,plain,
% 4.45/3.28 (m_main_v_state(s42, c_ready)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3582, 118, 3578])).
% 4.45/3.28 tff(3584,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s42, s43)) | node2(s42, s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s42, s43)) | node2(s42, s43))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3585,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s42, s43)) | node2(s42, s43))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3586,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s42, s43)) | node2(s42, s43)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3585, 3584])).
% 4.45/3.28 tff(3587,plain,
% 4.45/3.28 (node2(s42, s43)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3586, 7, 3036])).
% 4.45/3.28 tff(3588,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3589,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3590,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s42, c_ready)) | (~node2(s42, s43)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 4.45/3.28 tff(3591,plain,
% 4.45/3.28 ((~m_main_v_state(s42, c_ready)) | m_main_v_state(s43, c_busy) | (~m_main_v_request(s42))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3590, 96, 3587])).
% 4.45/3.28 tff(3592,plain,
% 4.45/3.28 (~m_main_v_request(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3591, 3583, 3579])).
% 4.45/3.28 tff(3593,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s42) | (~node4(s42)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s42) | (~node4(s42)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3594,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s42) | (~node4(s42)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3595,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s42) | (~node4(s42))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 4.45/3.28 tff(3596,plain,
% 4.45/3.28 (~node4(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3595, 17, 3592])).
% 4.45/3.28 tff(3597,plain,
% 4.45/3.28 (~until5(s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3567, 3596])).
% 4.45/3.28 tff(3598,plain,
% 4.45/3.28 (~xuntil6(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3173, 3597])).
% 4.45/3.28 tff(3599,plain,
% 4.45/3.28 (node4(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3564, 3598])).
% 4.45/3.28 tff(3600,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s41) | (~node4(s41)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s41) | (~node4(s41)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3601,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s41) | (~node4(s41)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3602,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s41) | (~node4(s41))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 4.45/3.28 tff(3603,plain,
% 4.45/3.28 (m_main_v_request(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3602, 17, 3599])).
% 4.45/3.28 tff(3604,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s41, s42)) | node2(s41, s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s41, s42)) | node2(s41, s42))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3605,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s41, s42)) | node2(s41, s42))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3606,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s41, s42)) | node2(s41, s42)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3605, 3604])).
% 4.45/3.28 tff(3607,plain,
% 4.45/3.28 (node2(s41, s42)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3606, 7, 3048])).
% 4.45/3.28 tff(3608,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3609,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3610,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s41, c_ready)) | (~node2(s41, s42)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 4.45/3.28 tff(3611,plain,
% 4.45/3.28 ((~m_main_v_state(s41, c_ready)) | m_main_v_state(s42, c_busy) | (~m_main_v_request(s41))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3610, 96, 3607])).
% 4.45/3.28 tff(3612,plain,
% 4.45/3.28 (~m_main_v_state(s41, c_ready)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3611, 3603, 3578])).
% 4.45/3.28 tff(3613,plain,
% 4.45/3.28 (always3(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3177, 35, 3599])).
% 4.45/3.28 tff(3614,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3615,plain,
% 4.45/3.28 (((~m_main_v_state(s41, c_busy)) | (~always3(s41))) <=> ((~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3616,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s41)) | (~m_main_v_state(s41, c_busy))))),
% 4.45/3.28 inference(monotonicity,[status(thm)],[3615])).
% 4.45/3.28 tff(3617,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy)))),
% 4.45/3.28 inference(transitivity,[status(thm)],[3616, 3614])).
% 4.45/3.28 tff(3618,plain,
% 4.45/3.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s41, c_busy)) | (~always3(s41)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3619,plain,
% 4.45/3.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s41)) | (~m_main_v_state(s41, c_busy))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 4.45/3.28 tff(3620,plain,
% 4.45/3.28 (~m_main_v_state(s41, c_busy)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3619, 75, 3613])).
% 4.45/3.28 tff(3621,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3622,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3623,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s41, c_busy) | m_main_v_state(s41, c_ready)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3622, 3621])).
% 4.45/3.28 tff(3624,plain,
% 4.45/3.28 ($false),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3623, 118, 3620, 3612])).
% 4.45/3.28 tff(3625,plain,((~until5(s41)) | xuntil6(s42) | m_main_v_state(s43, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.28 tff(3626,plain,
% 4.45/3.28 (~until5(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3625, 3558, 3536])).
% 4.45/3.28 tff(3627,plain,
% 4.45/3.28 (~xuntil6(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3190, 3626])).
% 4.45/3.28 tff(3628,assumption,(~always3(s40)), introduced(assumption)).
% 4.45/3.28 tff(3629,plain,
% 4.45/3.28 (~node4(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3194, 35, 3628])).
% 4.45/3.28 tff(3630,assumption,(~xuntil6(s40)), introduced(assumption)).
% 4.45/3.28 tff(3631,plain,
% 4.45/3.28 (node4(s40) | (~until5(s40))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3201, 155, 3630])).
% 4.45/3.28 tff(3632,plain,
% 4.45/3.28 (~until5(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3631, 3629])).
% 4.45/3.28 tff(3633,plain,
% 4.45/3.28 (~always3(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3076, 3628])).
% 4.45/3.28 tff(3634,plain,
% 4.45/3.28 (~node4(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3211, 35, 3633])).
% 4.45/3.28 tff(3635,plain,
% 4.45/3.28 (xuntil6(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3421, 3634])).
% 4.45/3.28 tff(3636,plain,
% 4.45/3.28 ($false),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3207, 3635, 3632])).
% 4.45/3.28 tff(3637,plain,(always3(s40) | (~until5(s39)) | xuntil6(s40)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.28 tff(3638,plain,
% 4.45/3.28 (always3(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3637, 3411, 3627])).
% 4.45/3.28 tff(3639,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3640,plain,
% 4.45/3.28 (((~m_main_v_state(s40, c_busy)) | (~always3(s40))) <=> ((~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3641,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s40)) | (~m_main_v_state(s40, c_busy))))),
% 4.45/3.28 inference(monotonicity,[status(thm)],[3640])).
% 4.45/3.28 tff(3642,plain,
% 4.45/3.28 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy)))),
% 4.45/3.28 inference(transitivity,[status(thm)],[3641, 3639])).
% 4.45/3.28 tff(3643,plain,
% 4.45/3.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s40, c_busy)) | (~always3(s40)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3644,plain,
% 4.45/3.28 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s40)) | (~m_main_v_state(s40, c_busy))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3643, 3642])).
% 4.45/3.28 tff(3645,plain,
% 4.45/3.28 (~m_main_v_state(s40, c_busy)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3644, 75, 3638])).
% 4.45/3.28 tff(3646,plain,
% 4.45/3.28 (always3(s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3064, 3638])).
% 4.45/3.28 tff(3647,plain,
% 4.45/3.28 (~m_main_v_state(s41, c_busy)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3619, 75, 3646])).
% 4.45/3.28 tff(3648,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3649,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3650,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s40, c_busy) | m_main_v_state(s40, c_ready)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 4.45/3.28 tff(3651,plain,
% 4.45/3.28 (m_main_v_state(s40, c_ready)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3650, 118, 3645])).
% 4.45/3.28 tff(3652,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3653,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s40, s41)) | node2(s40, s41))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3654,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s40, s41)) | node2(s40, s41)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 4.45/3.28 tff(3655,plain,
% 4.45/3.28 (node2(s40, s41)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3654, 7, 3060])).
% 4.45/3.28 tff(3656,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3657,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3658,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s40, c_ready)) | (~node2(s40, s41)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3657, 3656])).
% 4.45/3.28 tff(3659,plain,
% 4.45/3.28 ((~m_main_v_state(s40, c_ready)) | m_main_v_state(s41, c_busy) | (~m_main_v_request(s40))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3658, 96, 3655])).
% 4.45/3.28 tff(3660,plain,
% 4.45/3.28 (~m_main_v_request(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3659, 3651, 3647])).
% 4.45/3.28 tff(3661,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3662,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s40) | (~node4(s40)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3663,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s40) | (~node4(s40))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3662, 3661])).
% 4.45/3.28 tff(3664,plain,
% 4.45/3.28 (~node4(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3663, 17, 3660])).
% 4.45/3.28 tff(3665,plain,
% 4.45/3.28 (node4(s40) | (~until5(s40))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3201, 155, 3627])).
% 4.45/3.28 tff(3666,plain,
% 4.45/3.28 (~until5(s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3665, 3664])).
% 4.45/3.28 tff(3667,plain,
% 4.45/3.28 (~xuntil6(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3207, 3666])).
% 4.45/3.28 tff(3668,plain,
% 4.45/3.28 (node4(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3421, 3667])).
% 4.45/3.28 tff(3669,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3670,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s39) | (~node4(s39)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3671,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s39) | (~node4(s39))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3670, 3669])).
% 4.45/3.28 tff(3672,plain,
% 4.45/3.28 (m_main_v_request(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3671, 17, 3668])).
% 4.45/3.28 tff(3673,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3674,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s39, s40)) | node2(s39, s40))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3675,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s39, s40)) | node2(s39, s40)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3674, 3673])).
% 4.45/3.28 tff(3676,plain,
% 4.45/3.28 (node2(s39, s40)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3675, 7, 3072])).
% 4.45/3.28 tff(3677,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3678,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39)))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3679,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s39, c_ready)) | (~node2(s39, s40)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3678, 3677])).
% 4.45/3.28 tff(3680,plain,
% 4.45/3.28 ((~m_main_v_state(s39, c_ready)) | m_main_v_state(s40, c_busy) | (~m_main_v_request(s39))),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3679, 96, 3676])).
% 4.45/3.28 tff(3681,plain,
% 4.45/3.28 (~m_main_v_state(s39, c_ready)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3680, 3672, 3645])).
% 4.45/3.28 tff(3682,plain,
% 4.45/3.28 (always3(s39)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3211, 35, 3668])).
% 4.45/3.28 tff(3683,plain,
% 4.45/3.28 (~m_main_v_state(s39, c_busy)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[2787, 75, 3682])).
% 4.45/3.28 tff(3684,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3685,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3686,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s39, c_busy) | m_main_v_state(s39, c_ready)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3685, 3684])).
% 4.45/3.28 tff(3687,plain,
% 4.45/3.28 ($false),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3686, 118, 3683, 3681])).
% 4.45/3.28 tff(3688,plain,((~until5(s39)) | xuntil6(s45) | m_main_v_state(s46, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.28 tff(3689,plain,
% 4.45/3.28 (xuntil6(s45)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3688, 3409, 2991])).
% 4.45/3.28 tff(3690,plain,
% 4.45/3.28 (until5(s46)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3110, 3689])).
% 4.45/3.28 tff(3691,plain,
% 4.45/3.28 (node4(s46)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3105, 3690])).
% 4.45/3.28 tff(3692,assumption,(~m_main_v_state(s46, c_ready)), introduced(assumption)).
% 4.45/3.28 tff(3693,plain,
% 4.45/3.28 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3694,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3695,plain,
% 4.45/3.28 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s46, c_busy) | m_main_v_state(s46, c_ready)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3694, 3693])).
% 4.45/3.28 tff(3696,plain,
% 4.45/3.28 ($false),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3695, 118, 3483, 3692])).
% 4.45/3.28 tff(3697,plain,(m_main_v_state(s46, c_ready) | m_main_v_state(s46, c_busy)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.28 tff(3698,plain,
% 4.45/3.28 (m_main_v_state(s46, c_ready)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3697, 3409])).
% 4.45/3.28 tff(3699,plain,
% 4.45/3.28 (succ(s46, s47) <=> succ(s46, s47)),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3700,axiom,(succ(s46, s47)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound47')).
% 4.45/3.28 tff(3701,plain,
% 4.45/3.28 (succ(s46, s47)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3700, 3699])).
% 4.45/3.28 tff(3702,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3703,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s46, s47)) | trans(s46, s47))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3704,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s46, s47)) | trans(s46, s47)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3703, 3702])).
% 4.45/3.28 tff(3705,plain,
% 4.45/3.28 (trans(s46, s47)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3704, 3701, 46])).
% 4.45/3.28 tff(3706,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3707,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s46, s47)) | (~always3(s46)) | always3(s47))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3708,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s46, s47)) | (~always3(s46)) | always3(s47)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3707, 3706])).
% 4.45/3.28 tff(3709,plain,
% 4.45/3.28 ((~always3(s46)) | always3(s47)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3708, 63, 3705])).
% 4.45/3.28 tff(3710,plain,
% 4.45/3.28 (always3(s47)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[3709, 3402])).
% 4.45/3.28 tff(3711,plain,
% 4.45/3.28 (~m_main_v_state(s47, c_busy)),
% 4.45/3.28 inference(unit_resolution,[status(thm)],[107, 75, 3710])).
% 4.45/3.28 tff(3712,plain,
% 4.45/3.28 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47))),
% 4.45/3.28 inference(rewrite,[status(thm)],[])).
% 4.45/3.28 tff(3713,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s46, s47)) | node2(s46, s47))),
% 4.45/3.28 inference(quant_inst,[status(thm)],[])).
% 4.45/3.28 tff(3714,plain,
% 4.45/3.28 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s46, s47)) | node2(s46, s47)),
% 4.45/3.28 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 4.45/3.29 tff(3715,plain,
% 4.45/3.29 (node2(s46, s47)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3714, 7, 3705])).
% 4.45/3.29 tff(3716,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3717,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3718,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s46, c_ready)) | (~node2(s46, s47)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3717, 3716])).
% 4.45/3.29 tff(3719,plain,
% 4.45/3.29 ((~m_main_v_state(s46, c_ready)) | m_main_v_state(s47, c_busy) | (~m_main_v_request(s46))),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3718, 96, 3715])).
% 4.45/3.29 tff(3720,plain,
% 4.45/3.29 (~m_main_v_request(s46)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3719, 3711, 3698])).
% 4.45/3.29 tff(3721,plain,
% 4.45/3.29 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3722,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s46) | (~node4(s46)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3723,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s46) | (~node4(s46))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3722, 3721])).
% 4.45/3.29 tff(3724,plain,
% 4.45/3.29 ($false),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3723, 17, 3720, 3691])).
% 4.45/3.29 tff(3725,plain,(xuntil6(s46)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.29 tff(3726,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3727,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3728,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s46, s47)) | (~xuntil6(s46)) | until5(s47)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3727, 3726])).
% 4.45/3.29 tff(3729,plain,
% 4.45/3.29 ((~xuntil6(s46)) | until5(s47)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3728, 3701, 173])).
% 4.45/3.29 tff(3730,plain,
% 4.45/3.29 (until5(s47)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3729, 3725])).
% 4.45/3.29 tff(3731,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s47) | node4(s47) | (~until5(s47)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3732,plain,
% 4.45/3.29 ((node4(s47) | (~until5(s47)) | xuntil6(s47)) <=> (xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3733,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s47) | node4(s47) | (~until5(s47))))),
% 4.45/3.29 inference(monotonicity,[status(thm)],[3732])).
% 4.45/3.29 tff(3734,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47)))),
% 4.45/3.29 inference(transitivity,[status(thm)],[3733, 3731])).
% 4.45/3.29 tff(3735,plain,
% 4.45/3.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s47) | (~until5(s47)) | xuntil6(s47))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3736,plain,
% 4.45/3.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s47) | node4(s47) | (~until5(s47))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 4.45/3.29 tff(3737,plain,
% 4.45/3.29 (xuntil6(s47) | node4(s47)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3736, 155, 3730])).
% 4.45/3.29 tff(3738,plain,
% 4.45/3.29 (xuntil6(s47)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3737, 123])).
% 4.45/3.29 tff(3739,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3740,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3741,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s47, s48)) | (~xuntil6(s47)) | until5(s48)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3740, 3739])).
% 4.45/3.29 tff(3742,plain,
% 4.45/3.29 ((~xuntil6(s47)) | until5(s48)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3741, 49, 173])).
% 4.45/3.29 tff(3743,plain,
% 4.45/3.29 (until5(s48)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3742, 3738])).
% 4.45/3.29 tff(3744,assumption,(node4(s48)), introduced(assumption)).
% 4.45/3.29 tff(3745,plain,
% 4.45/3.29 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s48) | (~node4(s48)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s48) | (~node4(s48)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3746,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s48) | (~node4(s48)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3747,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s48) | (~node4(s48))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3746, 3745])).
% 4.45/3.29 tff(3748,plain,
% 4.45/3.29 (m_main_v_request(s48)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3747, 17, 3744])).
% 4.45/3.29 tff(3749,plain,
% 4.45/3.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3750,plain,
% 4.45/3.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s48) | (~node4(s48)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3751,plain,
% 4.45/3.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s48) | (~node4(s48))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 4.45/3.29 tff(3752,plain,
% 4.45/3.29 (always3(s48)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3751, 35, 3744])).
% 4.45/3.29 tff(3753,plain,
% 4.45/3.29 (succ(s48, s49) <=> succ(s48, s49)),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3754,axiom,(succ(s48, s49)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound49')).
% 4.45/3.29 tff(3755,plain,
% 4.45/3.29 (succ(s48, s49)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 4.45/3.29 tff(3756,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3757,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s48, s49)) | trans(s48, s49))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3758,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s48, s49)) | trans(s48, s49)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 4.45/3.29 tff(3759,plain,
% 4.45/3.29 (trans(s48, s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3758, 3755, 46])).
% 4.45/3.29 tff(3760,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3761,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s48, s49)) | (~always3(s48)) | always3(s49))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3762,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s48, s49)) | (~always3(s48)) | always3(s49)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3761, 3760])).
% 4.45/3.29 tff(3763,plain,
% 4.45/3.29 ((~always3(s48)) | always3(s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3762, 63, 3759])).
% 4.45/3.29 tff(3764,plain,
% 4.45/3.29 (always3(s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3763, 3752])).
% 4.45/3.29 tff(3765,plain,
% 4.45/3.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s49)) | (~m_main_v_state(s49, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3766,plain,
% 4.45/3.29 (((~m_main_v_state(s49, c_busy)) | (~always3(s49))) <=> ((~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3767,plain,
% 4.45/3.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s49)) | (~m_main_v_state(s49, c_busy))))),
% 4.45/3.29 inference(monotonicity,[status(thm)],[3766])).
% 4.45/3.29 tff(3768,plain,
% 4.45/3.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy)))),
% 4.45/3.29 inference(transitivity,[status(thm)],[3767, 3765])).
% 4.45/3.29 tff(3769,plain,
% 4.45/3.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s49, c_busy)) | (~always3(s49)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3770,plain,
% 4.45/3.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s49)) | (~m_main_v_state(s49, c_busy))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3769, 3768])).
% 4.45/3.29 tff(3771,plain,
% 4.45/3.29 (~m_main_v_state(s49, c_busy)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3770, 75, 3764])).
% 4.45/3.29 tff(3772,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s48, s49)) | node2(s48, s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s48, s49)) | node2(s48, s49))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3773,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s48, s49)) | node2(s48, s49))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3774,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s48, s49)) | node2(s48, s49)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3773, 3772])).
% 4.45/3.29 tff(3775,plain,
% 4.45/3.29 (node2(s48, s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3774, 7, 3759])).
% 4.45/3.29 tff(3776,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3777,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3778,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s48, c_ready)) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3777, 3776])).
% 4.45/3.29 tff(3779,plain,
% 4.45/3.29 ((~m_main_v_state(s48, c_ready)) | m_main_v_state(s49, c_busy) | (~m_main_v_request(s48))),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3778, 96, 3775])).
% 4.45/3.29 tff(3780,plain,
% 4.45/3.29 (~m_main_v_state(s48, c_ready)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3779, 3771, 3748])).
% 4.45/3.29 tff(3781,plain,
% 4.45/3.29 (~m_main_v_state(s48, c_busy)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[81, 75, 3752])).
% 4.45/3.29 tff(3782,plain,
% 4.45/3.29 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3783,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3784,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s48, c_busy) | m_main_v_state(s48, c_ready)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3783, 3782])).
% 4.45/3.29 tff(3785,plain,
% 4.45/3.29 ($false),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3784, 118, 3781, 3780])).
% 4.45/3.29 tff(3786,plain,(~node4(s48)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.29 tff(3787,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s48) | node4(s48) | (~until5(s48)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3788,plain,
% 4.45/3.29 ((node4(s48) | (~until5(s48)) | xuntil6(s48)) <=> (xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3789,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s48) | node4(s48) | (~until5(s48))))),
% 4.45/3.29 inference(monotonicity,[status(thm)],[3788])).
% 4.45/3.29 tff(3790,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48)))),
% 4.45/3.29 inference(transitivity,[status(thm)],[3789, 3787])).
% 4.45/3.29 tff(3791,plain,
% 4.45/3.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s48) | (~until5(s48)) | xuntil6(s48))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3792,plain,
% 4.45/3.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s48) | node4(s48) | (~until5(s48))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3791, 3790])).
% 4.45/3.29 tff(3793,plain,
% 4.45/3.29 (xuntil6(s48) | (~until5(s48))),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3792, 155, 3786])).
% 4.45/3.29 tff(3794,plain,
% 4.45/3.29 (xuntil6(s48)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3793, 3743])).
% 4.45/3.29 tff(3795,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3796,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3797,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s48, s49)) | (~xuntil6(s48)) | until5(s49)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3796, 3795])).
% 4.45/3.29 tff(3798,plain,
% 4.45/3.29 ((~xuntil6(s48)) | until5(s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3797, 3755, 173])).
% 4.45/3.29 tff(3799,plain,
% 4.45/3.29 (until5(s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3798, 3794])).
% 4.45/3.29 tff(3800,assumption,(node4(s49)), introduced(assumption)).
% 4.45/3.29 tff(3801,plain,
% 4.45/3.29 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s49) | (~node4(s49)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s49) | (~node4(s49)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3802,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s49) | (~node4(s49)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3803,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s49) | (~node4(s49))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3802, 3801])).
% 4.45/3.29 tff(3804,plain,
% 4.45/3.29 (m_main_v_request(s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3803, 17, 3800])).
% 4.45/3.29 tff(3805,plain,
% 4.45/3.29 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3806,plain,
% 4.45/3.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s49) | (~node4(s49)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3807,plain,
% 4.45/3.29 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s49) | (~node4(s49))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3806, 3805])).
% 4.45/3.29 tff(3808,plain,
% 4.45/3.29 (always3(s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3807, 35, 3800])).
% 4.45/3.29 tff(3809,plain,
% 4.45/3.29 (succ(s49, s50) <=> succ(s49, s50)),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3810,axiom,(succ(s49, s50)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound50')).
% 4.45/3.29 tff(3811,plain,
% 4.45/3.29 (succ(s49, s50)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 4.45/3.29 tff(3812,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3813,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s49, s50)) | trans(s49, s50))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3814,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s49, s50)) | trans(s49, s50)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3813, 3812])).
% 4.45/3.29 tff(3815,plain,
% 4.45/3.29 (trans(s49, s50)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3814, 3811, 46])).
% 4.45/3.29 tff(3816,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s50)) | (~always3(s49)) | always3(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s49, s50)) | (~always3(s49)) | always3(s50))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3817,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s49, s50)) | (~always3(s49)) | always3(s50))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3818,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s49, s50)) | (~always3(s49)) | always3(s50)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3817, 3816])).
% 4.45/3.29 tff(3819,plain,
% 4.45/3.29 ((~always3(s49)) | always3(s50)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3818, 63, 3815])).
% 4.45/3.29 tff(3820,plain,
% 4.45/3.29 (always3(s50)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3819, 3808])).
% 4.45/3.29 tff(3821,plain,
% 4.45/3.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s50)) | (~m_main_v_state(s50, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3822,plain,
% 4.45/3.29 (((~m_main_v_state(s50, c_busy)) | (~always3(s50))) <=> ((~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3823,plain,
% 4.45/3.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s50)) | (~m_main_v_state(s50, c_busy))))),
% 4.45/3.29 inference(monotonicity,[status(thm)],[3822])).
% 4.45/3.29 tff(3824,plain,
% 4.45/3.29 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy)))),
% 4.45/3.29 inference(transitivity,[status(thm)],[3823, 3821])).
% 4.45/3.29 tff(3825,plain,
% 4.45/3.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s50, c_busy)) | (~always3(s50)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3826,plain,
% 4.45/3.29 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s50)) | (~m_main_v_state(s50, c_busy))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 4.45/3.29 tff(3827,plain,
% 4.45/3.29 (~m_main_v_state(s50, c_busy)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3826, 75, 3820])).
% 4.45/3.29 tff(3828,plain,
% 4.45/3.29 (~m_main_v_state(s49, c_busy)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3770, 75, 3808])).
% 4.45/3.29 tff(3829,assumption,(~m_main_v_state(s49, c_busy)), introduced(assumption)).
% 4.45/3.29 tff(3830,assumption,(~m_main_v_state(s49, c_ready)), introduced(assumption)).
% 4.45/3.29 tff(3831,plain,
% 4.45/3.29 (^[Y: $i, X: $i] : refl((node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)))),
% 4.45/3.29 inference(bind,[status(th)],[])).
% 4.45/3.29 tff(3832,plain,
% 4.45/3.29 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 4.45/3.29 inference(quant_intro,[status(thm)],[3831])).
% 4.45/3.29 tff(3833,plain,
% 4.45/3.29 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy)) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3834,plain,
% 4.45/3.29 (^[Y: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) <=> (m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy))), (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> ((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)))), rewrite(((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> (node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy))), (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) <=> (node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)))), ((((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> ((node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))))), rewrite(((node1(X) | m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | (~node2(X, Y))) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))), ((((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))))),
% 4.45/3.29 inference(bind,[status(th)],[])).
% 4.45/3.29 tff(3835,plain,
% 4.45/3.29 (![Y: $i, X: $i] : (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y))) <=> ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 4.45/3.29 inference(quant_intro,[status(thm)],[3834])).
% 4.45/3.29 tff(3836,axiom,(![Y: $i, X: $i] : (((m_main_v_state(Y, c_ready) | m_main_v_state(Y, c_busy)) | node1(X)) | (~node2(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 4.45/3.29 tff(3837,plain,
% 4.45/3.29 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 4.45/3.29 tff(3838,plain,
% 4.45/3.29 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3837, 3833])).
% 4.45/3.29 tff(3839,plain,(
% 4.45/3.29 ![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 4.45/3.29 inference(skolemize,[status(sab)],[3838])).
% 4.45/3.29 tff(3840,plain,
% 4.45/3.29 (![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3839, 3832])).
% 4.45/3.29 tff(3841,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s48, s49)) | m_main_v_state(s49, c_busy) | node1(s48) | m_main_v_state(s49, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | node1(s48) | m_main_v_state(s49, c_ready))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3842,plain,
% 4.45/3.29 ((node1(s48) | m_main_v_state(s49, c_ready) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy)) <=> ((~node2(s48, s49)) | m_main_v_state(s49, c_busy) | node1(s48) | m_main_v_state(s49, c_ready))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3843,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s48) | m_main_v_state(s49, c_ready) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s48, s49)) | m_main_v_state(s49, c_busy) | node1(s48) | m_main_v_state(s49, c_ready)))),
% 4.45/3.29 inference(monotonicity,[status(thm)],[3842])).
% 4.45/3.29 tff(3844,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s48) | m_main_v_state(s49, c_ready) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | node1(s48) | m_main_v_state(s49, c_ready))),
% 4.45/3.29 inference(transitivity,[status(thm)],[3843, 3841])).
% 4.45/3.29 tff(3845,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s48) | m_main_v_state(s49, c_ready) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3846,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s48, s49)) | m_main_v_state(s49, c_busy) | node1(s48) | m_main_v_state(s49, c_ready)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3845, 3844])).
% 4.45/3.29 tff(3847,plain,
% 4.45/3.29 (m_main_v_state(s49, c_busy) | node1(s48) | m_main_v_state(s49, c_ready)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3846, 3840, 3775])).
% 4.45/3.29 tff(3848,plain,
% 4.45/3.29 (node1(s48)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3847, 3829, 3830])).
% 4.45/3.29 tff(3849,plain,
% 4.45/3.29 (^[X: $i] : refl((m_main_v_state(X, c_ready) | (~node1(X))) <=> (m_main_v_state(X, c_ready) | (~node1(X))))),
% 4.45/3.29 inference(bind,[status(th)],[])).
% 4.45/3.29 tff(3850,plain,
% 4.45/3.29 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 4.45/3.29 inference(quant_intro,[status(thm)],[3849])).
% 4.45/3.29 tff(3851,plain,
% 4.45/3.29 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X))) <=> ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3852,axiom,(![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_4')).
% 4.45/3.29 tff(3853,plain,
% 4.45/3.29 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3852, 3851])).
% 4.45/3.29 tff(3854,plain,(
% 4.45/3.29 ![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 4.45/3.29 inference(skolemize,[status(sab)],[3853])).
% 4.45/3.29 tff(3855,plain,
% 4.45/3.29 (![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3854, 3850])).
% 4.45/3.29 tff(3856,plain,
% 4.45/3.29 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s48, c_ready) | (~node1(s48)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s48, c_ready) | (~node1(s48)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3857,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s48, c_ready) | (~node1(s48)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3858,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s48, c_ready) | (~node1(s48))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3857, 3856])).
% 4.45/3.29 tff(3859,plain,
% 4.45/3.29 (m_main_v_state(s48, c_ready)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3858, 3855, 3848])).
% 4.45/3.29 tff(3860,plain,
% 4.45/3.29 (^[X: $i] : refl((m_main_v_request(X) | (~node1(X))) <=> (m_main_v_request(X) | (~node1(X))))),
% 4.45/3.29 inference(bind,[status(th)],[])).
% 4.45/3.29 tff(3861,plain,
% 4.45/3.29 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 4.45/3.29 inference(quant_intro,[status(thm)],[3860])).
% 4.45/3.29 tff(3862,plain,
% 4.45/3.29 (![X: $i] : (m_main_v_request(X) | (~node1(X))) <=> ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3863,axiom,(![X: $i] : (m_main_v_request(X) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_5')).
% 4.45/3.29 tff(3864,plain,
% 4.45/3.29 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3863, 3862])).
% 4.45/3.29 tff(3865,plain,(
% 4.45/3.29 ![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 4.45/3.29 inference(skolemize,[status(sab)],[3864])).
% 4.45/3.29 tff(3866,plain,
% 4.45/3.29 (![X: $i] : (m_main_v_request(X) | (~node1(X)))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3865, 3861])).
% 4.45/3.29 tff(3867,plain,
% 4.45/3.29 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s48) | (~node1(s48)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s48) | (~node1(s48)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3868,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s48) | (~node1(s48)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3869,plain,
% 4.45/3.29 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s48) | (~node1(s48))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3868, 3867])).
% 4.45/3.29 tff(3870,plain,
% 4.45/3.29 (m_main_v_request(s48)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3869, 3866, 3848])).
% 4.45/3.29 tff(3871,plain,
% 4.45/3.29 ($false),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3779, 3870, 3859, 3829])).
% 4.45/3.29 tff(3872,plain,(m_main_v_state(s49, c_busy) | m_main_v_state(s49, c_ready)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.29 tff(3873,plain,
% 4.45/3.29 (m_main_v_state(s49, c_ready)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3872, 3828])).
% 4.45/3.29 tff(3874,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s50)) | node2(s49, s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s50)) | node2(s49, s50))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3875,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s49, s50)) | node2(s49, s50))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3876,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s49, s50)) | node2(s49, s50)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3875, 3874])).
% 4.45/3.29 tff(3877,plain,
% 4.45/3.29 (node2(s49, s50)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3876, 7, 3815])).
% 4.45/3.29 tff(3878,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3879,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49)))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3880,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s49, c_ready)) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3879, 3878])).
% 4.45/3.29 tff(3881,plain,
% 4.45/3.29 ((~m_main_v_state(s49, c_ready)) | m_main_v_state(s50, c_busy) | (~m_main_v_request(s49))),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3880, 96, 3877])).
% 4.45/3.29 tff(3882,plain,
% 4.45/3.29 ($false),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3881, 3873, 3827, 3804])).
% 4.45/3.29 tff(3883,plain,(~node4(s49)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.29 tff(3884,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s49) | node4(s49) | (~until5(s49)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3885,plain,
% 4.45/3.29 ((node4(s49) | (~until5(s49)) | xuntil6(s49)) <=> (xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3886,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s49) | node4(s49) | (~until5(s49))))),
% 4.45/3.29 inference(monotonicity,[status(thm)],[3885])).
% 4.45/3.29 tff(3887,plain,
% 4.45/3.29 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49)))),
% 4.45/3.29 inference(transitivity,[status(thm)],[3886, 3884])).
% 4.45/3.29 tff(3888,plain,
% 4.45/3.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s49) | (~until5(s49)) | xuntil6(s49))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3889,plain,
% 4.45/3.29 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s49) | node4(s49) | (~until5(s49))),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 4.45/3.29 tff(3890,plain,
% 4.45/3.29 (xuntil6(s49) | (~until5(s49))),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3889, 155, 3883])).
% 4.45/3.29 tff(3891,plain,
% 4.45/3.29 (xuntil6(s49)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3890, 3799])).
% 4.45/3.29 tff(3892,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3893,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3894,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s49, s50)) | (~xuntil6(s49)) | until5(s50)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3893, 3892])).
% 4.45/3.29 tff(3895,plain,
% 4.45/3.29 ((~xuntil6(s49)) | until5(s50)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3894, 3811, 173])).
% 4.45/3.29 tff(3896,plain,
% 4.45/3.29 (until5(s50)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3895, 3891])).
% 4.45/3.29 tff(3897,assumption,(~xuntil6(s52)), introduced(assumption)).
% 4.45/3.29 tff(3898,assumption,(~always3(s52)), introduced(assumption)).
% 4.45/3.29 tff(3899,plain,
% 4.45/3.29 (succ(s51, s52) <=> succ(s51, s52)),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3900,axiom,(succ(s51, s52)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound52')).
% 4.45/3.29 tff(3901,plain,
% 4.45/3.29 (succ(s51, s52)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3900, 3899])).
% 4.45/3.29 tff(3902,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52))),
% 4.45/3.29 inference(rewrite,[status(thm)],[])).
% 4.45/3.29 tff(3903,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s51, s52)) | trans(s51, s52))),
% 4.45/3.29 inference(quant_inst,[status(thm)],[])).
% 4.45/3.29 tff(3904,plain,
% 4.45/3.29 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s51, s52)) | trans(s51, s52)),
% 4.45/3.29 inference(modus_ponens,[status(thm)],[3903, 3902])).
% 4.45/3.29 tff(3905,plain,
% 4.45/3.29 (trans(s51, s52)),
% 4.45/3.29 inference(unit_resolution,[status(thm)],[3904, 3901, 46])).
% 4.45/3.29 tff(3906,plain,
% 4.45/3.29 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s51, s52)) | (~always3(s51)) | always3(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s51, s52)) | (~always3(s51)) | always3(s52))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3907,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s51, s52)) | (~always3(s51)) | always3(s52))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(3908,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s51, s52)) | (~always3(s51)) | always3(s52)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 4.45/3.30 tff(3909,plain,
% 4.45/3.30 ((~always3(s51)) | always3(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3908, 63, 3905])).
% 4.45/3.30 tff(3910,plain,
% 4.45/3.30 (~always3(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3909, 3898])).
% 4.45/3.30 tff(3911,plain,
% 4.45/3.30 (succ(s50, s51) <=> succ(s50, s51)),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3912,axiom,(succ(s50, s51)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound51')).
% 4.45/3.30 tff(3913,plain,
% 4.45/3.30 (succ(s50, s51)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3912, 3911])).
% 4.45/3.30 tff(3914,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3915,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s50, s51)) | trans(s50, s51))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(3916,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s50, s51)) | trans(s50, s51)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3915, 3914])).
% 4.45/3.30 tff(3917,plain,
% 4.45/3.30 (trans(s50, s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3916, 3913, 46])).
% 4.45/3.30 tff(3918,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s50, s51)) | (~always3(s50)) | always3(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s50, s51)) | (~always3(s50)) | always3(s51))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3919,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s50, s51)) | (~always3(s50)) | always3(s51))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(3920,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s50, s51)) | (~always3(s50)) | always3(s51)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3919, 3918])).
% 4.45/3.30 tff(3921,plain,
% 4.45/3.30 ((~always3(s50)) | always3(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3920, 63, 3917])).
% 4.45/3.30 tff(3922,plain,
% 4.45/3.30 (~always3(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3921, 3910])).
% 4.45/3.30 tff(3923,plain,
% 4.45/3.30 (~always3(s49)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3819, 3922])).
% 4.45/3.30 tff(3924,plain,
% 4.45/3.30 (~always3(s48)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3763, 3923])).
% 4.45/3.30 tff(3925,plain,
% 4.45/3.30 (~always3(s47)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[67, 3924])).
% 4.45/3.30 tff(3926,plain,
% 4.45/3.30 (~always3(s46)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3709, 3925])).
% 4.45/3.30 tff(3927,plain,
% 4.45/3.30 (~always3(s45)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3004, 3926])).
% 4.45/3.30 tff(3928,plain,
% 4.45/3.30 (~always3(s44)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3016, 3927])).
% 4.45/3.30 tff(3929,plain,
% 4.45/3.30 (~always3(s43)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3028, 3928])).
% 4.45/3.30 tff(3930,plain,
% 4.45/3.30 (~always3(s42)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3040, 3929])).
% 4.45/3.30 tff(3931,plain,
% 4.45/3.30 (~always3(s41)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3052, 3930])).
% 4.45/3.30 tff(3932,plain,
% 4.45/3.30 (~always3(s40)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3064, 3931])).
% 4.45/3.30 tff(3933,plain,
% 4.45/3.30 (~always3(s39)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3076, 3932])).
% 4.45/3.30 tff(3934,plain,
% 4.45/3.30 (~always3(s38)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2780, 3933])).
% 4.45/3.30 tff(3935,plain,
% 4.45/3.30 (~always3(s37)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2615, 3934])).
% 4.45/3.30 tff(3936,plain,
% 4.45/3.30 (~always3(s36)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2644, 3935])).
% 4.45/3.30 tff(3937,plain,
% 4.45/3.30 (~always3(s35)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2656, 3936])).
% 4.45/3.30 tff(3938,plain,
% 4.45/3.30 (~always3(s34)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2668, 3937])).
% 4.45/3.30 tff(3939,plain,
% 4.45/3.30 (~always3(s33)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2680, 3938])).
% 4.45/3.30 tff(3940,plain,
% 4.45/3.30 (~always3(s32)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2547, 3939])).
% 4.45/3.30 tff(3941,plain,
% 4.45/3.30 (~always3(s31)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2509, 3940])).
% 4.45/3.30 tff(3942,plain,
% 4.45/3.30 (~always3(s30)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[1564, 3941])).
% 4.45/3.30 tff(3943,plain,
% 4.45/3.30 (~always3(s29)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[994, 3942])).
% 4.45/3.30 tff(3944,assumption,(~always3(s29)), introduced(assumption)).
% 4.45/3.30 tff(3945,plain,
% 4.45/3.30 (~always3(s28)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[1039, 3944])).
% 4.45/3.30 tff(3946,plain,
% 4.45/3.30 (xuntil6(s28)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[1677, 3945, 982])).
% 4.45/3.30 tff(3947,plain,
% 4.45/3.30 (until5(s29)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[1030, 3946])).
% 4.45/3.30 tff(3948,assumption,(~xuntil6(s29)), introduced(assumption)).
% 4.45/3.30 tff(3949,plain,
% 4.45/3.30 (node4(s29) | (~until5(s29))),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[1022, 155, 3948])).
% 4.45/3.30 tff(3950,plain,
% 4.45/3.30 (node4(s29)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3949, 3947])).
% 4.45/3.30 tff(3951,plain,
% 4.45/3.30 ($false),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[998, 35, 3944, 3950])).
% 4.45/3.30 tff(3952,plain,(always3(s29) | xuntil6(s29) | (~until5(s12))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.30 tff(3953,plain,
% 4.45/3.30 (always3(s29) | xuntil6(s29)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3952, 980])).
% 4.45/3.30 tff(3954,plain,
% 4.45/3.30 (xuntil6(s29)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3953, 3943])).
% 4.45/3.30 tff(3955,plain,
% 4.45/3.30 (until5(s30)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[1015, 3954])).
% 4.45/3.30 tff(3956,assumption,(~always3(s51)), introduced(assumption)).
% 4.45/3.30 tff(3957,plain,
% 4.45/3.30 (~always3(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3921, 3956])).
% 4.45/3.30 tff(3958,plain,
% 4.45/3.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3959,plain,
% 4.45/3.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s50) | (~node4(s50)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(3960,plain,
% 4.45/3.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s50) | (~node4(s50))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3959, 3958])).
% 4.45/3.30 tff(3961,plain,
% 4.45/3.30 (~node4(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3960, 35, 3957])).
% 4.45/3.30 tff(3962,plain,
% 4.45/3.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3963,plain,
% 4.45/3.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s51) | (~node4(s51)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(3964,plain,
% 4.45/3.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s51) | (~node4(s51))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3963, 3962])).
% 4.45/3.30 tff(3965,plain,
% 4.45/3.30 (~node4(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3964, 35, 3956])).
% 4.45/3.30 tff(3966,assumption,(~xuntil6(s51)), introduced(assumption)).
% 4.45/3.30 tff(3967,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s51) | node4(s51) | (~until5(s51)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3968,plain,
% 4.45/3.30 ((node4(s51) | (~until5(s51)) | xuntil6(s51)) <=> (xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3969,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s51) | node4(s51) | (~until5(s51))))),
% 4.45/3.30 inference(monotonicity,[status(thm)],[3968])).
% 4.45/3.30 tff(3970,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51)))),
% 4.45/3.30 inference(transitivity,[status(thm)],[3969, 3967])).
% 4.45/3.30 tff(3971,plain,
% 4.45/3.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s51) | (~until5(s51)) | xuntil6(s51))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(3972,plain,
% 4.45/3.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s51) | node4(s51) | (~until5(s51))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3971, 3970])).
% 4.45/3.30 tff(3973,plain,
% 4.45/3.30 (node4(s51) | (~until5(s51))),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3972, 155, 3966])).
% 4.45/3.30 tff(3974,plain,
% 4.45/3.30 (~until5(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3973, 3965])).
% 4.45/3.30 tff(3975,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3976,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(3977,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s50, s51)) | (~xuntil6(s50)) | until5(s51)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 4.45/3.30 tff(3978,plain,
% 4.45/3.30 ((~xuntil6(s50)) | until5(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3977, 3913, 173])).
% 4.45/3.30 tff(3979,plain,
% 4.45/3.30 (~xuntil6(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3978, 3974])).
% 4.45/3.30 tff(3980,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s50) | node4(s50) | (~until5(s50)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3981,plain,
% 4.45/3.30 ((node4(s50) | (~until5(s50)) | xuntil6(s50)) <=> (xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(3982,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s50) | node4(s50) | (~until5(s50))))),
% 4.45/3.30 inference(monotonicity,[status(thm)],[3981])).
% 4.45/3.30 tff(3983,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50)))),
% 4.45/3.30 inference(transitivity,[status(thm)],[3982, 3980])).
% 4.45/3.30 tff(3984,plain,
% 4.45/3.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s50) | (~until5(s50)) | xuntil6(s50))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(3985,plain,
% 4.45/3.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s50) | node4(s50) | (~until5(s50))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[3984, 3983])).
% 4.45/3.30 tff(3986,plain,
% 4.45/3.30 (~until5(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3985, 155, 3979, 3961])).
% 4.45/3.30 tff(3987,plain,
% 4.45/3.30 (~xuntil6(s49)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3895, 3986])).
% 4.45/3.30 tff(3988,plain,
% 4.45/3.30 (~always3(s49)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3819, 3957])).
% 4.45/3.30 tff(3989,plain,
% 4.45/3.30 (~always3(s48)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3763, 3988])).
% 4.45/3.30 tff(3990,plain,
% 4.45/3.30 (~node4(s48)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3751, 35, 3989])).
% 4.45/3.30 tff(3991,plain,
% 4.45/3.30 (~always3(s47)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[67, 3989])).
% 4.45/3.30 tff(3992,plain,
% 4.45/3.30 (~node4(s47)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[38, 35, 3991])).
% 4.45/3.30 tff(3993,plain,
% 4.45/3.30 (~always3(s46)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3709, 3991])).
% 4.45/3.30 tff(3994,plain,
% 4.45/3.30 (xuntil6(s46)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3257, 3993, 3224])).
% 4.45/3.30 tff(3995,plain,
% 4.45/3.30 (until5(s47)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3729, 3994])).
% 4.45/3.30 tff(3996,plain,
% 4.45/3.30 (xuntil6(s47) | node4(s47)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3736, 155, 3995])).
% 4.45/3.30 tff(3997,plain,
% 4.45/3.30 (xuntil6(s47)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3996, 3992])).
% 4.45/3.30 tff(3998,plain,
% 4.45/3.30 (until5(s48)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3742, 3997])).
% 4.45/3.30 tff(3999,plain,
% 4.45/3.30 (xuntil6(s48)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3792, 155, 3998, 3990])).
% 4.45/3.30 tff(4000,plain,
% 4.45/3.30 (until5(s49)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3798, 3999])).
% 4.45/3.30 tff(4001,plain,
% 4.45/3.30 (~node4(s49)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3807, 35, 3988])).
% 4.45/3.30 tff(4002,plain,
% 4.45/3.30 (xuntil6(s49) | (~until5(s49))),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3889, 155, 4001])).
% 4.45/3.30 tff(4003,plain,
% 4.45/3.30 ($false),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4002, 4000, 3987])).
% 4.45/3.30 tff(4004,plain,(always3(s51) | xuntil6(s51) | (~until5(s30))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.30 tff(4005,plain,
% 4.45/3.30 (xuntil6(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4004, 3955, 3910])).
% 4.45/3.30 tff(4006,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4007,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4008,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s51, s52)) | (~xuntil6(s51)) | until5(s52)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 4.45/3.30 tff(4009,plain,
% 4.45/3.30 ((~xuntil6(s51)) | until5(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4008, 3901, 173])).
% 4.45/3.30 tff(4010,plain,
% 4.45/3.30 (until5(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4009, 4005])).
% 4.45/3.30 tff(4011,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s52) | node4(s52) | (~until5(s52)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4012,plain,
% 4.45/3.30 ((node4(s52) | (~until5(s52)) | xuntil6(s52)) <=> (xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4013,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s52) | node4(s52) | (~until5(s52))))),
% 4.45/3.30 inference(monotonicity,[status(thm)],[4012])).
% 4.45/3.30 tff(4014,plain,
% 4.45/3.30 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52)))),
% 4.45/3.30 inference(transitivity,[status(thm)],[4013, 4011])).
% 4.45/3.30 tff(4015,plain,
% 4.45/3.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s52) | (~until5(s52)) | xuntil6(s52))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4016,plain,
% 4.45/3.30 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s52) | node4(s52) | (~until5(s52))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4015, 4014])).
% 4.45/3.30 tff(4017,plain,
% 4.45/3.30 (node4(s52) | (~until5(s52))),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4016, 155, 3897])).
% 4.45/3.30 tff(4018,plain,
% 4.45/3.30 (node4(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4017, 4010])).
% 4.45/3.30 tff(4019,plain,
% 4.45/3.30 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4020,plain,
% 4.45/3.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s52) | (~node4(s52)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4021,plain,
% 4.45/3.30 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s52) | (~node4(s52))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4020, 4019])).
% 4.45/3.30 tff(4022,plain,
% 4.45/3.30 ($false),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4021, 35, 3898, 4018])).
% 4.45/3.30 tff(4023,plain,(always3(s52) | xuntil6(s52)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.30 tff(4024,plain,
% 4.45/3.30 (always3(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4023, 3897])).
% 4.45/3.30 tff(4025,plain,
% 4.45/3.30 (succ(s52, s53) <=> succ(s52, s53)),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4026,axiom,(succ(s52, s53)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound53')).
% 4.45/3.30 tff(4027,plain,
% 4.45/3.30 (succ(s52, s53)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 4.45/3.30 tff(4028,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4029,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s52, s53)) | trans(s52, s53))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4030,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s52, s53)) | trans(s52, s53)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4029, 4028])).
% 4.45/3.30 tff(4031,plain,
% 4.45/3.30 (trans(s52, s53)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4030, 4027, 46])).
% 4.45/3.30 tff(4032,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s52, s53)) | (~always3(s52)) | always3(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s52, s53)) | (~always3(s52)) | always3(s53))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4033,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s52, s53)) | (~always3(s52)) | always3(s53))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4034,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s52, s53)) | (~always3(s52)) | always3(s53)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4033, 4032])).
% 4.45/3.30 tff(4035,plain,
% 4.45/3.30 ((~always3(s52)) | always3(s53)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4034, 63, 4031])).
% 4.45/3.30 tff(4036,plain,
% 4.45/3.30 (always3(s53)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4035, 4024])).
% 4.45/3.30 tff(4037,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s53)) | (~m_main_v_state(s53, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4038,plain,
% 4.45/3.30 (((~m_main_v_state(s53, c_busy)) | (~always3(s53))) <=> ((~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4039,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s53)) | (~m_main_v_state(s53, c_busy))))),
% 4.45/3.30 inference(monotonicity,[status(thm)],[4038])).
% 4.45/3.30 tff(4040,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy)))),
% 4.45/3.30 inference(transitivity,[status(thm)],[4039, 4037])).
% 4.45/3.30 tff(4041,plain,
% 4.45/3.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s53, c_busy)) | (~always3(s53)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4042,plain,
% 4.45/3.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s53)) | (~m_main_v_state(s53, c_busy))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4041, 4040])).
% 4.45/3.30 tff(4043,plain,
% 4.45/3.30 (~m_main_v_state(s53, c_busy)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4042, 75, 4036])).
% 4.45/3.30 tff(4044,assumption,(until5(s52)), introduced(assumption)).
% 4.45/3.30 tff(4045,plain,
% 4.45/3.30 (xuntil6(s52) | node4(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4016, 155, 4044])).
% 4.45/3.30 tff(4046,plain,
% 4.45/3.30 (node4(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4045, 3897])).
% 4.45/3.30 tff(4047,plain,
% 4.45/3.30 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s52) | (~node4(s52)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s52) | (~node4(s52)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4048,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s52) | (~node4(s52)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4049,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s52) | (~node4(s52))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4048, 4047])).
% 4.45/3.30 tff(4050,plain,
% 4.45/3.30 (m_main_v_request(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4049, 17, 4046])).
% 4.45/3.30 tff(4051,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s52, s53)) | node2(s52, s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s52, s53)) | node2(s52, s53))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4052,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s52, s53)) | node2(s52, s53))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4053,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s52, s53)) | node2(s52, s53)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4052, 4051])).
% 4.45/3.30 tff(4054,plain,
% 4.45/3.30 (node2(s52, s53)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4053, 7, 4031])).
% 4.45/3.30 tff(4055,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4056,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4057,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s52, c_ready)) | (~node2(s52, s53)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4056, 4055])).
% 4.45/3.30 tff(4058,plain,
% 4.45/3.30 ((~m_main_v_state(s52, c_ready)) | m_main_v_state(s53, c_busy) | (~m_main_v_request(s52))),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4057, 96, 4054])).
% 4.45/3.30 tff(4059,plain,
% 4.45/3.30 (~m_main_v_state(s52, c_ready)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4058, 4050, 4043])).
% 4.45/3.30 tff(4060,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s52)) | (~m_main_v_state(s52, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4061,plain,
% 4.45/3.30 (((~m_main_v_state(s52, c_busy)) | (~always3(s52))) <=> ((~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4062,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s52)) | (~m_main_v_state(s52, c_busy))))),
% 4.45/3.30 inference(monotonicity,[status(thm)],[4061])).
% 4.45/3.30 tff(4063,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy)))),
% 4.45/3.30 inference(transitivity,[status(thm)],[4062, 4060])).
% 4.45/3.30 tff(4064,plain,
% 4.45/3.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s52, c_busy)) | (~always3(s52)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4065,plain,
% 4.45/3.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s52)) | (~m_main_v_state(s52, c_busy))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4064, 4063])).
% 4.45/3.30 tff(4066,plain,
% 4.45/3.30 (~m_main_v_state(s52, c_busy)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4065, 75, 4024])).
% 4.45/3.30 tff(4067,plain,
% 4.45/3.30 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4068,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4069,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s52, c_busy) | m_main_v_state(s52, c_ready)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 4.45/3.30 tff(4070,plain,
% 4.45/3.30 ($false),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4069, 118, 4066, 4059])).
% 4.45/3.30 tff(4071,plain,(xuntil6(s52) | (~until5(s52))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.30 tff(4072,plain,
% 4.45/3.30 (~until5(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4071, 3897])).
% 4.45/3.30 tff(4073,plain,
% 4.45/3.30 (~xuntil6(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4009, 4072])).
% 4.45/3.30 tff(4074,plain,
% 4.45/3.30 (always3(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4004, 3966, 3224])).
% 4.45/3.30 tff(4075,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s51)) | (~m_main_v_state(s51, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4076,plain,
% 4.45/3.30 (((~m_main_v_state(s51, c_busy)) | (~always3(s51))) <=> ((~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4077,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s51)) | (~m_main_v_state(s51, c_busy))))),
% 4.45/3.30 inference(monotonicity,[status(thm)],[4076])).
% 4.45/3.30 tff(4078,plain,
% 4.45/3.30 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy)))),
% 4.45/3.30 inference(transitivity,[status(thm)],[4077, 4075])).
% 4.45/3.30 tff(4079,plain,
% 4.45/3.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s51, c_busy)) | (~always3(s51)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4080,plain,
% 4.45/3.30 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s51)) | (~m_main_v_state(s51, c_busy))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 4.45/3.30 tff(4081,plain,
% 4.45/3.30 (~m_main_v_state(s51, c_busy)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4080, 75, 4074])).
% 4.45/3.30 tff(4082,plain,
% 4.45/3.30 (always3(s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3909, 4074])).
% 4.45/3.30 tff(4083,plain,
% 4.45/3.30 (~m_main_v_state(s52, c_busy)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4065, 75, 4082])).
% 4.45/3.30 tff(4084,plain,
% 4.45/3.30 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4085,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4086,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s51, c_busy) | m_main_v_state(s51, c_ready)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4085, 4084])).
% 4.45/3.30 tff(4087,plain,
% 4.45/3.30 (m_main_v_state(s51, c_ready)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4086, 118, 4081])).
% 4.45/3.30 tff(4088,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s51, s52)) | node2(s51, s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s51, s52)) | node2(s51, s52))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4089,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s51, s52)) | node2(s51, s52))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4090,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s51, s52)) | node2(s51, s52)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4089, 4088])).
% 4.45/3.30 tff(4091,plain,
% 4.45/3.30 (node2(s51, s52)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4090, 7, 3905])).
% 4.45/3.30 tff(4092,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4093,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4094,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s51, c_ready)) | (~node2(s51, s52)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 4.45/3.30 tff(4095,plain,
% 4.45/3.30 ((~m_main_v_state(s51, c_ready)) | m_main_v_state(s52, c_busy) | (~m_main_v_request(s51))),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4094, 96, 4091])).
% 4.45/3.30 tff(4096,plain,
% 4.45/3.30 (~m_main_v_request(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4095, 4087, 4083])).
% 4.45/3.30 tff(4097,plain,
% 4.45/3.30 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s51) | (~node4(s51)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s51) | (~node4(s51)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4098,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s51) | (~node4(s51)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4099,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s51) | (~node4(s51))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 4.45/3.30 tff(4100,plain,
% 4.45/3.30 (~node4(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4099, 17, 4096])).
% 4.45/3.30 tff(4101,plain,
% 4.45/3.30 (~until5(s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3973, 4100])).
% 4.45/3.30 tff(4102,plain,
% 4.45/3.30 (~xuntil6(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3978, 4101])).
% 4.45/3.30 tff(4103,assumption,(until5(s50)), introduced(assumption)).
% 4.45/3.30 tff(4104,plain,
% 4.45/3.30 (xuntil6(s50) | node4(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3985, 155, 4103])).
% 4.45/3.30 tff(4105,plain,
% 4.45/3.30 (node4(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4104, 4102])).
% 4.45/3.30 tff(4106,plain,
% 4.45/3.30 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s50) | (~node4(s50)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s50) | (~node4(s50)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4107,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s50) | (~node4(s50)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4108,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s50) | (~node4(s50))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4107, 4106])).
% 4.45/3.30 tff(4109,plain,
% 4.45/3.30 (m_main_v_request(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4108, 17, 4105])).
% 4.45/3.30 tff(4110,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s50, s51)) | node2(s50, s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s50, s51)) | node2(s50, s51))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4111,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s50, s51)) | node2(s50, s51))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4112,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s50, s51)) | node2(s50, s51)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4111, 4110])).
% 4.45/3.30 tff(4113,plain,
% 4.45/3.30 (node2(s50, s51)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4112, 7, 3917])).
% 4.45/3.30 tff(4114,plain,
% 4.45/3.30 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50)))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4115,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50)))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4116,plain,
% 4.45/3.30 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s50, c_ready)) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4115, 4114])).
% 4.45/3.30 tff(4117,plain,
% 4.45/3.30 ((~m_main_v_state(s50, c_ready)) | m_main_v_state(s51, c_busy) | (~m_main_v_request(s50))),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4116, 96, 4113])).
% 4.45/3.30 tff(4118,plain,
% 4.45/3.30 (~m_main_v_state(s50, c_ready)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4117, 4109, 4081])).
% 4.45/3.30 tff(4119,plain,
% 4.45/3.30 (always3(s50)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3960, 35, 4105])).
% 4.45/3.30 tff(4120,plain,
% 4.45/3.30 (~m_main_v_state(s50, c_busy)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3826, 75, 4119])).
% 4.45/3.30 tff(4121,plain,
% 4.45/3.30 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready))),
% 4.45/3.30 inference(rewrite,[status(thm)],[])).
% 4.45/3.30 tff(4122,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready))),
% 4.45/3.30 inference(quant_inst,[status(thm)],[])).
% 4.45/3.30 tff(4123,plain,
% 4.45/3.30 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready)),
% 4.45/3.30 inference(modus_ponens,[status(thm)],[4122, 4121])).
% 4.45/3.30 tff(4124,plain,
% 4.45/3.30 ($false),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4123, 118, 4120, 4118])).
% 4.45/3.30 tff(4125,plain,(xuntil6(s51) | (~until5(s50)) | (~until5(s30))), inference(lemma,lemma(discharge,[]))).
% 4.45/3.30 tff(4126,plain,
% 4.45/3.30 (~until5(s30)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[4125, 4073, 3896])).
% 4.45/3.30 tff(4127,plain,
% 4.45/3.30 (~xuntil6(s29)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[1015, 4126])).
% 4.45/3.30 tff(4128,plain,
% 4.45/3.30 (always3(s29)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[3953, 4127])).
% 4.45/3.30 tff(4129,plain,
% 4.45/3.30 (always3(s30)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[994, 4128])).
% 4.45/3.30 tff(4130,plain,
% 4.45/3.30 (always3(s31)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[1564, 4129])).
% 4.45/3.30 tff(4131,plain,
% 4.45/3.30 (always3(s32)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2509, 4130])).
% 4.45/3.30 tff(4132,plain,
% 4.45/3.30 (always3(s33)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2547, 4131])).
% 4.45/3.30 tff(4133,plain,
% 4.45/3.30 (always3(s34)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2680, 4132])).
% 4.45/3.30 tff(4134,plain,
% 4.45/3.30 (always3(s35)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2668, 4133])).
% 4.45/3.30 tff(4135,plain,
% 4.45/3.30 (always3(s36)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2656, 4134])).
% 4.45/3.30 tff(4136,plain,
% 4.45/3.30 (always3(s37)),
% 4.45/3.30 inference(unit_resolution,[status(thm)],[2644, 4135])).
% 4.45/3.31 tff(4137,plain,
% 4.45/3.31 (always3(s38)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[2615, 4136])).
% 4.45/3.31 tff(4138,plain,
% 4.45/3.31 (always3(s39)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[2780, 4137])).
% 4.45/3.31 tff(4139,plain,
% 4.45/3.31 (always3(s40)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3076, 4138])).
% 4.45/3.31 tff(4140,plain,
% 4.45/3.31 (always3(s41)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3064, 4139])).
% 4.45/3.31 tff(4141,plain,
% 4.45/3.31 (always3(s42)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3052, 4140])).
% 4.45/3.31 tff(4142,plain,
% 4.45/3.31 (always3(s43)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3040, 4141])).
% 4.45/3.31 tff(4143,plain,
% 4.45/3.31 (always3(s44)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3028, 4142])).
% 4.45/3.31 tff(4144,plain,
% 4.45/3.31 (always3(s45)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3016, 4143])).
% 4.45/3.31 tff(4145,plain,
% 4.45/3.31 (always3(s46)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3004, 4144])).
% 4.45/3.31 tff(4146,plain,
% 4.45/3.31 (always3(s47)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3709, 4145])).
% 4.45/3.31 tff(4147,plain,
% 4.45/3.31 (always3(s48)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[67, 4146])).
% 4.45/3.31 tff(4148,plain,
% 4.45/3.31 (always3(s49)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3763, 4147])).
% 4.45/3.31 tff(4149,plain,
% 4.45/3.31 (always3(s50)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3819, 4148])).
% 4.45/3.31 tff(4150,plain,
% 4.45/3.31 (always3(s51)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3921, 4149])).
% 4.45/3.31 tff(4151,plain,
% 4.45/3.31 (~m_main_v_state(s51, c_busy)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4080, 75, 4150])).
% 4.45/3.31 tff(4152,assumption,(node4(s50)), introduced(assumption)).
% 4.45/3.31 tff(4153,plain,
% 4.45/3.31 (m_main_v_request(s50)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4108, 17, 4152])).
% 4.45/3.31 tff(4154,plain,
% 4.45/3.31 (always3(s50)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3960, 35, 4152])).
% 4.45/3.31 tff(4155,plain,
% 4.45/3.31 (always3(s51)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3921, 4154])).
% 4.45/3.31 tff(4156,plain,
% 4.45/3.31 (~m_main_v_state(s51, c_busy)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4080, 75, 4155])).
% 4.45/3.31 tff(4157,plain,
% 4.45/3.31 (~m_main_v_state(s50, c_ready)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4117, 4156, 4153])).
% 4.45/3.31 tff(4158,plain,
% 4.45/3.31 (~m_main_v_state(s50, c_busy)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3826, 75, 4154])).
% 4.45/3.31 tff(4159,plain,
% 4.45/3.31 ($false),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4123, 118, 4158, 4157])).
% 4.45/3.31 tff(4160,plain,(~node4(s50)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.31 tff(4161,plain,
% 4.45/3.31 (xuntil6(s50) | (~until5(s50))),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3985, 155, 4160])).
% 4.45/3.31 tff(4162,plain,
% 4.45/3.31 (xuntil6(s50)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4161, 3896])).
% 4.45/3.31 tff(4163,plain,
% 4.45/3.31 (until5(s51)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3978, 4162])).
% 4.45/3.31 tff(4164,plain,
% 4.45/3.31 (xuntil6(s51) | node4(s51)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3972, 155, 4163])).
% 4.45/3.31 tff(4165,plain,
% 4.45/3.31 (node4(s51)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4164, 4073])).
% 4.45/3.31 tff(4166,plain,
% 4.45/3.31 (m_main_v_request(s51)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4099, 17, 4165])).
% 4.45/3.31 tff(4167,plain,
% 4.45/3.31 (~m_main_v_state(s51, c_ready)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4095, 4166, 4066])).
% 4.45/3.31 tff(4168,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s50, s51)) | m_main_v_state(s51, c_busy) | node1(s50) | m_main_v_state(s51, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | node1(s50) | m_main_v_state(s51, c_ready))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4169,plain,
% 4.45/3.31 ((node1(s50) | m_main_v_state(s51, c_ready) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy)) <=> ((~node2(s50, s51)) | m_main_v_state(s51, c_busy) | node1(s50) | m_main_v_state(s51, c_ready))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4170,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s50) | m_main_v_state(s51, c_ready) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s50, s51)) | m_main_v_state(s51, c_busy) | node1(s50) | m_main_v_state(s51, c_ready)))),
% 4.45/3.31 inference(monotonicity,[status(thm)],[4169])).
% 4.45/3.31 tff(4171,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s50) | m_main_v_state(s51, c_ready) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | node1(s50) | m_main_v_state(s51, c_ready))),
% 4.45/3.31 inference(transitivity,[status(thm)],[4170, 4168])).
% 4.45/3.31 tff(4172,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s50) | m_main_v_state(s51, c_ready) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4173,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s50, s51)) | m_main_v_state(s51, c_busy) | node1(s50) | m_main_v_state(s51, c_ready)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4172, 4171])).
% 4.45/3.31 tff(4174,plain,
% 4.45/3.31 (m_main_v_state(s51, c_busy) | node1(s50) | m_main_v_state(s51, c_ready)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4173, 3840, 4113])).
% 4.45/3.31 tff(4175,plain,
% 4.45/3.31 (node1(s50)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4174, 4167, 4151])).
% 4.45/3.31 tff(4176,plain,
% 4.45/3.31 (~m_main_v_state(s50, c_busy)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3826, 75, 4149])).
% 4.45/3.31 tff(4177,assumption,(~m_main_v_state(s50, c_busy)), introduced(assumption)).
% 4.45/3.31 tff(4178,assumption,(~m_main_v_state(s50, c_ready)), introduced(assumption)).
% 4.45/3.31 tff(4179,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s49, s50)) | m_main_v_state(s50, c_busy) | node1(s49) | m_main_v_state(s50, c_ready))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | node1(s49) | m_main_v_state(s50, c_ready))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4180,plain,
% 4.45/3.31 ((node1(s49) | m_main_v_state(s50, c_ready) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy)) <=> ((~node2(s49, s50)) | m_main_v_state(s50, c_busy) | node1(s49) | m_main_v_state(s50, c_ready))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4181,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s49) | m_main_v_state(s50, c_ready) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | ((~node2(s49, s50)) | m_main_v_state(s50, c_busy) | node1(s49) | m_main_v_state(s50, c_ready)))),
% 4.45/3.31 inference(monotonicity,[status(thm)],[4180])).
% 4.45/3.31 tff(4182,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s49) | m_main_v_state(s50, c_ready) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy))) <=> ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | node1(s49) | m_main_v_state(s50, c_ready))),
% 4.45/3.31 inference(transitivity,[status(thm)],[4181, 4179])).
% 4.45/3.31 tff(4183,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (node1(s49) | m_main_v_state(s50, c_ready) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4184,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : (node1(X) | m_main_v_state(Y, c_ready) | (~node2(X, Y)) | m_main_v_state(Y, c_busy))) | (~node2(s49, s50)) | m_main_v_state(s50, c_busy) | node1(s49) | m_main_v_state(s50, c_ready)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4183, 4182])).
% 4.45/3.31 tff(4185,plain,
% 4.45/3.31 (m_main_v_state(s50, c_busy) | node1(s49) | m_main_v_state(s50, c_ready)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4184, 3840, 3877])).
% 4.45/3.31 tff(4186,plain,
% 4.45/3.31 (node1(s49)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4185, 4177, 4178])).
% 4.45/3.31 tff(4187,plain,
% 4.45/3.31 (((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s49, c_ready) | (~node1(s49)))) <=> ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s49, c_ready) | (~node1(s49)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4188,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | (m_main_v_state(s49, c_ready) | (~node1(s49)))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4189,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_state(X, c_ready) | (~node1(X)))) | m_main_v_state(s49, c_ready) | (~node1(s49))),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4188, 4187])).
% 4.45/3.31 tff(4190,plain,
% 4.45/3.31 (m_main_v_state(s49, c_ready)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4189, 3855, 4186])).
% 4.45/3.31 tff(4191,plain,
% 4.45/3.31 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s49) | (~node1(s49)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s49) | (~node1(s49)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4192,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s49) | (~node1(s49)))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4193,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s49) | (~node1(s49))),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4192, 4191])).
% 4.45/3.31 tff(4194,plain,
% 4.45/3.31 (m_main_v_request(s49)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4193, 3866, 4186])).
% 4.45/3.31 tff(4195,plain,
% 4.45/3.31 ($false),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3881, 4194, 4190, 4177])).
% 4.45/3.31 tff(4196,plain,(m_main_v_state(s50, c_busy) | m_main_v_state(s50, c_ready)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.31 tff(4197,plain,
% 4.45/3.31 (m_main_v_state(s50, c_ready)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4196, 4176])).
% 4.45/3.31 tff(4198,plain,
% 4.45/3.31 (~m_main_v_request(s50)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4117, 4197, 4151])).
% 4.45/3.31 tff(4199,plain,
% 4.45/3.31 (((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s50) | (~node1(s50)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s50) | (~node1(s50)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4200,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | (m_main_v_request(s50) | (~node1(s50)))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4201,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_request(X) | (~node1(X)))) | m_main_v_request(s50) | (~node1(s50))),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 4.45/3.31 tff(4202,plain,
% 4.45/3.31 ($false),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4201, 3866, 4198, 4175])).
% 4.45/3.31 tff(4203,plain,(xuntil6(s52)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.31 tff(4204,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4205,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4206,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s52, s53)) | (~xuntil6(s52)) | until5(s53)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4205, 4204])).
% 4.45/3.31 tff(4207,plain,
% 4.45/3.31 ((~xuntil6(s52)) | until5(s53)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4206, 4027, 173])).
% 4.45/3.31 tff(4208,plain,
% 4.45/3.31 (until5(s53)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4207, 4203])).
% 4.45/3.31 tff(4209,assumption,(node4(s53)), introduced(assumption)).
% 4.45/3.31 tff(4210,plain,
% 4.45/3.31 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s53) | (~node4(s53)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s53) | (~node4(s53)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4211,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s53) | (~node4(s53)))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4212,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s53) | (~node4(s53))),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4211, 4210])).
% 4.45/3.31 tff(4213,plain,
% 4.45/3.31 (m_main_v_request(s53)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4212, 17, 4209])).
% 4.45/3.31 tff(4214,plain,
% 4.45/3.31 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4215,plain,
% 4.45/3.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s53) | (~node4(s53)))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4216,plain,
% 4.45/3.31 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s53) | (~node4(s53))),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4215, 4214])).
% 4.45/3.31 tff(4217,plain,
% 4.45/3.31 (always3(s53)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4216, 35, 4209])).
% 4.45/3.31 tff(4218,plain,
% 4.45/3.31 (succ(s53, s54) <=> succ(s53, s54)),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4219,axiom,(succ(s53, s54)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound54')).
% 4.45/3.31 tff(4220,plain,
% 4.45/3.31 (succ(s53, s54)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4219, 4218])).
% 4.45/3.31 tff(4221,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4222,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s53, s54)) | trans(s53, s54))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4223,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s53, s54)) | trans(s53, s54)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 4.45/3.31 tff(4224,plain,
% 4.45/3.31 (trans(s53, s54)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4223, 4220, 46])).
% 4.45/3.31 tff(4225,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s53, s54)) | (~always3(s53)) | always3(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s53, s54)) | (~always3(s53)) | always3(s54))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4226,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s53, s54)) | (~always3(s53)) | always3(s54))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4227,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s53, s54)) | (~always3(s53)) | always3(s54)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4226, 4225])).
% 4.45/3.31 tff(4228,plain,
% 4.45/3.31 ((~always3(s53)) | always3(s54)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4227, 63, 4224])).
% 4.45/3.31 tff(4229,plain,
% 4.45/3.31 (always3(s54)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4228, 4217])).
% 4.45/3.31 tff(4230,plain,
% 4.45/3.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s54)) | (~m_main_v_state(s54, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4231,plain,
% 4.45/3.31 (((~m_main_v_state(s54, c_busy)) | (~always3(s54))) <=> ((~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4232,plain,
% 4.45/3.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s54)) | (~m_main_v_state(s54, c_busy))))),
% 4.45/3.31 inference(monotonicity,[status(thm)],[4231])).
% 4.45/3.31 tff(4233,plain,
% 4.45/3.31 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy)))),
% 4.45/3.31 inference(transitivity,[status(thm)],[4232, 4230])).
% 4.45/3.31 tff(4234,plain,
% 4.45/3.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s54, c_busy)) | (~always3(s54)))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4235,plain,
% 4.45/3.31 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s54)) | (~m_main_v_state(s54, c_busy))),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4234, 4233])).
% 4.45/3.31 tff(4236,plain,
% 4.45/3.31 (~m_main_v_state(s54, c_busy)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4235, 75, 4229])).
% 4.45/3.31 tff(4237,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s53, s54)) | node2(s53, s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s53, s54)) | node2(s53, s54))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4238,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s53, s54)) | node2(s53, s54))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4239,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s53, s54)) | node2(s53, s54)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 4.45/3.31 tff(4240,plain,
% 4.45/3.31 (node2(s53, s54)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4239, 7, 4224])).
% 4.45/3.31 tff(4241,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4242,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53)))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4243,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s53, c_ready)) | (~node2(s53, s54)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4242, 4241])).
% 4.45/3.31 tff(4244,plain,
% 4.45/3.31 ((~m_main_v_state(s53, c_ready)) | m_main_v_state(s54, c_busy) | (~m_main_v_request(s53))),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4243, 96, 4240])).
% 4.45/3.31 tff(4245,plain,
% 4.45/3.31 (~m_main_v_state(s53, c_ready)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4244, 4236, 4213])).
% 4.45/3.31 tff(4246,plain,
% 4.45/3.31 (~m_main_v_state(s53, c_busy)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4042, 75, 4217])).
% 4.45/3.31 tff(4247,plain,
% 4.45/3.31 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4248,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4249,plain,
% 4.45/3.31 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s53, c_busy) | m_main_v_state(s53, c_ready)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4248, 4247])).
% 4.45/3.31 tff(4250,plain,
% 4.45/3.31 ($false),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4249, 118, 4246, 4245])).
% 4.45/3.31 tff(4251,plain,(~node4(s53)), inference(lemma,lemma(discharge,[]))).
% 4.45/3.31 tff(4252,plain,
% 4.45/3.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s53) | node4(s53) | (~until5(s53)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4253,plain,
% 4.45/3.31 ((node4(s53) | (~until5(s53)) | xuntil6(s53)) <=> (xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4254,plain,
% 4.45/3.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s53) | (~until5(s53)) | xuntil6(s53))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s53) | node4(s53) | (~until5(s53))))),
% 4.45/3.31 inference(monotonicity,[status(thm)],[4253])).
% 4.45/3.31 tff(4255,plain,
% 4.45/3.31 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s53) | (~until5(s53)) | xuntil6(s53))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53)))),
% 4.45/3.31 inference(transitivity,[status(thm)],[4254, 4252])).
% 4.45/3.31 tff(4256,plain,
% 4.45/3.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s53) | (~until5(s53)) | xuntil6(s53))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4257,plain,
% 4.45/3.31 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s53) | node4(s53) | (~until5(s53))),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4256, 4255])).
% 4.45/3.31 tff(4258,plain,
% 4.45/3.31 (xuntil6(s53) | (~until5(s53))),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4257, 155, 4251])).
% 4.45/3.31 tff(4259,plain,
% 4.45/3.31 (xuntil6(s53)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4258, 4208])).
% 4.45/3.31 tff(4260,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4261,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4262,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s53, s54)) | (~xuntil6(s53)) | until5(s54)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4261, 4260])).
% 4.45/3.31 tff(4263,plain,
% 4.45/3.31 ((~xuntil6(s53)) | until5(s54)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4262, 4220, 173])).
% 4.45/3.31 tff(4264,plain,
% 4.45/3.31 (until5(s54)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4263, 4259])).
% 4.45/3.31 tff(4265,assumption,(~always3(s50)), introduced(assumption)).
% 4.45/3.31 tff(4266,plain,
% 4.45/3.31 (~always3(s49)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[3819, 4265])).
% 4.45/3.31 tff(4267,assumption,(~always3(s299)), introduced(assumption)).
% 4.45/3.31 tff(4268,plain,
% 4.45/3.31 (succ(s298, s299) <=> succ(s298, s299)),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4269,axiom,(succ(s298, s299)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound299')).
% 4.45/3.31 tff(4270,plain,
% 4.45/3.31 (succ(s298, s299)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4269, 4268])).
% 4.45/3.31 tff(4271,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4272,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s298, s299)) | trans(s298, s299))),
% 4.45/3.31 inference(quant_inst,[status(thm)],[])).
% 4.45/3.31 tff(4273,plain,
% 4.45/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s298, s299)) | trans(s298, s299)),
% 4.45/3.31 inference(modus_ponens,[status(thm)],[4272, 4271])).
% 4.45/3.31 tff(4274,plain,
% 4.45/3.31 (trans(s298, s299)),
% 4.45/3.31 inference(unit_resolution,[status(thm)],[4273, 4270, 46])).
% 4.45/3.31 tff(4275,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s299) | (~trans(s298, s299)) | (~always3(s298)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s299) | (~trans(s298, s299)) | (~always3(s298)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4276,plain,
% 4.45/3.31 (((~trans(s298, s299)) | (~always3(s298)) | always3(s299)) <=> (always3(s299) | (~trans(s298, s299)) | (~always3(s298)))),
% 4.45/3.31 inference(rewrite,[status(thm)],[])).
% 4.45/3.31 tff(4277,plain,
% 4.45/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s298, s299)) | (~always3(s298)) | always3(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (always3(s299) | (~trans(s298, s299)) | (~always3(s298))))),
% 4.45/3.31 inference(monotonicity,[status(thm)],[4276])).
% 4.45/3.31 tff(4278,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s298, s299)) | (~always3(s298)) | always3(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s299) | (~trans(s298, s299)) | (~always3(s298)))),
% 4.55/3.31 inference(transitivity,[status(thm)],[4277, 4275])).
% 4.55/3.31 tff(4279,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s298, s299)) | (~always3(s298)) | always3(s299))),
% 4.55/3.31 inference(quant_inst,[status(thm)],[])).
% 4.55/3.31 tff(4280,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | always3(s299) | (~trans(s298, s299)) | (~always3(s298))),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4279, 4278])).
% 4.55/3.31 tff(4281,plain,
% 4.55/3.31 (always3(s299) | (~always3(s298))),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4280, 63, 4274])).
% 4.55/3.31 tff(4282,plain,
% 4.55/3.31 (~always3(s298)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4281, 4267])).
% 4.55/3.31 tff(4283,plain,
% 4.55/3.31 (succ(s297, s298) <=> succ(s297, s298)),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4284,axiom,(succ(s297, s298)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound298')).
% 4.55/3.31 tff(4285,plain,
% 4.55/3.31 (succ(s297, s298)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4284, 4283])).
% 4.55/3.31 tff(4286,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298))),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4287,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s297, s298)) | trans(s297, s298))),
% 4.55/3.31 inference(quant_inst,[status(thm)],[])).
% 4.55/3.31 tff(4288,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s297, s298)) | trans(s297, s298)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 4.55/3.31 tff(4289,plain,
% 4.55/3.31 (trans(s297, s298)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4288, 4285, 46])).
% 4.55/3.31 tff(4290,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s297, s298)) | (~always3(s297)) | always3(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s297, s298)) | (~always3(s297)) | always3(s298))),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4291,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s297, s298)) | (~always3(s297)) | always3(s298))),
% 4.55/3.31 inference(quant_inst,[status(thm)],[])).
% 4.55/3.31 tff(4292,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s297, s298)) | (~always3(s297)) | always3(s298)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4291, 4290])).
% 4.55/3.31 tff(4293,plain,
% 4.55/3.31 ((~always3(s297)) | always3(s298)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4292, 63, 4289])).
% 4.55/3.31 tff(4294,plain,
% 4.55/3.31 (~always3(s297)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4293, 4282])).
% 4.55/3.31 tff(4295,plain,
% 4.55/3.31 (succ(s296, s297) <=> succ(s296, s297)),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4296,axiom,(succ(s296, s297)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound297')).
% 4.55/3.31 tff(4297,plain,
% 4.55/3.31 (succ(s296, s297)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4296, 4295])).
% 4.55/3.31 tff(4298,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297))),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4299,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s296, s297)) | trans(s296, s297))),
% 4.55/3.31 inference(quant_inst,[status(thm)],[])).
% 4.55/3.31 tff(4300,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s296, s297)) | trans(s296, s297)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4299, 4298])).
% 4.55/3.31 tff(4301,plain,
% 4.55/3.31 (trans(s296, s297)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4300, 4297, 46])).
% 4.55/3.31 tff(4302,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s296, s297)) | (~always3(s296)) | always3(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s296, s297)) | (~always3(s296)) | always3(s297))),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4303,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s296, s297)) | (~always3(s296)) | always3(s297))),
% 4.55/3.31 inference(quant_inst,[status(thm)],[])).
% 4.55/3.31 tff(4304,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s296, s297)) | (~always3(s296)) | always3(s297)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4303, 4302])).
% 4.55/3.31 tff(4305,plain,
% 4.55/3.31 ((~always3(s296)) | always3(s297)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4304, 63, 4301])).
% 4.55/3.31 tff(4306,plain,
% 4.55/3.31 (~always3(s296)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4305, 4294])).
% 4.55/3.31 tff(4307,plain,
% 4.55/3.31 (succ(s295, s296) <=> succ(s295, s296)),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4308,axiom,(succ(s295, s296)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound296')).
% 4.55/3.31 tff(4309,plain,
% 4.55/3.31 (succ(s295, s296)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4308, 4307])).
% 4.55/3.31 tff(4310,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296))),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4311,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s295, s296)) | trans(s295, s296))),
% 4.55/3.31 inference(quant_inst,[status(thm)],[])).
% 4.55/3.31 tff(4312,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s295, s296)) | trans(s295, s296)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4311, 4310])).
% 4.55/3.31 tff(4313,plain,
% 4.55/3.31 (trans(s295, s296)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4312, 4309, 46])).
% 4.55/3.31 tff(4314,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s295, s296)) | (~always3(s295)) | always3(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s295, s296)) | (~always3(s295)) | always3(s296))),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4315,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s295, s296)) | (~always3(s295)) | always3(s296))),
% 4.55/3.31 inference(quant_inst,[status(thm)],[])).
% 4.55/3.31 tff(4316,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s295, s296)) | (~always3(s295)) | always3(s296)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4315, 4314])).
% 4.55/3.31 tff(4317,plain,
% 4.55/3.31 ((~always3(s295)) | always3(s296)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4316, 63, 4313])).
% 4.55/3.31 tff(4318,plain,
% 4.55/3.31 (~always3(s295)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4317, 4306])).
% 4.55/3.31 tff(4319,plain,
% 4.55/3.31 (succ(s294, s295) <=> succ(s294, s295)),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4320,axiom,(succ(s294, s295)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound295')).
% 4.55/3.31 tff(4321,plain,
% 4.55/3.31 (succ(s294, s295)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4320, 4319])).
% 4.55/3.31 tff(4322,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295))),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4323,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s294, s295)) | trans(s294, s295))),
% 4.55/3.31 inference(quant_inst,[status(thm)],[])).
% 4.55/3.31 tff(4324,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s294, s295)) | trans(s294, s295)),
% 4.55/3.31 inference(modus_ponens,[status(thm)],[4323, 4322])).
% 4.55/3.31 tff(4325,plain,
% 4.55/3.31 (trans(s294, s295)),
% 4.55/3.31 inference(unit_resolution,[status(thm)],[4324, 4321, 46])).
% 4.55/3.31 tff(4326,plain,
% 4.55/3.31 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s294, s295)) | (~always3(s294)) | always3(s295))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s294, s295)) | (~always3(s294)) | always3(s295))),
% 4.55/3.31 inference(rewrite,[status(thm)],[])).
% 4.55/3.31 tff(4327,plain,
% 4.55/3.31 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s294, s295)) | (~always3(s294)) | always3(s295))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4328,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s294, s295)) | (~always3(s294)) | always3(s295)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4327, 4326])).
% 4.55/3.32 tff(4329,plain,
% 4.55/3.32 ((~always3(s294)) | always3(s295)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4328, 63, 4325])).
% 4.55/3.32 tff(4330,plain,
% 4.55/3.32 (~always3(s294)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4329, 4318])).
% 4.55/3.32 tff(4331,plain,
% 4.55/3.32 (succ(s293, s294) <=> succ(s293, s294)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4332,axiom,(succ(s293, s294)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound294')).
% 4.55/3.32 tff(4333,plain,
% 4.55/3.32 (succ(s293, s294)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4332, 4331])).
% 4.55/3.32 tff(4334,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4335,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s293, s294)) | trans(s293, s294))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4336,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s293, s294)) | trans(s293, s294)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4335, 4334])).
% 4.55/3.32 tff(4337,plain,
% 4.55/3.32 (trans(s293, s294)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4336, 4333, 46])).
% 4.55/3.32 tff(4338,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s293, s294)) | (~always3(s293)) | always3(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s293, s294)) | (~always3(s293)) | always3(s294))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4339,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s293, s294)) | (~always3(s293)) | always3(s294))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4340,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s293, s294)) | (~always3(s293)) | always3(s294)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4339, 4338])).
% 4.55/3.32 tff(4341,plain,
% 4.55/3.32 ((~always3(s293)) | always3(s294)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4340, 63, 4337])).
% 4.55/3.32 tff(4342,plain,
% 4.55/3.32 (~always3(s293)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4341, 4330])).
% 4.55/3.32 tff(4343,plain,
% 4.55/3.32 (succ(s292, s293) <=> succ(s292, s293)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4344,axiom,(succ(s292, s293)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound293')).
% 4.55/3.32 tff(4345,plain,
% 4.55/3.32 (succ(s292, s293)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4344, 4343])).
% 4.55/3.32 tff(4346,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4347,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s292, s293)) | trans(s292, s293))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4348,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s292, s293)) | trans(s292, s293)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4347, 4346])).
% 4.55/3.32 tff(4349,plain,
% 4.55/3.32 (trans(s292, s293)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4348, 4345, 46])).
% 4.55/3.32 tff(4350,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s292, s293)) | (~always3(s292)) | always3(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s292, s293)) | (~always3(s292)) | always3(s293))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4351,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s292, s293)) | (~always3(s292)) | always3(s293))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4352,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s292, s293)) | (~always3(s292)) | always3(s293)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4351, 4350])).
% 4.55/3.32 tff(4353,plain,
% 4.55/3.32 ((~always3(s292)) | always3(s293)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4352, 63, 4349])).
% 4.55/3.32 tff(4354,plain,
% 4.55/3.32 (~always3(s292)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4353, 4342])).
% 4.55/3.32 tff(4355,plain,
% 4.55/3.32 (succ(s291, s292) <=> succ(s291, s292)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4356,axiom,(succ(s291, s292)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound292')).
% 4.55/3.32 tff(4357,plain,
% 4.55/3.32 (succ(s291, s292)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4356, 4355])).
% 4.55/3.32 tff(4358,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4359,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s291, s292)) | trans(s291, s292))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4360,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s291, s292)) | trans(s291, s292)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4359, 4358])).
% 4.55/3.32 tff(4361,plain,
% 4.55/3.32 (trans(s291, s292)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4360, 4357, 46])).
% 4.55/3.32 tff(4362,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s291, s292)) | (~always3(s291)) | always3(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s291, s292)) | (~always3(s291)) | always3(s292))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4363,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s291, s292)) | (~always3(s291)) | always3(s292))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4364,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s291, s292)) | (~always3(s291)) | always3(s292)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4363, 4362])).
% 4.55/3.32 tff(4365,plain,
% 4.55/3.32 ((~always3(s291)) | always3(s292)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4364, 63, 4361])).
% 4.55/3.32 tff(4366,plain,
% 4.55/3.32 (~always3(s291)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4365, 4354])).
% 4.55/3.32 tff(4367,plain,
% 4.55/3.32 (succ(s290, s291) <=> succ(s290, s291)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4368,axiom,(succ(s290, s291)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound291')).
% 4.55/3.32 tff(4369,plain,
% 4.55/3.32 (succ(s290, s291)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4368, 4367])).
% 4.55/3.32 tff(4370,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4371,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s290, s291)) | trans(s290, s291))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4372,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s290, s291)) | trans(s290, s291)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 4.55/3.32 tff(4373,plain,
% 4.55/3.32 (trans(s290, s291)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4372, 4369, 46])).
% 4.55/3.32 tff(4374,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s290, s291)) | (~always3(s290)) | always3(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s290, s291)) | (~always3(s290)) | always3(s291))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4375,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s290, s291)) | (~always3(s290)) | always3(s291))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4376,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s290, s291)) | (~always3(s290)) | always3(s291)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4375, 4374])).
% 4.55/3.32 tff(4377,plain,
% 4.55/3.32 ((~always3(s290)) | always3(s291)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4376, 63, 4373])).
% 4.55/3.32 tff(4378,plain,
% 4.55/3.32 (~always3(s290)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4377, 4366])).
% 4.55/3.32 tff(4379,plain,
% 4.55/3.32 (succ(s289, s290) <=> succ(s289, s290)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4380,axiom,(succ(s289, s290)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound290')).
% 4.55/3.32 tff(4381,plain,
% 4.55/3.32 (succ(s289, s290)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4380, 4379])).
% 4.55/3.32 tff(4382,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4383,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s289, s290)) | trans(s289, s290))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4384,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s289, s290)) | trans(s289, s290)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4383, 4382])).
% 4.55/3.32 tff(4385,plain,
% 4.55/3.32 (trans(s289, s290)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4384, 4381, 46])).
% 4.55/3.32 tff(4386,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s289, s290)) | (~always3(s289)) | always3(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s289, s290)) | (~always3(s289)) | always3(s290))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4387,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s289, s290)) | (~always3(s289)) | always3(s290))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4388,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s289, s290)) | (~always3(s289)) | always3(s290)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4387, 4386])).
% 4.55/3.32 tff(4389,plain,
% 4.55/3.32 ((~always3(s289)) | always3(s290)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4388, 63, 4385])).
% 4.55/3.32 tff(4390,plain,
% 4.55/3.32 (~always3(s289)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4389, 4378])).
% 4.55/3.32 tff(4391,plain,
% 4.55/3.32 (succ(s288, s289) <=> succ(s288, s289)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4392,axiom,(succ(s288, s289)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound289')).
% 4.55/3.32 tff(4393,plain,
% 4.55/3.32 (succ(s288, s289)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4392, 4391])).
% 4.55/3.32 tff(4394,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4395,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s288, s289)) | trans(s288, s289))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4396,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s288, s289)) | trans(s288, s289)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4395, 4394])).
% 4.55/3.32 tff(4397,plain,
% 4.55/3.32 (trans(s288, s289)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4396, 4393, 46])).
% 4.55/3.32 tff(4398,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s288, s289)) | (~always3(s288)) | always3(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s288, s289)) | (~always3(s288)) | always3(s289))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4399,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s288, s289)) | (~always3(s288)) | always3(s289))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4400,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s288, s289)) | (~always3(s288)) | always3(s289)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4399, 4398])).
% 4.55/3.32 tff(4401,plain,
% 4.55/3.32 ((~always3(s288)) | always3(s289)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4400, 63, 4397])).
% 4.55/3.32 tff(4402,plain,
% 4.55/3.32 (~always3(s288)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4401, 4390])).
% 4.55/3.32 tff(4403,plain,
% 4.55/3.32 (succ(s287, s288) <=> succ(s287, s288)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4404,axiom,(succ(s287, s288)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound288')).
% 4.55/3.32 tff(4405,plain,
% 4.55/3.32 (succ(s287, s288)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4404, 4403])).
% 4.55/3.32 tff(4406,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4407,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s287, s288)) | trans(s287, s288))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4408,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s287, s288)) | trans(s287, s288)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4407, 4406])).
% 4.55/3.32 tff(4409,plain,
% 4.55/3.32 (trans(s287, s288)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4408, 4405, 46])).
% 4.55/3.32 tff(4410,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s287, s288)) | (~always3(s287)) | always3(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s287, s288)) | (~always3(s287)) | always3(s288))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4411,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s287, s288)) | (~always3(s287)) | always3(s288))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4412,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s287, s288)) | (~always3(s287)) | always3(s288)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4411, 4410])).
% 4.55/3.32 tff(4413,plain,
% 4.55/3.32 ((~always3(s287)) | always3(s288)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4412, 63, 4409])).
% 4.55/3.32 tff(4414,plain,
% 4.55/3.32 (~always3(s287)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4413, 4402])).
% 4.55/3.32 tff(4415,plain,
% 4.55/3.32 (succ(s286, s287) <=> succ(s286, s287)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4416,axiom,(succ(s286, s287)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound287')).
% 4.55/3.32 tff(4417,plain,
% 4.55/3.32 (succ(s286, s287)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4416, 4415])).
% 4.55/3.32 tff(4418,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4419,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s286, s287)) | trans(s286, s287))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4420,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s286, s287)) | trans(s286, s287)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4419, 4418])).
% 4.55/3.32 tff(4421,plain,
% 4.55/3.32 (trans(s286, s287)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4420, 4417, 46])).
% 4.55/3.32 tff(4422,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s286, s287)) | (~always3(s286)) | always3(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s286, s287)) | (~always3(s286)) | always3(s287))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4423,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s286, s287)) | (~always3(s286)) | always3(s287))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4424,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s286, s287)) | (~always3(s286)) | always3(s287)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4423, 4422])).
% 4.55/3.32 tff(4425,plain,
% 4.55/3.32 ((~always3(s286)) | always3(s287)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4424, 63, 4421])).
% 4.55/3.32 tff(4426,plain,
% 4.55/3.32 (~always3(s286)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4425, 4414])).
% 4.55/3.32 tff(4427,plain,
% 4.55/3.32 (succ(s285, s286) <=> succ(s285, s286)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4428,axiom,(succ(s285, s286)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound286')).
% 4.55/3.32 tff(4429,plain,
% 4.55/3.32 (succ(s285, s286)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4428, 4427])).
% 4.55/3.32 tff(4430,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4431,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s285, s286)) | trans(s285, s286))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4432,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s285, s286)) | trans(s285, s286)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 4.55/3.32 tff(4433,plain,
% 4.55/3.32 (trans(s285, s286)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4432, 4429, 46])).
% 4.55/3.32 tff(4434,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s285, s286)) | (~always3(s285)) | always3(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s285, s286)) | (~always3(s285)) | always3(s286))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4435,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s285, s286)) | (~always3(s285)) | always3(s286))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4436,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s285, s286)) | (~always3(s285)) | always3(s286)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 4.55/3.32 tff(4437,plain,
% 4.55/3.32 ((~always3(s285)) | always3(s286)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4436, 63, 4433])).
% 4.55/3.32 tff(4438,plain,
% 4.55/3.32 (~always3(s285)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4437, 4426])).
% 4.55/3.32 tff(4439,plain,
% 4.55/3.32 (succ(s284, s285) <=> succ(s284, s285)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4440,axiom,(succ(s284, s285)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound285')).
% 4.55/3.32 tff(4441,plain,
% 4.55/3.32 (succ(s284, s285)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4440, 4439])).
% 4.55/3.32 tff(4442,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4443,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s284, s285)) | trans(s284, s285))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4444,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s284, s285)) | trans(s284, s285)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4443, 4442])).
% 4.55/3.32 tff(4445,plain,
% 4.55/3.32 (trans(s284, s285)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4444, 4441, 46])).
% 4.55/3.32 tff(4446,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s284, s285)) | (~always3(s284)) | always3(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s284, s285)) | (~always3(s284)) | always3(s285))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4447,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s284, s285)) | (~always3(s284)) | always3(s285))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4448,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s284, s285)) | (~always3(s284)) | always3(s285)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4447, 4446])).
% 4.55/3.32 tff(4449,plain,
% 4.55/3.32 ((~always3(s284)) | always3(s285)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4448, 63, 4445])).
% 4.55/3.32 tff(4450,plain,
% 4.55/3.32 (~always3(s284)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4449, 4438])).
% 4.55/3.32 tff(4451,plain,
% 4.55/3.32 (succ(s283, s284) <=> succ(s283, s284)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4452,axiom,(succ(s283, s284)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound284')).
% 4.55/3.32 tff(4453,plain,
% 4.55/3.32 (succ(s283, s284)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4452, 4451])).
% 4.55/3.32 tff(4454,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4455,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s283, s284)) | trans(s283, s284))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4456,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s283, s284)) | trans(s283, s284)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4455, 4454])).
% 4.55/3.32 tff(4457,plain,
% 4.55/3.32 (trans(s283, s284)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4456, 4453, 46])).
% 4.55/3.32 tff(4458,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s283, s284)) | (~always3(s283)) | always3(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s283, s284)) | (~always3(s283)) | always3(s284))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4459,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s283, s284)) | (~always3(s283)) | always3(s284))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4460,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s283, s284)) | (~always3(s283)) | always3(s284)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4459, 4458])).
% 4.55/3.32 tff(4461,plain,
% 4.55/3.32 ((~always3(s283)) | always3(s284)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4460, 63, 4457])).
% 4.55/3.32 tff(4462,plain,
% 4.55/3.32 (~always3(s283)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4461, 4450])).
% 4.55/3.32 tff(4463,plain,
% 4.55/3.32 (succ(s282, s283) <=> succ(s282, s283)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4464,axiom,(succ(s282, s283)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound283')).
% 4.55/3.32 tff(4465,plain,
% 4.55/3.32 (succ(s282, s283)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4464, 4463])).
% 4.55/3.32 tff(4466,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4467,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s282, s283)) | trans(s282, s283))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4468,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s282, s283)) | trans(s282, s283)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 4.55/3.32 tff(4469,plain,
% 4.55/3.32 (trans(s282, s283)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4468, 4465, 46])).
% 4.55/3.32 tff(4470,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s282, s283)) | (~always3(s282)) | always3(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s282, s283)) | (~always3(s282)) | always3(s283))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4471,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s282, s283)) | (~always3(s282)) | always3(s283))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4472,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s282, s283)) | (~always3(s282)) | always3(s283)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4471, 4470])).
% 4.55/3.32 tff(4473,plain,
% 4.55/3.32 ((~always3(s282)) | always3(s283)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4472, 63, 4469])).
% 4.55/3.32 tff(4474,plain,
% 4.55/3.32 (~always3(s282)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4473, 4462])).
% 4.55/3.32 tff(4475,plain,
% 4.55/3.32 (succ(s281, s282) <=> succ(s281, s282)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4476,axiom,(succ(s281, s282)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound282')).
% 4.55/3.32 tff(4477,plain,
% 4.55/3.32 (succ(s281, s282)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4476, 4475])).
% 4.55/3.32 tff(4478,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4479,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s281, s282)) | trans(s281, s282))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4480,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s281, s282)) | trans(s281, s282)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 4.55/3.32 tff(4481,plain,
% 4.55/3.32 (trans(s281, s282)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4480, 4477, 46])).
% 4.55/3.32 tff(4482,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s281, s282)) | (~always3(s281)) | always3(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s281, s282)) | (~always3(s281)) | always3(s282))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4483,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s281, s282)) | (~always3(s281)) | always3(s282))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4484,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s281, s282)) | (~always3(s281)) | always3(s282)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4483, 4482])).
% 4.55/3.32 tff(4485,plain,
% 4.55/3.32 ((~always3(s281)) | always3(s282)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4484, 63, 4481])).
% 4.55/3.32 tff(4486,plain,
% 4.55/3.32 (~always3(s281)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4485, 4474])).
% 4.55/3.32 tff(4487,plain,
% 4.55/3.32 (succ(s280, s281) <=> succ(s280, s281)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4488,axiom,(succ(s280, s281)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound281')).
% 4.55/3.32 tff(4489,plain,
% 4.55/3.32 (succ(s280, s281)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4488, 4487])).
% 4.55/3.32 tff(4490,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4491,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s280, s281)) | trans(s280, s281))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4492,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s280, s281)) | trans(s280, s281)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4491, 4490])).
% 4.55/3.32 tff(4493,plain,
% 4.55/3.32 (trans(s280, s281)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4492, 4489, 46])).
% 4.55/3.32 tff(4494,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s280, s281)) | (~always3(s280)) | always3(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s280, s281)) | (~always3(s280)) | always3(s281))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4495,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s280, s281)) | (~always3(s280)) | always3(s281))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4496,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s280, s281)) | (~always3(s280)) | always3(s281)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4495, 4494])).
% 4.55/3.32 tff(4497,plain,
% 4.55/3.32 ((~always3(s280)) | always3(s281)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4496, 63, 4493])).
% 4.55/3.32 tff(4498,plain,
% 4.55/3.32 (~always3(s280)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4497, 4486])).
% 4.55/3.32 tff(4499,plain,
% 4.55/3.32 (succ(s279, s280) <=> succ(s279, s280)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4500,axiom,(succ(s279, s280)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound280')).
% 4.55/3.32 tff(4501,plain,
% 4.55/3.32 (succ(s279, s280)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 4.55/3.32 tff(4502,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4503,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s279, s280)) | trans(s279, s280))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4504,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s279, s280)) | trans(s279, s280)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 4.55/3.32 tff(4505,plain,
% 4.55/3.32 (trans(s279, s280)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4504, 4501, 46])).
% 4.55/3.32 tff(4506,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s279, s280)) | (~always3(s279)) | always3(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s279, s280)) | (~always3(s279)) | always3(s280))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4507,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s279, s280)) | (~always3(s279)) | always3(s280))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4508,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s279, s280)) | (~always3(s279)) | always3(s280)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4507, 4506])).
% 4.55/3.32 tff(4509,plain,
% 4.55/3.32 ((~always3(s279)) | always3(s280)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4508, 63, 4505])).
% 4.55/3.32 tff(4510,plain,
% 4.55/3.32 (~always3(s279)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4509, 4498])).
% 4.55/3.32 tff(4511,plain,
% 4.55/3.32 (succ(s278, s279) <=> succ(s278, s279)),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4512,axiom,(succ(s278, s279)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound279')).
% 4.55/3.32 tff(4513,plain,
% 4.55/3.32 (succ(s278, s279)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4512, 4511])).
% 4.55/3.32 tff(4514,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4515,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s278, s279)) | trans(s278, s279))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4516,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s278, s279)) | trans(s278, s279)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4515, 4514])).
% 4.55/3.32 tff(4517,plain,
% 4.55/3.32 (trans(s278, s279)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4516, 4513, 46])).
% 4.55/3.32 tff(4518,plain,
% 4.55/3.32 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s278, s279)) | (~always3(s278)) | always3(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s278, s279)) | (~always3(s278)) | always3(s279))),
% 4.55/3.32 inference(rewrite,[status(thm)],[])).
% 4.55/3.32 tff(4519,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s278, s279)) | (~always3(s278)) | always3(s279))),
% 4.55/3.32 inference(quant_inst,[status(thm)],[])).
% 4.55/3.32 tff(4520,plain,
% 4.55/3.32 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s278, s279)) | (~always3(s278)) | always3(s279)),
% 4.55/3.32 inference(modus_ponens,[status(thm)],[4519, 4518])).
% 4.55/3.32 tff(4521,plain,
% 4.55/3.32 ((~always3(s278)) | always3(s279)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4520, 63, 4517])).
% 4.55/3.32 tff(4522,plain,
% 4.55/3.32 (~always3(s278)),
% 4.55/3.32 inference(unit_resolution,[status(thm)],[4521, 4510])).
% 4.55/3.33 tff(4523,plain,
% 4.55/3.33 (succ(s277, s278) <=> succ(s277, s278)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4524,axiom,(succ(s277, s278)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound278')).
% 4.55/3.33 tff(4525,plain,
% 4.55/3.33 (succ(s277, s278)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4524, 4523])).
% 4.55/3.33 tff(4526,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4527,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s277, s278)) | trans(s277, s278))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4528,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s277, s278)) | trans(s277, s278)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4527, 4526])).
% 4.55/3.33 tff(4529,plain,
% 4.55/3.33 (trans(s277, s278)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4528, 4525, 46])).
% 4.55/3.33 tff(4530,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s277, s278)) | (~always3(s277)) | always3(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s277, s278)) | (~always3(s277)) | always3(s278))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4531,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s277, s278)) | (~always3(s277)) | always3(s278))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4532,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s277, s278)) | (~always3(s277)) | always3(s278)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4531, 4530])).
% 4.55/3.33 tff(4533,plain,
% 4.55/3.33 ((~always3(s277)) | always3(s278)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4532, 63, 4529])).
% 4.55/3.33 tff(4534,plain,
% 4.55/3.33 (~always3(s277)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4533, 4522])).
% 4.55/3.33 tff(4535,plain,
% 4.55/3.33 (succ(s276, s277) <=> succ(s276, s277)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4536,axiom,(succ(s276, s277)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound277')).
% 4.55/3.33 tff(4537,plain,
% 4.55/3.33 (succ(s276, s277)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4536, 4535])).
% 4.55/3.33 tff(4538,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4539,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s276, s277)) | trans(s276, s277))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4540,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s276, s277)) | trans(s276, s277)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4539, 4538])).
% 4.55/3.33 tff(4541,plain,
% 4.55/3.33 (trans(s276, s277)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4540, 4537, 46])).
% 4.55/3.33 tff(4542,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s276, s277)) | (~always3(s276)) | always3(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s276, s277)) | (~always3(s276)) | always3(s277))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4543,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s276, s277)) | (~always3(s276)) | always3(s277))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4544,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s276, s277)) | (~always3(s276)) | always3(s277)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4543, 4542])).
% 4.55/3.33 tff(4545,plain,
% 4.55/3.33 ((~always3(s276)) | always3(s277)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4544, 63, 4541])).
% 4.55/3.33 tff(4546,plain,
% 4.55/3.33 (~always3(s276)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4545, 4534])).
% 4.55/3.33 tff(4547,plain,
% 4.55/3.33 (succ(s275, s276) <=> succ(s275, s276)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4548,axiom,(succ(s275, s276)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound276')).
% 4.55/3.33 tff(4549,plain,
% 4.55/3.33 (succ(s275, s276)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 4.55/3.33 tff(4550,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4551,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s275, s276)) | trans(s275, s276))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4552,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s275, s276)) | trans(s275, s276)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4551, 4550])).
% 4.55/3.33 tff(4553,plain,
% 4.55/3.33 (trans(s275, s276)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4552, 4549, 46])).
% 4.55/3.33 tff(4554,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s275, s276)) | (~always3(s275)) | always3(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s275, s276)) | (~always3(s275)) | always3(s276))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4555,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s275, s276)) | (~always3(s275)) | always3(s276))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4556,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s275, s276)) | (~always3(s275)) | always3(s276)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4555, 4554])).
% 4.55/3.33 tff(4557,plain,
% 4.55/3.33 ((~always3(s275)) | always3(s276)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4556, 63, 4553])).
% 4.55/3.33 tff(4558,plain,
% 4.55/3.33 (~always3(s275)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4557, 4546])).
% 4.55/3.33 tff(4559,plain,
% 4.55/3.33 (succ(s274, s275) <=> succ(s274, s275)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4560,axiom,(succ(s274, s275)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound275')).
% 4.55/3.33 tff(4561,plain,
% 4.55/3.33 (succ(s274, s275)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 4.55/3.33 tff(4562,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4563,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s274, s275)) | trans(s274, s275))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4564,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s274, s275)) | trans(s274, s275)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4563, 4562])).
% 4.55/3.33 tff(4565,plain,
% 4.55/3.33 (trans(s274, s275)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4564, 4561, 46])).
% 4.55/3.33 tff(4566,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s274, s275)) | (~always3(s274)) | always3(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s274, s275)) | (~always3(s274)) | always3(s275))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4567,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s274, s275)) | (~always3(s274)) | always3(s275))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4568,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s274, s275)) | (~always3(s274)) | always3(s275)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4567, 4566])).
% 4.55/3.33 tff(4569,plain,
% 4.55/3.33 ((~always3(s274)) | always3(s275)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4568, 63, 4565])).
% 4.55/3.33 tff(4570,plain,
% 4.55/3.33 (~always3(s274)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4569, 4558])).
% 4.55/3.33 tff(4571,plain,
% 4.55/3.33 (succ(s273, s274) <=> succ(s273, s274)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4572,axiom,(succ(s273, s274)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound274')).
% 4.55/3.33 tff(4573,plain,
% 4.55/3.33 (succ(s273, s274)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4572, 4571])).
% 4.55/3.33 tff(4574,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4575,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s273, s274)) | trans(s273, s274))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4576,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s273, s274)) | trans(s273, s274)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4575, 4574])).
% 4.55/3.33 tff(4577,plain,
% 4.55/3.33 (trans(s273, s274)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4576, 4573, 46])).
% 4.55/3.33 tff(4578,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s273, s274)) | (~always3(s273)) | always3(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s273, s274)) | (~always3(s273)) | always3(s274))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4579,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s273, s274)) | (~always3(s273)) | always3(s274))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4580,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s273, s274)) | (~always3(s273)) | always3(s274)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4579, 4578])).
% 4.55/3.33 tff(4581,plain,
% 4.55/3.33 ((~always3(s273)) | always3(s274)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4580, 63, 4577])).
% 4.55/3.33 tff(4582,plain,
% 4.55/3.33 (~always3(s273)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4581, 4570])).
% 4.55/3.33 tff(4583,plain,
% 4.55/3.33 (succ(s272, s273) <=> succ(s272, s273)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4584,axiom,(succ(s272, s273)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound273')).
% 4.55/3.33 tff(4585,plain,
% 4.55/3.33 (succ(s272, s273)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4584, 4583])).
% 4.55/3.33 tff(4586,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4587,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s272, s273)) | trans(s272, s273))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4588,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s272, s273)) | trans(s272, s273)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4587, 4586])).
% 4.55/3.33 tff(4589,plain,
% 4.55/3.33 (trans(s272, s273)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4588, 4585, 46])).
% 4.55/3.33 tff(4590,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s272, s273)) | (~always3(s272)) | always3(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s272, s273)) | (~always3(s272)) | always3(s273))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4591,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s272, s273)) | (~always3(s272)) | always3(s273))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4592,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s272, s273)) | (~always3(s272)) | always3(s273)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4591, 4590])).
% 4.55/3.33 tff(4593,plain,
% 4.55/3.33 ((~always3(s272)) | always3(s273)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4592, 63, 4589])).
% 4.55/3.33 tff(4594,plain,
% 4.55/3.33 (~always3(s272)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4593, 4582])).
% 4.55/3.33 tff(4595,plain,
% 4.55/3.33 (succ(s271, s272) <=> succ(s271, s272)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4596,axiom,(succ(s271, s272)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound272')).
% 4.55/3.33 tff(4597,plain,
% 4.55/3.33 (succ(s271, s272)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 4.55/3.33 tff(4598,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4599,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s271, s272)) | trans(s271, s272))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4600,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s271, s272)) | trans(s271, s272)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4599, 4598])).
% 4.55/3.33 tff(4601,plain,
% 4.55/3.33 (trans(s271, s272)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4600, 4597, 46])).
% 4.55/3.33 tff(4602,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s271, s272)) | (~always3(s271)) | always3(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s271, s272)) | (~always3(s271)) | always3(s272))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4603,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s271, s272)) | (~always3(s271)) | always3(s272))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4604,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s271, s272)) | (~always3(s271)) | always3(s272)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4603, 4602])).
% 4.55/3.33 tff(4605,plain,
% 4.55/3.33 ((~always3(s271)) | always3(s272)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4604, 63, 4601])).
% 4.55/3.33 tff(4606,plain,
% 4.55/3.33 (~always3(s271)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4605, 4594])).
% 4.55/3.33 tff(4607,plain,
% 4.55/3.33 (succ(s270, s271) <=> succ(s270, s271)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4608,axiom,(succ(s270, s271)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound271')).
% 4.55/3.33 tff(4609,plain,
% 4.55/3.33 (succ(s270, s271)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4608, 4607])).
% 4.55/3.33 tff(4610,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4611,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s270, s271)) | trans(s270, s271))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4612,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s270, s271)) | trans(s270, s271)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4611, 4610])).
% 4.55/3.33 tff(4613,plain,
% 4.55/3.33 (trans(s270, s271)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4612, 4609, 46])).
% 4.55/3.33 tff(4614,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s270, s271)) | (~always3(s270)) | always3(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s270, s271)) | (~always3(s270)) | always3(s271))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4615,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s270, s271)) | (~always3(s270)) | always3(s271))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4616,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s270, s271)) | (~always3(s270)) | always3(s271)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4615, 4614])).
% 4.55/3.33 tff(4617,plain,
% 4.55/3.33 ((~always3(s270)) | always3(s271)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4616, 63, 4613])).
% 4.55/3.33 tff(4618,plain,
% 4.55/3.33 (~always3(s270)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4617, 4606])).
% 4.55/3.33 tff(4619,plain,
% 4.55/3.33 (succ(s269, s270) <=> succ(s269, s270)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4620,axiom,(succ(s269, s270)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound270')).
% 4.55/3.33 tff(4621,plain,
% 4.55/3.33 (succ(s269, s270)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 4.55/3.33 tff(4622,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4623,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s269, s270)) | trans(s269, s270))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4624,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s269, s270)) | trans(s269, s270)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4623, 4622])).
% 4.55/3.33 tff(4625,plain,
% 4.55/3.33 (trans(s269, s270)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4624, 4621, 46])).
% 4.55/3.33 tff(4626,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s269, s270)) | (~always3(s269)) | always3(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s269, s270)) | (~always3(s269)) | always3(s270))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4627,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s269, s270)) | (~always3(s269)) | always3(s270))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4628,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s269, s270)) | (~always3(s269)) | always3(s270)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4627, 4626])).
% 4.55/3.33 tff(4629,plain,
% 4.55/3.33 ((~always3(s269)) | always3(s270)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4628, 63, 4625])).
% 4.55/3.33 tff(4630,plain,
% 4.55/3.33 (~always3(s269)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4629, 4618])).
% 4.55/3.33 tff(4631,plain,
% 4.55/3.33 (succ(s268, s269) <=> succ(s268, s269)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4632,axiom,(succ(s268, s269)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound269')).
% 4.55/3.33 tff(4633,plain,
% 4.55/3.33 (succ(s268, s269)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4632, 4631])).
% 4.55/3.33 tff(4634,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4635,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s268, s269)) | trans(s268, s269))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4636,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s268, s269)) | trans(s268, s269)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4635, 4634])).
% 4.55/3.33 tff(4637,plain,
% 4.55/3.33 (trans(s268, s269)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4636, 4633, 46])).
% 4.55/3.33 tff(4638,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s268, s269)) | (~always3(s268)) | always3(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s268, s269)) | (~always3(s268)) | always3(s269))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4639,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s268, s269)) | (~always3(s268)) | always3(s269))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4640,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s268, s269)) | (~always3(s268)) | always3(s269)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 4.55/3.33 tff(4641,plain,
% 4.55/3.33 ((~always3(s268)) | always3(s269)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4640, 63, 4637])).
% 4.55/3.33 tff(4642,plain,
% 4.55/3.33 (~always3(s268)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4641, 4630])).
% 4.55/3.33 tff(4643,plain,
% 4.55/3.33 (succ(s267, s268) <=> succ(s267, s268)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4644,axiom,(succ(s267, s268)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound268')).
% 4.55/3.33 tff(4645,plain,
% 4.55/3.33 (succ(s267, s268)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4644, 4643])).
% 4.55/3.33 tff(4646,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4647,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s267, s268)) | trans(s267, s268))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4648,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s267, s268)) | trans(s267, s268)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4647, 4646])).
% 4.55/3.33 tff(4649,plain,
% 4.55/3.33 (trans(s267, s268)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4648, 4645, 46])).
% 4.55/3.33 tff(4650,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s267, s268)) | (~always3(s267)) | always3(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s267, s268)) | (~always3(s267)) | always3(s268))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4651,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s267, s268)) | (~always3(s267)) | always3(s268))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4652,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s267, s268)) | (~always3(s267)) | always3(s268)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4651, 4650])).
% 4.55/3.33 tff(4653,plain,
% 4.55/3.33 ((~always3(s267)) | always3(s268)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4652, 63, 4649])).
% 4.55/3.33 tff(4654,plain,
% 4.55/3.33 (~always3(s267)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4653, 4642])).
% 4.55/3.33 tff(4655,plain,
% 4.55/3.33 (succ(s266, s267) <=> succ(s266, s267)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4656,axiom,(succ(s266, s267)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound267')).
% 4.55/3.33 tff(4657,plain,
% 4.55/3.33 (succ(s266, s267)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 4.55/3.33 tff(4658,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4659,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s266, s267)) | trans(s266, s267))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4660,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s266, s267)) | trans(s266, s267)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4659, 4658])).
% 4.55/3.33 tff(4661,plain,
% 4.55/3.33 (trans(s266, s267)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4660, 4657, 46])).
% 4.55/3.33 tff(4662,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s266, s267)) | (~always3(s266)) | always3(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s266, s267)) | (~always3(s266)) | always3(s267))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4663,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s266, s267)) | (~always3(s266)) | always3(s267))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4664,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s266, s267)) | (~always3(s266)) | always3(s267)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4663, 4662])).
% 4.55/3.33 tff(4665,plain,
% 4.55/3.33 ((~always3(s266)) | always3(s267)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4664, 63, 4661])).
% 4.55/3.33 tff(4666,plain,
% 4.55/3.33 (~always3(s266)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4665, 4654])).
% 4.55/3.33 tff(4667,plain,
% 4.55/3.33 (succ(s265, s266) <=> succ(s265, s266)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4668,axiom,(succ(s265, s266)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound266')).
% 4.55/3.33 tff(4669,plain,
% 4.55/3.33 (succ(s265, s266)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4668, 4667])).
% 4.55/3.33 tff(4670,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4671,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s265, s266)) | trans(s265, s266))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4672,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s265, s266)) | trans(s265, s266)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 4.55/3.33 tff(4673,plain,
% 4.55/3.33 (trans(s265, s266)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4672, 4669, 46])).
% 4.55/3.33 tff(4674,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s265, s266)) | (~always3(s265)) | always3(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s265, s266)) | (~always3(s265)) | always3(s266))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4675,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s265, s266)) | (~always3(s265)) | always3(s266))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4676,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s265, s266)) | (~always3(s265)) | always3(s266)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4675, 4674])).
% 4.55/3.33 tff(4677,plain,
% 4.55/3.33 ((~always3(s265)) | always3(s266)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4676, 63, 4673])).
% 4.55/3.33 tff(4678,plain,
% 4.55/3.33 (~always3(s265)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4677, 4666])).
% 4.55/3.33 tff(4679,plain,
% 4.55/3.33 (succ(s264, s265) <=> succ(s264, s265)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4680,axiom,(succ(s264, s265)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound265')).
% 4.55/3.33 tff(4681,plain,
% 4.55/3.33 (succ(s264, s265)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4680, 4679])).
% 4.55/3.33 tff(4682,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4683,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s264, s265)) | trans(s264, s265))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4684,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s264, s265)) | trans(s264, s265)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4683, 4682])).
% 4.55/3.33 tff(4685,plain,
% 4.55/3.33 (trans(s264, s265)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4684, 4681, 46])).
% 4.55/3.33 tff(4686,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s264, s265)) | (~always3(s264)) | always3(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s264, s265)) | (~always3(s264)) | always3(s265))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4687,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s264, s265)) | (~always3(s264)) | always3(s265))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4688,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s264, s265)) | (~always3(s264)) | always3(s265)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4687, 4686])).
% 4.55/3.33 tff(4689,plain,
% 4.55/3.33 ((~always3(s264)) | always3(s265)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4688, 63, 4685])).
% 4.55/3.33 tff(4690,plain,
% 4.55/3.33 (~always3(s264)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4689, 4678])).
% 4.55/3.33 tff(4691,plain,
% 4.55/3.33 (succ(s263, s264) <=> succ(s263, s264)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4692,axiom,(succ(s263, s264)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound264')).
% 4.55/3.33 tff(4693,plain,
% 4.55/3.33 (succ(s263, s264)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4692, 4691])).
% 4.55/3.33 tff(4694,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4695,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s263, s264)) | trans(s263, s264))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4696,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s263, s264)) | trans(s263, s264)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4695, 4694])).
% 4.55/3.33 tff(4697,plain,
% 4.55/3.33 (trans(s263, s264)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4696, 4693, 46])).
% 4.55/3.33 tff(4698,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s263, s264)) | (~always3(s263)) | always3(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s263, s264)) | (~always3(s263)) | always3(s264))),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4699,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s263, s264)) | (~always3(s263)) | always3(s264))),
% 4.55/3.33 inference(quant_inst,[status(thm)],[])).
% 4.55/3.33 tff(4700,plain,
% 4.55/3.33 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s263, s264)) | (~always3(s263)) | always3(s264)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4699, 4698])).
% 4.55/3.33 tff(4701,plain,
% 4.55/3.33 ((~always3(s263)) | always3(s264)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4700, 63, 4697])).
% 4.55/3.33 tff(4702,plain,
% 4.55/3.33 (~always3(s263)),
% 4.55/3.33 inference(unit_resolution,[status(thm)],[4701, 4690])).
% 4.55/3.33 tff(4703,plain,
% 4.55/3.33 (succ(s262, s263) <=> succ(s262, s263)),
% 4.55/3.33 inference(rewrite,[status(thm)],[])).
% 4.55/3.33 tff(4704,axiom,(succ(s262, s263)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound263')).
% 4.55/3.33 tff(4705,plain,
% 4.55/3.33 (succ(s262, s263)),
% 4.55/3.33 inference(modus_ponens,[status(thm)],[4704, 4703])).
% 4.55/3.33 tff(4706,plain,
% 4.55/3.33 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4707,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s262, s263)) | trans(s262, s263))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4708,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s262, s263)) | trans(s262, s263)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4707, 4706])).
% 4.55/3.34 tff(4709,plain,
% 4.55/3.34 (trans(s262, s263)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4708, 4705, 46])).
% 4.55/3.34 tff(4710,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s262, s263)) | (~always3(s262)) | always3(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s262, s263)) | (~always3(s262)) | always3(s263))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4711,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s262, s263)) | (~always3(s262)) | always3(s263))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4712,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s262, s263)) | (~always3(s262)) | always3(s263)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 4.55/3.34 tff(4713,plain,
% 4.55/3.34 ((~always3(s262)) | always3(s263)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4712, 63, 4709])).
% 4.55/3.34 tff(4714,plain,
% 4.55/3.34 (~always3(s262)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4713, 4702])).
% 4.55/3.34 tff(4715,plain,
% 4.55/3.34 (succ(s261, s262) <=> succ(s261, s262)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4716,axiom,(succ(s261, s262)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound262')).
% 4.55/3.34 tff(4717,plain,
% 4.55/3.34 (succ(s261, s262)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4716, 4715])).
% 4.55/3.34 tff(4718,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4719,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s261, s262)) | trans(s261, s262))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4720,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s261, s262)) | trans(s261, s262)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4719, 4718])).
% 4.55/3.34 tff(4721,plain,
% 4.55/3.34 (trans(s261, s262)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4720, 4717, 46])).
% 4.55/3.34 tff(4722,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s261, s262)) | (~always3(s261)) | always3(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s261, s262)) | (~always3(s261)) | always3(s262))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4723,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s261, s262)) | (~always3(s261)) | always3(s262))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4724,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s261, s262)) | (~always3(s261)) | always3(s262)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4723, 4722])).
% 4.55/3.34 tff(4725,plain,
% 4.55/3.34 ((~always3(s261)) | always3(s262)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4724, 63, 4721])).
% 4.55/3.34 tff(4726,plain,
% 4.55/3.34 (~always3(s261)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4725, 4714])).
% 4.55/3.34 tff(4727,plain,
% 4.55/3.34 (succ(s260, s261) <=> succ(s260, s261)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4728,axiom,(succ(s260, s261)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound261')).
% 4.55/3.34 tff(4729,plain,
% 4.55/3.34 (succ(s260, s261)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4728, 4727])).
% 4.55/3.34 tff(4730,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4731,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s260, s261)) | trans(s260, s261))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4732,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s260, s261)) | trans(s260, s261)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4731, 4730])).
% 4.55/3.34 tff(4733,plain,
% 4.55/3.34 (trans(s260, s261)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4732, 4729, 46])).
% 4.55/3.34 tff(4734,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s260, s261)) | (~always3(s260)) | always3(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s260, s261)) | (~always3(s260)) | always3(s261))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4735,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s260, s261)) | (~always3(s260)) | always3(s261))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4736,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s260, s261)) | (~always3(s260)) | always3(s261)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4735, 4734])).
% 4.55/3.34 tff(4737,plain,
% 4.55/3.34 ((~always3(s260)) | always3(s261)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4736, 63, 4733])).
% 4.55/3.34 tff(4738,plain,
% 4.55/3.34 (~always3(s260)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4737, 4726])).
% 4.55/3.34 tff(4739,plain,
% 4.55/3.34 (succ(s259, s260) <=> succ(s259, s260)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4740,axiom,(succ(s259, s260)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound260')).
% 4.55/3.34 tff(4741,plain,
% 4.55/3.34 (succ(s259, s260)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4740, 4739])).
% 4.55/3.34 tff(4742,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4743,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s259, s260)) | trans(s259, s260))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4744,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s259, s260)) | trans(s259, s260)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 4.55/3.34 tff(4745,plain,
% 4.55/3.34 (trans(s259, s260)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4744, 4741, 46])).
% 4.55/3.34 tff(4746,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s259, s260)) | (~always3(s259)) | always3(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s259, s260)) | (~always3(s259)) | always3(s260))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4747,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s259, s260)) | (~always3(s259)) | always3(s260))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4748,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s259, s260)) | (~always3(s259)) | always3(s260)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 4.55/3.34 tff(4749,plain,
% 4.55/3.34 ((~always3(s259)) | always3(s260)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4748, 63, 4745])).
% 4.55/3.34 tff(4750,plain,
% 4.55/3.34 (~always3(s259)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4749, 4738])).
% 4.55/3.34 tff(4751,plain,
% 4.55/3.34 (succ(s258, s259) <=> succ(s258, s259)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4752,axiom,(succ(s258, s259)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound259')).
% 4.55/3.34 tff(4753,plain,
% 4.55/3.34 (succ(s258, s259)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4752, 4751])).
% 4.55/3.34 tff(4754,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4755,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s258, s259)) | trans(s258, s259))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4756,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s258, s259)) | trans(s258, s259)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4755, 4754])).
% 4.55/3.34 tff(4757,plain,
% 4.55/3.34 (trans(s258, s259)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4756, 4753, 46])).
% 4.55/3.34 tff(4758,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s258, s259)) | (~always3(s258)) | always3(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s258, s259)) | (~always3(s258)) | always3(s259))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4759,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s258, s259)) | (~always3(s258)) | always3(s259))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4760,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s258, s259)) | (~always3(s258)) | always3(s259)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4759, 4758])).
% 4.55/3.34 tff(4761,plain,
% 4.55/3.34 ((~always3(s258)) | always3(s259)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4760, 63, 4757])).
% 4.55/3.34 tff(4762,plain,
% 4.55/3.34 (~always3(s258)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4761, 4750])).
% 4.55/3.34 tff(4763,plain,
% 4.55/3.34 (succ(s257, s258) <=> succ(s257, s258)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4764,axiom,(succ(s257, s258)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound258')).
% 4.55/3.34 tff(4765,plain,
% 4.55/3.34 (succ(s257, s258)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4764, 4763])).
% 4.55/3.34 tff(4766,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4767,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s257, s258)) | trans(s257, s258))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4768,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s257, s258)) | trans(s257, s258)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 4.55/3.34 tff(4769,plain,
% 4.55/3.34 (trans(s257, s258)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4768, 4765, 46])).
% 4.55/3.34 tff(4770,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s257, s258)) | (~always3(s257)) | always3(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s257, s258)) | (~always3(s257)) | always3(s258))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4771,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s257, s258)) | (~always3(s257)) | always3(s258))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4772,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s257, s258)) | (~always3(s257)) | always3(s258)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4771, 4770])).
% 4.55/3.34 tff(4773,plain,
% 4.55/3.34 ((~always3(s257)) | always3(s258)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4772, 63, 4769])).
% 4.55/3.34 tff(4774,plain,
% 4.55/3.34 (~always3(s257)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4773, 4762])).
% 4.55/3.34 tff(4775,plain,
% 4.55/3.34 (succ(s256, s257) <=> succ(s256, s257)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4776,axiom,(succ(s256, s257)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound257')).
% 4.55/3.34 tff(4777,plain,
% 4.55/3.34 (succ(s256, s257)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4776, 4775])).
% 4.55/3.34 tff(4778,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4779,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s256, s257)) | trans(s256, s257))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4780,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s256, s257)) | trans(s256, s257)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 4.55/3.34 tff(4781,plain,
% 4.55/3.34 (trans(s256, s257)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4780, 4777, 46])).
% 4.55/3.34 tff(4782,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s256, s257)) | (~always3(s256)) | always3(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s256, s257)) | (~always3(s256)) | always3(s257))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4783,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s256, s257)) | (~always3(s256)) | always3(s257))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4784,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s256, s257)) | (~always3(s256)) | always3(s257)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 4.55/3.34 tff(4785,plain,
% 4.55/3.34 ((~always3(s256)) | always3(s257)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4784, 63, 4781])).
% 4.55/3.34 tff(4786,plain,
% 4.55/3.34 (~always3(s256)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4785, 4774])).
% 4.55/3.34 tff(4787,plain,
% 4.55/3.34 (succ(s255, s256) <=> succ(s255, s256)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4788,axiom,(succ(s255, s256)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound256')).
% 4.55/3.34 tff(4789,plain,
% 4.55/3.34 (succ(s255, s256)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4788, 4787])).
% 4.55/3.34 tff(4790,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4791,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s255, s256)) | trans(s255, s256))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4792,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s255, s256)) | trans(s255, s256)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4791, 4790])).
% 4.55/3.34 tff(4793,plain,
% 4.55/3.34 (trans(s255, s256)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4792, 4789, 46])).
% 4.55/3.34 tff(4794,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s255, s256)) | (~always3(s255)) | always3(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s255, s256)) | (~always3(s255)) | always3(s256))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4795,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s255, s256)) | (~always3(s255)) | always3(s256))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4796,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s255, s256)) | (~always3(s255)) | always3(s256)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4795, 4794])).
% 4.55/3.34 tff(4797,plain,
% 4.55/3.34 ((~always3(s255)) | always3(s256)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4796, 63, 4793])).
% 4.55/3.34 tff(4798,plain,
% 4.55/3.34 (~always3(s255)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4797, 4786])).
% 4.55/3.34 tff(4799,plain,
% 4.55/3.34 (succ(s254, s255) <=> succ(s254, s255)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4800,axiom,(succ(s254, s255)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound255')).
% 4.55/3.34 tff(4801,plain,
% 4.55/3.34 (succ(s254, s255)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4800, 4799])).
% 4.55/3.34 tff(4802,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4803,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s254, s255)) | trans(s254, s255))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4804,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s254, s255)) | trans(s254, s255)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4803, 4802])).
% 4.55/3.34 tff(4805,plain,
% 4.55/3.34 (trans(s254, s255)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4804, 4801, 46])).
% 4.55/3.34 tff(4806,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s254, s255)) | (~always3(s254)) | always3(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s254, s255)) | (~always3(s254)) | always3(s255))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4807,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s254, s255)) | (~always3(s254)) | always3(s255))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4808,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s254, s255)) | (~always3(s254)) | always3(s255)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4807, 4806])).
% 4.55/3.34 tff(4809,plain,
% 4.55/3.34 ((~always3(s254)) | always3(s255)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4808, 63, 4805])).
% 4.55/3.34 tff(4810,plain,
% 4.55/3.34 (~always3(s254)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4809, 4798])).
% 4.55/3.34 tff(4811,plain,
% 4.55/3.34 (succ(s253, s254) <=> succ(s253, s254)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4812,axiom,(succ(s253, s254)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound254')).
% 4.55/3.34 tff(4813,plain,
% 4.55/3.34 (succ(s253, s254)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4812, 4811])).
% 4.55/3.34 tff(4814,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4815,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s253, s254)) | trans(s253, s254))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4816,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s253, s254)) | trans(s253, s254)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4815, 4814])).
% 4.55/3.34 tff(4817,plain,
% 4.55/3.34 (trans(s253, s254)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4816, 4813, 46])).
% 4.55/3.34 tff(4818,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s253, s254)) | (~always3(s253)) | always3(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s253, s254)) | (~always3(s253)) | always3(s254))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4819,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s253, s254)) | (~always3(s253)) | always3(s254))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4820,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s253, s254)) | (~always3(s253)) | always3(s254)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4819, 4818])).
% 4.55/3.34 tff(4821,plain,
% 4.55/3.34 ((~always3(s253)) | always3(s254)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4820, 63, 4817])).
% 4.55/3.34 tff(4822,plain,
% 4.55/3.34 (~always3(s253)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4821, 4810])).
% 4.55/3.34 tff(4823,plain,
% 4.55/3.34 (succ(s252, s253) <=> succ(s252, s253)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4824,axiom,(succ(s252, s253)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound253')).
% 4.55/3.34 tff(4825,plain,
% 4.55/3.34 (succ(s252, s253)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4824, 4823])).
% 4.55/3.34 tff(4826,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4827,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s252, s253)) | trans(s252, s253))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4828,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s252, s253)) | trans(s252, s253)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4827, 4826])).
% 4.55/3.34 tff(4829,plain,
% 4.55/3.34 (trans(s252, s253)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4828, 4825, 46])).
% 4.55/3.34 tff(4830,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s252, s253)) | (~always3(s252)) | always3(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s252, s253)) | (~always3(s252)) | always3(s253))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4831,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s252, s253)) | (~always3(s252)) | always3(s253))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4832,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s252, s253)) | (~always3(s252)) | always3(s253)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4831, 4830])).
% 4.55/3.34 tff(4833,plain,
% 4.55/3.34 ((~always3(s252)) | always3(s253)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4832, 63, 4829])).
% 4.55/3.34 tff(4834,plain,
% 4.55/3.34 (~always3(s252)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4833, 4822])).
% 4.55/3.34 tff(4835,plain,
% 4.55/3.34 (succ(s251, s252) <=> succ(s251, s252)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4836,axiom,(succ(s251, s252)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound252')).
% 4.55/3.34 tff(4837,plain,
% 4.55/3.34 (succ(s251, s252)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4836, 4835])).
% 4.55/3.34 tff(4838,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4839,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s251, s252)) | trans(s251, s252))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4840,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s251, s252)) | trans(s251, s252)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4839, 4838])).
% 4.55/3.34 tff(4841,plain,
% 4.55/3.34 (trans(s251, s252)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4840, 4837, 46])).
% 4.55/3.34 tff(4842,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s251, s252)) | (~always3(s251)) | always3(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s251, s252)) | (~always3(s251)) | always3(s252))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4843,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s251, s252)) | (~always3(s251)) | always3(s252))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4844,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s251, s252)) | (~always3(s251)) | always3(s252)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4843, 4842])).
% 4.55/3.34 tff(4845,plain,
% 4.55/3.34 ((~always3(s251)) | always3(s252)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4844, 63, 4841])).
% 4.55/3.34 tff(4846,plain,
% 4.55/3.34 (~always3(s251)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4845, 4834])).
% 4.55/3.34 tff(4847,plain,
% 4.55/3.34 (succ(s250, s251) <=> succ(s250, s251)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4848,axiom,(succ(s250, s251)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound251')).
% 4.55/3.34 tff(4849,plain,
% 4.55/3.34 (succ(s250, s251)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 4.55/3.34 tff(4850,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4851,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s250, s251)) | trans(s250, s251))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4852,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s250, s251)) | trans(s250, s251)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4851, 4850])).
% 4.55/3.34 tff(4853,plain,
% 4.55/3.34 (trans(s250, s251)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4852, 4849, 46])).
% 4.55/3.34 tff(4854,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s250, s251)) | (~always3(s250)) | always3(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s250, s251)) | (~always3(s250)) | always3(s251))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4855,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s250, s251)) | (~always3(s250)) | always3(s251))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4856,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s250, s251)) | (~always3(s250)) | always3(s251)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4855, 4854])).
% 4.55/3.34 tff(4857,plain,
% 4.55/3.34 ((~always3(s250)) | always3(s251)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4856, 63, 4853])).
% 4.55/3.34 tff(4858,plain,
% 4.55/3.34 (~always3(s250)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4857, 4846])).
% 4.55/3.34 tff(4859,plain,
% 4.55/3.34 (succ(s249, s250) <=> succ(s249, s250)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4860,axiom,(succ(s249, s250)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound250')).
% 4.55/3.34 tff(4861,plain,
% 4.55/3.34 (succ(s249, s250)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4860, 4859])).
% 4.55/3.34 tff(4862,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4863,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s249, s250)) | trans(s249, s250))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4864,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s249, s250)) | trans(s249, s250)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4863, 4862])).
% 4.55/3.34 tff(4865,plain,
% 4.55/3.34 (trans(s249, s250)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4864, 4861, 46])).
% 4.55/3.34 tff(4866,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s249, s250)) | (~always3(s249)) | always3(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s249, s250)) | (~always3(s249)) | always3(s250))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4867,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s249, s250)) | (~always3(s249)) | always3(s250))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4868,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s249, s250)) | (~always3(s249)) | always3(s250)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4867, 4866])).
% 4.55/3.34 tff(4869,plain,
% 4.55/3.34 ((~always3(s249)) | always3(s250)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4868, 63, 4865])).
% 4.55/3.34 tff(4870,plain,
% 4.55/3.34 (~always3(s249)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4869, 4858])).
% 4.55/3.34 tff(4871,plain,
% 4.55/3.34 (succ(s248, s249) <=> succ(s248, s249)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4872,axiom,(succ(s248, s249)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound249')).
% 4.55/3.34 tff(4873,plain,
% 4.55/3.34 (succ(s248, s249)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 4.55/3.34 tff(4874,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4875,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s248, s249)) | trans(s248, s249))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4876,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s248, s249)) | trans(s248, s249)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4875, 4874])).
% 4.55/3.34 tff(4877,plain,
% 4.55/3.34 (trans(s248, s249)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4876, 4873, 46])).
% 4.55/3.34 tff(4878,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s248, s249)) | (~always3(s248)) | always3(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s248, s249)) | (~always3(s248)) | always3(s249))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4879,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s248, s249)) | (~always3(s248)) | always3(s249))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4880,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s248, s249)) | (~always3(s248)) | always3(s249)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4879, 4878])).
% 4.55/3.34 tff(4881,plain,
% 4.55/3.34 ((~always3(s248)) | always3(s249)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4880, 63, 4877])).
% 4.55/3.34 tff(4882,plain,
% 4.55/3.34 (~always3(s248)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4881, 4870])).
% 4.55/3.34 tff(4883,plain,
% 4.55/3.34 (succ(s247, s248) <=> succ(s247, s248)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4884,axiom,(succ(s247, s248)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound248')).
% 4.55/3.34 tff(4885,plain,
% 4.55/3.34 (succ(s247, s248)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4884, 4883])).
% 4.55/3.34 tff(4886,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4887,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s247, s248)) | trans(s247, s248))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4888,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s247, s248)) | trans(s247, s248)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4887, 4886])).
% 4.55/3.34 tff(4889,plain,
% 4.55/3.34 (trans(s247, s248)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4888, 4885, 46])).
% 4.55/3.34 tff(4890,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s247, s248)) | (~always3(s247)) | always3(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s247, s248)) | (~always3(s247)) | always3(s248))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4891,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s247, s248)) | (~always3(s247)) | always3(s248))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4892,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s247, s248)) | (~always3(s247)) | always3(s248)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 4.55/3.34 tff(4893,plain,
% 4.55/3.34 ((~always3(s247)) | always3(s248)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4892, 63, 4889])).
% 4.55/3.34 tff(4894,plain,
% 4.55/3.34 (~always3(s247)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4893, 4882])).
% 4.55/3.34 tff(4895,plain,
% 4.55/3.34 (succ(s246, s247) <=> succ(s246, s247)),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4896,axiom,(succ(s246, s247)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound247')).
% 4.55/3.34 tff(4897,plain,
% 4.55/3.34 (succ(s246, s247)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4896, 4895])).
% 4.55/3.34 tff(4898,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4899,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s246, s247)) | trans(s246, s247))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4900,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s246, s247)) | trans(s246, s247)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 4.55/3.34 tff(4901,plain,
% 4.55/3.34 (trans(s246, s247)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4900, 4897, 46])).
% 4.55/3.34 tff(4902,plain,
% 4.55/3.34 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s246, s247)) | (~always3(s246)) | always3(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s246, s247)) | (~always3(s246)) | always3(s247))),
% 4.55/3.34 inference(rewrite,[status(thm)],[])).
% 4.55/3.34 tff(4903,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s246, s247)) | (~always3(s246)) | always3(s247))),
% 4.55/3.34 inference(quant_inst,[status(thm)],[])).
% 4.55/3.34 tff(4904,plain,
% 4.55/3.34 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s246, s247)) | (~always3(s246)) | always3(s247)),
% 4.55/3.34 inference(modus_ponens,[status(thm)],[4903, 4902])).
% 4.55/3.34 tff(4905,plain,
% 4.55/3.34 ((~always3(s246)) | always3(s247)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4904, 63, 4901])).
% 4.55/3.34 tff(4906,plain,
% 4.55/3.34 (~always3(s246)),
% 4.55/3.34 inference(unit_resolution,[status(thm)],[4905, 4894])).
% 4.55/3.35 tff(4907,plain,
% 4.55/3.35 (succ(s245, s246) <=> succ(s245, s246)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4908,axiom,(succ(s245, s246)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound246')).
% 4.55/3.35 tff(4909,plain,
% 4.55/3.35 (succ(s245, s246)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4908, 4907])).
% 4.55/3.35 tff(4910,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4911,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s245, s246)) | trans(s245, s246))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4912,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s245, s246)) | trans(s245, s246)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4911, 4910])).
% 4.55/3.35 tff(4913,plain,
% 4.55/3.35 (trans(s245, s246)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4912, 4909, 46])).
% 4.55/3.35 tff(4914,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s245, s246)) | (~always3(s245)) | always3(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s245, s246)) | (~always3(s245)) | always3(s246))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4915,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s245, s246)) | (~always3(s245)) | always3(s246))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4916,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s245, s246)) | (~always3(s245)) | always3(s246)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4915, 4914])).
% 4.55/3.35 tff(4917,plain,
% 4.55/3.35 ((~always3(s245)) | always3(s246)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4916, 63, 4913])).
% 4.55/3.35 tff(4918,plain,
% 4.55/3.35 (~always3(s245)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4917, 4906])).
% 4.55/3.35 tff(4919,plain,
% 4.55/3.35 (succ(s244, s245) <=> succ(s244, s245)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4920,axiom,(succ(s244, s245)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound245')).
% 4.55/3.35 tff(4921,plain,
% 4.55/3.35 (succ(s244, s245)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4920, 4919])).
% 4.55/3.35 tff(4922,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4923,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s244, s245)) | trans(s244, s245))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4924,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s244, s245)) | trans(s244, s245)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 4.55/3.35 tff(4925,plain,
% 4.55/3.35 (trans(s244, s245)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4924, 4921, 46])).
% 4.55/3.35 tff(4926,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s244, s245)) | (~always3(s244)) | always3(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s244, s245)) | (~always3(s244)) | always3(s245))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4927,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s244, s245)) | (~always3(s244)) | always3(s245))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4928,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s244, s245)) | (~always3(s244)) | always3(s245)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4927, 4926])).
% 4.55/3.35 tff(4929,plain,
% 4.55/3.35 ((~always3(s244)) | always3(s245)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4928, 63, 4925])).
% 4.55/3.35 tff(4930,plain,
% 4.55/3.35 (~always3(s244)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4929, 4918])).
% 4.55/3.35 tff(4931,plain,
% 4.55/3.35 (succ(s243, s244) <=> succ(s243, s244)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4932,axiom,(succ(s243, s244)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound244')).
% 4.55/3.35 tff(4933,plain,
% 4.55/3.35 (succ(s243, s244)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4932, 4931])).
% 4.55/3.35 tff(4934,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4935,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s243, s244)) | trans(s243, s244))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4936,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s243, s244)) | trans(s243, s244)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4935, 4934])).
% 4.55/3.35 tff(4937,plain,
% 4.55/3.35 (trans(s243, s244)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4936, 4933, 46])).
% 4.55/3.35 tff(4938,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s243, s244)) | (~always3(s243)) | always3(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s243, s244)) | (~always3(s243)) | always3(s244))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4939,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s243, s244)) | (~always3(s243)) | always3(s244))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4940,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s243, s244)) | (~always3(s243)) | always3(s244)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 4.55/3.35 tff(4941,plain,
% 4.55/3.35 ((~always3(s243)) | always3(s244)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4940, 63, 4937])).
% 4.55/3.35 tff(4942,plain,
% 4.55/3.35 (~always3(s243)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4941, 4930])).
% 4.55/3.35 tff(4943,plain,
% 4.55/3.35 (succ(s242, s243) <=> succ(s242, s243)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4944,axiom,(succ(s242, s243)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound243')).
% 4.55/3.35 tff(4945,plain,
% 4.55/3.35 (succ(s242, s243)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4944, 4943])).
% 4.55/3.35 tff(4946,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4947,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s242, s243)) | trans(s242, s243))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4948,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s242, s243)) | trans(s242, s243)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4947, 4946])).
% 4.55/3.35 tff(4949,plain,
% 4.55/3.35 (trans(s242, s243)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4948, 4945, 46])).
% 4.55/3.35 tff(4950,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s242, s243)) | (~always3(s242)) | always3(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s242, s243)) | (~always3(s242)) | always3(s243))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4951,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s242, s243)) | (~always3(s242)) | always3(s243))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4952,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s242, s243)) | (~always3(s242)) | always3(s243)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4951, 4950])).
% 4.55/3.35 tff(4953,plain,
% 4.55/3.35 ((~always3(s242)) | always3(s243)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4952, 63, 4949])).
% 4.55/3.35 tff(4954,plain,
% 4.55/3.35 (~always3(s242)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4953, 4942])).
% 4.55/3.35 tff(4955,plain,
% 4.55/3.35 (succ(s241, s242) <=> succ(s241, s242)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4956,axiom,(succ(s241, s242)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound242')).
% 4.55/3.35 tff(4957,plain,
% 4.55/3.35 (succ(s241, s242)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4956, 4955])).
% 4.55/3.35 tff(4958,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4959,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s241, s242)) | trans(s241, s242))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4960,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s241, s242)) | trans(s241, s242)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4959, 4958])).
% 4.55/3.35 tff(4961,plain,
% 4.55/3.35 (trans(s241, s242)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4960, 4957, 46])).
% 4.55/3.35 tff(4962,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s241, s242)) | (~always3(s241)) | always3(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s241, s242)) | (~always3(s241)) | always3(s242))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4963,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s241, s242)) | (~always3(s241)) | always3(s242))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4964,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s241, s242)) | (~always3(s241)) | always3(s242)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4963, 4962])).
% 4.55/3.35 tff(4965,plain,
% 4.55/3.35 ((~always3(s241)) | always3(s242)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4964, 63, 4961])).
% 4.55/3.35 tff(4966,plain,
% 4.55/3.35 (~always3(s241)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4965, 4954])).
% 4.55/3.35 tff(4967,plain,
% 4.55/3.35 (succ(s240, s241) <=> succ(s240, s241)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4968,axiom,(succ(s240, s241)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound241')).
% 4.55/3.35 tff(4969,plain,
% 4.55/3.35 (succ(s240, s241)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4968, 4967])).
% 4.55/3.35 tff(4970,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4971,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s240, s241)) | trans(s240, s241))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4972,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s240, s241)) | trans(s240, s241)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4971, 4970])).
% 4.55/3.35 tff(4973,plain,
% 4.55/3.35 (trans(s240, s241)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4972, 4969, 46])).
% 4.55/3.35 tff(4974,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s240, s241)) | (~always3(s240)) | always3(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s240, s241)) | (~always3(s240)) | always3(s241))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4975,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s240, s241)) | (~always3(s240)) | always3(s241))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4976,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s240, s241)) | (~always3(s240)) | always3(s241)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4975, 4974])).
% 4.55/3.35 tff(4977,plain,
% 4.55/3.35 ((~always3(s240)) | always3(s241)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4976, 63, 4973])).
% 4.55/3.35 tff(4978,plain,
% 4.55/3.35 (~always3(s240)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4977, 4966])).
% 4.55/3.35 tff(4979,plain,
% 4.55/3.35 (succ(s239, s240) <=> succ(s239, s240)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4980,axiom,(succ(s239, s240)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound240')).
% 4.55/3.35 tff(4981,plain,
% 4.55/3.35 (succ(s239, s240)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4980, 4979])).
% 4.55/3.35 tff(4982,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4983,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s239, s240)) | trans(s239, s240))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4984,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s239, s240)) | trans(s239, s240)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4983, 4982])).
% 4.55/3.35 tff(4985,plain,
% 4.55/3.35 (trans(s239, s240)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4984, 4981, 46])).
% 4.55/3.35 tff(4986,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s239, s240)) | (~always3(s239)) | always3(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s239, s240)) | (~always3(s239)) | always3(s240))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4987,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s239, s240)) | (~always3(s239)) | always3(s240))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4988,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s239, s240)) | (~always3(s239)) | always3(s240)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4987, 4986])).
% 4.55/3.35 tff(4989,plain,
% 4.55/3.35 ((~always3(s239)) | always3(s240)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4988, 63, 4985])).
% 4.55/3.35 tff(4990,plain,
% 4.55/3.35 (~always3(s239)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4989, 4978])).
% 4.55/3.35 tff(4991,plain,
% 4.55/3.35 (succ(s238, s239) <=> succ(s238, s239)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4992,axiom,(succ(s238, s239)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound239')).
% 4.55/3.35 tff(4993,plain,
% 4.55/3.35 (succ(s238, s239)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 4.55/3.35 tff(4994,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4995,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s238, s239)) | trans(s238, s239))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(4996,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s238, s239)) | trans(s238, s239)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4995, 4994])).
% 4.55/3.35 tff(4997,plain,
% 4.55/3.35 (trans(s238, s239)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[4996, 4993, 46])).
% 4.55/3.35 tff(4998,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s238, s239)) | (~always3(s238)) | always3(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s238, s239)) | (~always3(s238)) | always3(s239))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(4999,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s238, s239)) | (~always3(s238)) | always3(s239))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5000,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s238, s239)) | (~always3(s238)) | always3(s239)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 4.55/3.35 tff(5001,plain,
% 4.55/3.35 ((~always3(s238)) | always3(s239)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5000, 63, 4997])).
% 4.55/3.35 tff(5002,plain,
% 4.55/3.35 (~always3(s238)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5001, 4990])).
% 4.55/3.35 tff(5003,plain,
% 4.55/3.35 (succ(s237, s238) <=> succ(s237, s238)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5004,axiom,(succ(s237, s238)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound238')).
% 4.55/3.35 tff(5005,plain,
% 4.55/3.35 (succ(s237, s238)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5004, 5003])).
% 4.55/3.35 tff(5006,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5007,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s237, s238)) | trans(s237, s238))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5008,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s237, s238)) | trans(s237, s238)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5007, 5006])).
% 4.55/3.35 tff(5009,plain,
% 4.55/3.35 (trans(s237, s238)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5008, 5005, 46])).
% 4.55/3.35 tff(5010,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s237, s238)) | (~always3(s237)) | always3(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s237, s238)) | (~always3(s237)) | always3(s238))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5011,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s237, s238)) | (~always3(s237)) | always3(s238))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5012,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s237, s238)) | (~always3(s237)) | always3(s238)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5011, 5010])).
% 4.55/3.35 tff(5013,plain,
% 4.55/3.35 ((~always3(s237)) | always3(s238)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5012, 63, 5009])).
% 4.55/3.35 tff(5014,plain,
% 4.55/3.35 (~always3(s237)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5013, 5002])).
% 4.55/3.35 tff(5015,plain,
% 4.55/3.35 (succ(s236, s237) <=> succ(s236, s237)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5016,axiom,(succ(s236, s237)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound237')).
% 4.55/3.35 tff(5017,plain,
% 4.55/3.35 (succ(s236, s237)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5016, 5015])).
% 4.55/3.35 tff(5018,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5019,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s236, s237)) | trans(s236, s237))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5020,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s236, s237)) | trans(s236, s237)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5019, 5018])).
% 4.55/3.35 tff(5021,plain,
% 4.55/3.35 (trans(s236, s237)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5020, 5017, 46])).
% 4.55/3.35 tff(5022,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s236, s237)) | (~always3(s236)) | always3(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s236, s237)) | (~always3(s236)) | always3(s237))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5023,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s236, s237)) | (~always3(s236)) | always3(s237))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5024,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s236, s237)) | (~always3(s236)) | always3(s237)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5023, 5022])).
% 4.55/3.35 tff(5025,plain,
% 4.55/3.35 ((~always3(s236)) | always3(s237)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5024, 63, 5021])).
% 4.55/3.35 tff(5026,plain,
% 4.55/3.35 (~always3(s236)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5025, 5014])).
% 4.55/3.35 tff(5027,plain,
% 4.55/3.35 (succ(s235, s236) <=> succ(s235, s236)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5028,axiom,(succ(s235, s236)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound236')).
% 4.55/3.35 tff(5029,plain,
% 4.55/3.35 (succ(s235, s236)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 4.55/3.35 tff(5030,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5031,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s235, s236)) | trans(s235, s236))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5032,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s235, s236)) | trans(s235, s236)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5031, 5030])).
% 4.55/3.35 tff(5033,plain,
% 4.55/3.35 (trans(s235, s236)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5032, 5029, 46])).
% 4.55/3.35 tff(5034,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s235, s236)) | (~always3(s235)) | always3(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s235, s236)) | (~always3(s235)) | always3(s236))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5035,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s235, s236)) | (~always3(s235)) | always3(s236))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5036,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s235, s236)) | (~always3(s235)) | always3(s236)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 4.55/3.35 tff(5037,plain,
% 4.55/3.35 ((~always3(s235)) | always3(s236)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5036, 63, 5033])).
% 4.55/3.35 tff(5038,plain,
% 4.55/3.35 (~always3(s235)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5037, 5026])).
% 4.55/3.35 tff(5039,plain,
% 4.55/3.35 (succ(s234, s235) <=> succ(s234, s235)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5040,axiom,(succ(s234, s235)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound235')).
% 4.55/3.35 tff(5041,plain,
% 4.55/3.35 (succ(s234, s235)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5040, 5039])).
% 4.55/3.35 tff(5042,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5043,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s234, s235)) | trans(s234, s235))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5044,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s234, s235)) | trans(s234, s235)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5043, 5042])).
% 4.55/3.35 tff(5045,plain,
% 4.55/3.35 (trans(s234, s235)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5044, 5041, 46])).
% 4.55/3.35 tff(5046,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s234, s235)) | (~always3(s234)) | always3(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s234, s235)) | (~always3(s234)) | always3(s235))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5047,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s234, s235)) | (~always3(s234)) | always3(s235))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5048,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s234, s235)) | (~always3(s234)) | always3(s235)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5047, 5046])).
% 4.55/3.35 tff(5049,plain,
% 4.55/3.35 ((~always3(s234)) | always3(s235)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5048, 63, 5045])).
% 4.55/3.35 tff(5050,plain,
% 4.55/3.35 (~always3(s234)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5049, 5038])).
% 4.55/3.35 tff(5051,plain,
% 4.55/3.35 (succ(s233, s234) <=> succ(s233, s234)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5052,axiom,(succ(s233, s234)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound234')).
% 4.55/3.35 tff(5053,plain,
% 4.55/3.35 (succ(s233, s234)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 4.55/3.35 tff(5054,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5055,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s233, s234)) | trans(s233, s234))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5056,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s233, s234)) | trans(s233, s234)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5055, 5054])).
% 4.55/3.35 tff(5057,plain,
% 4.55/3.35 (trans(s233, s234)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5056, 5053, 46])).
% 4.55/3.35 tff(5058,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s233, s234)) | (~always3(s233)) | always3(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s233, s234)) | (~always3(s233)) | always3(s234))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5059,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s233, s234)) | (~always3(s233)) | always3(s234))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5060,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s233, s234)) | (~always3(s233)) | always3(s234)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5059, 5058])).
% 4.55/3.35 tff(5061,plain,
% 4.55/3.35 ((~always3(s233)) | always3(s234)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5060, 63, 5057])).
% 4.55/3.35 tff(5062,plain,
% 4.55/3.35 (~always3(s233)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5061, 5050])).
% 4.55/3.35 tff(5063,plain,
% 4.55/3.35 (succ(s232, s233) <=> succ(s232, s233)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5064,axiom,(succ(s232, s233)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound233')).
% 4.55/3.35 tff(5065,plain,
% 4.55/3.35 (succ(s232, s233)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5064, 5063])).
% 4.55/3.35 tff(5066,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5067,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s232, s233)) | trans(s232, s233))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5068,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s232, s233)) | trans(s232, s233)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5067, 5066])).
% 4.55/3.35 tff(5069,plain,
% 4.55/3.35 (trans(s232, s233)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5068, 5065, 46])).
% 4.55/3.35 tff(5070,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s232, s233)) | (~always3(s232)) | always3(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s232, s233)) | (~always3(s232)) | always3(s233))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5071,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s232, s233)) | (~always3(s232)) | always3(s233))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5072,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s232, s233)) | (~always3(s232)) | always3(s233)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5071, 5070])).
% 4.55/3.35 tff(5073,plain,
% 4.55/3.35 ((~always3(s232)) | always3(s233)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5072, 63, 5069])).
% 4.55/3.35 tff(5074,plain,
% 4.55/3.35 (~always3(s232)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5073, 5062])).
% 4.55/3.35 tff(5075,plain,
% 4.55/3.35 (succ(s231, s232) <=> succ(s231, s232)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5076,axiom,(succ(s231, s232)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound232')).
% 4.55/3.35 tff(5077,plain,
% 4.55/3.35 (succ(s231, s232)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5076, 5075])).
% 4.55/3.35 tff(5078,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5079,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s231, s232)) | trans(s231, s232))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5080,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s231, s232)) | trans(s231, s232)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5079, 5078])).
% 4.55/3.35 tff(5081,plain,
% 4.55/3.35 (trans(s231, s232)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5080, 5077, 46])).
% 4.55/3.35 tff(5082,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s231, s232)) | (~always3(s231)) | always3(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s231, s232)) | (~always3(s231)) | always3(s232))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5083,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s231, s232)) | (~always3(s231)) | always3(s232))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5084,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s231, s232)) | (~always3(s231)) | always3(s232)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 4.55/3.35 tff(5085,plain,
% 4.55/3.35 ((~always3(s231)) | always3(s232)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5084, 63, 5081])).
% 4.55/3.35 tff(5086,plain,
% 4.55/3.35 (~always3(s231)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5085, 5074])).
% 4.55/3.35 tff(5087,plain,
% 4.55/3.35 (succ(s230, s231) <=> succ(s230, s231)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5088,axiom,(succ(s230, s231)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound231')).
% 4.55/3.35 tff(5089,plain,
% 4.55/3.35 (succ(s230, s231)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5088, 5087])).
% 4.55/3.35 tff(5090,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5091,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s230, s231)) | trans(s230, s231))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5092,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s230, s231)) | trans(s230, s231)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5091, 5090])).
% 4.55/3.35 tff(5093,plain,
% 4.55/3.35 (trans(s230, s231)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5092, 5089, 46])).
% 4.55/3.35 tff(5094,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s230, s231)) | (~always3(s230)) | always3(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s230, s231)) | (~always3(s230)) | always3(s231))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5095,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s230, s231)) | (~always3(s230)) | always3(s231))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5096,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s230, s231)) | (~always3(s230)) | always3(s231)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5095, 5094])).
% 4.55/3.35 tff(5097,plain,
% 4.55/3.35 ((~always3(s230)) | always3(s231)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5096, 63, 5093])).
% 4.55/3.35 tff(5098,plain,
% 4.55/3.35 (~always3(s230)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5097, 5086])).
% 4.55/3.35 tff(5099,plain,
% 4.55/3.35 (succ(s229, s230) <=> succ(s229, s230)),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5100,axiom,(succ(s229, s230)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound230')).
% 4.55/3.35 tff(5101,plain,
% 4.55/3.35 (succ(s229, s230)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5100, 5099])).
% 4.55/3.35 tff(5102,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5103,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s229, s230)) | trans(s229, s230))),
% 4.55/3.35 inference(quant_inst,[status(thm)],[])).
% 4.55/3.35 tff(5104,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s229, s230)) | trans(s229, s230)),
% 4.55/3.35 inference(modus_ponens,[status(thm)],[5103, 5102])).
% 4.55/3.35 tff(5105,plain,
% 4.55/3.35 (trans(s229, s230)),
% 4.55/3.35 inference(unit_resolution,[status(thm)],[5104, 5101, 46])).
% 4.55/3.35 tff(5106,plain,
% 4.55/3.35 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s229, s230)) | (~always3(s229)) | always3(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s229, s230)) | (~always3(s229)) | always3(s230))),
% 4.55/3.35 inference(rewrite,[status(thm)],[])).
% 4.55/3.35 tff(5107,plain,
% 4.55/3.35 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s229, s230)) | (~always3(s229)) | always3(s230))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5108,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s229, s230)) | (~always3(s229)) | always3(s230)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5107, 5106])).
% 4.55/3.36 tff(5109,plain,
% 4.55/3.36 ((~always3(s229)) | always3(s230)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5108, 63, 5105])).
% 4.55/3.36 tff(5110,plain,
% 4.55/3.36 (~always3(s229)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5109, 5098])).
% 4.55/3.36 tff(5111,plain,
% 4.55/3.36 (succ(s228, s229) <=> succ(s228, s229)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5112,axiom,(succ(s228, s229)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound229')).
% 4.55/3.36 tff(5113,plain,
% 4.55/3.36 (succ(s228, s229)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 4.55/3.36 tff(5114,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5115,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s228, s229)) | trans(s228, s229))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5116,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s228, s229)) | trans(s228, s229)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5115, 5114])).
% 4.55/3.36 tff(5117,plain,
% 4.55/3.36 (trans(s228, s229)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5116, 5113, 46])).
% 4.55/3.36 tff(5118,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s228, s229)) | (~always3(s228)) | always3(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s228, s229)) | (~always3(s228)) | always3(s229))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5119,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s228, s229)) | (~always3(s228)) | always3(s229))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5120,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s228, s229)) | (~always3(s228)) | always3(s229)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 4.55/3.36 tff(5121,plain,
% 4.55/3.36 ((~always3(s228)) | always3(s229)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5120, 63, 5117])).
% 4.55/3.36 tff(5122,plain,
% 4.55/3.36 (~always3(s228)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5121, 5110])).
% 4.55/3.36 tff(5123,plain,
% 4.55/3.36 (succ(s227, s228) <=> succ(s227, s228)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5124,axiom,(succ(s227, s228)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound228')).
% 4.55/3.36 tff(5125,plain,
% 4.55/3.36 (succ(s227, s228)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 4.55/3.36 tff(5126,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5127,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s227, s228)) | trans(s227, s228))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5128,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s227, s228)) | trans(s227, s228)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 4.55/3.36 tff(5129,plain,
% 4.55/3.36 (trans(s227, s228)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5128, 5125, 46])).
% 4.55/3.36 tff(5130,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s227, s228)) | (~always3(s227)) | always3(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s227, s228)) | (~always3(s227)) | always3(s228))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5131,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s227, s228)) | (~always3(s227)) | always3(s228))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5132,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s227, s228)) | (~always3(s227)) | always3(s228)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5131, 5130])).
% 4.55/3.36 tff(5133,plain,
% 4.55/3.36 ((~always3(s227)) | always3(s228)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5132, 63, 5129])).
% 4.55/3.36 tff(5134,plain,
% 4.55/3.36 (~always3(s227)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5133, 5122])).
% 4.55/3.36 tff(5135,plain,
% 4.55/3.36 (succ(s226, s227) <=> succ(s226, s227)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5136,axiom,(succ(s226, s227)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound227')).
% 4.55/3.36 tff(5137,plain,
% 4.55/3.36 (succ(s226, s227)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5136, 5135])).
% 4.55/3.36 tff(5138,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5139,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s226, s227)) | trans(s226, s227))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5140,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s226, s227)) | trans(s226, s227)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5139, 5138])).
% 4.55/3.36 tff(5141,plain,
% 4.55/3.36 (trans(s226, s227)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5140, 5137, 46])).
% 4.55/3.36 tff(5142,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s226, s227)) | (~always3(s226)) | always3(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s226, s227)) | (~always3(s226)) | always3(s227))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5143,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s226, s227)) | (~always3(s226)) | always3(s227))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5144,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s226, s227)) | (~always3(s226)) | always3(s227)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5143, 5142])).
% 4.55/3.36 tff(5145,plain,
% 4.55/3.36 ((~always3(s226)) | always3(s227)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5144, 63, 5141])).
% 4.55/3.36 tff(5146,plain,
% 4.55/3.36 (~always3(s226)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5145, 5134])).
% 4.55/3.36 tff(5147,plain,
% 4.55/3.36 (succ(s225, s226) <=> succ(s225, s226)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5148,axiom,(succ(s225, s226)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound226')).
% 4.55/3.36 tff(5149,plain,
% 4.55/3.36 (succ(s225, s226)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 4.55/3.36 tff(5150,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5151,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s225, s226)) | trans(s225, s226))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5152,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s225, s226)) | trans(s225, s226)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5151, 5150])).
% 4.55/3.36 tff(5153,plain,
% 4.55/3.36 (trans(s225, s226)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5152, 5149, 46])).
% 4.55/3.36 tff(5154,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s225, s226)) | (~always3(s225)) | always3(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s225, s226)) | (~always3(s225)) | always3(s226))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5155,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s225, s226)) | (~always3(s225)) | always3(s226))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5156,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s225, s226)) | (~always3(s225)) | always3(s226)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5155, 5154])).
% 4.55/3.36 tff(5157,plain,
% 4.55/3.36 ((~always3(s225)) | always3(s226)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5156, 63, 5153])).
% 4.55/3.36 tff(5158,plain,
% 4.55/3.36 (~always3(s225)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5157, 5146])).
% 4.55/3.36 tff(5159,plain,
% 4.55/3.36 (succ(s224, s225) <=> succ(s224, s225)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5160,axiom,(succ(s224, s225)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound225')).
% 4.55/3.36 tff(5161,plain,
% 4.55/3.36 (succ(s224, s225)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5160, 5159])).
% 4.55/3.36 tff(5162,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5163,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s224, s225)) | trans(s224, s225))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5164,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s224, s225)) | trans(s224, s225)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 4.55/3.36 tff(5165,plain,
% 4.55/3.36 (trans(s224, s225)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5164, 5161, 46])).
% 4.55/3.36 tff(5166,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s224, s225)) | (~always3(s224)) | always3(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s224, s225)) | (~always3(s224)) | always3(s225))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5167,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s224, s225)) | (~always3(s224)) | always3(s225))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5168,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s224, s225)) | (~always3(s224)) | always3(s225)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5167, 5166])).
% 4.55/3.36 tff(5169,plain,
% 4.55/3.36 ((~always3(s224)) | always3(s225)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5168, 63, 5165])).
% 4.55/3.36 tff(5170,plain,
% 4.55/3.36 (~always3(s224)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5169, 5158])).
% 4.55/3.36 tff(5171,plain,
% 4.55/3.36 (succ(s223, s224) <=> succ(s223, s224)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5172,axiom,(succ(s223, s224)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound224')).
% 4.55/3.36 tff(5173,plain,
% 4.55/3.36 (succ(s223, s224)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5172, 5171])).
% 4.55/3.36 tff(5174,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5175,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s223, s224)) | trans(s223, s224))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5176,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s223, s224)) | trans(s223, s224)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5175, 5174])).
% 4.55/3.36 tff(5177,plain,
% 4.55/3.36 (trans(s223, s224)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5176, 5173, 46])).
% 4.55/3.36 tff(5178,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s223, s224)) | (~always3(s223)) | always3(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s223, s224)) | (~always3(s223)) | always3(s224))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5179,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s223, s224)) | (~always3(s223)) | always3(s224))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5180,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s223, s224)) | (~always3(s223)) | always3(s224)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5179, 5178])).
% 4.55/3.36 tff(5181,plain,
% 4.55/3.36 ((~always3(s223)) | always3(s224)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5180, 63, 5177])).
% 4.55/3.36 tff(5182,plain,
% 4.55/3.36 (~always3(s223)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5181, 5170])).
% 4.55/3.36 tff(5183,plain,
% 4.55/3.36 (succ(s222, s223) <=> succ(s222, s223)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5184,axiom,(succ(s222, s223)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound223')).
% 4.55/3.36 tff(5185,plain,
% 4.55/3.36 (succ(s222, s223)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 4.55/3.36 tff(5186,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5187,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s222, s223)) | trans(s222, s223))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5188,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s222, s223)) | trans(s222, s223)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5187, 5186])).
% 4.55/3.36 tff(5189,plain,
% 4.55/3.36 (trans(s222, s223)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5188, 5185, 46])).
% 4.55/3.36 tff(5190,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s222, s223)) | (~always3(s222)) | always3(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s222, s223)) | (~always3(s222)) | always3(s223))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5191,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s222, s223)) | (~always3(s222)) | always3(s223))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5192,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s222, s223)) | (~always3(s222)) | always3(s223)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5191, 5190])).
% 4.55/3.36 tff(5193,plain,
% 4.55/3.36 ((~always3(s222)) | always3(s223)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5192, 63, 5189])).
% 4.55/3.36 tff(5194,plain,
% 4.55/3.36 (~always3(s222)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5193, 5182])).
% 4.55/3.36 tff(5195,plain,
% 4.55/3.36 (succ(s221, s222) <=> succ(s221, s222)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5196,axiom,(succ(s221, s222)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound222')).
% 4.55/3.36 tff(5197,plain,
% 4.55/3.36 (succ(s221, s222)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5196, 5195])).
% 4.55/3.36 tff(5198,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5199,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s221, s222)) | trans(s221, s222))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5200,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s221, s222)) | trans(s221, s222)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5199, 5198])).
% 4.55/3.36 tff(5201,plain,
% 4.55/3.36 (trans(s221, s222)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5200, 5197, 46])).
% 4.55/3.36 tff(5202,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s221, s222)) | (~always3(s221)) | always3(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s221, s222)) | (~always3(s221)) | always3(s222))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5203,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s221, s222)) | (~always3(s221)) | always3(s222))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5204,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s221, s222)) | (~always3(s221)) | always3(s222)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5203, 5202])).
% 4.55/3.36 tff(5205,plain,
% 4.55/3.36 ((~always3(s221)) | always3(s222)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5204, 63, 5201])).
% 4.55/3.36 tff(5206,plain,
% 4.55/3.36 (~always3(s221)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5205, 5194])).
% 4.55/3.36 tff(5207,plain,
% 4.55/3.36 (succ(s220, s221) <=> succ(s220, s221)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5208,axiom,(succ(s220, s221)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound221')).
% 4.55/3.36 tff(5209,plain,
% 4.55/3.36 (succ(s220, s221)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5208, 5207])).
% 4.55/3.36 tff(5210,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5211,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s220, s221)) | trans(s220, s221))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5212,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s220, s221)) | trans(s220, s221)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 4.55/3.36 tff(5213,plain,
% 4.55/3.36 (trans(s220, s221)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5212, 5209, 46])).
% 4.55/3.36 tff(5214,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s220, s221)) | (~always3(s220)) | always3(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s220, s221)) | (~always3(s220)) | always3(s221))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5215,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s220, s221)) | (~always3(s220)) | always3(s221))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5216,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s220, s221)) | (~always3(s220)) | always3(s221)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 4.55/3.36 tff(5217,plain,
% 4.55/3.36 ((~always3(s220)) | always3(s221)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5216, 63, 5213])).
% 4.55/3.36 tff(5218,plain,
% 4.55/3.36 (~always3(s220)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5217, 5206])).
% 4.55/3.36 tff(5219,plain,
% 4.55/3.36 (succ(s219, s220) <=> succ(s219, s220)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5220,axiom,(succ(s219, s220)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound220')).
% 4.55/3.36 tff(5221,plain,
% 4.55/3.36 (succ(s219, s220)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5220, 5219])).
% 4.55/3.36 tff(5222,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5223,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s219, s220)) | trans(s219, s220))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5224,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s219, s220)) | trans(s219, s220)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5223, 5222])).
% 4.55/3.36 tff(5225,plain,
% 4.55/3.36 (trans(s219, s220)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5224, 5221, 46])).
% 4.55/3.36 tff(5226,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s219, s220)) | (~always3(s219)) | always3(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s219, s220)) | (~always3(s219)) | always3(s220))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5227,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s219, s220)) | (~always3(s219)) | always3(s220))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5228,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s219, s220)) | (~always3(s219)) | always3(s220)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 4.55/3.36 tff(5229,plain,
% 4.55/3.36 ((~always3(s219)) | always3(s220)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5228, 63, 5225])).
% 4.55/3.36 tff(5230,plain,
% 4.55/3.36 (~always3(s219)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5229, 5218])).
% 4.55/3.36 tff(5231,plain,
% 4.55/3.36 (succ(s218, s219) <=> succ(s218, s219)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5232,axiom,(succ(s218, s219)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound219')).
% 4.55/3.36 tff(5233,plain,
% 4.55/3.36 (succ(s218, s219)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 4.55/3.36 tff(5234,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5235,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s218, s219)) | trans(s218, s219))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5236,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s218, s219)) | trans(s218, s219)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 4.55/3.36 tff(5237,plain,
% 4.55/3.36 (trans(s218, s219)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5236, 5233, 46])).
% 4.55/3.36 tff(5238,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s218, s219)) | (~always3(s218)) | always3(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s218, s219)) | (~always3(s218)) | always3(s219))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5239,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s218, s219)) | (~always3(s218)) | always3(s219))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5240,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s218, s219)) | (~always3(s218)) | always3(s219)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5239, 5238])).
% 4.55/3.36 tff(5241,plain,
% 4.55/3.36 ((~always3(s218)) | always3(s219)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5240, 63, 5237])).
% 4.55/3.36 tff(5242,plain,
% 4.55/3.36 (~always3(s218)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5241, 5230])).
% 4.55/3.36 tff(5243,plain,
% 4.55/3.36 (succ(s217, s218) <=> succ(s217, s218)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5244,axiom,(succ(s217, s218)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound218')).
% 4.55/3.36 tff(5245,plain,
% 4.55/3.36 (succ(s217, s218)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 4.55/3.36 tff(5246,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5247,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s217, s218)) | trans(s217, s218))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5248,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s217, s218)) | trans(s217, s218)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5247, 5246])).
% 4.55/3.36 tff(5249,plain,
% 4.55/3.36 (trans(s217, s218)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5248, 5245, 46])).
% 4.55/3.36 tff(5250,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s217, s218)) | (~always3(s217)) | always3(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s217, s218)) | (~always3(s217)) | always3(s218))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5251,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s217, s218)) | (~always3(s217)) | always3(s218))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5252,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s217, s218)) | (~always3(s217)) | always3(s218)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5251, 5250])).
% 4.55/3.36 tff(5253,plain,
% 4.55/3.36 ((~always3(s217)) | always3(s218)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5252, 63, 5249])).
% 4.55/3.36 tff(5254,plain,
% 4.55/3.36 (~always3(s217)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5253, 5242])).
% 4.55/3.36 tff(5255,plain,
% 4.55/3.36 (succ(s216, s217) <=> succ(s216, s217)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5256,axiom,(succ(s216, s217)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound217')).
% 4.55/3.36 tff(5257,plain,
% 4.55/3.36 (succ(s216, s217)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5256, 5255])).
% 4.55/3.36 tff(5258,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5259,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s216, s217)) | trans(s216, s217))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5260,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s216, s217)) | trans(s216, s217)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5259, 5258])).
% 4.55/3.36 tff(5261,plain,
% 4.55/3.36 (trans(s216, s217)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5260, 5257, 46])).
% 4.55/3.36 tff(5262,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s216, s217)) | (~always3(s216)) | always3(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s216, s217)) | (~always3(s216)) | always3(s217))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5263,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s216, s217)) | (~always3(s216)) | always3(s217))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5264,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s216, s217)) | (~always3(s216)) | always3(s217)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5263, 5262])).
% 4.55/3.36 tff(5265,plain,
% 4.55/3.36 ((~always3(s216)) | always3(s217)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5264, 63, 5261])).
% 4.55/3.36 tff(5266,plain,
% 4.55/3.36 (~always3(s216)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5265, 5254])).
% 4.55/3.36 tff(5267,plain,
% 4.55/3.36 (succ(s215, s216) <=> succ(s215, s216)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5268,axiom,(succ(s215, s216)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound216')).
% 4.55/3.36 tff(5269,plain,
% 4.55/3.36 (succ(s215, s216)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5268, 5267])).
% 4.55/3.36 tff(5270,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5271,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s215, s216)) | trans(s215, s216))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5272,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s215, s216)) | trans(s215, s216)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 4.55/3.36 tff(5273,plain,
% 4.55/3.36 (trans(s215, s216)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5272, 5269, 46])).
% 4.55/3.36 tff(5274,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s215, s216)) | (~always3(s215)) | always3(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s215, s216)) | (~always3(s215)) | always3(s216))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5275,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s215, s216)) | (~always3(s215)) | always3(s216))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5276,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s215, s216)) | (~always3(s215)) | always3(s216)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5275, 5274])).
% 4.55/3.36 tff(5277,plain,
% 4.55/3.36 ((~always3(s215)) | always3(s216)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5276, 63, 5273])).
% 4.55/3.36 tff(5278,plain,
% 4.55/3.36 (~always3(s215)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5277, 5266])).
% 4.55/3.36 tff(5279,plain,
% 4.55/3.36 (succ(s214, s215) <=> succ(s214, s215)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5280,axiom,(succ(s214, s215)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound215')).
% 4.55/3.36 tff(5281,plain,
% 4.55/3.36 (succ(s214, s215)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5280, 5279])).
% 4.55/3.36 tff(5282,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5283,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s214, s215)) | trans(s214, s215))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5284,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s214, s215)) | trans(s214, s215)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5283, 5282])).
% 4.55/3.36 tff(5285,plain,
% 4.55/3.36 (trans(s214, s215)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5284, 5281, 46])).
% 4.55/3.36 tff(5286,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s214, s215)) | (~always3(s214)) | always3(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s214, s215)) | (~always3(s214)) | always3(s215))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5287,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s214, s215)) | (~always3(s214)) | always3(s215))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5288,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s214, s215)) | (~always3(s214)) | always3(s215)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5287, 5286])).
% 4.55/3.36 tff(5289,plain,
% 4.55/3.36 ((~always3(s214)) | always3(s215)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5288, 63, 5285])).
% 4.55/3.36 tff(5290,plain,
% 4.55/3.36 (~always3(s214)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5289, 5278])).
% 4.55/3.36 tff(5291,plain,
% 4.55/3.36 (succ(s213, s214) <=> succ(s213, s214)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5292,axiom,(succ(s213, s214)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound214')).
% 4.55/3.36 tff(5293,plain,
% 4.55/3.36 (succ(s213, s214)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5292, 5291])).
% 4.55/3.36 tff(5294,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5295,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s213, s214)) | trans(s213, s214))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5296,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s213, s214)) | trans(s213, s214)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 4.55/3.36 tff(5297,plain,
% 4.55/3.36 (trans(s213, s214)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5296, 5293, 46])).
% 4.55/3.36 tff(5298,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s213, s214)) | (~always3(s213)) | always3(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s213, s214)) | (~always3(s213)) | always3(s214))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5299,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s213, s214)) | (~always3(s213)) | always3(s214))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5300,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s213, s214)) | (~always3(s213)) | always3(s214)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5299, 5298])).
% 4.55/3.36 tff(5301,plain,
% 4.55/3.36 ((~always3(s213)) | always3(s214)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5300, 63, 5297])).
% 4.55/3.36 tff(5302,plain,
% 4.55/3.36 (~always3(s213)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5301, 5290])).
% 4.55/3.36 tff(5303,plain,
% 4.55/3.36 (succ(s212, s213) <=> succ(s212, s213)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5304,axiom,(succ(s212, s213)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound213')).
% 4.55/3.36 tff(5305,plain,
% 4.55/3.36 (succ(s212, s213)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5304, 5303])).
% 4.55/3.36 tff(5306,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5307,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s212, s213)) | trans(s212, s213))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5308,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s212, s213)) | trans(s212, s213)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5307, 5306])).
% 4.55/3.36 tff(5309,plain,
% 4.55/3.36 (trans(s212, s213)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5308, 5305, 46])).
% 4.55/3.36 tff(5310,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s212, s213)) | (~always3(s212)) | always3(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s212, s213)) | (~always3(s212)) | always3(s213))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5311,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s212, s213)) | (~always3(s212)) | always3(s213))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5312,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s212, s213)) | (~always3(s212)) | always3(s213)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5311, 5310])).
% 4.55/3.36 tff(5313,plain,
% 4.55/3.36 ((~always3(s212)) | always3(s213)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5312, 63, 5309])).
% 4.55/3.36 tff(5314,plain,
% 4.55/3.36 (~always3(s212)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5313, 5302])).
% 4.55/3.36 tff(5315,plain,
% 4.55/3.36 (succ(s211, s212) <=> succ(s211, s212)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5316,axiom,(succ(s211, s212)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound212')).
% 4.55/3.36 tff(5317,plain,
% 4.55/3.36 (succ(s211, s212)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5316, 5315])).
% 4.55/3.36 tff(5318,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5319,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s211, s212)) | trans(s211, s212))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5320,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s211, s212)) | trans(s211, s212)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5319, 5318])).
% 4.55/3.36 tff(5321,plain,
% 4.55/3.36 (trans(s211, s212)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5320, 5317, 46])).
% 4.55/3.36 tff(5322,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s211, s212)) | (~always3(s211)) | always3(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s211, s212)) | (~always3(s211)) | always3(s212))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5323,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s211, s212)) | (~always3(s211)) | always3(s212))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5324,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s211, s212)) | (~always3(s211)) | always3(s212)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5323, 5322])).
% 4.55/3.36 tff(5325,plain,
% 4.55/3.36 ((~always3(s211)) | always3(s212)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5324, 63, 5321])).
% 4.55/3.36 tff(5326,plain,
% 4.55/3.36 (~always3(s211)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5325, 5314])).
% 4.55/3.36 tff(5327,plain,
% 4.55/3.36 (succ(s210, s211) <=> succ(s210, s211)),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5328,axiom,(succ(s210, s211)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound211')).
% 4.55/3.36 tff(5329,plain,
% 4.55/3.36 (succ(s210, s211)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5328, 5327])).
% 4.55/3.36 tff(5330,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211))),
% 4.55/3.36 inference(rewrite,[status(thm)],[])).
% 4.55/3.36 tff(5331,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s210, s211)) | trans(s210, s211))),
% 4.55/3.36 inference(quant_inst,[status(thm)],[])).
% 4.55/3.36 tff(5332,plain,
% 4.55/3.36 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s210, s211)) | trans(s210, s211)),
% 4.55/3.36 inference(modus_ponens,[status(thm)],[5331, 5330])).
% 4.55/3.36 tff(5333,plain,
% 4.55/3.36 (trans(s210, s211)),
% 4.55/3.36 inference(unit_resolution,[status(thm)],[5332, 5329, 46])).
% 4.55/3.36 tff(5334,plain,
% 4.55/3.36 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s210, s211)) | (~always3(s210)) | always3(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s210, s211)) | (~always3(s210)) | always3(s211))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5335,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s210, s211)) | (~always3(s210)) | always3(s211))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5336,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s210, s211)) | (~always3(s210)) | always3(s211)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 4.55/3.37 tff(5337,plain,
% 4.55/3.37 ((~always3(s210)) | always3(s211)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5336, 63, 5333])).
% 4.55/3.37 tff(5338,plain,
% 4.55/3.37 (~always3(s210)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5337, 5326])).
% 4.55/3.37 tff(5339,plain,
% 4.55/3.37 (succ(s209, s210) <=> succ(s209, s210)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5340,axiom,(succ(s209, s210)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound210')).
% 4.55/3.37 tff(5341,plain,
% 4.55/3.37 (succ(s209, s210)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5340, 5339])).
% 4.55/3.37 tff(5342,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5343,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s209, s210)) | trans(s209, s210))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5344,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s209, s210)) | trans(s209, s210)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 4.55/3.37 tff(5345,plain,
% 4.55/3.37 (trans(s209, s210)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5344, 5341, 46])).
% 4.55/3.37 tff(5346,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s209, s210)) | (~always3(s209)) | always3(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s209, s210)) | (~always3(s209)) | always3(s210))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5347,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s209, s210)) | (~always3(s209)) | always3(s210))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5348,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s209, s210)) | (~always3(s209)) | always3(s210)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5347, 5346])).
% 4.55/3.37 tff(5349,plain,
% 4.55/3.37 ((~always3(s209)) | always3(s210)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5348, 63, 5345])).
% 4.55/3.37 tff(5350,plain,
% 4.55/3.37 (~always3(s209)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5349, 5338])).
% 4.55/3.37 tff(5351,plain,
% 4.55/3.37 (succ(s208, s209) <=> succ(s208, s209)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5352,axiom,(succ(s208, s209)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound209')).
% 4.55/3.37 tff(5353,plain,
% 4.55/3.37 (succ(s208, s209)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 4.55/3.37 tff(5354,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5355,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s208, s209)) | trans(s208, s209))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5356,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s208, s209)) | trans(s208, s209)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5355, 5354])).
% 4.55/3.37 tff(5357,plain,
% 4.55/3.37 (trans(s208, s209)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5356, 5353, 46])).
% 4.55/3.37 tff(5358,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s208, s209)) | (~always3(s208)) | always3(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s208, s209)) | (~always3(s208)) | always3(s209))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5359,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s208, s209)) | (~always3(s208)) | always3(s209))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5360,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s208, s209)) | (~always3(s208)) | always3(s209)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 4.55/3.37 tff(5361,plain,
% 4.55/3.37 ((~always3(s208)) | always3(s209)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5360, 63, 5357])).
% 4.55/3.37 tff(5362,plain,
% 4.55/3.37 (~always3(s208)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5361, 5350])).
% 4.55/3.37 tff(5363,plain,
% 4.55/3.37 (succ(s207, s208) <=> succ(s207, s208)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5364,axiom,(succ(s207, s208)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound208')).
% 4.55/3.37 tff(5365,plain,
% 4.55/3.37 (succ(s207, s208)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5364, 5363])).
% 4.55/3.37 tff(5366,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5367,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s207, s208)) | trans(s207, s208))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5368,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s207, s208)) | trans(s207, s208)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5367, 5366])).
% 4.55/3.37 tff(5369,plain,
% 4.55/3.37 (trans(s207, s208)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5368, 5365, 46])).
% 4.55/3.37 tff(5370,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s207, s208)) | (~always3(s207)) | always3(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s207, s208)) | (~always3(s207)) | always3(s208))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5371,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s207, s208)) | (~always3(s207)) | always3(s208))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5372,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s207, s208)) | (~always3(s207)) | always3(s208)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5371, 5370])).
% 4.55/3.37 tff(5373,plain,
% 4.55/3.37 ((~always3(s207)) | always3(s208)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5372, 63, 5369])).
% 4.55/3.37 tff(5374,plain,
% 4.55/3.37 (~always3(s207)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5373, 5362])).
% 4.55/3.37 tff(5375,plain,
% 4.55/3.37 (succ(s206, s207) <=> succ(s206, s207)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5376,axiom,(succ(s206, s207)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound207')).
% 4.55/3.37 tff(5377,plain,
% 4.55/3.37 (succ(s206, s207)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5376, 5375])).
% 4.55/3.37 tff(5378,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5379,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s206, s207)) | trans(s206, s207))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5380,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s206, s207)) | trans(s206, s207)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 4.55/3.37 tff(5381,plain,
% 4.55/3.37 (trans(s206, s207)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5380, 5377, 46])).
% 4.55/3.37 tff(5382,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s206, s207)) | (~always3(s206)) | always3(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s206, s207)) | (~always3(s206)) | always3(s207))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5383,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s206, s207)) | (~always3(s206)) | always3(s207))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5384,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s206, s207)) | (~always3(s206)) | always3(s207)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5383, 5382])).
% 4.55/3.37 tff(5385,plain,
% 4.55/3.37 ((~always3(s206)) | always3(s207)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5384, 63, 5381])).
% 4.55/3.37 tff(5386,plain,
% 4.55/3.37 (~always3(s206)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5385, 5374])).
% 4.55/3.37 tff(5387,plain,
% 4.55/3.37 (succ(s205, s206) <=> succ(s205, s206)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5388,axiom,(succ(s205, s206)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound206')).
% 4.55/3.37 tff(5389,plain,
% 4.55/3.37 (succ(s205, s206)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5388, 5387])).
% 4.55/3.37 tff(5390,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5391,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s205, s206)) | trans(s205, s206))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5392,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s205, s206)) | trans(s205, s206)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5391, 5390])).
% 4.55/3.37 tff(5393,plain,
% 4.55/3.37 (trans(s205, s206)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5392, 5389, 46])).
% 4.55/3.37 tff(5394,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s205, s206)) | (~always3(s205)) | always3(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s205, s206)) | (~always3(s205)) | always3(s206))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5395,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s205, s206)) | (~always3(s205)) | always3(s206))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5396,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s205, s206)) | (~always3(s205)) | always3(s206)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5395, 5394])).
% 4.55/3.37 tff(5397,plain,
% 4.55/3.37 ((~always3(s205)) | always3(s206)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5396, 63, 5393])).
% 4.55/3.37 tff(5398,plain,
% 4.55/3.37 (~always3(s205)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5397, 5386])).
% 4.55/3.37 tff(5399,plain,
% 4.55/3.37 (succ(s204, s205) <=> succ(s204, s205)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5400,axiom,(succ(s204, s205)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound205')).
% 4.55/3.37 tff(5401,plain,
% 4.55/3.37 (succ(s204, s205)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5400, 5399])).
% 4.55/3.37 tff(5402,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5403,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s204, s205)) | trans(s204, s205))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5404,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s204, s205)) | trans(s204, s205)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5403, 5402])).
% 4.55/3.37 tff(5405,plain,
% 4.55/3.37 (trans(s204, s205)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5404, 5401, 46])).
% 4.55/3.37 tff(5406,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s204, s205)) | (~always3(s204)) | always3(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s204, s205)) | (~always3(s204)) | always3(s205))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5407,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s204, s205)) | (~always3(s204)) | always3(s205))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5408,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s204, s205)) | (~always3(s204)) | always3(s205)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5407, 5406])).
% 4.55/3.37 tff(5409,plain,
% 4.55/3.37 ((~always3(s204)) | always3(s205)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5408, 63, 5405])).
% 4.55/3.37 tff(5410,plain,
% 4.55/3.37 (~always3(s204)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5409, 5398])).
% 4.55/3.37 tff(5411,plain,
% 4.55/3.37 (succ(s203, s204) <=> succ(s203, s204)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5412,axiom,(succ(s203, s204)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound204')).
% 4.55/3.37 tff(5413,plain,
% 4.55/3.37 (succ(s203, s204)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5412, 5411])).
% 4.55/3.37 tff(5414,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5415,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s203, s204)) | trans(s203, s204))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5416,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s203, s204)) | trans(s203, s204)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5415, 5414])).
% 4.55/3.37 tff(5417,plain,
% 4.55/3.37 (trans(s203, s204)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5416, 5413, 46])).
% 4.55/3.37 tff(5418,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s203, s204)) | (~always3(s203)) | always3(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s203, s204)) | (~always3(s203)) | always3(s204))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5419,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s203, s204)) | (~always3(s203)) | always3(s204))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5420,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s203, s204)) | (~always3(s203)) | always3(s204)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 4.55/3.37 tff(5421,plain,
% 4.55/3.37 ((~always3(s203)) | always3(s204)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5420, 63, 5417])).
% 4.55/3.37 tff(5422,plain,
% 4.55/3.37 (~always3(s203)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5421, 5410])).
% 4.55/3.37 tff(5423,plain,
% 4.55/3.37 (succ(s202, s203) <=> succ(s202, s203)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5424,axiom,(succ(s202, s203)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound203')).
% 4.55/3.37 tff(5425,plain,
% 4.55/3.37 (succ(s202, s203)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5424, 5423])).
% 4.55/3.37 tff(5426,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5427,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s202, s203)) | trans(s202, s203))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5428,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s202, s203)) | trans(s202, s203)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5427, 5426])).
% 4.55/3.37 tff(5429,plain,
% 4.55/3.37 (trans(s202, s203)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5428, 5425, 46])).
% 4.55/3.37 tff(5430,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s202, s203)) | (~always3(s202)) | always3(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s202, s203)) | (~always3(s202)) | always3(s203))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5431,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s202, s203)) | (~always3(s202)) | always3(s203))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5432,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s202, s203)) | (~always3(s202)) | always3(s203)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 4.55/3.37 tff(5433,plain,
% 4.55/3.37 ((~always3(s202)) | always3(s203)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5432, 63, 5429])).
% 4.55/3.37 tff(5434,plain,
% 4.55/3.37 (~always3(s202)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5433, 5422])).
% 4.55/3.37 tff(5435,plain,
% 4.55/3.37 (succ(s201, s202) <=> succ(s201, s202)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5436,axiom,(succ(s201, s202)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound202')).
% 4.55/3.37 tff(5437,plain,
% 4.55/3.37 (succ(s201, s202)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5436, 5435])).
% 4.55/3.37 tff(5438,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5439,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s201, s202)) | trans(s201, s202))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5440,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s201, s202)) | trans(s201, s202)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5439, 5438])).
% 4.55/3.37 tff(5441,plain,
% 4.55/3.37 (trans(s201, s202)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5440, 5437, 46])).
% 4.55/3.37 tff(5442,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s201, s202)) | (~always3(s201)) | always3(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s201, s202)) | (~always3(s201)) | always3(s202))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5443,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s201, s202)) | (~always3(s201)) | always3(s202))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5444,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s201, s202)) | (~always3(s201)) | always3(s202)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5443, 5442])).
% 4.55/3.37 tff(5445,plain,
% 4.55/3.37 ((~always3(s201)) | always3(s202)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5444, 63, 5441])).
% 4.55/3.37 tff(5446,plain,
% 4.55/3.37 (~always3(s201)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5445, 5434])).
% 4.55/3.37 tff(5447,plain,
% 4.55/3.37 (succ(s200, s201) <=> succ(s200, s201)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5448,axiom,(succ(s200, s201)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound201')).
% 4.55/3.37 tff(5449,plain,
% 4.55/3.37 (succ(s200, s201)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 4.55/3.37 tff(5450,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5451,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s200, s201)) | trans(s200, s201))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5452,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s200, s201)) | trans(s200, s201)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 4.55/3.37 tff(5453,plain,
% 4.55/3.37 (trans(s200, s201)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5452, 5449, 46])).
% 4.55/3.37 tff(5454,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s200, s201)) | (~always3(s200)) | always3(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s200, s201)) | (~always3(s200)) | always3(s201))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5455,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s200, s201)) | (~always3(s200)) | always3(s201))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5456,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s200, s201)) | (~always3(s200)) | always3(s201)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5455, 5454])).
% 4.55/3.37 tff(5457,plain,
% 4.55/3.37 ((~always3(s200)) | always3(s201)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5456, 63, 5453])).
% 4.55/3.37 tff(5458,plain,
% 4.55/3.37 (~always3(s200)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5457, 5446])).
% 4.55/3.37 tff(5459,plain,
% 4.55/3.37 (succ(s199, s200) <=> succ(s199, s200)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5460,axiom,(succ(s199, s200)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound200')).
% 4.55/3.37 tff(5461,plain,
% 4.55/3.37 (succ(s199, s200)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 4.55/3.37 tff(5462,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5463,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s199, s200)) | trans(s199, s200))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5464,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s199, s200)) | trans(s199, s200)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5463, 5462])).
% 4.55/3.37 tff(5465,plain,
% 4.55/3.37 (trans(s199, s200)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5464, 5461, 46])).
% 4.55/3.37 tff(5466,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s200)) | (~always3(s199)) | always3(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s199, s200)) | (~always3(s199)) | always3(s200))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5467,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s199, s200)) | (~always3(s199)) | always3(s200))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5468,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s199, s200)) | (~always3(s199)) | always3(s200)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5467, 5466])).
% 4.55/3.37 tff(5469,plain,
% 4.55/3.37 ((~always3(s199)) | always3(s200)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5468, 63, 5465])).
% 4.55/3.37 tff(5470,plain,
% 4.55/3.37 (~always3(s199)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5469, 5458])).
% 4.55/3.37 tff(5471,plain,
% 4.55/3.37 (succ(s198, s199) <=> succ(s198, s199)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5472,axiom,(succ(s198, s199)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound199')).
% 4.55/3.37 tff(5473,plain,
% 4.55/3.37 (succ(s198, s199)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5472, 5471])).
% 4.55/3.37 tff(5474,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5475,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s198, s199)) | trans(s198, s199))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5476,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s198, s199)) | trans(s198, s199)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5475, 5474])).
% 4.55/3.37 tff(5477,plain,
% 4.55/3.37 (trans(s198, s199)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5476, 5473, 46])).
% 4.55/3.37 tff(5478,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s198, s199)) | (~always3(s198)) | always3(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s198, s199)) | (~always3(s198)) | always3(s199))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5479,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s198, s199)) | (~always3(s198)) | always3(s199))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5480,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s198, s199)) | (~always3(s198)) | always3(s199)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 4.55/3.37 tff(5481,plain,
% 4.55/3.37 ((~always3(s198)) | always3(s199)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5480, 63, 5477])).
% 4.55/3.37 tff(5482,plain,
% 4.55/3.37 (~always3(s198)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5481, 5470])).
% 4.55/3.37 tff(5483,plain,
% 4.55/3.37 (succ(s197, s198) <=> succ(s197, s198)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5484,axiom,(succ(s197, s198)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound198')).
% 4.55/3.37 tff(5485,plain,
% 4.55/3.37 (succ(s197, s198)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5484, 5483])).
% 4.55/3.37 tff(5486,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5487,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s197, s198)) | trans(s197, s198))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5488,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s197, s198)) | trans(s197, s198)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 4.55/3.37 tff(5489,plain,
% 4.55/3.37 (trans(s197, s198)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5488, 5485, 46])).
% 4.55/3.37 tff(5490,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s197, s198)) | (~always3(s197)) | always3(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s197, s198)) | (~always3(s197)) | always3(s198))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5491,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s197, s198)) | (~always3(s197)) | always3(s198))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5492,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s197, s198)) | (~always3(s197)) | always3(s198)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5491, 5490])).
% 4.55/3.37 tff(5493,plain,
% 4.55/3.37 ((~always3(s197)) | always3(s198)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5492, 63, 5489])).
% 4.55/3.37 tff(5494,plain,
% 4.55/3.37 (~always3(s197)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5493, 5482])).
% 4.55/3.37 tff(5495,plain,
% 4.55/3.37 (succ(s196, s197) <=> succ(s196, s197)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5496,axiom,(succ(s196, s197)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound197')).
% 4.55/3.37 tff(5497,plain,
% 4.55/3.37 (succ(s196, s197)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5496, 5495])).
% 4.55/3.37 tff(5498,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5499,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s196, s197)) | trans(s196, s197))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5500,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s196, s197)) | trans(s196, s197)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5499, 5498])).
% 4.55/3.37 tff(5501,plain,
% 4.55/3.37 (trans(s196, s197)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5500, 5497, 46])).
% 4.55/3.37 tff(5502,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s196, s197)) | (~always3(s196)) | always3(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s196, s197)) | (~always3(s196)) | always3(s197))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5503,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s196, s197)) | (~always3(s196)) | always3(s197))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5504,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s196, s197)) | (~always3(s196)) | always3(s197)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5503, 5502])).
% 4.55/3.37 tff(5505,plain,
% 4.55/3.37 ((~always3(s196)) | always3(s197)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5504, 63, 5501])).
% 4.55/3.37 tff(5506,plain,
% 4.55/3.37 (~always3(s196)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5505, 5494])).
% 4.55/3.37 tff(5507,plain,
% 4.55/3.37 (succ(s195, s196) <=> succ(s195, s196)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5508,axiom,(succ(s195, s196)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound196')).
% 4.55/3.37 tff(5509,plain,
% 4.55/3.37 (succ(s195, s196)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5508, 5507])).
% 4.55/3.37 tff(5510,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5511,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s195, s196)) | trans(s195, s196))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5512,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s195, s196)) | trans(s195, s196)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5511, 5510])).
% 4.55/3.37 tff(5513,plain,
% 4.55/3.37 (trans(s195, s196)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5512, 5509, 46])).
% 4.55/3.37 tff(5514,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s195, s196)) | (~always3(s195)) | always3(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s195, s196)) | (~always3(s195)) | always3(s196))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5515,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s195, s196)) | (~always3(s195)) | always3(s196))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5516,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s195, s196)) | (~always3(s195)) | always3(s196)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5515, 5514])).
% 4.55/3.37 tff(5517,plain,
% 4.55/3.37 ((~always3(s195)) | always3(s196)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5516, 63, 5513])).
% 4.55/3.37 tff(5518,plain,
% 4.55/3.37 (~always3(s195)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5517, 5506])).
% 4.55/3.37 tff(5519,plain,
% 4.55/3.37 (succ(s194, s195) <=> succ(s194, s195)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5520,axiom,(succ(s194, s195)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound195')).
% 4.55/3.37 tff(5521,plain,
% 4.55/3.37 (succ(s194, s195)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5520, 5519])).
% 4.55/3.37 tff(5522,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5523,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s194, s195)) | trans(s194, s195))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5524,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s194, s195)) | trans(s194, s195)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 4.55/3.37 tff(5525,plain,
% 4.55/3.37 (trans(s194, s195)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5524, 5521, 46])).
% 4.55/3.37 tff(5526,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s194, s195)) | (~always3(s194)) | always3(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s194, s195)) | (~always3(s194)) | always3(s195))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5527,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s194, s195)) | (~always3(s194)) | always3(s195))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5528,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s194, s195)) | (~always3(s194)) | always3(s195)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5527, 5526])).
% 4.55/3.37 tff(5529,plain,
% 4.55/3.37 ((~always3(s194)) | always3(s195)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5528, 63, 5525])).
% 4.55/3.37 tff(5530,plain,
% 4.55/3.37 (~always3(s194)),
% 4.55/3.37 inference(unit_resolution,[status(thm)],[5529, 5518])).
% 4.55/3.37 tff(5531,plain,
% 4.55/3.37 (succ(s193, s194) <=> succ(s193, s194)),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5532,axiom,(succ(s193, s194)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound194')).
% 4.55/3.37 tff(5533,plain,
% 4.55/3.37 (succ(s193, s194)),
% 4.55/3.37 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 4.55/3.37 tff(5534,plain,
% 4.55/3.37 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194))),
% 4.55/3.37 inference(rewrite,[status(thm)],[])).
% 4.55/3.37 tff(5535,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s193, s194)) | trans(s193, s194))),
% 4.55/3.37 inference(quant_inst,[status(thm)],[])).
% 4.55/3.37 tff(5536,plain,
% 4.55/3.37 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s193, s194)) | trans(s193, s194)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5535, 5534])).
% 4.55/3.38 tff(5537,plain,
% 4.55/3.38 (trans(s193, s194)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5536, 5533, 46])).
% 4.55/3.38 tff(5538,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s193, s194)) | (~always3(s193)) | always3(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s193, s194)) | (~always3(s193)) | always3(s194))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5539,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s193, s194)) | (~always3(s193)) | always3(s194))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5540,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s193, s194)) | (~always3(s193)) | always3(s194)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 4.55/3.38 tff(5541,plain,
% 4.55/3.38 ((~always3(s193)) | always3(s194)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5540, 63, 5537])).
% 4.55/3.38 tff(5542,plain,
% 4.55/3.38 (~always3(s193)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5541, 5530])).
% 4.55/3.38 tff(5543,plain,
% 4.55/3.38 (succ(s192, s193) <=> succ(s192, s193)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5544,axiom,(succ(s192, s193)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound193')).
% 4.55/3.38 tff(5545,plain,
% 4.55/3.38 (succ(s192, s193)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5544, 5543])).
% 4.55/3.38 tff(5546,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5547,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s192, s193)) | trans(s192, s193))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5548,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s192, s193)) | trans(s192, s193)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5547, 5546])).
% 4.55/3.38 tff(5549,plain,
% 4.55/3.38 (trans(s192, s193)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5548, 5545, 46])).
% 4.55/3.38 tff(5550,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s192, s193)) | (~always3(s192)) | always3(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s192, s193)) | (~always3(s192)) | always3(s193))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5551,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s192, s193)) | (~always3(s192)) | always3(s193))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5552,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s192, s193)) | (~always3(s192)) | always3(s193)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5551, 5550])).
% 4.55/3.38 tff(5553,plain,
% 4.55/3.38 ((~always3(s192)) | always3(s193)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5552, 63, 5549])).
% 4.55/3.38 tff(5554,plain,
% 4.55/3.38 (~always3(s192)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5553, 5542])).
% 4.55/3.38 tff(5555,plain,
% 4.55/3.38 (succ(s191, s192) <=> succ(s191, s192)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5556,axiom,(succ(s191, s192)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound192')).
% 4.55/3.38 tff(5557,plain,
% 4.55/3.38 (succ(s191, s192)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5556, 5555])).
% 4.55/3.38 tff(5558,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5559,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s191, s192)) | trans(s191, s192))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5560,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s191, s192)) | trans(s191, s192)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5559, 5558])).
% 4.55/3.38 tff(5561,plain,
% 4.55/3.38 (trans(s191, s192)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5560, 5557, 46])).
% 4.55/3.38 tff(5562,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s191, s192)) | (~always3(s191)) | always3(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s191, s192)) | (~always3(s191)) | always3(s192))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5563,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s191, s192)) | (~always3(s191)) | always3(s192))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5564,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s191, s192)) | (~always3(s191)) | always3(s192)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5563, 5562])).
% 4.55/3.38 tff(5565,plain,
% 4.55/3.38 ((~always3(s191)) | always3(s192)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5564, 63, 5561])).
% 4.55/3.38 tff(5566,plain,
% 4.55/3.38 (~always3(s191)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5565, 5554])).
% 4.55/3.38 tff(5567,plain,
% 4.55/3.38 (succ(s190, s191) <=> succ(s190, s191)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5568,axiom,(succ(s190, s191)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound191')).
% 4.55/3.38 tff(5569,plain,
% 4.55/3.38 (succ(s190, s191)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 4.55/3.38 tff(5570,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5571,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s190, s191)) | trans(s190, s191))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5572,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s190, s191)) | trans(s190, s191)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 4.55/3.38 tff(5573,plain,
% 4.55/3.38 (trans(s190, s191)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5572, 5569, 46])).
% 4.55/3.38 tff(5574,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s190, s191)) | (~always3(s190)) | always3(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s190, s191)) | (~always3(s190)) | always3(s191))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5575,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s190, s191)) | (~always3(s190)) | always3(s191))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5576,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s190, s191)) | (~always3(s190)) | always3(s191)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 4.55/3.38 tff(5577,plain,
% 4.55/3.38 ((~always3(s190)) | always3(s191)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5576, 63, 5573])).
% 4.55/3.38 tff(5578,plain,
% 4.55/3.38 (~always3(s190)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5577, 5566])).
% 4.55/3.38 tff(5579,plain,
% 4.55/3.38 (succ(s189, s190) <=> succ(s189, s190)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5580,axiom,(succ(s189, s190)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound190')).
% 4.55/3.38 tff(5581,plain,
% 4.55/3.38 (succ(s189, s190)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5580, 5579])).
% 4.55/3.38 tff(5582,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5583,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s189, s190)) | trans(s189, s190))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5584,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s189, s190)) | trans(s189, s190)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 4.55/3.38 tff(5585,plain,
% 4.55/3.38 (trans(s189, s190)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5584, 5581, 46])).
% 4.55/3.38 tff(5586,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s189, s190)) | (~always3(s189)) | always3(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s189, s190)) | (~always3(s189)) | always3(s190))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5587,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s189, s190)) | (~always3(s189)) | always3(s190))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5588,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s189, s190)) | (~always3(s189)) | always3(s190)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 4.55/3.38 tff(5589,plain,
% 4.55/3.38 ((~always3(s189)) | always3(s190)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5588, 63, 5585])).
% 4.55/3.38 tff(5590,plain,
% 4.55/3.38 (~always3(s189)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5589, 5578])).
% 4.55/3.38 tff(5591,plain,
% 4.55/3.38 (succ(s188, s189) <=> succ(s188, s189)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5592,axiom,(succ(s188, s189)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound189')).
% 4.55/3.38 tff(5593,plain,
% 4.55/3.38 (succ(s188, s189)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5592, 5591])).
% 4.55/3.38 tff(5594,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5595,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s188, s189)) | trans(s188, s189))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5596,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s188, s189)) | trans(s188, s189)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 4.55/3.38 tff(5597,plain,
% 4.55/3.38 (trans(s188, s189)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5596, 5593, 46])).
% 4.55/3.38 tff(5598,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s188, s189)) | (~always3(s188)) | always3(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s188, s189)) | (~always3(s188)) | always3(s189))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5599,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s188, s189)) | (~always3(s188)) | always3(s189))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5600,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s188, s189)) | (~always3(s188)) | always3(s189)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 4.55/3.38 tff(5601,plain,
% 4.55/3.38 ((~always3(s188)) | always3(s189)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5600, 63, 5597])).
% 4.55/3.38 tff(5602,plain,
% 4.55/3.38 (~always3(s188)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5601, 5590])).
% 4.55/3.38 tff(5603,plain,
% 4.55/3.38 (succ(s187, s188) <=> succ(s187, s188)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5604,axiom,(succ(s187, s188)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound188')).
% 4.55/3.38 tff(5605,plain,
% 4.55/3.38 (succ(s187, s188)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5604, 5603])).
% 4.55/3.38 tff(5606,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5607,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s187, s188)) | trans(s187, s188))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5608,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s187, s188)) | trans(s187, s188)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5607, 5606])).
% 4.55/3.38 tff(5609,plain,
% 4.55/3.38 (trans(s187, s188)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5608, 5605, 46])).
% 4.55/3.38 tff(5610,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s187, s188)) | (~always3(s187)) | always3(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s187, s188)) | (~always3(s187)) | always3(s188))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5611,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s187, s188)) | (~always3(s187)) | always3(s188))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5612,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s187, s188)) | (~always3(s187)) | always3(s188)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5611, 5610])).
% 4.55/3.38 tff(5613,plain,
% 4.55/3.38 ((~always3(s187)) | always3(s188)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5612, 63, 5609])).
% 4.55/3.38 tff(5614,plain,
% 4.55/3.38 (~always3(s187)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5613, 5602])).
% 4.55/3.38 tff(5615,plain,
% 4.55/3.38 (succ(s186, s187) <=> succ(s186, s187)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5616,axiom,(succ(s186, s187)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound187')).
% 4.55/3.38 tff(5617,plain,
% 4.55/3.38 (succ(s186, s187)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5616, 5615])).
% 4.55/3.38 tff(5618,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5619,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s186, s187)) | trans(s186, s187))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5620,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s186, s187)) | trans(s186, s187)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5619, 5618])).
% 4.55/3.38 tff(5621,plain,
% 4.55/3.38 (trans(s186, s187)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5620, 5617, 46])).
% 4.55/3.38 tff(5622,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s186, s187)) | (~always3(s186)) | always3(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s186, s187)) | (~always3(s186)) | always3(s187))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5623,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s186, s187)) | (~always3(s186)) | always3(s187))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5624,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s186, s187)) | (~always3(s186)) | always3(s187)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5623, 5622])).
% 4.55/3.38 tff(5625,plain,
% 4.55/3.38 ((~always3(s186)) | always3(s187)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5624, 63, 5621])).
% 4.55/3.38 tff(5626,plain,
% 4.55/3.38 (~always3(s186)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5625, 5614])).
% 4.55/3.38 tff(5627,plain,
% 4.55/3.38 (succ(s185, s186) <=> succ(s185, s186)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5628,axiom,(succ(s185, s186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound186')).
% 4.55/3.38 tff(5629,plain,
% 4.55/3.38 (succ(s185, s186)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5628, 5627])).
% 4.55/3.38 tff(5630,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5631,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s185, s186)) | trans(s185, s186))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5632,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s185, s186)) | trans(s185, s186)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5631, 5630])).
% 4.55/3.38 tff(5633,plain,
% 4.55/3.38 (trans(s185, s186)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5632, 5629, 46])).
% 4.55/3.38 tff(5634,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s185, s186)) | (~always3(s185)) | always3(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s185, s186)) | (~always3(s185)) | always3(s186))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5635,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s185, s186)) | (~always3(s185)) | always3(s186))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5636,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s185, s186)) | (~always3(s185)) | always3(s186)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5635, 5634])).
% 4.55/3.38 tff(5637,plain,
% 4.55/3.38 ((~always3(s185)) | always3(s186)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5636, 63, 5633])).
% 4.55/3.38 tff(5638,plain,
% 4.55/3.38 (~always3(s185)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5637, 5626])).
% 4.55/3.38 tff(5639,plain,
% 4.55/3.38 (succ(s184, s185) <=> succ(s184, s185)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5640,axiom,(succ(s184, s185)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound185')).
% 4.55/3.38 tff(5641,plain,
% 4.55/3.38 (succ(s184, s185)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 4.55/3.38 tff(5642,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5643,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s184, s185)) | trans(s184, s185))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5644,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s184, s185)) | trans(s184, s185)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5643, 5642])).
% 4.55/3.38 tff(5645,plain,
% 4.55/3.38 (trans(s184, s185)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5644, 5641, 46])).
% 4.55/3.38 tff(5646,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s184, s185)) | (~always3(s184)) | always3(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s184, s185)) | (~always3(s184)) | always3(s185))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5647,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s184, s185)) | (~always3(s184)) | always3(s185))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5648,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s184, s185)) | (~always3(s184)) | always3(s185)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5647, 5646])).
% 4.55/3.38 tff(5649,plain,
% 4.55/3.38 ((~always3(s184)) | always3(s185)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5648, 63, 5645])).
% 4.55/3.38 tff(5650,plain,
% 4.55/3.38 (~always3(s184)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5649, 5638])).
% 4.55/3.38 tff(5651,plain,
% 4.55/3.38 (succ(s183, s184) <=> succ(s183, s184)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5652,axiom,(succ(s183, s184)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound184')).
% 4.55/3.38 tff(5653,plain,
% 4.55/3.38 (succ(s183, s184)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5652, 5651])).
% 4.55/3.38 tff(5654,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5655,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s183, s184)) | trans(s183, s184))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5656,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s183, s184)) | trans(s183, s184)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 4.55/3.38 tff(5657,plain,
% 4.55/3.38 (trans(s183, s184)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5656, 5653, 46])).
% 4.55/3.38 tff(5658,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s183, s184)) | (~always3(s183)) | always3(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s183, s184)) | (~always3(s183)) | always3(s184))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5659,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s183, s184)) | (~always3(s183)) | always3(s184))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5660,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s183, s184)) | (~always3(s183)) | always3(s184)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 4.55/3.38 tff(5661,plain,
% 4.55/3.38 ((~always3(s183)) | always3(s184)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5660, 63, 5657])).
% 4.55/3.38 tff(5662,plain,
% 4.55/3.38 (~always3(s183)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5661, 5650])).
% 4.55/3.38 tff(5663,plain,
% 4.55/3.38 (succ(s182, s183) <=> succ(s182, s183)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5664,axiom,(succ(s182, s183)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound183')).
% 4.55/3.38 tff(5665,plain,
% 4.55/3.38 (succ(s182, s183)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5664, 5663])).
% 4.55/3.38 tff(5666,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5667,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s182, s183)) | trans(s182, s183))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5668,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s182, s183)) | trans(s182, s183)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5667, 5666])).
% 4.55/3.38 tff(5669,plain,
% 4.55/3.38 (trans(s182, s183)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5668, 5665, 46])).
% 4.55/3.38 tff(5670,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s182, s183)) | (~always3(s182)) | always3(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s182, s183)) | (~always3(s182)) | always3(s183))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5671,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s182, s183)) | (~always3(s182)) | always3(s183))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5672,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s182, s183)) | (~always3(s182)) | always3(s183)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 4.55/3.38 tff(5673,plain,
% 4.55/3.38 ((~always3(s182)) | always3(s183)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5672, 63, 5669])).
% 4.55/3.38 tff(5674,plain,
% 4.55/3.38 (~always3(s182)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5673, 5662])).
% 4.55/3.38 tff(5675,plain,
% 4.55/3.38 (succ(s181, s182) <=> succ(s181, s182)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5676,axiom,(succ(s181, s182)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound182')).
% 4.55/3.38 tff(5677,plain,
% 4.55/3.38 (succ(s181, s182)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5676, 5675])).
% 4.55/3.38 tff(5678,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5679,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s181, s182)) | trans(s181, s182))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5680,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s181, s182)) | trans(s181, s182)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 4.55/3.38 tff(5681,plain,
% 4.55/3.38 (trans(s181, s182)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5680, 5677, 46])).
% 4.55/3.38 tff(5682,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s181, s182)) | (~always3(s181)) | always3(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s181, s182)) | (~always3(s181)) | always3(s182))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5683,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s181, s182)) | (~always3(s181)) | always3(s182))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5684,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s181, s182)) | (~always3(s181)) | always3(s182)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5683, 5682])).
% 4.55/3.38 tff(5685,plain,
% 4.55/3.38 ((~always3(s181)) | always3(s182)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5684, 63, 5681])).
% 4.55/3.38 tff(5686,plain,
% 4.55/3.38 (~always3(s181)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5685, 5674])).
% 4.55/3.38 tff(5687,plain,
% 4.55/3.38 (succ(s180, s181) <=> succ(s180, s181)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5688,axiom,(succ(s180, s181)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound181')).
% 4.55/3.38 tff(5689,plain,
% 4.55/3.38 (succ(s180, s181)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5688, 5687])).
% 4.55/3.38 tff(5690,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5691,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s180, s181)) | trans(s180, s181))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5692,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s180, s181)) | trans(s180, s181)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5691, 5690])).
% 4.55/3.38 tff(5693,plain,
% 4.55/3.38 (trans(s180, s181)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5692, 5689, 46])).
% 4.55/3.38 tff(5694,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s180, s181)) | (~always3(s180)) | always3(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s180, s181)) | (~always3(s180)) | always3(s181))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5695,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s180, s181)) | (~always3(s180)) | always3(s181))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5696,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s180, s181)) | (~always3(s180)) | always3(s181)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5695, 5694])).
% 4.55/3.38 tff(5697,plain,
% 4.55/3.38 ((~always3(s180)) | always3(s181)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5696, 63, 5693])).
% 4.55/3.38 tff(5698,plain,
% 4.55/3.38 (~always3(s180)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5697, 5686])).
% 4.55/3.38 tff(5699,plain,
% 4.55/3.38 (succ(s179, s180) <=> succ(s179, s180)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5700,axiom,(succ(s179, s180)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound180')).
% 4.55/3.38 tff(5701,plain,
% 4.55/3.38 (succ(s179, s180)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5700, 5699])).
% 4.55/3.38 tff(5702,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5703,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s179, s180)) | trans(s179, s180))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5704,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s179, s180)) | trans(s179, s180)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5703, 5702])).
% 4.55/3.38 tff(5705,plain,
% 4.55/3.38 (trans(s179, s180)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5704, 5701, 46])).
% 4.55/3.38 tff(5706,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s179, s180)) | (~always3(s179)) | always3(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s179, s180)) | (~always3(s179)) | always3(s180))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5707,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s179, s180)) | (~always3(s179)) | always3(s180))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5708,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s179, s180)) | (~always3(s179)) | always3(s180)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5707, 5706])).
% 4.55/3.38 tff(5709,plain,
% 4.55/3.38 ((~always3(s179)) | always3(s180)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5708, 63, 5705])).
% 4.55/3.38 tff(5710,plain,
% 4.55/3.38 (~always3(s179)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5709, 5698])).
% 4.55/3.38 tff(5711,plain,
% 4.55/3.38 (succ(s178, s179) <=> succ(s178, s179)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5712,axiom,(succ(s178, s179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound179')).
% 4.55/3.38 tff(5713,plain,
% 4.55/3.38 (succ(s178, s179)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 4.55/3.38 tff(5714,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5715,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s178, s179)) | trans(s178, s179))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5716,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s178, s179)) | trans(s178, s179)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 4.55/3.38 tff(5717,plain,
% 4.55/3.38 (trans(s178, s179)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5716, 5713, 46])).
% 4.55/3.38 tff(5718,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s178, s179)) | (~always3(s178)) | always3(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s178, s179)) | (~always3(s178)) | always3(s179))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5719,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s178, s179)) | (~always3(s178)) | always3(s179))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5720,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s178, s179)) | (~always3(s178)) | always3(s179)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5719, 5718])).
% 4.55/3.38 tff(5721,plain,
% 4.55/3.38 ((~always3(s178)) | always3(s179)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5720, 63, 5717])).
% 4.55/3.38 tff(5722,plain,
% 4.55/3.38 (~always3(s178)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5721, 5710])).
% 4.55/3.38 tff(5723,plain,
% 4.55/3.38 (succ(s177, s178) <=> succ(s177, s178)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5724,axiom,(succ(s177, s178)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound178')).
% 4.55/3.38 tff(5725,plain,
% 4.55/3.38 (succ(s177, s178)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5724, 5723])).
% 4.55/3.38 tff(5726,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5727,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s177, s178)) | trans(s177, s178))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5728,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s177, s178)) | trans(s177, s178)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5727, 5726])).
% 4.55/3.38 tff(5729,plain,
% 4.55/3.38 (trans(s177, s178)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5728, 5725, 46])).
% 4.55/3.38 tff(5730,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s177, s178)) | (~always3(s177)) | always3(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s177, s178)) | (~always3(s177)) | always3(s178))),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5731,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s177, s178)) | (~always3(s177)) | always3(s178))),
% 4.55/3.38 inference(quant_inst,[status(thm)],[])).
% 4.55/3.38 tff(5732,plain,
% 4.55/3.38 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s177, s178)) | (~always3(s177)) | always3(s178)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5731, 5730])).
% 4.55/3.38 tff(5733,plain,
% 4.55/3.38 ((~always3(s177)) | always3(s178)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5732, 63, 5729])).
% 4.55/3.38 tff(5734,plain,
% 4.55/3.38 (~always3(s177)),
% 4.55/3.38 inference(unit_resolution,[status(thm)],[5733, 5722])).
% 4.55/3.38 tff(5735,plain,
% 4.55/3.38 (succ(s176, s177) <=> succ(s176, s177)),
% 4.55/3.38 inference(rewrite,[status(thm)],[])).
% 4.55/3.38 tff(5736,axiom,(succ(s176, s177)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound177')).
% 4.55/3.38 tff(5737,plain,
% 4.55/3.38 (succ(s176, s177)),
% 4.55/3.38 inference(modus_ponens,[status(thm)],[5736, 5735])).
% 4.55/3.38 tff(5738,plain,
% 4.55/3.38 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5739,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s176, s177)) | trans(s176, s177))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5740,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s176, s177)) | trans(s176, s177)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 4.55/3.39 tff(5741,plain,
% 4.55/3.39 (trans(s176, s177)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5740, 5737, 46])).
% 4.55/3.39 tff(5742,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s176, s177)) | (~always3(s176)) | always3(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s176, s177)) | (~always3(s176)) | always3(s177))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5743,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s176, s177)) | (~always3(s176)) | always3(s177))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5744,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s176, s177)) | (~always3(s176)) | always3(s177)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5743, 5742])).
% 4.55/3.39 tff(5745,plain,
% 4.55/3.39 ((~always3(s176)) | always3(s177)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5744, 63, 5741])).
% 4.55/3.39 tff(5746,plain,
% 4.55/3.39 (~always3(s176)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5745, 5734])).
% 4.55/3.39 tff(5747,plain,
% 4.55/3.39 (succ(s175, s176) <=> succ(s175, s176)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5748,axiom,(succ(s175, s176)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound176')).
% 4.55/3.39 tff(5749,plain,
% 4.55/3.39 (succ(s175, s176)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5748, 5747])).
% 4.55/3.39 tff(5750,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5751,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s175, s176)) | trans(s175, s176))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5752,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s175, s176)) | trans(s175, s176)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5751, 5750])).
% 4.55/3.39 tff(5753,plain,
% 4.55/3.39 (trans(s175, s176)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5752, 5749, 46])).
% 4.55/3.39 tff(5754,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s175, s176)) | (~always3(s175)) | always3(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s175, s176)) | (~always3(s175)) | always3(s176))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5755,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s175, s176)) | (~always3(s175)) | always3(s176))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5756,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s175, s176)) | (~always3(s175)) | always3(s176)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5755, 5754])).
% 4.55/3.39 tff(5757,plain,
% 4.55/3.39 ((~always3(s175)) | always3(s176)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5756, 63, 5753])).
% 4.55/3.39 tff(5758,plain,
% 4.55/3.39 (~always3(s175)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5757, 5746])).
% 4.55/3.39 tff(5759,plain,
% 4.55/3.39 (succ(s174, s175) <=> succ(s174, s175)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5760,axiom,(succ(s174, s175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound175')).
% 4.55/3.39 tff(5761,plain,
% 4.55/3.39 (succ(s174, s175)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5760, 5759])).
% 4.55/3.39 tff(5762,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5763,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s174, s175)) | trans(s174, s175))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5764,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s174, s175)) | trans(s174, s175)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5763, 5762])).
% 4.55/3.39 tff(5765,plain,
% 4.55/3.39 (trans(s174, s175)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5764, 5761, 46])).
% 4.55/3.39 tff(5766,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s174, s175)) | (~always3(s174)) | always3(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s174, s175)) | (~always3(s174)) | always3(s175))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5767,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s174, s175)) | (~always3(s174)) | always3(s175))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5768,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s174, s175)) | (~always3(s174)) | always3(s175)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5767, 5766])).
% 4.55/3.39 tff(5769,plain,
% 4.55/3.39 ((~always3(s174)) | always3(s175)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5768, 63, 5765])).
% 4.55/3.39 tff(5770,plain,
% 4.55/3.39 (~always3(s174)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5769, 5758])).
% 4.55/3.39 tff(5771,plain,
% 4.55/3.39 (succ(s173, s174) <=> succ(s173, s174)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5772,axiom,(succ(s173, s174)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound174')).
% 4.55/3.39 tff(5773,plain,
% 4.55/3.39 (succ(s173, s174)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5772, 5771])).
% 4.55/3.39 tff(5774,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5775,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s173, s174)) | trans(s173, s174))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5776,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s173, s174)) | trans(s173, s174)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5775, 5774])).
% 4.55/3.39 tff(5777,plain,
% 4.55/3.39 (trans(s173, s174)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5776, 5773, 46])).
% 4.55/3.39 tff(5778,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s173, s174)) | (~always3(s173)) | always3(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s173, s174)) | (~always3(s173)) | always3(s174))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5779,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s173, s174)) | (~always3(s173)) | always3(s174))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5780,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s173, s174)) | (~always3(s173)) | always3(s174)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5779, 5778])).
% 4.55/3.39 tff(5781,plain,
% 4.55/3.39 ((~always3(s173)) | always3(s174)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5780, 63, 5777])).
% 4.55/3.39 tff(5782,plain,
% 4.55/3.39 (~always3(s173)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5781, 5770])).
% 4.55/3.39 tff(5783,plain,
% 4.55/3.39 (succ(s172, s173) <=> succ(s172, s173)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5784,axiom,(succ(s172, s173)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound173')).
% 4.55/3.39 tff(5785,plain,
% 4.55/3.39 (succ(s172, s173)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5784, 5783])).
% 4.55/3.39 tff(5786,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5787,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s172, s173)) | trans(s172, s173))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5788,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s172, s173)) | trans(s172, s173)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5787, 5786])).
% 4.55/3.39 tff(5789,plain,
% 4.55/3.39 (trans(s172, s173)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5788, 5785, 46])).
% 4.55/3.39 tff(5790,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s172, s173)) | (~always3(s172)) | always3(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s172, s173)) | (~always3(s172)) | always3(s173))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5791,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s172, s173)) | (~always3(s172)) | always3(s173))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5792,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s172, s173)) | (~always3(s172)) | always3(s173)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5791, 5790])).
% 4.55/3.39 tff(5793,plain,
% 4.55/3.39 ((~always3(s172)) | always3(s173)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5792, 63, 5789])).
% 4.55/3.39 tff(5794,plain,
% 4.55/3.39 (~always3(s172)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5793, 5782])).
% 4.55/3.39 tff(5795,plain,
% 4.55/3.39 (succ(s171, s172) <=> succ(s171, s172)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5796,axiom,(succ(s171, s172)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound172')).
% 4.55/3.39 tff(5797,plain,
% 4.55/3.39 (succ(s171, s172)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5796, 5795])).
% 4.55/3.39 tff(5798,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5799,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s171, s172)) | trans(s171, s172))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5800,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s171, s172)) | trans(s171, s172)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5799, 5798])).
% 4.55/3.39 tff(5801,plain,
% 4.55/3.39 (trans(s171, s172)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5800, 5797, 46])).
% 4.55/3.39 tff(5802,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s171, s172)) | (~always3(s171)) | always3(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s171, s172)) | (~always3(s171)) | always3(s172))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5803,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s171, s172)) | (~always3(s171)) | always3(s172))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5804,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s171, s172)) | (~always3(s171)) | always3(s172)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5803, 5802])).
% 4.55/3.39 tff(5805,plain,
% 4.55/3.39 ((~always3(s171)) | always3(s172)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5804, 63, 5801])).
% 4.55/3.39 tff(5806,plain,
% 4.55/3.39 (~always3(s171)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5805, 5794])).
% 4.55/3.39 tff(5807,plain,
% 4.55/3.39 (succ(s170, s171) <=> succ(s170, s171)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5808,axiom,(succ(s170, s171)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound171')).
% 4.55/3.39 tff(5809,plain,
% 4.55/3.39 (succ(s170, s171)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5808, 5807])).
% 4.55/3.39 tff(5810,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5811,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s170, s171)) | trans(s170, s171))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5812,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s170, s171)) | trans(s170, s171)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5811, 5810])).
% 4.55/3.39 tff(5813,plain,
% 4.55/3.39 (trans(s170, s171)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5812, 5809, 46])).
% 4.55/3.39 tff(5814,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s170, s171)) | (~always3(s170)) | always3(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s170, s171)) | (~always3(s170)) | always3(s171))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5815,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s170, s171)) | (~always3(s170)) | always3(s171))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5816,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s170, s171)) | (~always3(s170)) | always3(s171)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5815, 5814])).
% 4.55/3.39 tff(5817,plain,
% 4.55/3.39 ((~always3(s170)) | always3(s171)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5816, 63, 5813])).
% 4.55/3.39 tff(5818,plain,
% 4.55/3.39 (~always3(s170)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5817, 5806])).
% 4.55/3.39 tff(5819,plain,
% 4.55/3.39 (succ(s169, s170) <=> succ(s169, s170)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5820,axiom,(succ(s169, s170)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound170')).
% 4.55/3.39 tff(5821,plain,
% 4.55/3.39 (succ(s169, s170)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5820, 5819])).
% 4.55/3.39 tff(5822,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5823,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s169, s170)) | trans(s169, s170))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5824,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s169, s170)) | trans(s169, s170)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5823, 5822])).
% 4.55/3.39 tff(5825,plain,
% 4.55/3.39 (trans(s169, s170)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5824, 5821, 46])).
% 4.55/3.39 tff(5826,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s169, s170)) | (~always3(s169)) | always3(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s169, s170)) | (~always3(s169)) | always3(s170))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5827,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s169, s170)) | (~always3(s169)) | always3(s170))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5828,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s169, s170)) | (~always3(s169)) | always3(s170)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5827, 5826])).
% 4.55/3.39 tff(5829,plain,
% 4.55/3.39 ((~always3(s169)) | always3(s170)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5828, 63, 5825])).
% 4.55/3.39 tff(5830,plain,
% 4.55/3.39 (~always3(s169)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5829, 5818])).
% 4.55/3.39 tff(5831,plain,
% 4.55/3.39 (succ(s168, s169) <=> succ(s168, s169)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5832,axiom,(succ(s168, s169)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound169')).
% 4.55/3.39 tff(5833,plain,
% 4.55/3.39 (succ(s168, s169)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 4.55/3.39 tff(5834,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5835,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s168, s169)) | trans(s168, s169))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5836,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s168, s169)) | trans(s168, s169)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5835, 5834])).
% 4.55/3.39 tff(5837,plain,
% 4.55/3.39 (trans(s168, s169)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5836, 5833, 46])).
% 4.55/3.39 tff(5838,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s168, s169)) | (~always3(s168)) | always3(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s168, s169)) | (~always3(s168)) | always3(s169))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5839,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s168, s169)) | (~always3(s168)) | always3(s169))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5840,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s168, s169)) | (~always3(s168)) | always3(s169)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 4.55/3.39 tff(5841,plain,
% 4.55/3.39 ((~always3(s168)) | always3(s169)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5840, 63, 5837])).
% 4.55/3.39 tff(5842,plain,
% 4.55/3.39 (~always3(s168)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5841, 5830])).
% 4.55/3.39 tff(5843,plain,
% 4.55/3.39 (succ(s167, s168) <=> succ(s167, s168)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5844,axiom,(succ(s167, s168)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound168')).
% 4.55/3.39 tff(5845,plain,
% 4.55/3.39 (succ(s167, s168)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 4.55/3.39 tff(5846,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5847,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s167, s168)) | trans(s167, s168))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5848,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s167, s168)) | trans(s167, s168)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5847, 5846])).
% 4.55/3.39 tff(5849,plain,
% 4.55/3.39 (trans(s167, s168)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5848, 5845, 46])).
% 4.55/3.39 tff(5850,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s167, s168)) | (~always3(s167)) | always3(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s167, s168)) | (~always3(s167)) | always3(s168))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5851,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s167, s168)) | (~always3(s167)) | always3(s168))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5852,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s167, s168)) | (~always3(s167)) | always3(s168)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 4.55/3.39 tff(5853,plain,
% 4.55/3.39 ((~always3(s167)) | always3(s168)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5852, 63, 5849])).
% 4.55/3.39 tff(5854,plain,
% 4.55/3.39 (~always3(s167)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5853, 5842])).
% 4.55/3.39 tff(5855,plain,
% 4.55/3.39 (succ(s166, s167) <=> succ(s166, s167)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5856,axiom,(succ(s166, s167)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound167')).
% 4.55/3.39 tff(5857,plain,
% 4.55/3.39 (succ(s166, s167)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5856, 5855])).
% 4.55/3.39 tff(5858,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5859,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s166, s167)) | trans(s166, s167))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5860,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s166, s167)) | trans(s166, s167)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 4.55/3.39 tff(5861,plain,
% 4.55/3.39 (trans(s166, s167)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5860, 5857, 46])).
% 4.55/3.39 tff(5862,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s166, s167)) | (~always3(s166)) | always3(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s166, s167)) | (~always3(s166)) | always3(s167))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5863,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s166, s167)) | (~always3(s166)) | always3(s167))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5864,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s166, s167)) | (~always3(s166)) | always3(s167)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 4.55/3.39 tff(5865,plain,
% 4.55/3.39 ((~always3(s166)) | always3(s167)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5864, 63, 5861])).
% 4.55/3.39 tff(5866,plain,
% 4.55/3.39 (~always3(s166)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5865, 5854])).
% 4.55/3.39 tff(5867,plain,
% 4.55/3.39 (succ(s165, s166) <=> succ(s165, s166)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5868,axiom,(succ(s165, s166)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound166')).
% 4.55/3.39 tff(5869,plain,
% 4.55/3.39 (succ(s165, s166)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5868, 5867])).
% 4.55/3.39 tff(5870,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5871,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s165, s166)) | trans(s165, s166))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5872,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s165, s166)) | trans(s165, s166)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 4.55/3.39 tff(5873,plain,
% 4.55/3.39 (trans(s165, s166)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5872, 5869, 46])).
% 4.55/3.39 tff(5874,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s165, s166)) | (~always3(s165)) | always3(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s165, s166)) | (~always3(s165)) | always3(s166))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5875,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s165, s166)) | (~always3(s165)) | always3(s166))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5876,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s165, s166)) | (~always3(s165)) | always3(s166)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5875, 5874])).
% 4.55/3.39 tff(5877,plain,
% 4.55/3.39 ((~always3(s165)) | always3(s166)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5876, 63, 5873])).
% 4.55/3.39 tff(5878,plain,
% 4.55/3.39 (~always3(s165)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5877, 5866])).
% 4.55/3.39 tff(5879,plain,
% 4.55/3.39 (succ(s164, s165) <=> succ(s164, s165)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5880,axiom,(succ(s164, s165)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound165')).
% 4.55/3.39 tff(5881,plain,
% 4.55/3.39 (succ(s164, s165)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5880, 5879])).
% 4.55/3.39 tff(5882,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5883,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s164, s165)) | trans(s164, s165))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5884,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s164, s165)) | trans(s164, s165)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5883, 5882])).
% 4.55/3.39 tff(5885,plain,
% 4.55/3.39 (trans(s164, s165)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5884, 5881, 46])).
% 4.55/3.39 tff(5886,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s164, s165)) | (~always3(s164)) | always3(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s164, s165)) | (~always3(s164)) | always3(s165))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5887,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s164, s165)) | (~always3(s164)) | always3(s165))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5888,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s164, s165)) | (~always3(s164)) | always3(s165)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5887, 5886])).
% 4.55/3.39 tff(5889,plain,
% 4.55/3.39 ((~always3(s164)) | always3(s165)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5888, 63, 5885])).
% 4.55/3.39 tff(5890,plain,
% 4.55/3.39 (~always3(s164)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5889, 5878])).
% 4.55/3.39 tff(5891,plain,
% 4.55/3.39 (succ(s163, s164) <=> succ(s163, s164)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5892,axiom,(succ(s163, s164)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound164')).
% 4.55/3.39 tff(5893,plain,
% 4.55/3.39 (succ(s163, s164)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 4.55/3.39 tff(5894,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5895,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s163, s164)) | trans(s163, s164))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5896,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s163, s164)) | trans(s163, s164)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5895, 5894])).
% 4.55/3.39 tff(5897,plain,
% 4.55/3.39 (trans(s163, s164)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5896, 5893, 46])).
% 4.55/3.39 tff(5898,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s163, s164)) | (~always3(s163)) | always3(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s163, s164)) | (~always3(s163)) | always3(s164))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5899,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s163, s164)) | (~always3(s163)) | always3(s164))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5900,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s163, s164)) | (~always3(s163)) | always3(s164)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5899, 5898])).
% 4.55/3.39 tff(5901,plain,
% 4.55/3.39 ((~always3(s163)) | always3(s164)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5900, 63, 5897])).
% 4.55/3.39 tff(5902,plain,
% 4.55/3.39 (~always3(s163)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5901, 5890])).
% 4.55/3.39 tff(5903,plain,
% 4.55/3.39 (succ(s162, s163) <=> succ(s162, s163)),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5904,axiom,(succ(s162, s163)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound163')).
% 4.55/3.39 tff(5905,plain,
% 4.55/3.39 (succ(s162, s163)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5904, 5903])).
% 4.55/3.39 tff(5906,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5907,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s162, s163)) | trans(s162, s163))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5908,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s162, s163)) | trans(s162, s163)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5907, 5906])).
% 4.55/3.39 tff(5909,plain,
% 4.55/3.39 (trans(s162, s163)),
% 4.55/3.39 inference(unit_resolution,[status(thm)],[5908, 5905, 46])).
% 4.55/3.39 tff(5910,plain,
% 4.55/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s162, s163)) | (~always3(s162)) | always3(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s162, s163)) | (~always3(s162)) | always3(s163))),
% 4.55/3.39 inference(rewrite,[status(thm)],[])).
% 4.55/3.39 tff(5911,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s162, s163)) | (~always3(s162)) | always3(s163))),
% 4.55/3.39 inference(quant_inst,[status(thm)],[])).
% 4.55/3.39 tff(5912,plain,
% 4.55/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s162, s163)) | (~always3(s162)) | always3(s163)),
% 4.55/3.39 inference(modus_ponens,[status(thm)],[5911, 5910])).
% 4.55/3.39 tff(5913,plain,
% 4.55/3.39 ((~always3(s162)) | always3(s163)),
% 4.63/3.39 inference(unit_resolution,[status(thm)],[5912, 63, 5909])).
% 4.63/3.39 tff(5914,plain,
% 4.63/3.39 (~always3(s162)),
% 4.63/3.39 inference(unit_resolution,[status(thm)],[5913, 5902])).
% 4.63/3.39 tff(5915,plain,
% 4.63/3.39 (succ(s161, s162) <=> succ(s161, s162)),
% 4.63/3.39 inference(rewrite,[status(thm)],[])).
% 4.63/3.39 tff(5916,axiom,(succ(s161, s162)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound162')).
% 4.63/3.39 tff(5917,plain,
% 4.63/3.39 (succ(s161, s162)),
% 4.63/3.39 inference(modus_ponens,[status(thm)],[5916, 5915])).
% 4.63/3.39 tff(5918,plain,
% 4.63/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162))),
% 4.63/3.39 inference(rewrite,[status(thm)],[])).
% 4.63/3.39 tff(5919,plain,
% 4.63/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s161, s162)) | trans(s161, s162))),
% 4.63/3.39 inference(quant_inst,[status(thm)],[])).
% 4.63/3.39 tff(5920,plain,
% 4.63/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s161, s162)) | trans(s161, s162)),
% 4.63/3.39 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 4.63/3.39 tff(5921,plain,
% 4.63/3.39 (trans(s161, s162)),
% 4.63/3.39 inference(unit_resolution,[status(thm)],[5920, 5917, 46])).
% 4.63/3.39 tff(5922,plain,
% 4.63/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s161, s162)) | (~always3(s161)) | always3(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s161, s162)) | (~always3(s161)) | always3(s162))),
% 4.63/3.39 inference(rewrite,[status(thm)],[])).
% 4.63/3.39 tff(5923,plain,
% 4.63/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s161, s162)) | (~always3(s161)) | always3(s162))),
% 4.63/3.39 inference(quant_inst,[status(thm)],[])).
% 4.63/3.39 tff(5924,plain,
% 4.63/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s161, s162)) | (~always3(s161)) | always3(s162)),
% 4.63/3.39 inference(modus_ponens,[status(thm)],[5923, 5922])).
% 4.63/3.39 tff(5925,plain,
% 4.63/3.39 ((~always3(s161)) | always3(s162)),
% 4.63/3.39 inference(unit_resolution,[status(thm)],[5924, 63, 5921])).
% 4.63/3.39 tff(5926,plain,
% 4.63/3.39 (~always3(s161)),
% 4.63/3.39 inference(unit_resolution,[status(thm)],[5925, 5914])).
% 4.63/3.39 tff(5927,plain,
% 4.63/3.39 (succ(s160, s161) <=> succ(s160, s161)),
% 4.63/3.39 inference(rewrite,[status(thm)],[])).
% 4.63/3.39 tff(5928,axiom,(succ(s160, s161)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound161')).
% 4.63/3.39 tff(5929,plain,
% 4.63/3.39 (succ(s160, s161)),
% 4.63/3.39 inference(modus_ponens,[status(thm)],[5928, 5927])).
% 4.63/3.39 tff(5930,plain,
% 4.63/3.39 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161))),
% 4.63/3.39 inference(rewrite,[status(thm)],[])).
% 4.63/3.39 tff(5931,plain,
% 4.63/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s160, s161)) | trans(s160, s161))),
% 4.63/3.39 inference(quant_inst,[status(thm)],[])).
% 4.63/3.39 tff(5932,plain,
% 4.63/3.39 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s160, s161)) | trans(s160, s161)),
% 4.63/3.39 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 4.63/3.39 tff(5933,plain,
% 4.63/3.39 (trans(s160, s161)),
% 4.63/3.39 inference(unit_resolution,[status(thm)],[5932, 5929, 46])).
% 4.63/3.39 tff(5934,plain,
% 4.63/3.39 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s160, s161)) | (~always3(s160)) | always3(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s160, s161)) | (~always3(s160)) | always3(s161))),
% 4.63/3.39 inference(rewrite,[status(thm)],[])).
% 4.63/3.39 tff(5935,plain,
% 4.63/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s160, s161)) | (~always3(s160)) | always3(s161))),
% 4.63/3.39 inference(quant_inst,[status(thm)],[])).
% 4.63/3.39 tff(5936,plain,
% 4.63/3.39 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s160, s161)) | (~always3(s160)) | always3(s161)),
% 4.63/3.39 inference(modus_ponens,[status(thm)],[5935, 5934])).
% 4.63/3.39 tff(5937,plain,
% 4.63/3.39 ((~always3(s160)) | always3(s161)),
% 4.63/3.39 inference(unit_resolution,[status(thm)],[5936, 63, 5933])).
% 4.63/3.39 tff(5938,plain,
% 4.63/3.39 (~always3(s160)),
% 4.63/3.39 inference(unit_resolution,[status(thm)],[5937, 5926])).
% 4.63/3.39 tff(5939,plain,
% 4.63/3.40 (succ(s159, s160) <=> succ(s159, s160)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5940,axiom,(succ(s159, s160)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound160')).
% 4.63/3.40 tff(5941,plain,
% 4.63/3.40 (succ(s159, s160)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5940, 5939])).
% 4.63/3.40 tff(5942,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5943,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s159, s160)) | trans(s159, s160))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5944,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s159, s160)) | trans(s159, s160)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5943, 5942])).
% 4.63/3.40 tff(5945,plain,
% 4.63/3.40 (trans(s159, s160)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5944, 5941, 46])).
% 4.63/3.40 tff(5946,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s159, s160)) | (~always3(s159)) | always3(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s159, s160)) | (~always3(s159)) | always3(s160))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5947,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s159, s160)) | (~always3(s159)) | always3(s160))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5948,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s159, s160)) | (~always3(s159)) | always3(s160)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5947, 5946])).
% 4.63/3.40 tff(5949,plain,
% 4.63/3.40 ((~always3(s159)) | always3(s160)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5948, 63, 5945])).
% 4.63/3.40 tff(5950,plain,
% 4.63/3.40 (~always3(s159)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5949, 5938])).
% 4.63/3.40 tff(5951,plain,
% 4.63/3.40 (succ(s158, s159) <=> succ(s158, s159)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5952,axiom,(succ(s158, s159)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound159')).
% 4.63/3.40 tff(5953,plain,
% 4.63/3.40 (succ(s158, s159)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5952, 5951])).
% 4.63/3.40 tff(5954,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5955,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s158, s159)) | trans(s158, s159))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5956,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s158, s159)) | trans(s158, s159)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5955, 5954])).
% 4.63/3.40 tff(5957,plain,
% 4.63/3.40 (trans(s158, s159)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5956, 5953, 46])).
% 4.63/3.40 tff(5958,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s158, s159)) | (~always3(s158)) | always3(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s158, s159)) | (~always3(s158)) | always3(s159))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5959,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s158, s159)) | (~always3(s158)) | always3(s159))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5960,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s158, s159)) | (~always3(s158)) | always3(s159)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5959, 5958])).
% 4.63/3.40 tff(5961,plain,
% 4.63/3.40 ((~always3(s158)) | always3(s159)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5960, 63, 5957])).
% 4.63/3.40 tff(5962,plain,
% 4.63/3.40 (~always3(s158)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5961, 5950])).
% 4.63/3.40 tff(5963,plain,
% 4.63/3.40 (succ(s157, s158) <=> succ(s157, s158)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5964,axiom,(succ(s157, s158)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound158')).
% 4.63/3.40 tff(5965,plain,
% 4.63/3.40 (succ(s157, s158)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5964, 5963])).
% 4.63/3.40 tff(5966,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5967,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s157, s158)) | trans(s157, s158))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5968,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s157, s158)) | trans(s157, s158)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5967, 5966])).
% 4.63/3.40 tff(5969,plain,
% 4.63/3.40 (trans(s157, s158)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5968, 5965, 46])).
% 4.63/3.40 tff(5970,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s157, s158)) | (~always3(s157)) | always3(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s157, s158)) | (~always3(s157)) | always3(s158))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5971,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s157, s158)) | (~always3(s157)) | always3(s158))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5972,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s157, s158)) | (~always3(s157)) | always3(s158)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 4.63/3.40 tff(5973,plain,
% 4.63/3.40 ((~always3(s157)) | always3(s158)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5972, 63, 5969])).
% 4.63/3.40 tff(5974,plain,
% 4.63/3.40 (~always3(s157)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5973, 5962])).
% 4.63/3.40 tff(5975,plain,
% 4.63/3.40 (succ(s156, s157) <=> succ(s156, s157)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5976,axiom,(succ(s156, s157)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound157')).
% 4.63/3.40 tff(5977,plain,
% 4.63/3.40 (succ(s156, s157)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 4.63/3.40 tff(5978,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5979,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s156, s157)) | trans(s156, s157))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5980,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s156, s157)) | trans(s156, s157)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5979, 5978])).
% 4.63/3.40 tff(5981,plain,
% 4.63/3.40 (trans(s156, s157)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5980, 5977, 46])).
% 4.63/3.40 tff(5982,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s156, s157)) | (~always3(s156)) | always3(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s156, s157)) | (~always3(s156)) | always3(s157))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5983,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s156, s157)) | (~always3(s156)) | always3(s157))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5984,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s156, s157)) | (~always3(s156)) | always3(s157)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 4.63/3.40 tff(5985,plain,
% 4.63/3.40 ((~always3(s156)) | always3(s157)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5984, 63, 5981])).
% 4.63/3.40 tff(5986,plain,
% 4.63/3.40 (~always3(s156)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5985, 5974])).
% 4.63/3.40 tff(5987,plain,
% 4.63/3.40 (succ(s155, s156) <=> succ(s155, s156)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5988,axiom,(succ(s155, s156)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound156')).
% 4.63/3.40 tff(5989,plain,
% 4.63/3.40 (succ(s155, s156)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5988, 5987])).
% 4.63/3.40 tff(5990,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5991,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s155, s156)) | trans(s155, s156))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5992,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s155, s156)) | trans(s155, s156)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5991, 5990])).
% 4.63/3.40 tff(5993,plain,
% 4.63/3.40 (trans(s155, s156)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5992, 5989, 46])).
% 4.63/3.40 tff(5994,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s155, s156)) | (~always3(s155)) | always3(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s155, s156)) | (~always3(s155)) | always3(s156))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(5995,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s155, s156)) | (~always3(s155)) | always3(s156))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(5996,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s155, s156)) | (~always3(s155)) | always3(s156)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[5995, 5994])).
% 4.63/3.40 tff(5997,plain,
% 4.63/3.40 ((~always3(s155)) | always3(s156)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5996, 63, 5993])).
% 4.63/3.40 tff(5998,plain,
% 4.63/3.40 (~always3(s155)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[5997, 5986])).
% 4.63/3.40 tff(5999,plain,
% 4.63/3.40 (succ(s154, s155) <=> succ(s154, s155)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6000,axiom,(succ(s154, s155)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound155')).
% 4.63/3.40 tff(6001,plain,
% 4.63/3.40 (succ(s154, s155)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6000, 5999])).
% 4.63/3.40 tff(6002,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6003,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s154, s155)) | trans(s154, s155))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6004,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s154, s155)) | trans(s154, s155)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6003, 6002])).
% 4.63/3.40 tff(6005,plain,
% 4.63/3.40 (trans(s154, s155)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6004, 6001, 46])).
% 4.63/3.40 tff(6006,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s154, s155)) | (~always3(s154)) | always3(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s154, s155)) | (~always3(s154)) | always3(s155))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6007,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s154, s155)) | (~always3(s154)) | always3(s155))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6008,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s154, s155)) | (~always3(s154)) | always3(s155)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6007, 6006])).
% 4.63/3.40 tff(6009,plain,
% 4.63/3.40 ((~always3(s154)) | always3(s155)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6008, 63, 6005])).
% 4.63/3.40 tff(6010,plain,
% 4.63/3.40 (~always3(s154)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6009, 5998])).
% 4.63/3.40 tff(6011,plain,
% 4.63/3.40 (succ(s153, s154) <=> succ(s153, s154)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6012,axiom,(succ(s153, s154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound154')).
% 4.63/3.40 tff(6013,plain,
% 4.63/3.40 (succ(s153, s154)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6012, 6011])).
% 4.63/3.40 tff(6014,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6015,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s153, s154)) | trans(s153, s154))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6016,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s153, s154)) | trans(s153, s154)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6015, 6014])).
% 4.63/3.40 tff(6017,plain,
% 4.63/3.40 (trans(s153, s154)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6016, 6013, 46])).
% 4.63/3.40 tff(6018,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s153, s154)) | (~always3(s153)) | always3(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s153, s154)) | (~always3(s153)) | always3(s154))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6019,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s153, s154)) | (~always3(s153)) | always3(s154))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6020,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s153, s154)) | (~always3(s153)) | always3(s154)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6019, 6018])).
% 4.63/3.40 tff(6021,plain,
% 4.63/3.40 ((~always3(s153)) | always3(s154)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6020, 63, 6017])).
% 4.63/3.40 tff(6022,plain,
% 4.63/3.40 (~always3(s153)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6021, 6010])).
% 4.63/3.40 tff(6023,plain,
% 4.63/3.40 (succ(s152, s153) <=> succ(s152, s153)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6024,axiom,(succ(s152, s153)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound153')).
% 4.63/3.40 tff(6025,plain,
% 4.63/3.40 (succ(s152, s153)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6024, 6023])).
% 4.63/3.40 tff(6026,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6027,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s152, s153)) | trans(s152, s153))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6028,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s152, s153)) | trans(s152, s153)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6027, 6026])).
% 4.63/3.40 tff(6029,plain,
% 4.63/3.40 (trans(s152, s153)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6028, 6025, 46])).
% 4.63/3.40 tff(6030,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s152, s153)) | (~always3(s152)) | always3(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s152, s153)) | (~always3(s152)) | always3(s153))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6031,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s152, s153)) | (~always3(s152)) | always3(s153))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6032,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s152, s153)) | (~always3(s152)) | always3(s153)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 4.63/3.40 tff(6033,plain,
% 4.63/3.40 ((~always3(s152)) | always3(s153)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6032, 63, 6029])).
% 4.63/3.40 tff(6034,plain,
% 4.63/3.40 (~always3(s152)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6033, 6022])).
% 4.63/3.40 tff(6035,plain,
% 4.63/3.40 (succ(s151, s152) <=> succ(s151, s152)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6036,axiom,(succ(s151, s152)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound152')).
% 4.63/3.40 tff(6037,plain,
% 4.63/3.40 (succ(s151, s152)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6036, 6035])).
% 4.63/3.40 tff(6038,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6039,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s151, s152)) | trans(s151, s152))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6040,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s151, s152)) | trans(s151, s152)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 4.63/3.40 tff(6041,plain,
% 4.63/3.40 (trans(s151, s152)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6040, 6037, 46])).
% 4.63/3.40 tff(6042,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s151, s152)) | (~always3(s151)) | always3(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s151, s152)) | (~always3(s151)) | always3(s152))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6043,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s151, s152)) | (~always3(s151)) | always3(s152))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6044,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s151, s152)) | (~always3(s151)) | always3(s152)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 4.63/3.40 tff(6045,plain,
% 4.63/3.40 ((~always3(s151)) | always3(s152)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6044, 63, 6041])).
% 4.63/3.40 tff(6046,plain,
% 4.63/3.40 (~always3(s151)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6045, 6034])).
% 4.63/3.40 tff(6047,plain,
% 4.63/3.40 (succ(s150, s151) <=> succ(s150, s151)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6048,axiom,(succ(s150, s151)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound151')).
% 4.63/3.40 tff(6049,plain,
% 4.63/3.40 (succ(s150, s151)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 4.63/3.40 tff(6050,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6051,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s150, s151)) | trans(s150, s151))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6052,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s150, s151)) | trans(s150, s151)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6051, 6050])).
% 4.63/3.40 tff(6053,plain,
% 4.63/3.40 (trans(s150, s151)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6052, 6049, 46])).
% 4.63/3.40 tff(6054,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s150, s151)) | (~always3(s150)) | always3(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s150, s151)) | (~always3(s150)) | always3(s151))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6055,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s150, s151)) | (~always3(s150)) | always3(s151))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6056,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s150, s151)) | (~always3(s150)) | always3(s151)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6055, 6054])).
% 4.63/3.40 tff(6057,plain,
% 4.63/3.40 ((~always3(s150)) | always3(s151)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6056, 63, 6053])).
% 4.63/3.40 tff(6058,plain,
% 4.63/3.40 (~always3(s150)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6057, 6046])).
% 4.63/3.40 tff(6059,plain,
% 4.63/3.40 (succ(s149, s150) <=> succ(s149, s150)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6060,axiom,(succ(s149, s150)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound150')).
% 4.63/3.40 tff(6061,plain,
% 4.63/3.40 (succ(s149, s150)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6060, 6059])).
% 4.63/3.40 tff(6062,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6063,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s149, s150)) | trans(s149, s150))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6064,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s149, s150)) | trans(s149, s150)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 4.63/3.40 tff(6065,plain,
% 4.63/3.40 (trans(s149, s150)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6064, 6061, 46])).
% 4.63/3.40 tff(6066,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s149, s150)) | (~always3(s149)) | always3(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s149, s150)) | (~always3(s149)) | always3(s150))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6067,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s149, s150)) | (~always3(s149)) | always3(s150))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6068,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s149, s150)) | (~always3(s149)) | always3(s150)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6067, 6066])).
% 4.63/3.40 tff(6069,plain,
% 4.63/3.40 ((~always3(s149)) | always3(s150)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6068, 63, 6065])).
% 4.63/3.40 tff(6070,plain,
% 4.63/3.40 (~always3(s149)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6069, 6058])).
% 4.63/3.40 tff(6071,plain,
% 4.63/3.40 (succ(s148, s149) <=> succ(s148, s149)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6072,axiom,(succ(s148, s149)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound149')).
% 4.63/3.40 tff(6073,plain,
% 4.63/3.40 (succ(s148, s149)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6072, 6071])).
% 4.63/3.40 tff(6074,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6075,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s148, s149)) | trans(s148, s149))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6076,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s148, s149)) | trans(s148, s149)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6075, 6074])).
% 4.63/3.40 tff(6077,plain,
% 4.63/3.40 (trans(s148, s149)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6076, 6073, 46])).
% 4.63/3.40 tff(6078,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s148, s149)) | (~always3(s148)) | always3(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s148, s149)) | (~always3(s148)) | always3(s149))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6079,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s148, s149)) | (~always3(s148)) | always3(s149))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6080,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s148, s149)) | (~always3(s148)) | always3(s149)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6079, 6078])).
% 4.63/3.40 tff(6081,plain,
% 4.63/3.40 ((~always3(s148)) | always3(s149)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6080, 63, 6077])).
% 4.63/3.40 tff(6082,plain,
% 4.63/3.40 (~always3(s148)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6081, 6070])).
% 4.63/3.40 tff(6083,plain,
% 4.63/3.40 (succ(s147, s148) <=> succ(s147, s148)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6084,axiom,(succ(s147, s148)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound148')).
% 4.63/3.40 tff(6085,plain,
% 4.63/3.40 (succ(s147, s148)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6084, 6083])).
% 4.63/3.40 tff(6086,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6087,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s147, s148)) | trans(s147, s148))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6088,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s147, s148)) | trans(s147, s148)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6087, 6086])).
% 4.63/3.40 tff(6089,plain,
% 4.63/3.40 (trans(s147, s148)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6088, 6085, 46])).
% 4.63/3.40 tff(6090,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s147, s148)) | (~always3(s147)) | always3(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s147, s148)) | (~always3(s147)) | always3(s148))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6091,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s147, s148)) | (~always3(s147)) | always3(s148))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6092,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s147, s148)) | (~always3(s147)) | always3(s148)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6091, 6090])).
% 4.63/3.40 tff(6093,plain,
% 4.63/3.40 ((~always3(s147)) | always3(s148)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6092, 63, 6089])).
% 4.63/3.40 tff(6094,plain,
% 4.63/3.40 (~always3(s147)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6093, 6082])).
% 4.63/3.40 tff(6095,plain,
% 4.63/3.40 (succ(s146, s147) <=> succ(s146, s147)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6096,axiom,(succ(s146, s147)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound147')).
% 4.63/3.40 tff(6097,plain,
% 4.63/3.40 (succ(s146, s147)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6096, 6095])).
% 4.63/3.40 tff(6098,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6099,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s146, s147)) | trans(s146, s147))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6100,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s146, s147)) | trans(s146, s147)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 4.63/3.40 tff(6101,plain,
% 4.63/3.40 (trans(s146, s147)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6100, 6097, 46])).
% 4.63/3.40 tff(6102,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s146, s147)) | (~always3(s146)) | always3(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s146, s147)) | (~always3(s146)) | always3(s147))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6103,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s146, s147)) | (~always3(s146)) | always3(s147))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6104,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s146, s147)) | (~always3(s146)) | always3(s147)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6103, 6102])).
% 4.63/3.40 tff(6105,plain,
% 4.63/3.40 ((~always3(s146)) | always3(s147)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6104, 63, 6101])).
% 4.63/3.40 tff(6106,plain,
% 4.63/3.40 (~always3(s146)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6105, 6094])).
% 4.63/3.40 tff(6107,plain,
% 4.63/3.40 (succ(s145, s146) <=> succ(s145, s146)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6108,axiom,(succ(s145, s146)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound146')).
% 4.63/3.40 tff(6109,plain,
% 4.63/3.40 (succ(s145, s146)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6108, 6107])).
% 4.63/3.40 tff(6110,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6111,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s145, s146)) | trans(s145, s146))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6112,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s145, s146)) | trans(s145, s146)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 4.63/3.40 tff(6113,plain,
% 4.63/3.40 (trans(s145, s146)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6112, 6109, 46])).
% 4.63/3.40 tff(6114,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s145, s146)) | (~always3(s145)) | always3(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s145, s146)) | (~always3(s145)) | always3(s146))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6115,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s145, s146)) | (~always3(s145)) | always3(s146))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6116,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s145, s146)) | (~always3(s145)) | always3(s146)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6115, 6114])).
% 4.63/3.40 tff(6117,plain,
% 4.63/3.40 ((~always3(s145)) | always3(s146)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6116, 63, 6113])).
% 4.63/3.40 tff(6118,plain,
% 4.63/3.40 (~always3(s145)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6117, 6106])).
% 4.63/3.40 tff(6119,plain,
% 4.63/3.40 (succ(s144, s145) <=> succ(s144, s145)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6120,axiom,(succ(s144, s145)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound145')).
% 4.63/3.40 tff(6121,plain,
% 4.63/3.40 (succ(s144, s145)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6120, 6119])).
% 4.63/3.40 tff(6122,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6123,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s144, s145)) | trans(s144, s145))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6124,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s144, s145)) | trans(s144, s145)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6123, 6122])).
% 4.63/3.40 tff(6125,plain,
% 4.63/3.40 (trans(s144, s145)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6124, 6121, 46])).
% 4.63/3.40 tff(6126,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s144, s145)) | (~always3(s144)) | always3(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s144, s145)) | (~always3(s144)) | always3(s145))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6127,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s144, s145)) | (~always3(s144)) | always3(s145))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6128,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s144, s145)) | (~always3(s144)) | always3(s145)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6127, 6126])).
% 4.63/3.40 tff(6129,plain,
% 4.63/3.40 ((~always3(s144)) | always3(s145)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6128, 63, 6125])).
% 4.63/3.40 tff(6130,plain,
% 4.63/3.40 (~always3(s144)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6129, 6118])).
% 4.63/3.40 tff(6131,plain,
% 4.63/3.40 (succ(s143, s144) <=> succ(s143, s144)),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6132,axiom,(succ(s143, s144)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound144')).
% 4.63/3.40 tff(6133,plain,
% 4.63/3.40 (succ(s143, s144)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6132, 6131])).
% 4.63/3.40 tff(6134,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6135,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s143, s144)) | trans(s143, s144))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6136,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s143, s144)) | trans(s143, s144)),
% 4.63/3.40 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 4.63/3.40 tff(6137,plain,
% 4.63/3.40 (trans(s143, s144)),
% 4.63/3.40 inference(unit_resolution,[status(thm)],[6136, 6133, 46])).
% 4.63/3.40 tff(6138,plain,
% 4.63/3.40 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s143, s144)) | (~always3(s143)) | always3(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s143, s144)) | (~always3(s143)) | always3(s144))),
% 4.63/3.40 inference(rewrite,[status(thm)],[])).
% 4.63/3.40 tff(6139,plain,
% 4.63/3.40 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s143, s144)) | (~always3(s143)) | always3(s144))),
% 4.63/3.40 inference(quant_inst,[status(thm)],[])).
% 4.63/3.40 tff(6140,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s143, s144)) | (~always3(s143)) | always3(s144)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6139, 6138])).
% 4.63/3.41 tff(6141,plain,
% 4.63/3.41 ((~always3(s143)) | always3(s144)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6140, 63, 6137])).
% 4.63/3.41 tff(6142,plain,
% 4.63/3.41 (~always3(s143)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6141, 6130])).
% 4.63/3.41 tff(6143,plain,
% 4.63/3.41 (succ(s142, s143) <=> succ(s142, s143)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6144,axiom,(succ(s142, s143)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound143')).
% 4.63/3.41 tff(6145,plain,
% 4.63/3.41 (succ(s142, s143)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6144, 6143])).
% 4.63/3.41 tff(6146,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6147,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s142, s143)) | trans(s142, s143))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6148,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s142, s143)) | trans(s142, s143)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6147, 6146])).
% 4.63/3.41 tff(6149,plain,
% 4.63/3.41 (trans(s142, s143)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6148, 6145, 46])).
% 4.63/3.41 tff(6150,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s142, s143)) | (~always3(s142)) | always3(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s142, s143)) | (~always3(s142)) | always3(s143))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6151,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s142, s143)) | (~always3(s142)) | always3(s143))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6152,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s142, s143)) | (~always3(s142)) | always3(s143)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 4.63/3.41 tff(6153,plain,
% 4.63/3.41 ((~always3(s142)) | always3(s143)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6152, 63, 6149])).
% 4.63/3.41 tff(6154,plain,
% 4.63/3.41 (~always3(s142)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6153, 6142])).
% 4.63/3.41 tff(6155,plain,
% 4.63/3.41 (succ(s141, s142) <=> succ(s141, s142)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6156,axiom,(succ(s141, s142)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound142')).
% 4.63/3.41 tff(6157,plain,
% 4.63/3.41 (succ(s141, s142)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6156, 6155])).
% 4.63/3.41 tff(6158,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6159,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s141, s142)) | trans(s141, s142))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6160,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s141, s142)) | trans(s141, s142)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6159, 6158])).
% 4.63/3.41 tff(6161,plain,
% 4.63/3.41 (trans(s141, s142)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6160, 6157, 46])).
% 4.63/3.41 tff(6162,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s141, s142)) | (~always3(s141)) | always3(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s141, s142)) | (~always3(s141)) | always3(s142))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6163,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s141, s142)) | (~always3(s141)) | always3(s142))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6164,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s141, s142)) | (~always3(s141)) | always3(s142)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6163, 6162])).
% 4.63/3.41 tff(6165,plain,
% 4.63/3.41 ((~always3(s141)) | always3(s142)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6164, 63, 6161])).
% 4.63/3.41 tff(6166,plain,
% 4.63/3.41 (~always3(s141)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6165, 6154])).
% 4.63/3.41 tff(6167,plain,
% 4.63/3.41 (succ(s140, s141) <=> succ(s140, s141)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6168,axiom,(succ(s140, s141)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound141')).
% 4.63/3.41 tff(6169,plain,
% 4.63/3.41 (succ(s140, s141)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6168, 6167])).
% 4.63/3.41 tff(6170,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6171,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s140, s141)) | trans(s140, s141))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6172,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s140, s141)) | trans(s140, s141)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 4.63/3.41 tff(6173,plain,
% 4.63/3.41 (trans(s140, s141)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6172, 6169, 46])).
% 4.63/3.41 tff(6174,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s140, s141)) | (~always3(s140)) | always3(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s140, s141)) | (~always3(s140)) | always3(s141))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6175,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s140, s141)) | (~always3(s140)) | always3(s141))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6176,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s140, s141)) | (~always3(s140)) | always3(s141)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6175, 6174])).
% 4.63/3.41 tff(6177,plain,
% 4.63/3.41 ((~always3(s140)) | always3(s141)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6176, 63, 6173])).
% 4.63/3.41 tff(6178,plain,
% 4.63/3.41 (~always3(s140)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6177, 6166])).
% 4.63/3.41 tff(6179,plain,
% 4.63/3.41 (succ(s139, s140) <=> succ(s139, s140)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6180,axiom,(succ(s139, s140)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound140')).
% 4.63/3.41 tff(6181,plain,
% 4.63/3.41 (succ(s139, s140)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6180, 6179])).
% 4.63/3.41 tff(6182,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6183,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s139, s140)) | trans(s139, s140))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6184,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s139, s140)) | trans(s139, s140)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6183, 6182])).
% 4.63/3.41 tff(6185,plain,
% 4.63/3.41 (trans(s139, s140)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6184, 6181, 46])).
% 4.63/3.41 tff(6186,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s139, s140)) | (~always3(s139)) | always3(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s139, s140)) | (~always3(s139)) | always3(s140))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6187,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s139, s140)) | (~always3(s139)) | always3(s140))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6188,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s139, s140)) | (~always3(s139)) | always3(s140)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6187, 6186])).
% 4.63/3.41 tff(6189,plain,
% 4.63/3.41 ((~always3(s139)) | always3(s140)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6188, 63, 6185])).
% 4.63/3.41 tff(6190,plain,
% 4.63/3.41 (~always3(s139)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6189, 6178])).
% 4.63/3.41 tff(6191,plain,
% 4.63/3.41 (succ(s138, s139) <=> succ(s138, s139)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6192,axiom,(succ(s138, s139)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound139')).
% 4.63/3.41 tff(6193,plain,
% 4.63/3.41 (succ(s138, s139)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 4.63/3.41 tff(6194,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6195,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s138, s139)) | trans(s138, s139))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6196,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s138, s139)) | trans(s138, s139)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6195, 6194])).
% 4.63/3.41 tff(6197,plain,
% 4.63/3.41 (trans(s138, s139)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6196, 6193, 46])).
% 4.63/3.41 tff(6198,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s138, s139)) | (~always3(s138)) | always3(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s138, s139)) | (~always3(s138)) | always3(s139))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6199,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s138, s139)) | (~always3(s138)) | always3(s139))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6200,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s138, s139)) | (~always3(s138)) | always3(s139)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6199, 6198])).
% 4.63/3.41 tff(6201,plain,
% 4.63/3.41 ((~always3(s138)) | always3(s139)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6200, 63, 6197])).
% 4.63/3.41 tff(6202,plain,
% 4.63/3.41 (~always3(s138)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6201, 6190])).
% 4.63/3.41 tff(6203,plain,
% 4.63/3.41 (succ(s137, s138) <=> succ(s137, s138)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6204,axiom,(succ(s137, s138)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound138')).
% 4.63/3.41 tff(6205,plain,
% 4.63/3.41 (succ(s137, s138)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6204, 6203])).
% 4.63/3.41 tff(6206,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6207,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s137, s138)) | trans(s137, s138))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6208,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s137, s138)) | trans(s137, s138)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 4.63/3.41 tff(6209,plain,
% 4.63/3.41 (trans(s137, s138)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6208, 6205, 46])).
% 4.63/3.41 tff(6210,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s137, s138)) | (~always3(s137)) | always3(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s137, s138)) | (~always3(s137)) | always3(s138))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6211,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s137, s138)) | (~always3(s137)) | always3(s138))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6212,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s137, s138)) | (~always3(s137)) | always3(s138)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6211, 6210])).
% 4.63/3.41 tff(6213,plain,
% 4.63/3.41 ((~always3(s137)) | always3(s138)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6212, 63, 6209])).
% 4.63/3.41 tff(6214,plain,
% 4.63/3.41 (~always3(s137)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6213, 6202])).
% 4.63/3.41 tff(6215,plain,
% 4.63/3.41 (succ(s136, s137) <=> succ(s136, s137)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6216,axiom,(succ(s136, s137)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound137')).
% 4.63/3.41 tff(6217,plain,
% 4.63/3.41 (succ(s136, s137)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6216, 6215])).
% 4.63/3.41 tff(6218,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6219,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s136, s137)) | trans(s136, s137))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6220,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s136, s137)) | trans(s136, s137)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6219, 6218])).
% 4.63/3.41 tff(6221,plain,
% 4.63/3.41 (trans(s136, s137)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6220, 6217, 46])).
% 4.63/3.41 tff(6222,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s136, s137)) | (~always3(s136)) | always3(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s136, s137)) | (~always3(s136)) | always3(s137))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6223,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s136, s137)) | (~always3(s136)) | always3(s137))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6224,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s136, s137)) | (~always3(s136)) | always3(s137)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6223, 6222])).
% 4.63/3.41 tff(6225,plain,
% 4.63/3.41 ((~always3(s136)) | always3(s137)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6224, 63, 6221])).
% 4.63/3.41 tff(6226,plain,
% 4.63/3.41 (~always3(s136)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6225, 6214])).
% 4.63/3.41 tff(6227,plain,
% 4.63/3.41 (succ(s135, s136) <=> succ(s135, s136)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6228,axiom,(succ(s135, s136)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound136')).
% 4.63/3.41 tff(6229,plain,
% 4.63/3.41 (succ(s135, s136)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6228, 6227])).
% 4.63/3.41 tff(6230,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6231,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s135, s136)) | trans(s135, s136))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6232,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s135, s136)) | trans(s135, s136)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6231, 6230])).
% 4.63/3.41 tff(6233,plain,
% 4.63/3.41 (trans(s135, s136)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6232, 6229, 46])).
% 4.63/3.41 tff(6234,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s135, s136)) | (~always3(s135)) | always3(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s135, s136)) | (~always3(s135)) | always3(s136))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6235,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s135, s136)) | (~always3(s135)) | always3(s136))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6236,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s135, s136)) | (~always3(s135)) | always3(s136)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6235, 6234])).
% 4.63/3.41 tff(6237,plain,
% 4.63/3.41 ((~always3(s135)) | always3(s136)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6236, 63, 6233])).
% 4.63/3.41 tff(6238,plain,
% 4.63/3.41 (~always3(s135)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6237, 6226])).
% 4.63/3.41 tff(6239,plain,
% 4.63/3.41 (succ(s134, s135) <=> succ(s134, s135)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6240,axiom,(succ(s134, s135)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound135')).
% 4.63/3.41 tff(6241,plain,
% 4.63/3.41 (succ(s134, s135)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6240, 6239])).
% 4.63/3.41 tff(6242,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6243,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s134, s135)) | trans(s134, s135))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6244,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s134, s135)) | trans(s134, s135)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6243, 6242])).
% 4.63/3.41 tff(6245,plain,
% 4.63/3.41 (trans(s134, s135)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6244, 6241, 46])).
% 4.63/3.41 tff(6246,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s134, s135)) | (~always3(s134)) | always3(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s134, s135)) | (~always3(s134)) | always3(s135))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6247,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s134, s135)) | (~always3(s134)) | always3(s135))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6248,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s134, s135)) | (~always3(s134)) | always3(s135)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6247, 6246])).
% 4.63/3.41 tff(6249,plain,
% 4.63/3.41 ((~always3(s134)) | always3(s135)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6248, 63, 6245])).
% 4.63/3.41 tff(6250,plain,
% 4.63/3.41 (~always3(s134)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6249, 6238])).
% 4.63/3.41 tff(6251,plain,
% 4.63/3.41 (succ(s133, s134) <=> succ(s133, s134)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6252,axiom,(succ(s133, s134)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound134')).
% 4.63/3.41 tff(6253,plain,
% 4.63/3.41 (succ(s133, s134)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6252, 6251])).
% 4.63/3.41 tff(6254,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6255,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s133, s134)) | trans(s133, s134))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6256,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s133, s134)) | trans(s133, s134)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 4.63/3.41 tff(6257,plain,
% 4.63/3.41 (trans(s133, s134)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6256, 6253, 46])).
% 4.63/3.41 tff(6258,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s133, s134)) | (~always3(s133)) | always3(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s133, s134)) | (~always3(s133)) | always3(s134))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6259,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s133, s134)) | (~always3(s133)) | always3(s134))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6260,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s133, s134)) | (~always3(s133)) | always3(s134)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6259, 6258])).
% 4.63/3.41 tff(6261,plain,
% 4.63/3.41 ((~always3(s133)) | always3(s134)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6260, 63, 6257])).
% 4.63/3.41 tff(6262,plain,
% 4.63/3.41 (~always3(s133)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6261, 6250])).
% 4.63/3.41 tff(6263,plain,
% 4.63/3.41 (succ(s132, s133) <=> succ(s132, s133)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6264,axiom,(succ(s132, s133)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound133')).
% 4.63/3.41 tff(6265,plain,
% 4.63/3.41 (succ(s132, s133)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 4.63/3.41 tff(6266,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6267,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s132, s133)) | trans(s132, s133))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6268,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s132, s133)) | trans(s132, s133)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6267, 6266])).
% 4.63/3.41 tff(6269,plain,
% 4.63/3.41 (trans(s132, s133)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6268, 6265, 46])).
% 4.63/3.41 tff(6270,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s132, s133)) | (~always3(s132)) | always3(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s132, s133)) | (~always3(s132)) | always3(s133))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6271,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s132, s133)) | (~always3(s132)) | always3(s133))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6272,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s132, s133)) | (~always3(s132)) | always3(s133)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6271, 6270])).
% 4.63/3.41 tff(6273,plain,
% 4.63/3.41 ((~always3(s132)) | always3(s133)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6272, 63, 6269])).
% 4.63/3.41 tff(6274,plain,
% 4.63/3.41 (~always3(s132)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6273, 6262])).
% 4.63/3.41 tff(6275,plain,
% 4.63/3.41 (succ(s131, s132) <=> succ(s131, s132)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6276,axiom,(succ(s131, s132)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound132')).
% 4.63/3.41 tff(6277,plain,
% 4.63/3.41 (succ(s131, s132)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6276, 6275])).
% 4.63/3.41 tff(6278,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6279,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s131, s132)) | trans(s131, s132))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6280,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s131, s132)) | trans(s131, s132)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6279, 6278])).
% 4.63/3.41 tff(6281,plain,
% 4.63/3.41 (trans(s131, s132)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6280, 6277, 46])).
% 4.63/3.41 tff(6282,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s131, s132)) | (~always3(s131)) | always3(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s131, s132)) | (~always3(s131)) | always3(s132))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6283,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s131, s132)) | (~always3(s131)) | always3(s132))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6284,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s131, s132)) | (~always3(s131)) | always3(s132)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6283, 6282])).
% 4.63/3.41 tff(6285,plain,
% 4.63/3.41 ((~always3(s131)) | always3(s132)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6284, 63, 6281])).
% 4.63/3.41 tff(6286,plain,
% 4.63/3.41 (~always3(s131)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6285, 6274])).
% 4.63/3.41 tff(6287,plain,
% 4.63/3.41 (succ(s130, s131) <=> succ(s130, s131)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6288,axiom,(succ(s130, s131)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound131')).
% 4.63/3.41 tff(6289,plain,
% 4.63/3.41 (succ(s130, s131)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6288, 6287])).
% 4.63/3.41 tff(6290,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6291,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s130, s131)) | trans(s130, s131))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6292,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s130, s131)) | trans(s130, s131)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6291, 6290])).
% 4.63/3.41 tff(6293,plain,
% 4.63/3.41 (trans(s130, s131)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6292, 6289, 46])).
% 4.63/3.41 tff(6294,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s130, s131)) | (~always3(s130)) | always3(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s130, s131)) | (~always3(s130)) | always3(s131))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6295,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s130, s131)) | (~always3(s130)) | always3(s131))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6296,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s130, s131)) | (~always3(s130)) | always3(s131)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6295, 6294])).
% 4.63/3.41 tff(6297,plain,
% 4.63/3.41 ((~always3(s130)) | always3(s131)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6296, 63, 6293])).
% 4.63/3.41 tff(6298,plain,
% 4.63/3.41 (~always3(s130)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6297, 6286])).
% 4.63/3.41 tff(6299,plain,
% 4.63/3.41 (succ(s129, s130) <=> succ(s129, s130)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6300,axiom,(succ(s129, s130)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound130')).
% 4.63/3.41 tff(6301,plain,
% 4.63/3.41 (succ(s129, s130)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6300, 6299])).
% 4.63/3.41 tff(6302,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6303,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s129, s130)) | trans(s129, s130))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6304,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s129, s130)) | trans(s129, s130)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6303, 6302])).
% 4.63/3.41 tff(6305,plain,
% 4.63/3.41 (trans(s129, s130)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6304, 6301, 46])).
% 4.63/3.41 tff(6306,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s129, s130)) | (~always3(s129)) | always3(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s129, s130)) | (~always3(s129)) | always3(s130))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6307,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s129, s130)) | (~always3(s129)) | always3(s130))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6308,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s129, s130)) | (~always3(s129)) | always3(s130)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6307, 6306])).
% 4.63/3.41 tff(6309,plain,
% 4.63/3.41 ((~always3(s129)) | always3(s130)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6308, 63, 6305])).
% 4.63/3.41 tff(6310,plain,
% 4.63/3.41 (~always3(s129)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6309, 6298])).
% 4.63/3.41 tff(6311,plain,
% 4.63/3.41 (succ(s128, s129) <=> succ(s128, s129)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6312,axiom,(succ(s128, s129)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound129')).
% 4.63/3.41 tff(6313,plain,
% 4.63/3.41 (succ(s128, s129)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6312, 6311])).
% 4.63/3.41 tff(6314,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6315,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s128, s129)) | trans(s128, s129))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6316,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s128, s129)) | trans(s128, s129)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6315, 6314])).
% 4.63/3.41 tff(6317,plain,
% 4.63/3.41 (trans(s128, s129)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6316, 6313, 46])).
% 4.63/3.41 tff(6318,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s128, s129)) | (~always3(s128)) | always3(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s128, s129)) | (~always3(s128)) | always3(s129))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6319,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s128, s129)) | (~always3(s128)) | always3(s129))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6320,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s128, s129)) | (~always3(s128)) | always3(s129)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 4.63/3.41 tff(6321,plain,
% 4.63/3.41 ((~always3(s128)) | always3(s129)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6320, 63, 6317])).
% 4.63/3.41 tff(6322,plain,
% 4.63/3.41 (~always3(s128)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6321, 6310])).
% 4.63/3.41 tff(6323,plain,
% 4.63/3.41 (succ(s127, s128) <=> succ(s127, s128)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6324,axiom,(succ(s127, s128)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound128')).
% 4.63/3.41 tff(6325,plain,
% 4.63/3.41 (succ(s127, s128)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6324, 6323])).
% 4.63/3.41 tff(6326,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6327,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s127, s128)) | trans(s127, s128))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6328,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s127, s128)) | trans(s127, s128)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6327, 6326])).
% 4.63/3.41 tff(6329,plain,
% 4.63/3.41 (trans(s127, s128)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6328, 6325, 46])).
% 4.63/3.41 tff(6330,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s127, s128)) | (~always3(s127)) | always3(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s127, s128)) | (~always3(s127)) | always3(s128))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6331,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s127, s128)) | (~always3(s127)) | always3(s128))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6332,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s127, s128)) | (~always3(s127)) | always3(s128)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6331, 6330])).
% 4.63/3.41 tff(6333,plain,
% 4.63/3.41 ((~always3(s127)) | always3(s128)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6332, 63, 6329])).
% 4.63/3.41 tff(6334,plain,
% 4.63/3.41 (~always3(s127)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6333, 6322])).
% 4.63/3.41 tff(6335,plain,
% 4.63/3.41 (succ(s126, s127) <=> succ(s126, s127)),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6336,axiom,(succ(s126, s127)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound127')).
% 4.63/3.41 tff(6337,plain,
% 4.63/3.41 (succ(s126, s127)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6336, 6335])).
% 4.63/3.41 tff(6338,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127))),
% 4.63/3.41 inference(rewrite,[status(thm)],[])).
% 4.63/3.41 tff(6339,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s126, s127)) | trans(s126, s127))),
% 4.63/3.41 inference(quant_inst,[status(thm)],[])).
% 4.63/3.41 tff(6340,plain,
% 4.63/3.41 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s126, s127)) | trans(s126, s127)),
% 4.63/3.41 inference(modus_ponens,[status(thm)],[6339, 6338])).
% 4.63/3.41 tff(6341,plain,
% 4.63/3.41 (trans(s126, s127)),
% 4.63/3.41 inference(unit_resolution,[status(thm)],[6340, 6337, 46])).
% 4.63/3.41 tff(6342,plain,
% 4.63/3.41 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s126, s127)) | (~always3(s126)) | always3(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s126, s127)) | (~always3(s126)) | always3(s127))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6343,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s126, s127)) | (~always3(s126)) | always3(s127))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6344,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s126, s127)) | (~always3(s126)) | always3(s127)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6343, 6342])).
% 4.63/3.42 tff(6345,plain,
% 4.63/3.42 ((~always3(s126)) | always3(s127)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6344, 63, 6341])).
% 4.63/3.42 tff(6346,plain,
% 4.63/3.42 (~always3(s126)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6345, 6334])).
% 4.63/3.42 tff(6347,plain,
% 4.63/3.42 (succ(s125, s126) <=> succ(s125, s126)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6348,axiom,(succ(s125, s126)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound126')).
% 4.63/3.42 tff(6349,plain,
% 4.63/3.42 (succ(s125, s126)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6348, 6347])).
% 4.63/3.42 tff(6350,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6351,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s125, s126)) | trans(s125, s126))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6352,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s125, s126)) | trans(s125, s126)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6351, 6350])).
% 4.63/3.42 tff(6353,plain,
% 4.63/3.42 (trans(s125, s126)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6352, 6349, 46])).
% 4.63/3.42 tff(6354,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s125, s126)) | (~always3(s125)) | always3(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s125, s126)) | (~always3(s125)) | always3(s126))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6355,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s125, s126)) | (~always3(s125)) | always3(s126))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6356,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s125, s126)) | (~always3(s125)) | always3(s126)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6355, 6354])).
% 4.63/3.42 tff(6357,plain,
% 4.63/3.42 ((~always3(s125)) | always3(s126)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6356, 63, 6353])).
% 4.63/3.42 tff(6358,plain,
% 4.63/3.42 (~always3(s125)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6357, 6346])).
% 4.63/3.42 tff(6359,plain,
% 4.63/3.42 (succ(s124, s125) <=> succ(s124, s125)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6360,axiom,(succ(s124, s125)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound125')).
% 4.63/3.42 tff(6361,plain,
% 4.63/3.42 (succ(s124, s125)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6360, 6359])).
% 4.63/3.42 tff(6362,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6363,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s124, s125)) | trans(s124, s125))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6364,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s124, s125)) | trans(s124, s125)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6363, 6362])).
% 4.63/3.42 tff(6365,plain,
% 4.63/3.42 (trans(s124, s125)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6364, 6361, 46])).
% 4.63/3.42 tff(6366,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s124, s125)) | (~always3(s124)) | always3(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s124, s125)) | (~always3(s124)) | always3(s125))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6367,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s124, s125)) | (~always3(s124)) | always3(s125))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6368,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s124, s125)) | (~always3(s124)) | always3(s125)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6367, 6366])).
% 4.63/3.42 tff(6369,plain,
% 4.63/3.42 ((~always3(s124)) | always3(s125)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6368, 63, 6365])).
% 4.63/3.42 tff(6370,plain,
% 4.63/3.42 (~always3(s124)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6369, 6358])).
% 4.63/3.42 tff(6371,plain,
% 4.63/3.42 (succ(s123, s124) <=> succ(s123, s124)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6372,axiom,(succ(s123, s124)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound124')).
% 4.63/3.42 tff(6373,plain,
% 4.63/3.42 (succ(s123, s124)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6372, 6371])).
% 4.63/3.42 tff(6374,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6375,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s123, s124)) | trans(s123, s124))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6376,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s123, s124)) | trans(s123, s124)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 4.63/3.42 tff(6377,plain,
% 4.63/3.42 (trans(s123, s124)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6376, 6373, 46])).
% 4.63/3.42 tff(6378,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s123, s124)) | (~always3(s123)) | always3(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s123, s124)) | (~always3(s123)) | always3(s124))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6379,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s123, s124)) | (~always3(s123)) | always3(s124))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6380,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s123, s124)) | (~always3(s123)) | always3(s124)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 4.63/3.42 tff(6381,plain,
% 4.63/3.42 ((~always3(s123)) | always3(s124)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6380, 63, 6377])).
% 4.63/3.42 tff(6382,plain,
% 4.63/3.42 (~always3(s123)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6381, 6370])).
% 4.63/3.42 tff(6383,plain,
% 4.63/3.42 (succ(s122, s123) <=> succ(s122, s123)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6384,axiom,(succ(s122, s123)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound123')).
% 4.63/3.42 tff(6385,plain,
% 4.63/3.42 (succ(s122, s123)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6384, 6383])).
% 4.63/3.42 tff(6386,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6387,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s122, s123)) | trans(s122, s123))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6388,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s122, s123)) | trans(s122, s123)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 4.63/3.42 tff(6389,plain,
% 4.63/3.42 (trans(s122, s123)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6388, 6385, 46])).
% 4.63/3.42 tff(6390,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s122, s123)) | (~always3(s122)) | always3(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s122, s123)) | (~always3(s122)) | always3(s123))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6391,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s122, s123)) | (~always3(s122)) | always3(s123))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6392,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s122, s123)) | (~always3(s122)) | always3(s123)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 4.63/3.42 tff(6393,plain,
% 4.63/3.42 ((~always3(s122)) | always3(s123)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6392, 63, 6389])).
% 4.63/3.42 tff(6394,plain,
% 4.63/3.42 (~always3(s122)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6393, 6382])).
% 4.63/3.42 tff(6395,plain,
% 4.63/3.42 (succ(s121, s122) <=> succ(s121, s122)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6396,axiom,(succ(s121, s122)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound122')).
% 4.63/3.42 tff(6397,plain,
% 4.63/3.42 (succ(s121, s122)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6396, 6395])).
% 4.63/3.42 tff(6398,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6399,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s121, s122)) | trans(s121, s122))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6400,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s121, s122)) | trans(s121, s122)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6399, 6398])).
% 4.63/3.42 tff(6401,plain,
% 4.63/3.42 (trans(s121, s122)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6400, 6397, 46])).
% 4.63/3.42 tff(6402,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s121, s122)) | (~always3(s121)) | always3(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s121, s122)) | (~always3(s121)) | always3(s122))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6403,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s121, s122)) | (~always3(s121)) | always3(s122))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6404,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s121, s122)) | (~always3(s121)) | always3(s122)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6403, 6402])).
% 4.63/3.42 tff(6405,plain,
% 4.63/3.42 ((~always3(s121)) | always3(s122)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6404, 63, 6401])).
% 4.63/3.42 tff(6406,plain,
% 4.63/3.42 (~always3(s121)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6405, 6394])).
% 4.63/3.42 tff(6407,plain,
% 4.63/3.42 (succ(s120, s121) <=> succ(s120, s121)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6408,axiom,(succ(s120, s121)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound121')).
% 4.63/3.42 tff(6409,plain,
% 4.63/3.42 (succ(s120, s121)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6408, 6407])).
% 4.63/3.42 tff(6410,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6411,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s120, s121)) | trans(s120, s121))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6412,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s120, s121)) | trans(s120, s121)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6411, 6410])).
% 4.63/3.42 tff(6413,plain,
% 4.63/3.42 (trans(s120, s121)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6412, 6409, 46])).
% 4.63/3.42 tff(6414,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s120, s121)) | (~always3(s120)) | always3(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s120, s121)) | (~always3(s120)) | always3(s121))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6415,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s120, s121)) | (~always3(s120)) | always3(s121))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6416,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s120, s121)) | (~always3(s120)) | always3(s121)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6415, 6414])).
% 4.63/3.42 tff(6417,plain,
% 4.63/3.42 ((~always3(s120)) | always3(s121)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6416, 63, 6413])).
% 4.63/3.42 tff(6418,plain,
% 4.63/3.42 (~always3(s120)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6417, 6406])).
% 4.63/3.42 tff(6419,plain,
% 4.63/3.42 (succ(s119, s120) <=> succ(s119, s120)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6420,axiom,(succ(s119, s120)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound120')).
% 4.63/3.42 tff(6421,plain,
% 4.63/3.42 (succ(s119, s120)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6420, 6419])).
% 4.63/3.42 tff(6422,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6423,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s119, s120)) | trans(s119, s120))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6424,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s119, s120)) | trans(s119, s120)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6423, 6422])).
% 4.63/3.42 tff(6425,plain,
% 4.63/3.42 (trans(s119, s120)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6424, 6421, 46])).
% 4.63/3.42 tff(6426,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s119, s120)) | (~always3(s119)) | always3(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s119, s120)) | (~always3(s119)) | always3(s120))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6427,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s119, s120)) | (~always3(s119)) | always3(s120))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6428,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s119, s120)) | (~always3(s119)) | always3(s120)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6427, 6426])).
% 4.63/3.42 tff(6429,plain,
% 4.63/3.42 ((~always3(s119)) | always3(s120)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6428, 63, 6425])).
% 4.63/3.42 tff(6430,plain,
% 4.63/3.42 (~always3(s119)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6429, 6418])).
% 4.63/3.42 tff(6431,plain,
% 4.63/3.42 (succ(s118, s119) <=> succ(s118, s119)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6432,axiom,(succ(s118, s119)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound119')).
% 4.63/3.42 tff(6433,plain,
% 4.63/3.42 (succ(s118, s119)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6432, 6431])).
% 4.63/3.42 tff(6434,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6435,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s118, s119)) | trans(s118, s119))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6436,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s118, s119)) | trans(s118, s119)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6435, 6434])).
% 4.63/3.42 tff(6437,plain,
% 4.63/3.42 (trans(s118, s119)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6436, 6433, 46])).
% 4.63/3.42 tff(6438,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s118, s119)) | (~always3(s118)) | always3(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s118, s119)) | (~always3(s118)) | always3(s119))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6439,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s118, s119)) | (~always3(s118)) | always3(s119))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6440,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s118, s119)) | (~always3(s118)) | always3(s119)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6439, 6438])).
% 4.63/3.42 tff(6441,plain,
% 4.63/3.42 ((~always3(s118)) | always3(s119)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6440, 63, 6437])).
% 4.63/3.42 tff(6442,plain,
% 4.63/3.42 (~always3(s118)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6441, 6430])).
% 4.63/3.42 tff(6443,plain,
% 4.63/3.42 (succ(s117, s118) <=> succ(s117, s118)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6444,axiom,(succ(s117, s118)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound118')).
% 4.63/3.42 tff(6445,plain,
% 4.63/3.42 (succ(s117, s118)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6444, 6443])).
% 4.63/3.42 tff(6446,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6447,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s117, s118)) | trans(s117, s118))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6448,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s117, s118)) | trans(s117, s118)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6447, 6446])).
% 4.63/3.42 tff(6449,plain,
% 4.63/3.42 (trans(s117, s118)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6448, 6445, 46])).
% 4.63/3.42 tff(6450,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s117, s118)) | (~always3(s117)) | always3(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s117, s118)) | (~always3(s117)) | always3(s118))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6451,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s117, s118)) | (~always3(s117)) | always3(s118))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6452,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s117, s118)) | (~always3(s117)) | always3(s118)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6451, 6450])).
% 4.63/3.42 tff(6453,plain,
% 4.63/3.42 ((~always3(s117)) | always3(s118)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6452, 63, 6449])).
% 4.63/3.42 tff(6454,plain,
% 4.63/3.42 (~always3(s117)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6453, 6442])).
% 4.63/3.42 tff(6455,plain,
% 4.63/3.42 (succ(s116, s117) <=> succ(s116, s117)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6456,axiom,(succ(s116, s117)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound117')).
% 4.63/3.42 tff(6457,plain,
% 4.63/3.42 (succ(s116, s117)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6456, 6455])).
% 4.63/3.42 tff(6458,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6459,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s116, s117)) | trans(s116, s117))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6460,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s116, s117)) | trans(s116, s117)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6459, 6458])).
% 4.63/3.42 tff(6461,plain,
% 4.63/3.42 (trans(s116, s117)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6460, 6457, 46])).
% 4.63/3.42 tff(6462,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s116, s117)) | (~always3(s116)) | always3(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s116, s117)) | (~always3(s116)) | always3(s117))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6463,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s116, s117)) | (~always3(s116)) | always3(s117))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6464,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s116, s117)) | (~always3(s116)) | always3(s117)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6463, 6462])).
% 4.63/3.42 tff(6465,plain,
% 4.63/3.42 ((~always3(s116)) | always3(s117)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6464, 63, 6461])).
% 4.63/3.42 tff(6466,plain,
% 4.63/3.42 (~always3(s116)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6465, 6454])).
% 4.63/3.42 tff(6467,plain,
% 4.63/3.42 (succ(s115, s116) <=> succ(s115, s116)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6468,axiom,(succ(s115, s116)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound116')).
% 4.63/3.42 tff(6469,plain,
% 4.63/3.42 (succ(s115, s116)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6468, 6467])).
% 4.63/3.42 tff(6470,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6471,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s115, s116)) | trans(s115, s116))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6472,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s115, s116)) | trans(s115, s116)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 4.63/3.42 tff(6473,plain,
% 4.63/3.42 (trans(s115, s116)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6472, 6469, 46])).
% 4.63/3.42 tff(6474,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s115, s116)) | (~always3(s115)) | always3(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s115, s116)) | (~always3(s115)) | always3(s116))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6475,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s115, s116)) | (~always3(s115)) | always3(s116))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6476,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s115, s116)) | (~always3(s115)) | always3(s116)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6475, 6474])).
% 4.63/3.42 tff(6477,plain,
% 4.63/3.42 ((~always3(s115)) | always3(s116)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6476, 63, 6473])).
% 4.63/3.42 tff(6478,plain,
% 4.63/3.42 (~always3(s115)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6477, 6466])).
% 4.63/3.42 tff(6479,plain,
% 4.63/3.42 (succ(s114, s115) <=> succ(s114, s115)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6480,axiom,(succ(s114, s115)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound115')).
% 4.63/3.42 tff(6481,plain,
% 4.63/3.42 (succ(s114, s115)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6480, 6479])).
% 4.63/3.42 tff(6482,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6483,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s114, s115)) | trans(s114, s115))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6484,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s114, s115)) | trans(s114, s115)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6483, 6482])).
% 4.63/3.42 tff(6485,plain,
% 4.63/3.42 (trans(s114, s115)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6484, 6481, 46])).
% 4.63/3.42 tff(6486,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s114, s115)) | (~always3(s114)) | always3(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s114, s115)) | (~always3(s114)) | always3(s115))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6487,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s114, s115)) | (~always3(s114)) | always3(s115))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6488,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s114, s115)) | (~always3(s114)) | always3(s115)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6487, 6486])).
% 4.63/3.42 tff(6489,plain,
% 4.63/3.42 ((~always3(s114)) | always3(s115)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6488, 63, 6485])).
% 4.63/3.42 tff(6490,plain,
% 4.63/3.42 (~always3(s114)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6489, 6478])).
% 4.63/3.42 tff(6491,plain,
% 4.63/3.42 (succ(s113, s114) <=> succ(s113, s114)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6492,axiom,(succ(s113, s114)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound114')).
% 4.63/3.42 tff(6493,plain,
% 4.63/3.42 (succ(s113, s114)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6492, 6491])).
% 4.63/3.42 tff(6494,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6495,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s113, s114)) | trans(s113, s114))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6496,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s113, s114)) | trans(s113, s114)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6495, 6494])).
% 4.63/3.42 tff(6497,plain,
% 4.63/3.42 (trans(s113, s114)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6496, 6493, 46])).
% 4.63/3.42 tff(6498,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s113, s114)) | (~always3(s113)) | always3(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s113, s114)) | (~always3(s113)) | always3(s114))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6499,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s113, s114)) | (~always3(s113)) | always3(s114))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6500,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s113, s114)) | (~always3(s113)) | always3(s114)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6499, 6498])).
% 4.63/3.42 tff(6501,plain,
% 4.63/3.42 ((~always3(s113)) | always3(s114)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6500, 63, 6497])).
% 4.63/3.42 tff(6502,plain,
% 4.63/3.42 (~always3(s113)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6501, 6490])).
% 4.63/3.42 tff(6503,plain,
% 4.63/3.42 (succ(s112, s113) <=> succ(s112, s113)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6504,axiom,(succ(s112, s113)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound113')).
% 4.63/3.42 tff(6505,plain,
% 4.63/3.42 (succ(s112, s113)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6504, 6503])).
% 4.63/3.42 tff(6506,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6507,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s112, s113)) | trans(s112, s113))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6508,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s112, s113)) | trans(s112, s113)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6507, 6506])).
% 4.63/3.42 tff(6509,plain,
% 4.63/3.42 (trans(s112, s113)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6508, 6505, 46])).
% 4.63/3.42 tff(6510,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s112, s113)) | (~always3(s112)) | always3(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s112, s113)) | (~always3(s112)) | always3(s113))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6511,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s112, s113)) | (~always3(s112)) | always3(s113))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6512,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s112, s113)) | (~always3(s112)) | always3(s113)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6511, 6510])).
% 4.63/3.42 tff(6513,plain,
% 4.63/3.42 ((~always3(s112)) | always3(s113)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6512, 63, 6509])).
% 4.63/3.42 tff(6514,plain,
% 4.63/3.42 (~always3(s112)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6513, 6502])).
% 4.63/3.42 tff(6515,plain,
% 4.63/3.42 (succ(s111, s112) <=> succ(s111, s112)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6516,axiom,(succ(s111, s112)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound112')).
% 4.63/3.42 tff(6517,plain,
% 4.63/3.42 (succ(s111, s112)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6516, 6515])).
% 4.63/3.42 tff(6518,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6519,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s111, s112)) | trans(s111, s112))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6520,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s111, s112)) | trans(s111, s112)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6519, 6518])).
% 4.63/3.42 tff(6521,plain,
% 4.63/3.42 (trans(s111, s112)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6520, 6517, 46])).
% 4.63/3.42 tff(6522,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s111, s112)) | (~always3(s111)) | always3(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s111, s112)) | (~always3(s111)) | always3(s112))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6523,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s111, s112)) | (~always3(s111)) | always3(s112))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6524,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s111, s112)) | (~always3(s111)) | always3(s112)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6523, 6522])).
% 4.63/3.42 tff(6525,plain,
% 4.63/3.42 ((~always3(s111)) | always3(s112)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6524, 63, 6521])).
% 4.63/3.42 tff(6526,plain,
% 4.63/3.42 (~always3(s111)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6525, 6514])).
% 4.63/3.42 tff(6527,plain,
% 4.63/3.42 (succ(s110, s111) <=> succ(s110, s111)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6528,axiom,(succ(s110, s111)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound111')).
% 4.63/3.42 tff(6529,plain,
% 4.63/3.42 (succ(s110, s111)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 4.63/3.42 tff(6530,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6531,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s110, s111)) | trans(s110, s111))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6532,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s110, s111)) | trans(s110, s111)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6531, 6530])).
% 4.63/3.42 tff(6533,plain,
% 4.63/3.42 (trans(s110, s111)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6532, 6529, 46])).
% 4.63/3.42 tff(6534,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s110, s111)) | (~always3(s110)) | always3(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s110, s111)) | (~always3(s110)) | always3(s111))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6535,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s110, s111)) | (~always3(s110)) | always3(s111))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.42 tff(6536,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s110, s111)) | (~always3(s110)) | always3(s111)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 4.63/3.42 tff(6537,plain,
% 4.63/3.42 ((~always3(s110)) | always3(s111)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6536, 63, 6533])).
% 4.63/3.42 tff(6538,plain,
% 4.63/3.42 (~always3(s110)),
% 4.63/3.42 inference(unit_resolution,[status(thm)],[6537, 6526])).
% 4.63/3.42 tff(6539,plain,
% 4.63/3.42 (succ(s109, s110) <=> succ(s109, s110)),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6540,axiom,(succ(s109, s110)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound110')).
% 4.63/3.42 tff(6541,plain,
% 4.63/3.42 (succ(s109, s110)),
% 4.63/3.42 inference(modus_ponens,[status(thm)],[6540, 6539])).
% 4.63/3.42 tff(6542,plain,
% 4.63/3.42 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110))),
% 4.63/3.42 inference(rewrite,[status(thm)],[])).
% 4.63/3.42 tff(6543,plain,
% 4.63/3.42 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s109, s110)) | trans(s109, s110))),
% 4.63/3.42 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6544,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s109, s110)) | trans(s109, s110)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6543, 6542])).
% 4.63/3.43 tff(6545,plain,
% 4.63/3.43 (trans(s109, s110)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6544, 6541, 46])).
% 4.63/3.43 tff(6546,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s109, s110)) | (~always3(s109)) | always3(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s109, s110)) | (~always3(s109)) | always3(s110))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6547,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s109, s110)) | (~always3(s109)) | always3(s110))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6548,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s109, s110)) | (~always3(s109)) | always3(s110)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6547, 6546])).
% 4.63/3.43 tff(6549,plain,
% 4.63/3.43 ((~always3(s109)) | always3(s110)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6548, 63, 6545])).
% 4.63/3.43 tff(6550,plain,
% 4.63/3.43 (~always3(s109)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6549, 6538])).
% 4.63/3.43 tff(6551,plain,
% 4.63/3.43 (succ(s108, s109) <=> succ(s108, s109)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6552,axiom,(succ(s108, s109)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound109')).
% 4.63/3.43 tff(6553,plain,
% 4.63/3.43 (succ(s108, s109)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6552, 6551])).
% 4.63/3.43 tff(6554,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6555,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s108, s109)) | trans(s108, s109))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6556,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s108, s109)) | trans(s108, s109)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 4.63/3.43 tff(6557,plain,
% 4.63/3.43 (trans(s108, s109)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6556, 6553, 46])).
% 4.63/3.43 tff(6558,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s108, s109)) | (~always3(s108)) | always3(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s108, s109)) | (~always3(s108)) | always3(s109))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6559,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s108, s109)) | (~always3(s108)) | always3(s109))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6560,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s108, s109)) | (~always3(s108)) | always3(s109)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6559, 6558])).
% 4.63/3.43 tff(6561,plain,
% 4.63/3.43 ((~always3(s108)) | always3(s109)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6560, 63, 6557])).
% 4.63/3.43 tff(6562,plain,
% 4.63/3.43 (~always3(s108)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6561, 6550])).
% 4.63/3.43 tff(6563,plain,
% 4.63/3.43 (succ(s107, s108) <=> succ(s107, s108)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6564,axiom,(succ(s107, s108)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound108')).
% 4.63/3.43 tff(6565,plain,
% 4.63/3.43 (succ(s107, s108)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6564, 6563])).
% 4.63/3.43 tff(6566,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6567,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s107, s108)) | trans(s107, s108))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6568,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s107, s108)) | trans(s107, s108)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 4.63/3.43 tff(6569,plain,
% 4.63/3.43 (trans(s107, s108)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6568, 6565, 46])).
% 4.63/3.43 tff(6570,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s107, s108)) | (~always3(s107)) | always3(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s107, s108)) | (~always3(s107)) | always3(s108))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6571,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s107, s108)) | (~always3(s107)) | always3(s108))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6572,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s107, s108)) | (~always3(s107)) | always3(s108)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6571, 6570])).
% 4.63/3.43 tff(6573,plain,
% 4.63/3.43 ((~always3(s107)) | always3(s108)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6572, 63, 6569])).
% 4.63/3.43 tff(6574,plain,
% 4.63/3.43 (~always3(s107)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6573, 6562])).
% 4.63/3.43 tff(6575,plain,
% 4.63/3.43 (succ(s106, s107) <=> succ(s106, s107)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6576,axiom,(succ(s106, s107)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound107')).
% 4.63/3.43 tff(6577,plain,
% 4.63/3.43 (succ(s106, s107)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6576, 6575])).
% 4.63/3.43 tff(6578,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6579,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s106, s107)) | trans(s106, s107))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6580,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s106, s107)) | trans(s106, s107)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6579, 6578])).
% 4.63/3.43 tff(6581,plain,
% 4.63/3.43 (trans(s106, s107)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6580, 6577, 46])).
% 4.63/3.43 tff(6582,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s106, s107)) | (~always3(s106)) | always3(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s106, s107)) | (~always3(s106)) | always3(s107))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6583,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s106, s107)) | (~always3(s106)) | always3(s107))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6584,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s106, s107)) | (~always3(s106)) | always3(s107)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6583, 6582])).
% 4.63/3.43 tff(6585,plain,
% 4.63/3.43 ((~always3(s106)) | always3(s107)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6584, 63, 6581])).
% 4.63/3.43 tff(6586,plain,
% 4.63/3.43 (~always3(s106)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6585, 6574])).
% 4.63/3.43 tff(6587,plain,
% 4.63/3.43 (succ(s105, s106) <=> succ(s105, s106)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6588,axiom,(succ(s105, s106)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound106')).
% 4.63/3.43 tff(6589,plain,
% 4.63/3.43 (succ(s105, s106)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6588, 6587])).
% 4.63/3.43 tff(6590,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6591,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s105, s106)) | trans(s105, s106))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6592,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s105, s106)) | trans(s105, s106)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6591, 6590])).
% 4.63/3.43 tff(6593,plain,
% 4.63/3.43 (trans(s105, s106)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6592, 6589, 46])).
% 4.63/3.43 tff(6594,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s105, s106)) | (~always3(s105)) | always3(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s105, s106)) | (~always3(s105)) | always3(s106))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6595,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s105, s106)) | (~always3(s105)) | always3(s106))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6596,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s105, s106)) | (~always3(s105)) | always3(s106)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6595, 6594])).
% 4.63/3.43 tff(6597,plain,
% 4.63/3.43 ((~always3(s105)) | always3(s106)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6596, 63, 6593])).
% 4.63/3.43 tff(6598,plain,
% 4.63/3.43 (~always3(s105)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6597, 6586])).
% 4.63/3.43 tff(6599,plain,
% 4.63/3.43 (succ(s104, s105) <=> succ(s104, s105)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6600,axiom,(succ(s104, s105)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound105')).
% 4.63/3.43 tff(6601,plain,
% 4.63/3.43 (succ(s104, s105)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6600, 6599])).
% 4.63/3.43 tff(6602,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6603,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s104, s105)) | trans(s104, s105))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6604,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s104, s105)) | trans(s104, s105)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6603, 6602])).
% 4.63/3.43 tff(6605,plain,
% 4.63/3.43 (trans(s104, s105)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6604, 6601, 46])).
% 4.63/3.43 tff(6606,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s104, s105)) | (~always3(s104)) | always3(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s104, s105)) | (~always3(s104)) | always3(s105))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6607,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s104, s105)) | (~always3(s104)) | always3(s105))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6608,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s104, s105)) | (~always3(s104)) | always3(s105)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6607, 6606])).
% 4.63/3.43 tff(6609,plain,
% 4.63/3.43 ((~always3(s104)) | always3(s105)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6608, 63, 6605])).
% 4.63/3.43 tff(6610,plain,
% 4.63/3.43 (~always3(s104)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6609, 6598])).
% 4.63/3.43 tff(6611,plain,
% 4.63/3.43 (succ(s103, s104) <=> succ(s103, s104)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6612,axiom,(succ(s103, s104)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound104')).
% 4.63/3.43 tff(6613,plain,
% 4.63/3.43 (succ(s103, s104)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6612, 6611])).
% 4.63/3.43 tff(6614,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6615,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s103, s104)) | trans(s103, s104))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6616,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s103, s104)) | trans(s103, s104)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6615, 6614])).
% 4.63/3.43 tff(6617,plain,
% 4.63/3.43 (trans(s103, s104)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6616, 6613, 46])).
% 4.63/3.43 tff(6618,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s103, s104)) | (~always3(s103)) | always3(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s103, s104)) | (~always3(s103)) | always3(s104))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6619,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s103, s104)) | (~always3(s103)) | always3(s104))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6620,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s103, s104)) | (~always3(s103)) | always3(s104)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6619, 6618])).
% 4.63/3.43 tff(6621,plain,
% 4.63/3.43 ((~always3(s103)) | always3(s104)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6620, 63, 6617])).
% 4.63/3.43 tff(6622,plain,
% 4.63/3.43 (~always3(s103)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6621, 6610])).
% 4.63/3.43 tff(6623,plain,
% 4.63/3.43 (succ(s102, s103) <=> succ(s102, s103)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6624,axiom,(succ(s102, s103)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound103')).
% 4.63/3.43 tff(6625,plain,
% 4.63/3.43 (succ(s102, s103)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6624, 6623])).
% 4.63/3.43 tff(6626,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6627,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s102, s103)) | trans(s102, s103))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6628,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s102, s103)) | trans(s102, s103)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6627, 6626])).
% 4.63/3.43 tff(6629,plain,
% 4.63/3.43 (trans(s102, s103)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6628, 6625, 46])).
% 4.63/3.43 tff(6630,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s102, s103)) | (~always3(s102)) | always3(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s102, s103)) | (~always3(s102)) | always3(s103))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6631,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s102, s103)) | (~always3(s102)) | always3(s103))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6632,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s102, s103)) | (~always3(s102)) | always3(s103)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6631, 6630])).
% 4.63/3.43 tff(6633,plain,
% 4.63/3.43 ((~always3(s102)) | always3(s103)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6632, 63, 6629])).
% 4.63/3.43 tff(6634,plain,
% 4.63/3.43 (~always3(s102)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6633, 6622])).
% 4.63/3.43 tff(6635,plain,
% 4.63/3.43 (succ(s101, s102) <=> succ(s101, s102)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6636,axiom,(succ(s101, s102)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound102')).
% 4.63/3.43 tff(6637,plain,
% 4.63/3.43 (succ(s101, s102)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6636, 6635])).
% 4.63/3.43 tff(6638,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6639,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s101, s102)) | trans(s101, s102))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6640,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s101, s102)) | trans(s101, s102)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6639, 6638])).
% 4.63/3.43 tff(6641,plain,
% 4.63/3.43 (trans(s101, s102)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6640, 6637, 46])).
% 4.63/3.43 tff(6642,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s101, s102)) | (~always3(s101)) | always3(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s101, s102)) | (~always3(s101)) | always3(s102))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6643,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s101, s102)) | (~always3(s101)) | always3(s102))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6644,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s101, s102)) | (~always3(s101)) | always3(s102)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6643, 6642])).
% 4.63/3.43 tff(6645,plain,
% 4.63/3.43 ((~always3(s101)) | always3(s102)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6644, 63, 6641])).
% 4.63/3.43 tff(6646,plain,
% 4.63/3.43 (~always3(s101)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6645, 6634])).
% 4.63/3.43 tff(6647,plain,
% 4.63/3.43 (succ(s100, s101) <=> succ(s100, s101)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6648,axiom,(succ(s100, s101)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound101')).
% 4.63/3.43 tff(6649,plain,
% 4.63/3.43 (succ(s100, s101)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6648, 6647])).
% 4.63/3.43 tff(6650,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6651,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s100, s101)) | trans(s100, s101))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6652,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s100, s101)) | trans(s100, s101)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6651, 6650])).
% 4.63/3.43 tff(6653,plain,
% 4.63/3.43 (trans(s100, s101)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6652, 6649, 46])).
% 4.63/3.43 tff(6654,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s100, s101)) | (~always3(s100)) | always3(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s100, s101)) | (~always3(s100)) | always3(s101))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6655,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s100, s101)) | (~always3(s100)) | always3(s101))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6656,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s100, s101)) | (~always3(s100)) | always3(s101)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6655, 6654])).
% 4.63/3.43 tff(6657,plain,
% 4.63/3.43 ((~always3(s100)) | always3(s101)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6656, 63, 6653])).
% 4.63/3.43 tff(6658,plain,
% 4.63/3.43 (~always3(s100)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6657, 6646])).
% 4.63/3.43 tff(6659,plain,
% 4.63/3.43 (succ(s99, s100) <=> succ(s99, s100)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6660,axiom,(succ(s99, s100)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound100')).
% 4.63/3.43 tff(6661,plain,
% 4.63/3.43 (succ(s99, s100)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6660, 6659])).
% 4.63/3.43 tff(6662,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6663,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s99, s100)) | trans(s99, s100))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6664,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s99, s100)) | trans(s99, s100)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6663, 6662])).
% 4.63/3.43 tff(6665,plain,
% 4.63/3.43 (trans(s99, s100)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6664, 6661, 46])).
% 4.63/3.43 tff(6666,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s100)) | (~always3(s99)) | always3(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s99, s100)) | (~always3(s99)) | always3(s100))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6667,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s99, s100)) | (~always3(s99)) | always3(s100))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6668,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s99, s100)) | (~always3(s99)) | always3(s100)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6667, 6666])).
% 4.63/3.43 tff(6669,plain,
% 4.63/3.43 ((~always3(s99)) | always3(s100)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6668, 63, 6665])).
% 4.63/3.43 tff(6670,plain,
% 4.63/3.43 (~always3(s99)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6669, 6658])).
% 4.63/3.43 tff(6671,plain,
% 4.63/3.43 (succ(s98, s99) <=> succ(s98, s99)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6672,axiom,(succ(s98, s99)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound99')).
% 4.63/3.43 tff(6673,plain,
% 4.63/3.43 (succ(s98, s99)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6672, 6671])).
% 4.63/3.43 tff(6674,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6675,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s98, s99)) | trans(s98, s99))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6676,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s98, s99)) | trans(s98, s99)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6675, 6674])).
% 4.63/3.43 tff(6677,plain,
% 4.63/3.43 (trans(s98, s99)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6676, 6673, 46])).
% 4.63/3.43 tff(6678,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s98, s99)) | (~always3(s98)) | always3(s99))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6679,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s98, s99)) | (~always3(s98)) | always3(s99))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6680,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s98, s99)) | (~always3(s98)) | always3(s99)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6679, 6678])).
% 4.63/3.43 tff(6681,plain,
% 4.63/3.43 ((~always3(s98)) | always3(s99)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6680, 63, 6677])).
% 4.63/3.43 tff(6682,plain,
% 4.63/3.43 (~always3(s98)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6681, 6670])).
% 4.63/3.43 tff(6683,plain,
% 4.63/3.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s98) | (~node4(s98)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s98) | (~node4(s98)))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6684,plain,
% 4.63/3.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s98) | (~node4(s98)))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6685,plain,
% 4.63/3.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s98) | (~node4(s98))),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6684, 6683])).
% 4.63/3.43 tff(6686,plain,
% 4.63/3.43 (~node4(s98)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6685, 35, 6682])).
% 4.63/3.43 tff(6687,plain,
% 4.63/3.43 (succ(s97, s98) <=> succ(s97, s98)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6688,axiom,(succ(s97, s98)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound98')).
% 4.63/3.43 tff(6689,plain,
% 4.63/3.43 (succ(s97, s98)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6688, 6687])).
% 4.63/3.43 tff(6690,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6691,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s97, s98)) | trans(s97, s98))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6692,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s97, s98)) | trans(s97, s98)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6691, 6690])).
% 4.63/3.43 tff(6693,plain,
% 4.63/3.43 (trans(s97, s98)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6692, 6689, 46])).
% 4.63/3.43 tff(6694,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s97, s98)) | (~always3(s97)) | always3(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s97, s98)) | (~always3(s97)) | always3(s98))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6695,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s97, s98)) | (~always3(s97)) | always3(s98))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6696,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s97, s98)) | (~always3(s97)) | always3(s98)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6695, 6694])).
% 4.63/3.43 tff(6697,plain,
% 4.63/3.43 ((~always3(s97)) | always3(s98)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6696, 63, 6693])).
% 4.63/3.43 tff(6698,plain,
% 4.63/3.43 (~always3(s97)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6697, 6682])).
% 4.63/3.43 tff(6699,plain,
% 4.63/3.43 (succ(s96, s97) <=> succ(s96, s97)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6700,axiom,(succ(s96, s97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound97')).
% 4.63/3.43 tff(6701,plain,
% 4.63/3.43 (succ(s96, s97)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6700, 6699])).
% 4.63/3.43 tff(6702,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6703,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s96, s97)) | trans(s96, s97))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6704,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s96, s97)) | trans(s96, s97)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6703, 6702])).
% 4.63/3.43 tff(6705,plain,
% 4.63/3.43 (trans(s96, s97)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6704, 6701, 46])).
% 4.63/3.43 tff(6706,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s96, s97)) | (~always3(s96)) | always3(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s96, s97)) | (~always3(s96)) | always3(s97))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6707,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s96, s97)) | (~always3(s96)) | always3(s97))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6708,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s96, s97)) | (~always3(s96)) | always3(s97)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6707, 6706])).
% 4.63/3.43 tff(6709,plain,
% 4.63/3.43 ((~always3(s96)) | always3(s97)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6708, 63, 6705])).
% 4.63/3.43 tff(6710,plain,
% 4.63/3.43 (~always3(s96)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6709, 6698])).
% 4.63/3.43 tff(6711,plain,
% 4.63/3.43 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96)))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6712,plain,
% 4.63/3.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s96) | (~node4(s96)))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6713,plain,
% 4.63/3.43 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s96) | (~node4(s96))),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6712, 6711])).
% 4.63/3.43 tff(6714,plain,
% 4.63/3.43 (~node4(s96)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6713, 35, 6710])).
% 4.63/3.43 tff(6715,plain,
% 4.63/3.43 (succ(s95, s96) <=> succ(s95, s96)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6716,axiom,(succ(s95, s96)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound96')).
% 4.63/3.43 tff(6717,plain,
% 4.63/3.43 (succ(s95, s96)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6716, 6715])).
% 4.63/3.43 tff(6718,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6719,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s95, s96)) | trans(s95, s96))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6720,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s95, s96)) | trans(s95, s96)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6719, 6718])).
% 4.63/3.43 tff(6721,plain,
% 4.63/3.43 (trans(s95, s96)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6720, 6717, 46])).
% 4.63/3.43 tff(6722,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s95, s96)) | (~always3(s95)) | always3(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s95, s96)) | (~always3(s95)) | always3(s96))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6723,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s95, s96)) | (~always3(s95)) | always3(s96))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6724,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s95, s96)) | (~always3(s95)) | always3(s96)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6723, 6722])).
% 4.63/3.43 tff(6725,plain,
% 4.63/3.43 ((~always3(s95)) | always3(s96)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6724, 63, 6721])).
% 4.63/3.43 tff(6726,plain,
% 4.63/3.43 (~always3(s95)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6725, 6710])).
% 4.63/3.43 tff(6727,plain,
% 4.63/3.43 (succ(s94, s95) <=> succ(s94, s95)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6728,axiom,(succ(s94, s95)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound95')).
% 4.63/3.43 tff(6729,plain,
% 4.63/3.43 (succ(s94, s95)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6728, 6727])).
% 4.63/3.43 tff(6730,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6731,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s94, s95)) | trans(s94, s95))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6732,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s94, s95)) | trans(s94, s95)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6731, 6730])).
% 4.63/3.43 tff(6733,plain,
% 4.63/3.43 (trans(s94, s95)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6732, 6729, 46])).
% 4.63/3.43 tff(6734,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s94, s95)) | (~always3(s94)) | always3(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s94, s95)) | (~always3(s94)) | always3(s95))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6735,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s94, s95)) | (~always3(s94)) | always3(s95))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6736,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s94, s95)) | (~always3(s94)) | always3(s95)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6735, 6734])).
% 4.63/3.43 tff(6737,plain,
% 4.63/3.43 ((~always3(s94)) | always3(s95)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6736, 63, 6733])).
% 4.63/3.43 tff(6738,plain,
% 4.63/3.43 (~always3(s94)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6737, 6726])).
% 4.63/3.43 tff(6739,plain,
% 4.63/3.43 (succ(s93, s94) <=> succ(s93, s94)),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6740,axiom,(succ(s93, s94)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound94')).
% 4.63/3.43 tff(6741,plain,
% 4.63/3.43 (succ(s93, s94)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6740, 6739])).
% 4.63/3.43 tff(6742,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.43 tff(6743,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s93, s94)) | trans(s93, s94))),
% 4.63/3.43 inference(quant_inst,[status(thm)],[])).
% 4.63/3.43 tff(6744,plain,
% 4.63/3.43 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s93, s94)) | trans(s93, s94)),
% 4.63/3.43 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 4.63/3.43 tff(6745,plain,
% 4.63/3.43 (trans(s93, s94)),
% 4.63/3.43 inference(unit_resolution,[status(thm)],[6744, 6741, 46])).
% 4.63/3.43 tff(6746,plain,
% 4.63/3.43 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s93, s94)) | (~always3(s93)) | always3(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s93, s94)) | (~always3(s93)) | always3(s94))),
% 4.63/3.43 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6747,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s93, s94)) | (~always3(s93)) | always3(s94))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6748,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s93, s94)) | (~always3(s93)) | always3(s94)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6747, 6746])).
% 4.63/3.44 tff(6749,plain,
% 4.63/3.44 ((~always3(s93)) | always3(s94)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6748, 63, 6745])).
% 4.63/3.44 tff(6750,plain,
% 4.63/3.44 (~always3(s93)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6749, 6738])).
% 4.63/3.44 tff(6751,assumption,(~always3(s93)), introduced(assumption)).
% 4.63/3.44 tff(6752,plain,
% 4.63/3.44 (succ(s92, s93) <=> succ(s92, s93)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6753,axiom,(succ(s92, s93)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound93')).
% 4.63/3.44 tff(6754,plain,
% 4.63/3.44 (succ(s92, s93)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6753, 6752])).
% 4.63/3.44 tff(6755,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6756,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s92, s93)) | trans(s92, s93))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6757,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s92, s93)) | trans(s92, s93)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6756, 6755])).
% 4.63/3.44 tff(6758,plain,
% 4.63/3.44 (trans(s92, s93)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6757, 6754, 46])).
% 4.63/3.44 tff(6759,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s92, s93)) | (~always3(s92)) | always3(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s92, s93)) | (~always3(s92)) | always3(s93))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6760,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s92, s93)) | (~always3(s92)) | always3(s93))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6761,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s92, s93)) | (~always3(s92)) | always3(s93)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6760, 6759])).
% 4.63/3.44 tff(6762,plain,
% 4.63/3.44 ((~always3(s92)) | always3(s93)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6761, 63, 6758])).
% 4.63/3.44 tff(6763,plain,
% 4.63/3.44 (~always3(s92)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6762, 6751])).
% 4.63/3.44 tff(6764,plain,
% 4.63/3.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6765,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s92) | (~node4(s92)))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6766,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s92) | (~node4(s92))),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 4.63/3.44 tff(6767,plain,
% 4.63/3.44 (~node4(s92)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6766, 35, 6763])).
% 4.63/3.44 tff(6768,plain,
% 4.63/3.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6769,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s93) | (~node4(s93)))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6770,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s93) | (~node4(s93))),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6769, 6768])).
% 4.63/3.44 tff(6771,plain,
% 4.63/3.44 (~node4(s93)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6770, 35, 6751])).
% 4.63/3.44 tff(6772,assumption,(~xuntil6(s93)), introduced(assumption)).
% 4.63/3.44 tff(6773,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s93) | node4(s93) | (~until5(s93)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6774,plain,
% 4.63/3.44 ((node4(s93) | (~until5(s93)) | xuntil6(s93)) <=> (xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6775,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s93) | (~until5(s93)) | xuntil6(s93))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s93) | node4(s93) | (~until5(s93))))),
% 4.63/3.44 inference(monotonicity,[status(thm)],[6774])).
% 4.63/3.44 tff(6776,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s93) | (~until5(s93)) | xuntil6(s93))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s93) | node4(s93) | (~until5(s93)))),
% 4.63/3.44 inference(transitivity,[status(thm)],[6775, 6773])).
% 4.63/3.44 tff(6777,plain,
% 4.63/3.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s93) | (~until5(s93)) | xuntil6(s93))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6778,plain,
% 4.63/3.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s93) | node4(s93) | (~until5(s93))),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6777, 6776])).
% 4.63/3.44 tff(6779,plain,
% 4.63/3.44 (node4(s93) | (~until5(s93))),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6778, 155, 6772])).
% 4.63/3.44 tff(6780,plain,
% 4.63/3.44 (~until5(s93)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6779, 6771])).
% 4.63/3.44 tff(6781,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6782,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6783,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s92, s93)) | (~xuntil6(s92)) | until5(s93)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6782, 6781])).
% 4.63/3.44 tff(6784,plain,
% 4.63/3.44 ((~xuntil6(s92)) | until5(s93)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6783, 6754, 173])).
% 4.63/3.44 tff(6785,plain,
% 4.63/3.44 (~xuntil6(s92)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6784, 6780])).
% 4.63/3.44 tff(6786,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s92) | node4(s92) | (~until5(s92)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6787,plain,
% 4.63/3.44 ((node4(s92) | (~until5(s92)) | xuntil6(s92)) <=> (xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6788,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s92) | node4(s92) | (~until5(s92))))),
% 4.63/3.44 inference(monotonicity,[status(thm)],[6787])).
% 4.63/3.44 tff(6789,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92)))),
% 4.63/3.44 inference(transitivity,[status(thm)],[6788, 6786])).
% 4.63/3.44 tff(6790,plain,
% 4.63/3.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s92) | (~until5(s92)) | xuntil6(s92))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6791,plain,
% 4.63/3.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s92) | node4(s92) | (~until5(s92))),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 4.63/3.44 tff(6792,plain,
% 4.63/3.44 (~until5(s92)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6791, 155, 6785, 6767])).
% 4.63/3.44 tff(6793,plain,
% 4.63/3.44 (succ(s91, s92) <=> succ(s91, s92)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6794,axiom,(succ(s91, s92)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound92')).
% 4.63/3.44 tff(6795,plain,
% 4.63/3.44 (succ(s91, s92)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6794, 6793])).
% 4.63/3.44 tff(6796,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6797,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6798,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s91, s92)) | (~xuntil6(s91)) | until5(s92)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 4.63/3.44 tff(6799,plain,
% 4.63/3.44 ((~xuntil6(s91)) | until5(s92)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6798, 6795, 173])).
% 4.63/3.44 tff(6800,plain,
% 4.63/3.44 (~xuntil6(s91)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6799, 6792])).
% 4.63/3.44 tff(6801,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6802,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s91, s92)) | trans(s91, s92))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6803,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s91, s92)) | trans(s91, s92)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 4.63/3.44 tff(6804,plain,
% 4.63/3.44 (trans(s91, s92)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6803, 6795, 46])).
% 4.63/3.44 tff(6805,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s91, s92)) | (~always3(s91)) | always3(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s91, s92)) | (~always3(s91)) | always3(s92))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6806,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s91, s92)) | (~always3(s91)) | always3(s92))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6807,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s91, s92)) | (~always3(s91)) | always3(s92)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 4.63/3.44 tff(6808,plain,
% 4.63/3.44 ((~always3(s91)) | always3(s92)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6807, 63, 6804])).
% 4.63/3.44 tff(6809,plain,
% 4.63/3.44 (~always3(s91)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6808, 6763])).
% 4.63/3.44 tff(6810,plain,
% 4.63/3.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6811,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s91) | (~node4(s91)))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6812,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s91) | (~node4(s91))),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 4.63/3.44 tff(6813,plain,
% 4.63/3.44 (~node4(s91)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6812, 35, 6809])).
% 4.63/3.44 tff(6814,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s91) | node4(s91) | (~until5(s91)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6815,plain,
% 4.63/3.44 ((node4(s91) | (~until5(s91)) | xuntil6(s91)) <=> (xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6816,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s91) | node4(s91) | (~until5(s91))))),
% 4.63/3.44 inference(monotonicity,[status(thm)],[6815])).
% 4.63/3.44 tff(6817,plain,
% 4.63/3.44 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91)))),
% 4.63/3.44 inference(transitivity,[status(thm)],[6816, 6814])).
% 4.63/3.44 tff(6818,plain,
% 4.63/3.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s91) | (~until5(s91)) | xuntil6(s91))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6819,plain,
% 4.63/3.44 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s91) | node4(s91) | (~until5(s91))),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6818, 6817])).
% 4.63/3.44 tff(6820,plain,
% 4.63/3.44 (xuntil6(s91) | (~until5(s91))),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6819, 155, 6813])).
% 4.63/3.44 tff(6821,plain,
% 4.63/3.44 (~until5(s91)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6820, 6800])).
% 4.63/3.44 tff(6822,plain,
% 4.63/3.44 (succ(s90, s91) <=> succ(s90, s91)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6823,axiom,(succ(s90, s91)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound91')).
% 4.63/3.44 tff(6824,plain,
% 4.63/3.44 (succ(s90, s91)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6823, 6822])).
% 4.63/3.44 tff(6825,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6826,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s90, s91)) | trans(s90, s91))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6827,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s90, s91)) | trans(s90, s91)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 4.63/3.44 tff(6828,plain,
% 4.63/3.44 (trans(s90, s91)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6827, 6824, 46])).
% 4.63/3.44 tff(6829,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s90, s91)) | (~always3(s90)) | always3(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s90, s91)) | (~always3(s90)) | always3(s91))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6830,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s90, s91)) | (~always3(s90)) | always3(s91))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6831,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s90, s91)) | (~always3(s90)) | always3(s91)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6830, 6829])).
% 4.63/3.44 tff(6832,plain,
% 4.63/3.44 ((~always3(s90)) | always3(s91)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6831, 63, 6828])).
% 4.63/3.44 tff(6833,plain,
% 4.63/3.44 (~always3(s90)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6832, 6809])).
% 4.63/3.44 tff(6834,plain,
% 4.63/3.44 (succ(s89, s90) <=> succ(s89, s90)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6835,axiom,(succ(s89, s90)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound90')).
% 4.63/3.44 tff(6836,plain,
% 4.63/3.44 (succ(s89, s90)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6835, 6834])).
% 4.63/3.44 tff(6837,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6838,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s89, s90)) | trans(s89, s90))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6839,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s89, s90)) | trans(s89, s90)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6838, 6837])).
% 4.63/3.44 tff(6840,plain,
% 4.63/3.44 (trans(s89, s90)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6839, 6836, 46])).
% 4.63/3.44 tff(6841,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s89, s90)) | (~always3(s89)) | always3(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s89, s90)) | (~always3(s89)) | always3(s90))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6842,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s89, s90)) | (~always3(s89)) | always3(s90))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6843,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s89, s90)) | (~always3(s89)) | always3(s90)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6842, 6841])).
% 4.63/3.44 tff(6844,plain,
% 4.63/3.44 ((~always3(s89)) | always3(s90)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6843, 63, 6840])).
% 4.63/3.44 tff(6845,plain,
% 4.63/3.44 (~always3(s89)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6844, 6833])).
% 4.63/3.44 tff(6846,plain,
% 4.63/3.44 (succ(s88, s89) <=> succ(s88, s89)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6847,axiom,(succ(s88, s89)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound89')).
% 4.63/3.44 tff(6848,plain,
% 4.63/3.44 (succ(s88, s89)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6847, 6846])).
% 4.63/3.44 tff(6849,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6850,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s88, s89)) | trans(s88, s89))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6851,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s88, s89)) | trans(s88, s89)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6850, 6849])).
% 4.63/3.44 tff(6852,plain,
% 4.63/3.44 (trans(s88, s89)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6851, 6848, 46])).
% 4.63/3.44 tff(6853,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s88, s89)) | (~always3(s88)) | always3(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s88, s89)) | (~always3(s88)) | always3(s89))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6854,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s88, s89)) | (~always3(s88)) | always3(s89))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6855,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s88, s89)) | (~always3(s88)) | always3(s89)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6854, 6853])).
% 4.63/3.44 tff(6856,plain,
% 4.63/3.44 ((~always3(s88)) | always3(s89)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6855, 63, 6852])).
% 4.63/3.44 tff(6857,plain,
% 4.63/3.44 (~always3(s88)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6856, 6845])).
% 4.63/3.44 tff(6858,plain,
% 4.63/3.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6859,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s88) | (~node4(s88)))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6860,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s88) | (~node4(s88))),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6859, 6858])).
% 4.63/3.44 tff(6861,plain,
% 4.63/3.44 (~node4(s88)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6860, 35, 6857])).
% 4.63/3.44 tff(6862,plain,
% 4.63/3.44 (succ(s87, s88) <=> succ(s87, s88)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6863,axiom,(succ(s87, s88)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound88')).
% 4.63/3.44 tff(6864,plain,
% 4.63/3.44 (succ(s87, s88)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6863, 6862])).
% 4.63/3.44 tff(6865,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6866,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s87, s88)) | trans(s87, s88))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6867,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s87, s88)) | trans(s87, s88)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6866, 6865])).
% 4.63/3.44 tff(6868,plain,
% 4.63/3.44 (trans(s87, s88)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6867, 6864, 46])).
% 4.63/3.44 tff(6869,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s87, s88)) | (~always3(s87)) | always3(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s87, s88)) | (~always3(s87)) | always3(s88))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6870,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s87, s88)) | (~always3(s87)) | always3(s88))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6871,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s87, s88)) | (~always3(s87)) | always3(s88)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6870, 6869])).
% 4.63/3.44 tff(6872,plain,
% 4.63/3.44 ((~always3(s87)) | always3(s88)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6871, 63, 6868])).
% 4.63/3.44 tff(6873,plain,
% 4.63/3.44 (~always3(s87)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6872, 6857])).
% 4.63/3.44 tff(6874,plain,
% 4.63/3.44 (succ(s86, s87) <=> succ(s86, s87)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6875,axiom,(succ(s86, s87)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound87')).
% 4.63/3.44 tff(6876,plain,
% 4.63/3.44 (succ(s86, s87)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6875, 6874])).
% 4.63/3.44 tff(6877,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6878,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s86, s87)) | trans(s86, s87))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6879,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s86, s87)) | trans(s86, s87)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6878, 6877])).
% 4.63/3.44 tff(6880,plain,
% 4.63/3.44 (trans(s86, s87)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6879, 6876, 46])).
% 4.63/3.44 tff(6881,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s86, s87)) | (~always3(s86)) | always3(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s86, s87)) | (~always3(s86)) | always3(s87))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6882,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s86, s87)) | (~always3(s86)) | always3(s87))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6883,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s86, s87)) | (~always3(s86)) | always3(s87)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6882, 6881])).
% 4.63/3.44 tff(6884,plain,
% 4.63/3.44 ((~always3(s86)) | always3(s87)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6883, 63, 6880])).
% 4.63/3.44 tff(6885,plain,
% 4.63/3.44 (~always3(s86)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6884, 6873])).
% 4.63/3.44 tff(6886,plain,
% 4.63/3.44 (succ(s85, s86) <=> succ(s85, s86)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6887,axiom,(succ(s85, s86)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound86')).
% 4.63/3.44 tff(6888,plain,
% 4.63/3.44 (succ(s85, s86)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6887, 6886])).
% 4.63/3.44 tff(6889,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6890,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s85, s86)) | trans(s85, s86))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6891,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s85, s86)) | trans(s85, s86)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6890, 6889])).
% 4.63/3.44 tff(6892,plain,
% 4.63/3.44 (trans(s85, s86)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6891, 6888, 46])).
% 4.63/3.44 tff(6893,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s85, s86)) | (~always3(s85)) | always3(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s85, s86)) | (~always3(s85)) | always3(s86))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6894,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s85, s86)) | (~always3(s85)) | always3(s86))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6895,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s85, s86)) | (~always3(s85)) | always3(s86)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6894, 6893])).
% 4.63/3.44 tff(6896,plain,
% 4.63/3.44 ((~always3(s85)) | always3(s86)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6895, 63, 6892])).
% 4.63/3.44 tff(6897,plain,
% 4.63/3.44 (~always3(s85)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6896, 6885])).
% 4.63/3.44 tff(6898,plain,
% 4.63/3.44 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85)))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6899,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s85) | (~node4(s85)))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6900,plain,
% 4.63/3.44 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s85) | (~node4(s85))),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6899, 6898])).
% 4.63/3.44 tff(6901,plain,
% 4.63/3.44 (~node4(s85)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6900, 35, 6897])).
% 4.63/3.44 tff(6902,plain,
% 4.63/3.44 (succ(s84, s85) <=> succ(s84, s85)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6903,axiom,(succ(s84, s85)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound85')).
% 4.63/3.44 tff(6904,plain,
% 4.63/3.44 (succ(s84, s85)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6903, 6902])).
% 4.63/3.44 tff(6905,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6906,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s84, s85)) | trans(s84, s85))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6907,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s84, s85)) | trans(s84, s85)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 4.63/3.44 tff(6908,plain,
% 4.63/3.44 (trans(s84, s85)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6907, 6904, 46])).
% 4.63/3.44 tff(6909,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s84, s85)) | (~always3(s84)) | always3(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s84, s85)) | (~always3(s84)) | always3(s85))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6910,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s84, s85)) | (~always3(s84)) | always3(s85))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6911,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s84, s85)) | (~always3(s84)) | always3(s85)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6910, 6909])).
% 4.63/3.44 tff(6912,plain,
% 4.63/3.44 ((~always3(s84)) | always3(s85)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6911, 63, 6908])).
% 4.63/3.44 tff(6913,plain,
% 4.63/3.44 (~always3(s84)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6912, 6897])).
% 4.63/3.44 tff(6914,plain,
% 4.63/3.44 (succ(s83, s84) <=> succ(s83, s84)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6915,axiom,(succ(s83, s84)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound84')).
% 4.63/3.44 tff(6916,plain,
% 4.63/3.44 (succ(s83, s84)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6915, 6914])).
% 4.63/3.44 tff(6917,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6918,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s83, s84)) | trans(s83, s84))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6919,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s83, s84)) | trans(s83, s84)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6918, 6917])).
% 4.63/3.44 tff(6920,plain,
% 4.63/3.44 (trans(s83, s84)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6919, 6916, 46])).
% 4.63/3.44 tff(6921,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s83, s84)) | (~always3(s83)) | always3(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s83, s84)) | (~always3(s83)) | always3(s84))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6922,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s83, s84)) | (~always3(s83)) | always3(s84))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6923,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s83, s84)) | (~always3(s83)) | always3(s84)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6922, 6921])).
% 4.63/3.44 tff(6924,plain,
% 4.63/3.44 ((~always3(s83)) | always3(s84)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6923, 63, 6920])).
% 4.63/3.44 tff(6925,plain,
% 4.63/3.44 (~always3(s83)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6924, 6913])).
% 4.63/3.44 tff(6926,plain,
% 4.63/3.44 (succ(s82, s83) <=> succ(s82, s83)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6927,axiom,(succ(s82, s83)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound83')).
% 4.63/3.44 tff(6928,plain,
% 4.63/3.44 (succ(s82, s83)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6927, 6926])).
% 4.63/3.44 tff(6929,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6930,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s82, s83)) | trans(s82, s83))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6931,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s82, s83)) | trans(s82, s83)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6930, 6929])).
% 4.63/3.44 tff(6932,plain,
% 4.63/3.44 (trans(s82, s83)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6931, 6928, 46])).
% 4.63/3.44 tff(6933,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s82, s83)) | (~always3(s82)) | always3(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s82, s83)) | (~always3(s82)) | always3(s83))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6934,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s82, s83)) | (~always3(s82)) | always3(s83))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6935,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s82, s83)) | (~always3(s82)) | always3(s83)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6934, 6933])).
% 4.63/3.44 tff(6936,plain,
% 4.63/3.44 ((~always3(s82)) | always3(s83)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6935, 63, 6932])).
% 4.63/3.44 tff(6937,plain,
% 4.63/3.44 (~always3(s82)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6936, 6925])).
% 4.63/3.44 tff(6938,plain,
% 4.63/3.44 (succ(s81, s82) <=> succ(s81, s82)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6939,axiom,(succ(s81, s82)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound82')).
% 4.63/3.44 tff(6940,plain,
% 4.63/3.44 (succ(s81, s82)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6939, 6938])).
% 4.63/3.44 tff(6941,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6942,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s81, s82)) | trans(s81, s82))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6943,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s81, s82)) | trans(s81, s82)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6942, 6941])).
% 4.63/3.44 tff(6944,plain,
% 4.63/3.44 (trans(s81, s82)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6943, 6940, 46])).
% 4.63/3.44 tff(6945,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s81, s82)) | (~always3(s81)) | always3(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s81, s82)) | (~always3(s81)) | always3(s82))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6946,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s81, s82)) | (~always3(s81)) | always3(s82))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6947,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s81, s82)) | (~always3(s81)) | always3(s82)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6946, 6945])).
% 4.63/3.44 tff(6948,plain,
% 4.63/3.44 ((~always3(s81)) | always3(s82)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6947, 63, 6944])).
% 4.63/3.44 tff(6949,plain,
% 4.63/3.44 (~always3(s81)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6948, 6937])).
% 4.63/3.44 tff(6950,plain,
% 4.63/3.44 (succ(s80, s81) <=> succ(s80, s81)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6951,axiom,(succ(s80, s81)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound81')).
% 4.63/3.44 tff(6952,plain,
% 4.63/3.44 (succ(s80, s81)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6951, 6950])).
% 4.63/3.44 tff(6953,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6954,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s80, s81)) | trans(s80, s81))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6955,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s80, s81)) | trans(s80, s81)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6954, 6953])).
% 4.63/3.44 tff(6956,plain,
% 4.63/3.44 (trans(s80, s81)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6955, 6952, 46])).
% 4.63/3.44 tff(6957,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s80, s81)) | (~always3(s80)) | always3(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s80, s81)) | (~always3(s80)) | always3(s81))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6958,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s80, s81)) | (~always3(s80)) | always3(s81))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6959,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s80, s81)) | (~always3(s80)) | always3(s81)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6958, 6957])).
% 4.63/3.44 tff(6960,plain,
% 4.63/3.44 ((~always3(s80)) | always3(s81)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6959, 63, 6956])).
% 4.63/3.44 tff(6961,plain,
% 4.63/3.44 (~always3(s80)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6960, 6949])).
% 4.63/3.44 tff(6962,plain,
% 4.63/3.44 (succ(s79, s80) <=> succ(s79, s80)),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6963,axiom,(succ(s79, s80)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound80')).
% 4.63/3.44 tff(6964,plain,
% 4.63/3.44 (succ(s79, s80)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6963, 6962])).
% 4.63/3.44 tff(6965,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6966,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s79, s80)) | trans(s79, s80))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6967,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s79, s80)) | trans(s79, s80)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6966, 6965])).
% 4.63/3.44 tff(6968,plain,
% 4.63/3.44 (trans(s79, s80)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6967, 6964, 46])).
% 4.63/3.44 tff(6969,plain,
% 4.63/3.44 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s79, s80)) | (~always3(s79)) | always3(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s79, s80)) | (~always3(s79)) | always3(s80))),
% 4.63/3.44 inference(rewrite,[status(thm)],[])).
% 4.63/3.44 tff(6970,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s79, s80)) | (~always3(s79)) | always3(s80))),
% 4.63/3.44 inference(quant_inst,[status(thm)],[])).
% 4.63/3.44 tff(6971,plain,
% 4.63/3.44 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s79, s80)) | (~always3(s79)) | always3(s80)),
% 4.63/3.44 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 4.63/3.44 tff(6972,plain,
% 4.63/3.44 ((~always3(s79)) | always3(s80)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6971, 63, 6968])).
% 4.63/3.44 tff(6973,plain,
% 4.63/3.44 (~always3(s79)),
% 4.63/3.44 inference(unit_resolution,[status(thm)],[6972, 6961])).
% 4.63/3.45 tff(6974,plain,
% 4.63/3.45 (succ(s78, s79) <=> succ(s78, s79)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(6975,axiom,(succ(s78, s79)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound79')).
% 4.63/3.45 tff(6976,plain,
% 4.63/3.45 (succ(s78, s79)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[6975, 6974])).
% 4.63/3.45 tff(6977,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(6978,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s78, s79)) | trans(s78, s79))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(6979,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s78, s79)) | trans(s78, s79)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[6978, 6977])).
% 4.63/3.45 tff(6980,plain,
% 4.63/3.45 (trans(s78, s79)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[6979, 6976, 46])).
% 4.63/3.45 tff(6981,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s78, s79)) | (~always3(s78)) | always3(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s78, s79)) | (~always3(s78)) | always3(s79))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(6982,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s78, s79)) | (~always3(s78)) | always3(s79))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(6983,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s78, s79)) | (~always3(s78)) | always3(s79)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[6982, 6981])).
% 4.63/3.45 tff(6984,plain,
% 4.63/3.45 ((~always3(s78)) | always3(s79)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[6983, 63, 6980])).
% 4.63/3.45 tff(6985,plain,
% 4.63/3.45 (~always3(s78)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[6984, 6973])).
% 4.63/3.45 tff(6986,plain,
% 4.63/3.45 (succ(s77, s78) <=> succ(s77, s78)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(6987,axiom,(succ(s77, s78)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound78')).
% 4.63/3.45 tff(6988,plain,
% 4.63/3.45 (succ(s77, s78)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 4.63/3.45 tff(6989,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(6990,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s77, s78)) | trans(s77, s78))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(6991,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s77, s78)) | trans(s77, s78)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[6990, 6989])).
% 4.63/3.45 tff(6992,plain,
% 4.63/3.45 (trans(s77, s78)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[6991, 6988, 46])).
% 4.63/3.45 tff(6993,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s77, s78)) | (~always3(s77)) | always3(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s77, s78)) | (~always3(s77)) | always3(s78))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(6994,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s77, s78)) | (~always3(s77)) | always3(s78))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(6995,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s77, s78)) | (~always3(s77)) | always3(s78)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[6994, 6993])).
% 4.63/3.45 tff(6996,plain,
% 4.63/3.45 ((~always3(s77)) | always3(s78)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[6995, 63, 6992])).
% 4.63/3.45 tff(6997,plain,
% 4.63/3.45 (~always3(s77)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[6996, 6985])).
% 4.63/3.45 tff(6998,plain,
% 4.63/3.45 (succ(s76, s77) <=> succ(s76, s77)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(6999,axiom,(succ(s76, s77)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound77')).
% 4.63/3.45 tff(7000,plain,
% 4.63/3.45 (succ(s76, s77)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 4.63/3.45 tff(7001,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7002,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s76, s77)) | trans(s76, s77))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7003,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s76, s77)) | trans(s76, s77)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7002, 7001])).
% 4.63/3.45 tff(7004,plain,
% 4.63/3.45 (trans(s76, s77)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7003, 7000, 46])).
% 4.63/3.45 tff(7005,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s76, s77)) | (~always3(s76)) | always3(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s76, s77)) | (~always3(s76)) | always3(s77))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7006,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s76, s77)) | (~always3(s76)) | always3(s77))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7007,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s76, s77)) | (~always3(s76)) | always3(s77)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7006, 7005])).
% 4.63/3.45 tff(7008,plain,
% 4.63/3.45 ((~always3(s76)) | always3(s77)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7007, 63, 7004])).
% 4.63/3.45 tff(7009,plain,
% 4.63/3.45 (~always3(s76)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7008, 6997])).
% 4.63/3.45 tff(7010,plain,
% 4.63/3.45 (succ(s75, s76) <=> succ(s75, s76)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7011,axiom,(succ(s75, s76)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound76')).
% 4.63/3.45 tff(7012,plain,
% 4.63/3.45 (succ(s75, s76)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7011, 7010])).
% 4.63/3.45 tff(7013,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7014,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s75, s76)) | trans(s75, s76))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7015,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s75, s76)) | trans(s75, s76)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7014, 7013])).
% 4.63/3.45 tff(7016,plain,
% 4.63/3.45 (trans(s75, s76)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7015, 7012, 46])).
% 4.63/3.45 tff(7017,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s75, s76)) | (~always3(s75)) | always3(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s75, s76)) | (~always3(s75)) | always3(s76))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7018,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s75, s76)) | (~always3(s75)) | always3(s76))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7019,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s75, s76)) | (~always3(s75)) | always3(s76)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7018, 7017])).
% 4.63/3.45 tff(7020,plain,
% 4.63/3.45 ((~always3(s75)) | always3(s76)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7019, 63, 7016])).
% 4.63/3.45 tff(7021,plain,
% 4.63/3.45 (~always3(s75)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7020, 7009])).
% 4.63/3.45 tff(7022,assumption,(~always3(s75)), introduced(assumption)).
% 4.63/3.45 tff(7023,plain,
% 4.63/3.45 (succ(s74, s75) <=> succ(s74, s75)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7024,axiom,(succ(s74, s75)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound75')).
% 4.63/3.45 tff(7025,plain,
% 4.63/3.45 (succ(s74, s75)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 4.63/3.45 tff(7026,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7027,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s74, s75)) | trans(s74, s75))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7028,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s74, s75)) | trans(s74, s75)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7027, 7026])).
% 4.63/3.45 tff(7029,plain,
% 4.63/3.45 (trans(s74, s75)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7028, 7025, 46])).
% 4.63/3.45 tff(7030,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s74, s75)) | (~always3(s74)) | always3(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s74, s75)) | (~always3(s74)) | always3(s75))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7031,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s74, s75)) | (~always3(s74)) | always3(s75))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7032,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s74, s75)) | (~always3(s74)) | always3(s75)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7031, 7030])).
% 4.63/3.45 tff(7033,plain,
% 4.63/3.45 ((~always3(s74)) | always3(s75)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7032, 63, 7029])).
% 4.63/3.45 tff(7034,plain,
% 4.63/3.45 (~always3(s74)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7033, 7022])).
% 4.63/3.45 tff(7035,plain,
% 4.63/3.45 (succ(s73, s74) <=> succ(s73, s74)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7036,axiom,(succ(s73, s74)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound74')).
% 4.63/3.45 tff(7037,plain,
% 4.63/3.45 (succ(s73, s74)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7036, 7035])).
% 4.63/3.45 tff(7038,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7039,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s73, s74)) | trans(s73, s74))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7040,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s73, s74)) | trans(s73, s74)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7039, 7038])).
% 4.63/3.45 tff(7041,plain,
% 4.63/3.45 (trans(s73, s74)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7040, 7037, 46])).
% 4.63/3.45 tff(7042,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s73, s74)) | (~always3(s73)) | always3(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s73, s74)) | (~always3(s73)) | always3(s74))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7043,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s73, s74)) | (~always3(s73)) | always3(s74))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7044,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s73, s74)) | (~always3(s73)) | always3(s74)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7043, 7042])).
% 4.63/3.45 tff(7045,plain,
% 4.63/3.45 ((~always3(s73)) | always3(s74)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7044, 63, 7041])).
% 4.63/3.45 tff(7046,plain,
% 4.63/3.45 (~always3(s73)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7045, 7034])).
% 4.63/3.45 tff(7047,plain,
% 4.63/3.45 (succ(s72, s73) <=> succ(s72, s73)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7048,axiom,(succ(s72, s73)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound73')).
% 4.63/3.45 tff(7049,plain,
% 4.63/3.45 (succ(s72, s73)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 4.63/3.45 tff(7050,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7051,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s72, s73)) | trans(s72, s73))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7052,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s72, s73)) | trans(s72, s73)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7051, 7050])).
% 4.63/3.45 tff(7053,plain,
% 4.63/3.45 (trans(s72, s73)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7052, 7049, 46])).
% 4.63/3.45 tff(7054,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s72, s73)) | (~always3(s72)) | always3(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s72, s73)) | (~always3(s72)) | always3(s73))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7055,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s72, s73)) | (~always3(s72)) | always3(s73))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7056,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s72, s73)) | (~always3(s72)) | always3(s73)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7055, 7054])).
% 4.63/3.45 tff(7057,plain,
% 4.63/3.45 ((~always3(s72)) | always3(s73)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7056, 63, 7053])).
% 4.63/3.45 tff(7058,plain,
% 4.63/3.45 (~always3(s72)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7057, 7046])).
% 4.63/3.45 tff(7059,plain,
% 4.63/3.45 (succ(s71, s72) <=> succ(s71, s72)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7060,axiom,(succ(s71, s72)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound72')).
% 4.63/3.45 tff(7061,plain,
% 4.63/3.45 (succ(s71, s72)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 4.63/3.45 tff(7062,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7063,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s71, s72)) | trans(s71, s72))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7064,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s71, s72)) | trans(s71, s72)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7063, 7062])).
% 4.63/3.45 tff(7065,plain,
% 4.63/3.45 (trans(s71, s72)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7064, 7061, 46])).
% 4.63/3.45 tff(7066,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s71, s72)) | (~always3(s71)) | always3(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s71, s72)) | (~always3(s71)) | always3(s72))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7067,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s71, s72)) | (~always3(s71)) | always3(s72))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7068,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s71, s72)) | (~always3(s71)) | always3(s72)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7067, 7066])).
% 4.63/3.45 tff(7069,plain,
% 4.63/3.45 ((~always3(s71)) | always3(s72)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7068, 63, 7065])).
% 4.63/3.45 tff(7070,plain,
% 4.63/3.45 (~always3(s71)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7069, 7058])).
% 4.63/3.45 tff(7071,plain,
% 4.63/3.45 (succ(s70, s71) <=> succ(s70, s71)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7072,axiom,(succ(s70, s71)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound71')).
% 4.63/3.45 tff(7073,plain,
% 4.63/3.45 (succ(s70, s71)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7072, 7071])).
% 4.63/3.45 tff(7074,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7075,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s70, s71)) | trans(s70, s71))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7076,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s70, s71)) | trans(s70, s71)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 4.63/3.45 tff(7077,plain,
% 4.63/3.45 (trans(s70, s71)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7076, 7073, 46])).
% 4.63/3.45 tff(7078,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s70, s71)) | (~always3(s70)) | always3(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s70, s71)) | (~always3(s70)) | always3(s71))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7079,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s70, s71)) | (~always3(s70)) | always3(s71))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7080,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s70, s71)) | (~always3(s70)) | always3(s71)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 4.63/3.45 tff(7081,plain,
% 4.63/3.45 ((~always3(s70)) | always3(s71)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7080, 63, 7077])).
% 4.63/3.45 tff(7082,plain,
% 4.63/3.45 (~always3(s70)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7081, 7070])).
% 4.63/3.45 tff(7083,plain,
% 4.63/3.45 (succ(s69, s70) <=> succ(s69, s70)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7084,axiom,(succ(s69, s70)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound70')).
% 4.63/3.45 tff(7085,plain,
% 4.63/3.45 (succ(s69, s70)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7084, 7083])).
% 4.63/3.45 tff(7086,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7087,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s69, s70)) | trans(s69, s70))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7088,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s69, s70)) | trans(s69, s70)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7087, 7086])).
% 4.63/3.45 tff(7089,plain,
% 4.63/3.45 (trans(s69, s70)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7088, 7085, 46])).
% 4.63/3.45 tff(7090,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s69, s70)) | (~always3(s69)) | always3(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s69, s70)) | (~always3(s69)) | always3(s70))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7091,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s69, s70)) | (~always3(s69)) | always3(s70))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7092,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s69, s70)) | (~always3(s69)) | always3(s70)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7091, 7090])).
% 4.63/3.45 tff(7093,plain,
% 4.63/3.45 ((~always3(s69)) | always3(s70)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7092, 63, 7089])).
% 4.63/3.45 tff(7094,plain,
% 4.63/3.45 (~always3(s69)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7093, 7082])).
% 4.63/3.45 tff(7095,plain,
% 4.63/3.45 (succ(s68, s69) <=> succ(s68, s69)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7096,axiom,(succ(s68, s69)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound69')).
% 4.63/3.45 tff(7097,plain,
% 4.63/3.45 (succ(s68, s69)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7096, 7095])).
% 4.63/3.45 tff(7098,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7099,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s68, s69)) | trans(s68, s69))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7100,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s68, s69)) | trans(s68, s69)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7099, 7098])).
% 4.63/3.45 tff(7101,plain,
% 4.63/3.45 (trans(s68, s69)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7100, 7097, 46])).
% 4.63/3.45 tff(7102,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s68, s69)) | (~always3(s68)) | always3(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s68, s69)) | (~always3(s68)) | always3(s69))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7103,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s68, s69)) | (~always3(s68)) | always3(s69))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7104,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s68, s69)) | (~always3(s68)) | always3(s69)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7103, 7102])).
% 4.63/3.45 tff(7105,plain,
% 4.63/3.45 ((~always3(s68)) | always3(s69)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7104, 63, 7101])).
% 4.63/3.45 tff(7106,plain,
% 4.63/3.45 (~always3(s68)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7105, 7094])).
% 4.63/3.45 tff(7107,plain,
% 4.63/3.45 (succ(s67, s68) <=> succ(s67, s68)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7108,axiom,(succ(s67, s68)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound68')).
% 4.63/3.45 tff(7109,plain,
% 4.63/3.45 (succ(s67, s68)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7108, 7107])).
% 4.63/3.45 tff(7110,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7111,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s67, s68)) | trans(s67, s68))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7112,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s67, s68)) | trans(s67, s68)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 4.63/3.45 tff(7113,plain,
% 4.63/3.45 (trans(s67, s68)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7112, 7109, 46])).
% 4.63/3.45 tff(7114,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s67, s68)) | (~always3(s67)) | always3(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s67, s68)) | (~always3(s67)) | always3(s68))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7115,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s67, s68)) | (~always3(s67)) | always3(s68))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7116,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s67, s68)) | (~always3(s67)) | always3(s68)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7115, 7114])).
% 4.63/3.45 tff(7117,plain,
% 4.63/3.45 ((~always3(s67)) | always3(s68)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7116, 63, 7113])).
% 4.63/3.45 tff(7118,plain,
% 4.63/3.45 (~always3(s67)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7117, 7106])).
% 4.63/3.45 tff(7119,plain,
% 4.63/3.45 (succ(s66, s67) <=> succ(s66, s67)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7120,axiom,(succ(s66, s67)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound67')).
% 4.63/3.45 tff(7121,plain,
% 4.63/3.45 (succ(s66, s67)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7120, 7119])).
% 4.63/3.45 tff(7122,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7123,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s66, s67)) | trans(s66, s67))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7124,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s66, s67)) | trans(s66, s67)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 4.63/3.45 tff(7125,plain,
% 4.63/3.45 (trans(s66, s67)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7124, 7121, 46])).
% 4.63/3.45 tff(7126,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s66, s67)) | (~always3(s66)) | always3(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s66, s67)) | (~always3(s66)) | always3(s67))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7127,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s66, s67)) | (~always3(s66)) | always3(s67))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7128,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s66, s67)) | (~always3(s66)) | always3(s67)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 4.63/3.45 tff(7129,plain,
% 4.63/3.45 ((~always3(s66)) | always3(s67)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7128, 63, 7125])).
% 4.63/3.45 tff(7130,plain,
% 4.63/3.45 (~always3(s66)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7129, 7118])).
% 4.63/3.45 tff(7131,plain,
% 4.63/3.45 (succ(s65, s66) <=> succ(s65, s66)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7132,axiom,(succ(s65, s66)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound66')).
% 4.63/3.45 tff(7133,plain,
% 4.63/3.45 (succ(s65, s66)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7132, 7131])).
% 4.63/3.45 tff(7134,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7135,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s65, s66)) | trans(s65, s66))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7136,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s65, s66)) | trans(s65, s66)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7135, 7134])).
% 4.63/3.45 tff(7137,plain,
% 4.63/3.45 (trans(s65, s66)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7136, 7133, 46])).
% 4.63/3.45 tff(7138,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s65, s66)) | (~always3(s65)) | always3(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s65, s66)) | (~always3(s65)) | always3(s66))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7139,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s65, s66)) | (~always3(s65)) | always3(s66))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7140,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s65, s66)) | (~always3(s65)) | always3(s66)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7139, 7138])).
% 4.63/3.45 tff(7141,plain,
% 4.63/3.45 ((~always3(s65)) | always3(s66)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7140, 63, 7137])).
% 4.63/3.45 tff(7142,plain,
% 4.63/3.45 (~always3(s65)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7141, 7130])).
% 4.63/3.45 tff(7143,plain,
% 4.63/3.45 (succ(s64, s65) <=> succ(s64, s65)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7144,axiom,(succ(s64, s65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound65')).
% 4.63/3.45 tff(7145,plain,
% 4.63/3.45 (succ(s64, s65)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7144, 7143])).
% 4.63/3.45 tff(7146,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7147,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s64, s65)) | trans(s64, s65))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7148,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s64, s65)) | trans(s64, s65)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7147, 7146])).
% 4.63/3.45 tff(7149,plain,
% 4.63/3.45 (trans(s64, s65)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7148, 7145, 46])).
% 4.63/3.45 tff(7150,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s64, s65)) | (~always3(s64)) | always3(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s64, s65)) | (~always3(s64)) | always3(s65))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7151,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s64, s65)) | (~always3(s64)) | always3(s65))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7152,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s64, s65)) | (~always3(s64)) | always3(s65)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 4.63/3.45 tff(7153,plain,
% 4.63/3.45 ((~always3(s64)) | always3(s65)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7152, 63, 7149])).
% 4.63/3.45 tff(7154,plain,
% 4.63/3.45 (~always3(s64)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7153, 7142])).
% 4.63/3.45 tff(7155,plain,
% 4.63/3.45 (succ(s63, s64) <=> succ(s63, s64)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7156,axiom,(succ(s63, s64)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound64')).
% 4.63/3.45 tff(7157,plain,
% 4.63/3.45 (succ(s63, s64)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7156, 7155])).
% 4.63/3.45 tff(7158,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7159,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s63, s64)) | trans(s63, s64))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7160,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s63, s64)) | trans(s63, s64)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7159, 7158])).
% 4.63/3.45 tff(7161,plain,
% 4.63/3.45 (trans(s63, s64)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7160, 7157, 46])).
% 4.63/3.45 tff(7162,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s63, s64)) | (~always3(s63)) | always3(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s63, s64)) | (~always3(s63)) | always3(s64))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7163,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s63, s64)) | (~always3(s63)) | always3(s64))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7164,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s63, s64)) | (~always3(s63)) | always3(s64)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7163, 7162])).
% 4.63/3.45 tff(7165,plain,
% 4.63/3.45 ((~always3(s63)) | always3(s64)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7164, 63, 7161])).
% 4.63/3.45 tff(7166,plain,
% 4.63/3.45 (~always3(s63)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7165, 7154])).
% 4.63/3.45 tff(7167,plain,
% 4.63/3.45 (succ(s62, s63) <=> succ(s62, s63)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7168,axiom,(succ(s62, s63)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound63')).
% 4.63/3.45 tff(7169,plain,
% 4.63/3.45 (succ(s62, s63)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7168, 7167])).
% 4.63/3.45 tff(7170,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7171,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s62, s63)) | trans(s62, s63))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7172,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s62, s63)) | trans(s62, s63)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7171, 7170])).
% 4.63/3.45 tff(7173,plain,
% 4.63/3.45 (trans(s62, s63)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7172, 7169, 46])).
% 4.63/3.45 tff(7174,plain,
% 4.63/3.45 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s62, s63)) | (~always3(s62)) | always3(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s62, s63)) | (~always3(s62)) | always3(s63))),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7175,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s62, s63)) | (~always3(s62)) | always3(s63))),
% 4.63/3.45 inference(quant_inst,[status(thm)],[])).
% 4.63/3.45 tff(7176,plain,
% 4.63/3.45 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s62, s63)) | (~always3(s62)) | always3(s63)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7175, 7174])).
% 4.63/3.45 tff(7177,plain,
% 4.63/3.45 ((~always3(s62)) | always3(s63)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7176, 63, 7173])).
% 4.63/3.45 tff(7178,plain,
% 4.63/3.45 (~always3(s62)),
% 4.63/3.45 inference(unit_resolution,[status(thm)],[7177, 7166])).
% 4.63/3.45 tff(7179,plain,
% 4.63/3.45 (succ(s61, s62) <=> succ(s61, s62)),
% 4.63/3.45 inference(rewrite,[status(thm)],[])).
% 4.63/3.45 tff(7180,axiom,(succ(s61, s62)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound62')).
% 4.63/3.45 tff(7181,plain,
% 4.63/3.45 (succ(s61, s62)),
% 4.63/3.45 inference(modus_ponens,[status(thm)],[7180, 7179])).
% 4.63/3.46 tff(7182,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7183,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s61, s62)) | trans(s61, s62))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7184,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s61, s62)) | trans(s61, s62)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 4.63/3.46 tff(7185,plain,
% 4.63/3.46 (trans(s61, s62)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7184, 7181, 46])).
% 4.63/3.46 tff(7186,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s61, s62)) | (~always3(s61)) | always3(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s61, s62)) | (~always3(s61)) | always3(s62))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7187,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s61, s62)) | (~always3(s61)) | always3(s62))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7188,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s61, s62)) | (~always3(s61)) | always3(s62)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7187, 7186])).
% 4.63/3.46 tff(7189,plain,
% 4.63/3.46 ((~always3(s61)) | always3(s62)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7188, 63, 7185])).
% 4.63/3.46 tff(7190,plain,
% 4.63/3.46 (~always3(s61)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7189, 7178])).
% 4.63/3.46 tff(7191,plain,
% 4.63/3.46 (succ(s60, s61) <=> succ(s60, s61)),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7192,axiom,(succ(s60, s61)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound61')).
% 4.63/3.46 tff(7193,plain,
% 4.63/3.46 (succ(s60, s61)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7192, 7191])).
% 4.63/3.46 tff(7194,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7195,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s60, s61)) | trans(s60, s61))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7196,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s60, s61)) | trans(s60, s61)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7195, 7194])).
% 4.63/3.46 tff(7197,plain,
% 4.63/3.46 (trans(s60, s61)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7196, 7193, 46])).
% 4.63/3.46 tff(7198,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s60, s61)) | (~always3(s60)) | always3(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s60, s61)) | (~always3(s60)) | always3(s61))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7199,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s60, s61)) | (~always3(s60)) | always3(s61))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7200,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s60, s61)) | (~always3(s60)) | always3(s61)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7199, 7198])).
% 4.63/3.46 tff(7201,plain,
% 4.63/3.46 ((~always3(s60)) | always3(s61)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7200, 63, 7197])).
% 4.63/3.46 tff(7202,plain,
% 4.63/3.46 (~always3(s60)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7201, 7190])).
% 4.63/3.46 tff(7203,plain,
% 4.63/3.46 (succ(s59, s60) <=> succ(s59, s60)),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7204,axiom,(succ(s59, s60)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound60')).
% 4.63/3.46 tff(7205,plain,
% 4.63/3.46 (succ(s59, s60)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 4.63/3.46 tff(7206,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7207,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s59, s60)) | trans(s59, s60))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7208,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s59, s60)) | trans(s59, s60)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7207, 7206])).
% 4.63/3.46 tff(7209,plain,
% 4.63/3.46 (trans(s59, s60)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7208, 7205, 46])).
% 4.63/3.46 tff(7210,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s59, s60)) | (~always3(s59)) | always3(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s59, s60)) | (~always3(s59)) | always3(s60))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7211,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s59, s60)) | (~always3(s59)) | always3(s60))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7212,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s59, s60)) | (~always3(s59)) | always3(s60)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7211, 7210])).
% 4.63/3.46 tff(7213,plain,
% 4.63/3.46 ((~always3(s59)) | always3(s60)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7212, 63, 7209])).
% 4.63/3.46 tff(7214,plain,
% 4.63/3.46 (~always3(s59)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7213, 7202])).
% 4.63/3.46 tff(7215,plain,
% 4.63/3.46 (succ(s58, s59) <=> succ(s58, s59)),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7216,axiom,(succ(s58, s59)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound59')).
% 4.63/3.46 tff(7217,plain,
% 4.63/3.46 (succ(s58, s59)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7216, 7215])).
% 4.63/3.46 tff(7218,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7219,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s58, s59)) | trans(s58, s59))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7220,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s58, s59)) | trans(s58, s59)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7219, 7218])).
% 4.63/3.46 tff(7221,plain,
% 4.63/3.46 (trans(s58, s59)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7220, 7217, 46])).
% 4.63/3.46 tff(7222,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s58, s59)) | (~always3(s58)) | always3(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s58, s59)) | (~always3(s58)) | always3(s59))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7223,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s58, s59)) | (~always3(s58)) | always3(s59))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7224,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s58, s59)) | (~always3(s58)) | always3(s59)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7223, 7222])).
% 4.63/3.46 tff(7225,plain,
% 4.63/3.46 ((~always3(s58)) | always3(s59)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7224, 63, 7221])).
% 4.63/3.46 tff(7226,plain,
% 4.63/3.46 (~always3(s58)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7225, 7214])).
% 4.63/3.46 tff(7227,plain,
% 4.63/3.46 (succ(s57, s58) <=> succ(s57, s58)),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7228,axiom,(succ(s57, s58)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound58')).
% 4.63/3.46 tff(7229,plain,
% 4.63/3.46 (succ(s57, s58)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7228, 7227])).
% 4.63/3.46 tff(7230,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7231,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s57, s58)) | trans(s57, s58))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7232,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s57, s58)) | trans(s57, s58)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7231, 7230])).
% 4.63/3.46 tff(7233,plain,
% 4.63/3.46 (trans(s57, s58)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7232, 7229, 46])).
% 4.63/3.46 tff(7234,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s57, s58)) | (~always3(s57)) | always3(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s57, s58)) | (~always3(s57)) | always3(s58))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7235,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s57, s58)) | (~always3(s57)) | always3(s58))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7236,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s57, s58)) | (~always3(s57)) | always3(s58)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7235, 7234])).
% 4.63/3.46 tff(7237,plain,
% 4.63/3.46 ((~always3(s57)) | always3(s58)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7236, 63, 7233])).
% 4.63/3.46 tff(7238,plain,
% 4.63/3.46 (~always3(s57)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7237, 7226])).
% 4.63/3.46 tff(7239,plain,
% 4.63/3.46 (succ(s56, s57) <=> succ(s56, s57)),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7240,axiom,(succ(s56, s57)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound57')).
% 4.63/3.46 tff(7241,plain,
% 4.63/3.46 (succ(s56, s57)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7240, 7239])).
% 4.63/3.46 tff(7242,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7243,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s56, s57)) | trans(s56, s57))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7244,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s56, s57)) | trans(s56, s57)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7243, 7242])).
% 4.63/3.46 tff(7245,plain,
% 4.63/3.46 (trans(s56, s57)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7244, 7241, 46])).
% 4.63/3.46 tff(7246,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s56, s57)) | (~always3(s56)) | always3(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s56, s57)) | (~always3(s56)) | always3(s57))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7247,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s56, s57)) | (~always3(s56)) | always3(s57))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7248,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s56, s57)) | (~always3(s56)) | always3(s57)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7247, 7246])).
% 4.63/3.46 tff(7249,plain,
% 4.63/3.46 ((~always3(s56)) | always3(s57)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7248, 63, 7245])).
% 4.63/3.46 tff(7250,plain,
% 4.63/3.46 (~always3(s56)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7249, 7238])).
% 4.63/3.46 tff(7251,plain,
% 4.63/3.46 (succ(s55, s56) <=> succ(s55, s56)),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7252,axiom,(succ(s55, s56)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound56')).
% 4.63/3.46 tff(7253,plain,
% 4.63/3.46 (succ(s55, s56)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 4.63/3.46 tff(7254,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7255,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s55, s56)) | trans(s55, s56))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7256,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s55, s56)) | trans(s55, s56)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7255, 7254])).
% 4.63/3.46 tff(7257,plain,
% 4.63/3.46 (trans(s55, s56)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7256, 7253, 46])).
% 4.63/3.46 tff(7258,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s55, s56)) | (~always3(s55)) | always3(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s55, s56)) | (~always3(s55)) | always3(s56))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7259,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s55, s56)) | (~always3(s55)) | always3(s56))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7260,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s55, s56)) | (~always3(s55)) | always3(s56)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7259, 7258])).
% 4.63/3.46 tff(7261,plain,
% 4.63/3.46 ((~always3(s55)) | always3(s56)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7260, 63, 7257])).
% 4.63/3.46 tff(7262,plain,
% 4.63/3.46 (~always3(s55)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7261, 7250])).
% 4.63/3.46 tff(7263,plain,
% 4.63/3.46 (succ(s54, s55) <=> succ(s54, s55)),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7264,axiom,(succ(s54, s55)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound55')).
% 4.63/3.46 tff(7265,plain,
% 4.63/3.46 (succ(s54, s55)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7264, 7263])).
% 4.63/3.46 tff(7266,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7267,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s54, s55)) | trans(s54, s55))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7268,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s54, s55)) | trans(s54, s55)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7267, 7266])).
% 4.63/3.46 tff(7269,plain,
% 4.63/3.46 (trans(s54, s55)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7268, 7265, 46])).
% 4.63/3.46 tff(7270,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s54, s55)) | (~always3(s54)) | always3(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s54, s55)) | (~always3(s54)) | always3(s55))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7271,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | ((~trans(s54, s55)) | (~always3(s54)) | always3(s55))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7272,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~always3(X)) | always3(Y))) | (~trans(s54, s55)) | (~always3(s54)) | always3(s55)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7271, 7270])).
% 4.63/3.46 tff(7273,plain,
% 4.63/3.46 ((~always3(s54)) | always3(s55)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7272, 63, 7269])).
% 4.63/3.46 tff(7274,plain,
% 4.63/3.46 (~always3(s54)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7273, 7262])).
% 4.63/3.46 tff(7275,plain,
% 4.63/3.46 (~always3(s53)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[4228, 7274])).
% 4.63/3.46 tff(7276,plain,
% 4.63/3.46 (~always3(s52)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[4035, 7275])).
% 4.63/3.46 tff(7277,plain,
% 4.63/3.46 (~always3(s51)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[3909, 7276])).
% 4.63/3.46 tff(7278,plain,
% 4.63/3.46 (~always3(s50)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[3921, 7277])).
% 4.63/3.46 tff(7279,plain,
% 4.63/3.46 (~always3(s49)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[3819, 7278])).
% 4.63/3.46 tff(7280,plain,
% 4.63/3.46 (~always3(s48)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[3763, 7279])).
% 4.63/3.46 tff(7281,plain,
% 4.63/3.46 (~always3(s47)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[67, 7280])).
% 4.63/3.46 tff(7282,plain,
% 4.63/3.46 (~always3(s46)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[3709, 7281])).
% 4.63/3.46 tff(7283,plain,
% 4.63/3.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7284,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s74) | (~node4(s74)))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7285,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s74) | (~node4(s74))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7284, 7283])).
% 4.63/3.46 tff(7286,plain,
% 4.63/3.46 (~node4(s74)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7285, 35, 7034])).
% 4.63/3.46 tff(7287,plain,
% 4.63/3.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7288,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s75) | (~node4(s75)))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7289,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s75) | (~node4(s75))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7288, 7287])).
% 4.63/3.46 tff(7290,plain,
% 4.63/3.46 (~node4(s75)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7289, 35, 7022])).
% 4.63/3.46 tff(7291,assumption,(~xuntil6(s75)), introduced(assumption)).
% 4.63/3.46 tff(7292,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s75) | node4(s75) | (~until5(s75)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7293,plain,
% 4.63/3.46 ((node4(s75) | (~until5(s75)) | xuntil6(s75)) <=> (xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7294,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s75) | node4(s75) | (~until5(s75))))),
% 4.63/3.46 inference(monotonicity,[status(thm)],[7293])).
% 4.63/3.46 tff(7295,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75)))),
% 4.63/3.46 inference(transitivity,[status(thm)],[7294, 7292])).
% 4.63/3.46 tff(7296,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s75) | (~until5(s75)) | xuntil6(s75))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7297,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s75) | node4(s75) | (~until5(s75))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7296, 7295])).
% 4.63/3.46 tff(7298,plain,
% 4.63/3.46 (node4(s75) | (~until5(s75))),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7297, 155, 7291])).
% 4.63/3.46 tff(7299,plain,
% 4.63/3.46 (~until5(s75)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7298, 7290])).
% 4.63/3.46 tff(7300,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7301,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7302,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s74, s75)) | (~xuntil6(s74)) | until5(s75)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7301, 7300])).
% 4.63/3.46 tff(7303,plain,
% 4.63/3.46 ((~xuntil6(s74)) | until5(s75)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7302, 7025, 173])).
% 4.63/3.46 tff(7304,plain,
% 4.63/3.46 (~xuntil6(s74)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7303, 7299])).
% 4.63/3.46 tff(7305,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s74) | node4(s74) | (~until5(s74)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7306,plain,
% 4.63/3.46 ((node4(s74) | (~until5(s74)) | xuntil6(s74)) <=> (xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7307,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s74) | node4(s74) | (~until5(s74))))),
% 4.63/3.46 inference(monotonicity,[status(thm)],[7306])).
% 4.63/3.46 tff(7308,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74)))),
% 4.63/3.46 inference(transitivity,[status(thm)],[7307, 7305])).
% 4.63/3.46 tff(7309,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s74) | (~until5(s74)) | xuntil6(s74))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7310,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s74) | node4(s74) | (~until5(s74))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7309, 7308])).
% 4.63/3.46 tff(7311,plain,
% 4.63/3.46 (~until5(s74)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7310, 155, 7304, 7286])).
% 4.63/3.46 tff(7312,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7313,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7314,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s73, s74)) | (~xuntil6(s73)) | until5(s74)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7313, 7312])).
% 4.63/3.46 tff(7315,plain,
% 4.63/3.46 ((~xuntil6(s73)) | until5(s74)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7314, 7037, 173])).
% 4.63/3.46 tff(7316,plain,
% 4.63/3.46 (~xuntil6(s73)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7315, 7311])).
% 4.63/3.46 tff(7317,plain,
% 4.63/3.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7318,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s73) | (~node4(s73)))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7319,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s73) | (~node4(s73))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7318, 7317])).
% 4.63/3.46 tff(7320,plain,
% 4.63/3.46 (~node4(s73)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7319, 35, 7046])).
% 4.63/3.46 tff(7321,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s73) | node4(s73) | (~until5(s73)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7322,plain,
% 4.63/3.46 ((node4(s73) | (~until5(s73)) | xuntil6(s73)) <=> (xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7323,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s73) | node4(s73) | (~until5(s73))))),
% 4.63/3.46 inference(monotonicity,[status(thm)],[7322])).
% 4.63/3.46 tff(7324,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73)))),
% 4.63/3.46 inference(transitivity,[status(thm)],[7323, 7321])).
% 4.63/3.46 tff(7325,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s73) | (~until5(s73)) | xuntil6(s73))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7326,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s73) | node4(s73) | (~until5(s73))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7325, 7324])).
% 4.63/3.46 tff(7327,plain,
% 4.63/3.46 (xuntil6(s73) | (~until5(s73))),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7326, 155, 7320])).
% 4.63/3.46 tff(7328,plain,
% 4.63/3.46 (~until5(s73)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7327, 7316])).
% 4.63/3.46 tff(7329,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7330,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7331,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s72, s73)) | (~xuntil6(s72)) | until5(s73)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7330, 7329])).
% 4.63/3.46 tff(7332,plain,
% 4.63/3.46 ((~xuntil6(s72)) | until5(s73)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7331, 7049, 173])).
% 4.63/3.46 tff(7333,plain,
% 4.63/3.46 (~xuntil6(s72)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7332, 7328])).
% 4.63/3.46 tff(7334,plain,
% 4.63/3.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7335,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s72) | (~node4(s72)))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7336,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s72) | (~node4(s72))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7335, 7334])).
% 4.63/3.46 tff(7337,plain,
% 4.63/3.46 (~node4(s72)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7336, 35, 7058])).
% 4.63/3.46 tff(7338,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s72) | node4(s72) | (~until5(s72)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7339,plain,
% 4.63/3.46 ((node4(s72) | (~until5(s72)) | xuntil6(s72)) <=> (xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7340,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s72) | node4(s72) | (~until5(s72))))),
% 4.63/3.46 inference(monotonicity,[status(thm)],[7339])).
% 4.63/3.46 tff(7341,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72)))),
% 4.63/3.46 inference(transitivity,[status(thm)],[7340, 7338])).
% 4.63/3.46 tff(7342,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s72) | (~until5(s72)) | xuntil6(s72))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7343,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s72) | node4(s72) | (~until5(s72))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7342, 7341])).
% 4.63/3.46 tff(7344,plain,
% 4.63/3.46 (xuntil6(s72) | (~until5(s72))),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7343, 155, 7337])).
% 4.63/3.46 tff(7345,plain,
% 4.63/3.46 (~until5(s72)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7344, 7333])).
% 4.63/3.46 tff(7346,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7347,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7348,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s71, s72)) | (~xuntil6(s71)) | until5(s72)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7347, 7346])).
% 4.63/3.46 tff(7349,plain,
% 4.63/3.46 ((~xuntil6(s71)) | until5(s72)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7348, 7061, 173])).
% 4.63/3.46 tff(7350,plain,
% 4.63/3.46 (~xuntil6(s71)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7349, 7345])).
% 4.63/3.46 tff(7351,plain,
% 4.63/3.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7352,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s71) | (~node4(s71)))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7353,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s71) | (~node4(s71))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7352, 7351])).
% 4.63/3.46 tff(7354,plain,
% 4.63/3.46 (~node4(s71)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7353, 35, 7070])).
% 4.63/3.46 tff(7355,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s71) | node4(s71) | (~until5(s71)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7356,plain,
% 4.63/3.46 ((node4(s71) | (~until5(s71)) | xuntil6(s71)) <=> (xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7357,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s71) | node4(s71) | (~until5(s71))))),
% 4.63/3.46 inference(monotonicity,[status(thm)],[7356])).
% 4.63/3.46 tff(7358,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71)))),
% 4.63/3.46 inference(transitivity,[status(thm)],[7357, 7355])).
% 4.63/3.46 tff(7359,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s71) | (~until5(s71)) | xuntil6(s71))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7360,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s71) | node4(s71) | (~until5(s71))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7359, 7358])).
% 4.63/3.46 tff(7361,plain,
% 4.63/3.46 (xuntil6(s71) | (~until5(s71))),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7360, 155, 7354])).
% 4.63/3.46 tff(7362,plain,
% 4.63/3.46 (~until5(s71)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7361, 7350])).
% 4.63/3.46 tff(7363,plain,
% 4.63/3.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7364,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7365,plain,
% 4.63/3.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s70, s71)) | (~xuntil6(s70)) | until5(s71)),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7364, 7363])).
% 4.63/3.46 tff(7366,plain,
% 4.63/3.46 ((~xuntil6(s70)) | until5(s71)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7365, 7073, 173])).
% 4.63/3.46 tff(7367,plain,
% 4.63/3.46 (~xuntil6(s70)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7366, 7362])).
% 4.63/3.46 tff(7368,plain,
% 4.63/3.46 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7369,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s70) | (~node4(s70)))),
% 4.63/3.46 inference(quant_inst,[status(thm)],[])).
% 4.63/3.46 tff(7370,plain,
% 4.63/3.46 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s70) | (~node4(s70))),
% 4.63/3.46 inference(modus_ponens,[status(thm)],[7369, 7368])).
% 4.63/3.46 tff(7371,plain,
% 4.63/3.46 (~node4(s70)),
% 4.63/3.46 inference(unit_resolution,[status(thm)],[7370, 35, 7082])).
% 4.63/3.46 tff(7372,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s70) | node4(s70) | (~until5(s70)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7373,plain,
% 4.63/3.46 ((node4(s70) | (~until5(s70)) | xuntil6(s70)) <=> (xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 4.63/3.46 inference(rewrite,[status(thm)],[])).
% 4.63/3.46 tff(7374,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s70) | node4(s70) | (~until5(s70))))),
% 4.63/3.46 inference(monotonicity,[status(thm)],[7373])).
% 4.63/3.46 tff(7375,plain,
% 4.63/3.46 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70)))),
% 4.63/3.46 inference(transitivity,[status(thm)],[7374, 7372])).
% 4.63/3.46 tff(7376,plain,
% 4.63/3.46 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s70) | (~until5(s70)) | xuntil6(s70))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7377,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s70) | node4(s70) | (~until5(s70))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7376, 7375])).
% 4.63/3.47 tff(7378,plain,
% 4.63/3.47 (xuntil6(s70) | (~until5(s70))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7377, 155, 7371])).
% 4.63/3.47 tff(7379,plain,
% 4.63/3.47 (~until5(s70)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7378, 7367])).
% 4.63/3.47 tff(7380,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7381,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7382,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s69, s70)) | (~xuntil6(s69)) | until5(s70)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 4.63/3.47 tff(7383,plain,
% 4.63/3.47 ((~xuntil6(s69)) | until5(s70)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7382, 7085, 173])).
% 4.63/3.47 tff(7384,plain,
% 4.63/3.47 (~xuntil6(s69)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7383, 7379])).
% 4.63/3.47 tff(7385,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7386,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s69) | (~node4(s69)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7387,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s69) | (~node4(s69))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7386, 7385])).
% 4.63/3.47 tff(7388,plain,
% 4.63/3.47 (~node4(s69)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7387, 35, 7094])).
% 4.63/3.47 tff(7389,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s69) | node4(s69) | (~until5(s69)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7390,plain,
% 4.63/3.47 ((node4(s69) | (~until5(s69)) | xuntil6(s69)) <=> (xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7391,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s69) | node4(s69) | (~until5(s69))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7390])).
% 4.63/3.47 tff(7392,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7391, 7389])).
% 4.63/3.47 tff(7393,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s69) | (~until5(s69)) | xuntil6(s69))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7394,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s69) | node4(s69) | (~until5(s69))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7393, 7392])).
% 4.63/3.47 tff(7395,plain,
% 4.63/3.47 (xuntil6(s69) | (~until5(s69))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7394, 155, 7388])).
% 4.63/3.47 tff(7396,plain,
% 4.63/3.47 (~until5(s69)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7395, 7384])).
% 4.63/3.47 tff(7397,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7398,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7399,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s68, s69)) | (~xuntil6(s68)) | until5(s69)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7398, 7397])).
% 4.63/3.47 tff(7400,plain,
% 4.63/3.47 ((~xuntil6(s68)) | until5(s69)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7399, 7097, 173])).
% 4.63/3.47 tff(7401,plain,
% 4.63/3.47 (~xuntil6(s68)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7400, 7396])).
% 4.63/3.47 tff(7402,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7403,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s68) | (~node4(s68)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7404,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s68) | (~node4(s68))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 4.63/3.47 tff(7405,plain,
% 4.63/3.47 (~node4(s68)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7404, 35, 7106])).
% 4.63/3.47 tff(7406,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s68) | node4(s68) | (~until5(s68)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7407,plain,
% 4.63/3.47 ((node4(s68) | (~until5(s68)) | xuntil6(s68)) <=> (xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7408,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s68) | node4(s68) | (~until5(s68))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7407])).
% 4.63/3.47 tff(7409,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7408, 7406])).
% 4.63/3.47 tff(7410,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s68) | (~until5(s68)) | xuntil6(s68))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7411,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s68) | node4(s68) | (~until5(s68))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7410, 7409])).
% 4.63/3.47 tff(7412,plain,
% 4.63/3.47 (xuntil6(s68) | (~until5(s68))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7411, 155, 7405])).
% 4.63/3.47 tff(7413,plain,
% 4.63/3.47 (~until5(s68)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7412, 7401])).
% 4.63/3.47 tff(7414,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7415,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7416,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s67, s68)) | (~xuntil6(s67)) | until5(s68)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7415, 7414])).
% 4.63/3.47 tff(7417,plain,
% 4.63/3.47 ((~xuntil6(s67)) | until5(s68)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7416, 7109, 173])).
% 4.63/3.47 tff(7418,plain,
% 4.63/3.47 (~xuntil6(s67)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7417, 7413])).
% 4.63/3.47 tff(7419,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7420,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s67) | (~node4(s67)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7421,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s67) | (~node4(s67))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7420, 7419])).
% 4.63/3.47 tff(7422,plain,
% 4.63/3.47 (~node4(s67)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7421, 35, 7118])).
% 4.63/3.47 tff(7423,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s67) | node4(s67) | (~until5(s67)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7424,plain,
% 4.63/3.47 ((node4(s67) | (~until5(s67)) | xuntil6(s67)) <=> (xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7425,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s67) | node4(s67) | (~until5(s67))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7424])).
% 4.63/3.47 tff(7426,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7425, 7423])).
% 4.63/3.47 tff(7427,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s67) | (~until5(s67)) | xuntil6(s67))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7428,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s67) | node4(s67) | (~until5(s67))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7427, 7426])).
% 4.63/3.47 tff(7429,plain,
% 4.63/3.47 (xuntil6(s67) | (~until5(s67))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7428, 155, 7422])).
% 4.63/3.47 tff(7430,plain,
% 4.63/3.47 (~until5(s67)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7429, 7418])).
% 4.63/3.47 tff(7431,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7432,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7433,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s66, s67)) | (~xuntil6(s66)) | until5(s67)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7432, 7431])).
% 4.63/3.47 tff(7434,plain,
% 4.63/3.47 ((~xuntil6(s66)) | until5(s67)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7433, 7121, 173])).
% 4.63/3.47 tff(7435,plain,
% 4.63/3.47 (~xuntil6(s66)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7434, 7430])).
% 4.63/3.47 tff(7436,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7437,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s66) | (~node4(s66)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7438,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s66) | (~node4(s66))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7437, 7436])).
% 4.63/3.47 tff(7439,plain,
% 4.63/3.47 (~node4(s66)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7438, 35, 7130])).
% 4.63/3.47 tff(7440,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s66) | node4(s66) | (~until5(s66)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7441,plain,
% 4.63/3.47 ((node4(s66) | (~until5(s66)) | xuntil6(s66)) <=> (xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7442,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s66) | node4(s66) | (~until5(s66))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7441])).
% 4.63/3.47 tff(7443,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7442, 7440])).
% 4.63/3.47 tff(7444,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s66) | (~until5(s66)) | xuntil6(s66))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7445,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s66) | node4(s66) | (~until5(s66))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7444, 7443])).
% 4.63/3.47 tff(7446,plain,
% 4.63/3.47 (xuntil6(s66) | (~until5(s66))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7445, 155, 7439])).
% 4.63/3.47 tff(7447,plain,
% 4.63/3.47 (~until5(s66)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7446, 7435])).
% 4.63/3.47 tff(7448,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7449,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7450,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s65, s66)) | (~xuntil6(s65)) | until5(s66)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7449, 7448])).
% 4.63/3.47 tff(7451,plain,
% 4.63/3.47 ((~xuntil6(s65)) | until5(s66)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7450, 7133, 173])).
% 4.63/3.47 tff(7452,plain,
% 4.63/3.47 (~xuntil6(s65)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7451, 7447])).
% 4.63/3.47 tff(7453,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7454,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s65) | (~node4(s65)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7455,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s65) | (~node4(s65))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7454, 7453])).
% 4.63/3.47 tff(7456,plain,
% 4.63/3.47 (~node4(s65)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7455, 35, 7142])).
% 4.63/3.47 tff(7457,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s65) | node4(s65) | (~until5(s65)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7458,plain,
% 4.63/3.47 ((node4(s65) | (~until5(s65)) | xuntil6(s65)) <=> (xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7459,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s65) | node4(s65) | (~until5(s65))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7458])).
% 4.63/3.47 tff(7460,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7459, 7457])).
% 4.63/3.47 tff(7461,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s65) | (~until5(s65)) | xuntil6(s65))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7462,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s65) | node4(s65) | (~until5(s65))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7461, 7460])).
% 4.63/3.47 tff(7463,plain,
% 4.63/3.47 (xuntil6(s65) | (~until5(s65))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7462, 155, 7456])).
% 4.63/3.47 tff(7464,plain,
% 4.63/3.47 (~until5(s65)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7463, 7452])).
% 4.63/3.47 tff(7465,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7466,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7467,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s64, s65)) | (~xuntil6(s64)) | until5(s65)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 4.63/3.47 tff(7468,plain,
% 4.63/3.47 ((~xuntil6(s64)) | until5(s65)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7467, 7145, 173])).
% 4.63/3.47 tff(7469,plain,
% 4.63/3.47 (~xuntil6(s64)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7468, 7464])).
% 4.63/3.47 tff(7470,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7471,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s64) | (~node4(s64)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7472,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s64) | (~node4(s64))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7471, 7470])).
% 4.63/3.47 tff(7473,plain,
% 4.63/3.47 (~node4(s64)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7472, 35, 7154])).
% 4.63/3.47 tff(7474,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s64) | node4(s64) | (~until5(s64)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7475,plain,
% 4.63/3.47 ((node4(s64) | (~until5(s64)) | xuntil6(s64)) <=> (xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7476,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s64) | node4(s64) | (~until5(s64))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7475])).
% 4.63/3.47 tff(7477,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7476, 7474])).
% 4.63/3.47 tff(7478,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s64) | (~until5(s64)) | xuntil6(s64))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7479,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s64) | node4(s64) | (~until5(s64))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 4.63/3.47 tff(7480,plain,
% 4.63/3.47 (xuntil6(s64) | (~until5(s64))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7479, 155, 7473])).
% 4.63/3.47 tff(7481,plain,
% 4.63/3.47 (~until5(s64)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7480, 7469])).
% 4.63/3.47 tff(7482,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7483,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7484,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s63, s64)) | (~xuntil6(s63)) | until5(s64)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7483, 7482])).
% 4.63/3.47 tff(7485,plain,
% 4.63/3.47 ((~xuntil6(s63)) | until5(s64)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7484, 7157, 173])).
% 4.63/3.47 tff(7486,plain,
% 4.63/3.47 (~xuntil6(s63)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7485, 7481])).
% 4.63/3.47 tff(7487,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7488,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s63) | (~node4(s63)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7489,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s63) | (~node4(s63))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7488, 7487])).
% 4.63/3.47 tff(7490,plain,
% 4.63/3.47 (~node4(s63)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7489, 35, 7166])).
% 4.63/3.47 tff(7491,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s63) | node4(s63) | (~until5(s63)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7492,plain,
% 4.63/3.47 ((node4(s63) | (~until5(s63)) | xuntil6(s63)) <=> (xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7493,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s63) | node4(s63) | (~until5(s63))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7492])).
% 4.63/3.47 tff(7494,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7493, 7491])).
% 4.63/3.47 tff(7495,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s63) | (~until5(s63)) | xuntil6(s63))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7496,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s63) | node4(s63) | (~until5(s63))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7495, 7494])).
% 4.63/3.47 tff(7497,plain,
% 4.63/3.47 (xuntil6(s63) | (~until5(s63))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7496, 155, 7490])).
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% 4.63/3.47 (~until5(s63)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7497, 7486])).
% 4.63/3.47 tff(7499,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7500,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7501,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s62, s63)) | (~xuntil6(s62)) | until5(s63)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 4.63/3.47 tff(7502,plain,
% 4.63/3.47 ((~xuntil6(s62)) | until5(s63)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7501, 7169, 173])).
% 4.63/3.47 tff(7503,plain,
% 4.63/3.47 (~xuntil6(s62)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7502, 7498])).
% 4.63/3.47 tff(7504,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s62) | (~node4(s62)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s62) | (~node4(s62)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7505,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s62) | (~node4(s62)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7506,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s62) | (~node4(s62))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 4.63/3.47 tff(7507,plain,
% 4.63/3.47 (~node4(s62)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7506, 35, 7178])).
% 4.63/3.47 tff(7508,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s62) | node4(s62) | (~until5(s62)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7509,plain,
% 4.63/3.47 ((node4(s62) | (~until5(s62)) | xuntil6(s62)) <=> (xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7510,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s62) | node4(s62) | (~until5(s62))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7509])).
% 4.63/3.47 tff(7511,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7510, 7508])).
% 4.63/3.47 tff(7512,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s62) | (~until5(s62)) | xuntil6(s62))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7513,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s62) | node4(s62) | (~until5(s62))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 4.63/3.47 tff(7514,plain,
% 4.63/3.47 (xuntil6(s62) | (~until5(s62))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7513, 155, 7507])).
% 4.63/3.47 tff(7515,plain,
% 4.63/3.47 (~until5(s62)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7514, 7503])).
% 4.63/3.47 tff(7516,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7517,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7518,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s61, s62)) | (~xuntil6(s61)) | until5(s62)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7517, 7516])).
% 4.63/3.47 tff(7519,plain,
% 4.63/3.47 ((~xuntil6(s61)) | until5(s62)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7518, 7181, 173])).
% 4.63/3.47 tff(7520,plain,
% 4.63/3.47 (~xuntil6(s61)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7519, 7515])).
% 4.63/3.47 tff(7521,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7522,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s61) | (~node4(s61)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7523,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s61) | (~node4(s61))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7522, 7521])).
% 4.63/3.47 tff(7524,plain,
% 4.63/3.47 (~node4(s61)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7523, 35, 7190])).
% 4.63/3.47 tff(7525,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s61) | node4(s61) | (~until5(s61)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7526,plain,
% 4.63/3.47 ((node4(s61) | (~until5(s61)) | xuntil6(s61)) <=> (xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7527,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s61) | (~until5(s61)) | xuntil6(s61))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s61) | node4(s61) | (~until5(s61))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7526])).
% 4.63/3.47 tff(7528,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s61) | (~until5(s61)) | xuntil6(s61))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7527, 7525])).
% 4.63/3.47 tff(7529,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s61) | (~until5(s61)) | xuntil6(s61))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7530,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s61) | node4(s61) | (~until5(s61))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 4.63/3.47 tff(7531,plain,
% 4.63/3.47 (xuntil6(s61) | (~until5(s61))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7530, 155, 7524])).
% 4.63/3.47 tff(7532,plain,
% 4.63/3.47 (~until5(s61)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7531, 7520])).
% 4.63/3.47 tff(7533,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7534,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7535,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s60, s61)) | (~xuntil6(s60)) | until5(s61)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7534, 7533])).
% 4.63/3.47 tff(7536,plain,
% 4.63/3.47 ((~xuntil6(s60)) | until5(s61)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7535, 7193, 173])).
% 4.63/3.47 tff(7537,plain,
% 4.63/3.47 (~xuntil6(s60)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7536, 7532])).
% 4.63/3.47 tff(7538,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7539,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s60) | (~node4(s60)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7540,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s60) | (~node4(s60))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7539, 7538])).
% 4.63/3.47 tff(7541,plain,
% 4.63/3.47 (~node4(s60)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7540, 35, 7202])).
% 4.63/3.47 tff(7542,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s60) | node4(s60) | (~until5(s60)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7543,plain,
% 4.63/3.47 ((node4(s60) | (~until5(s60)) | xuntil6(s60)) <=> (xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7544,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s60) | (~until5(s60)) | xuntil6(s60))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s60) | node4(s60) | (~until5(s60))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7543])).
% 4.63/3.47 tff(7545,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s60) | (~until5(s60)) | xuntil6(s60))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s60) | node4(s60) | (~until5(s60)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7544, 7542])).
% 4.63/3.47 tff(7546,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s60) | (~until5(s60)) | xuntil6(s60))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7547,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s60) | node4(s60) | (~until5(s60))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7546, 7545])).
% 4.63/3.47 tff(7548,plain,
% 4.63/3.47 (xuntil6(s60) | (~until5(s60))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7547, 155, 7541])).
% 4.63/3.47 tff(7549,plain,
% 4.63/3.47 (~until5(s60)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7548, 7537])).
% 4.63/3.47 tff(7550,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7551,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7552,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s59, s60)) | (~xuntil6(s59)) | until5(s60)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7551, 7550])).
% 4.63/3.47 tff(7553,plain,
% 4.63/3.47 ((~xuntil6(s59)) | until5(s60)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7552, 7205, 173])).
% 4.63/3.47 tff(7554,plain,
% 4.63/3.47 (~xuntil6(s59)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7553, 7549])).
% 4.63/3.47 tff(7555,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7556,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s59) | (~node4(s59)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7557,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s59) | (~node4(s59))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7556, 7555])).
% 4.63/3.47 tff(7558,plain,
% 4.63/3.47 (~node4(s59)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7557, 35, 7214])).
% 4.63/3.47 tff(7559,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s59) | node4(s59) | (~until5(s59)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7560,plain,
% 4.63/3.47 ((node4(s59) | (~until5(s59)) | xuntil6(s59)) <=> (xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7561,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s59) | node4(s59) | (~until5(s59))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7560])).
% 4.63/3.47 tff(7562,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7561, 7559])).
% 4.63/3.47 tff(7563,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s59) | (~until5(s59)) | xuntil6(s59))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7564,plain,
% 4.63/3.47 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s59) | node4(s59) | (~until5(s59))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7563, 7562])).
% 4.63/3.47 tff(7565,plain,
% 4.63/3.47 (xuntil6(s59) | (~until5(s59))),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7564, 155, 7558])).
% 4.63/3.47 tff(7566,plain,
% 4.63/3.47 (~until5(s59)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7565, 7554])).
% 4.63/3.47 tff(7567,plain,
% 4.63/3.47 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7568,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7569,plain,
% 4.63/3.47 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s58, s59)) | (~xuntil6(s58)) | until5(s59)),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 4.63/3.47 tff(7570,plain,
% 4.63/3.47 ((~xuntil6(s58)) | until5(s59)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7569, 7217, 173])).
% 4.63/3.47 tff(7571,plain,
% 4.63/3.47 (~xuntil6(s58)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7570, 7566])).
% 4.63/3.47 tff(7572,plain,
% 4.63/3.47 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7573,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s58) | (~node4(s58)))),
% 4.63/3.47 inference(quant_inst,[status(thm)],[])).
% 4.63/3.47 tff(7574,plain,
% 4.63/3.47 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s58) | (~node4(s58))),
% 4.63/3.47 inference(modus_ponens,[status(thm)],[7573, 7572])).
% 4.63/3.47 tff(7575,plain,
% 4.63/3.47 (~node4(s58)),
% 4.63/3.47 inference(unit_resolution,[status(thm)],[7574, 35, 7226])).
% 4.63/3.47 tff(7576,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s58) | node4(s58) | (~until5(s58)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7577,plain,
% 4.63/3.47 ((node4(s58) | (~until5(s58)) | xuntil6(s58)) <=> (xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 4.63/3.47 inference(rewrite,[status(thm)],[])).
% 4.63/3.47 tff(7578,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s58) | node4(s58) | (~until5(s58))))),
% 4.63/3.47 inference(monotonicity,[status(thm)],[7577])).
% 4.63/3.47 tff(7579,plain,
% 4.63/3.47 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58)))),
% 4.63/3.47 inference(transitivity,[status(thm)],[7578, 7576])).
% 4.63/3.47 tff(7580,plain,
% 4.63/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s58) | (~until5(s58)) | xuntil6(s58))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7581,plain,
% 4.63/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s58) | node4(s58) | (~until5(s58))),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7580, 7579])).
% 4.63/3.48 tff(7582,plain,
% 4.63/3.48 (xuntil6(s58) | (~until5(s58))),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7581, 155, 7575])).
% 4.63/3.48 tff(7583,plain,
% 4.63/3.48 (~until5(s58)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7582, 7571])).
% 4.63/3.48 tff(7584,plain,
% 4.63/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7585,plain,
% 4.63/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7586,plain,
% 4.63/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s57, s58)) | (~xuntil6(s57)) | until5(s58)),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7585, 7584])).
% 4.63/3.48 tff(7587,plain,
% 4.63/3.48 ((~xuntil6(s57)) | until5(s58)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7586, 7229, 173])).
% 4.63/3.48 tff(7588,plain,
% 4.63/3.48 (~xuntil6(s57)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7587, 7583])).
% 4.63/3.48 tff(7589,plain,
% 4.63/3.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7590,plain,
% 4.63/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s57) | (~node4(s57)))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7591,plain,
% 4.63/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s57) | (~node4(s57))),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7590, 7589])).
% 4.63/3.48 tff(7592,plain,
% 4.63/3.48 (~node4(s57)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7591, 35, 7238])).
% 4.63/3.48 tff(7593,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s57) | node4(s57) | (~until5(s57)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7594,plain,
% 4.63/3.48 ((node4(s57) | (~until5(s57)) | xuntil6(s57)) <=> (xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7595,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s57) | node4(s57) | (~until5(s57))))),
% 4.63/3.48 inference(monotonicity,[status(thm)],[7594])).
% 4.63/3.48 tff(7596,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57)))),
% 4.63/3.48 inference(transitivity,[status(thm)],[7595, 7593])).
% 4.63/3.48 tff(7597,plain,
% 4.63/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s57) | (~until5(s57)) | xuntil6(s57))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7598,plain,
% 4.63/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s57) | node4(s57) | (~until5(s57))),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7597, 7596])).
% 4.63/3.48 tff(7599,plain,
% 4.63/3.48 (xuntil6(s57) | (~until5(s57))),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7598, 155, 7592])).
% 4.63/3.48 tff(7600,plain,
% 4.63/3.48 (~until5(s57)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7599, 7588])).
% 4.63/3.48 tff(7601,plain,
% 4.63/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7602,plain,
% 4.63/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7603,plain,
% 4.63/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s56, s57)) | (~xuntil6(s56)) | until5(s57)),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7602, 7601])).
% 4.63/3.48 tff(7604,plain,
% 4.63/3.48 ((~xuntil6(s56)) | until5(s57)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7603, 7241, 173])).
% 4.63/3.48 tff(7605,plain,
% 4.63/3.48 (~xuntil6(s56)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7604, 7600])).
% 4.63/3.48 tff(7606,plain,
% 4.63/3.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7607,plain,
% 4.63/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s56) | (~node4(s56)))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7608,plain,
% 4.63/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s56) | (~node4(s56))),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7607, 7606])).
% 4.63/3.48 tff(7609,plain,
% 4.63/3.48 (~node4(s56)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7608, 35, 7250])).
% 4.63/3.48 tff(7610,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s56) | node4(s56) | (~until5(s56)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7611,plain,
% 4.63/3.48 ((node4(s56) | (~until5(s56)) | xuntil6(s56)) <=> (xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7612,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s56) | node4(s56) | (~until5(s56))))),
% 4.63/3.48 inference(monotonicity,[status(thm)],[7611])).
% 4.63/3.48 tff(7613,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56)))),
% 4.63/3.48 inference(transitivity,[status(thm)],[7612, 7610])).
% 4.63/3.48 tff(7614,plain,
% 4.63/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s56) | (~until5(s56)) | xuntil6(s56))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7615,plain,
% 4.63/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s56) | node4(s56) | (~until5(s56))),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7614, 7613])).
% 4.63/3.48 tff(7616,plain,
% 4.63/3.48 (xuntil6(s56) | (~until5(s56))),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7615, 155, 7609])).
% 4.63/3.48 tff(7617,plain,
% 4.63/3.48 (~until5(s56)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7616, 7605])).
% 4.63/3.48 tff(7618,plain,
% 4.63/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7619,plain,
% 4.63/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7620,plain,
% 4.63/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s55, s56)) | (~xuntil6(s55)) | until5(s56)),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7619, 7618])).
% 4.63/3.48 tff(7621,plain,
% 4.63/3.48 ((~xuntil6(s55)) | until5(s56)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7620, 7253, 173])).
% 4.63/3.48 tff(7622,plain,
% 4.63/3.48 (~xuntil6(s55)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7621, 7617])).
% 4.63/3.48 tff(7623,plain,
% 4.63/3.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7624,plain,
% 4.63/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s55) | (~node4(s55)))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7625,plain,
% 4.63/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s55) | (~node4(s55))),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7624, 7623])).
% 4.63/3.48 tff(7626,plain,
% 4.63/3.48 (~node4(s55)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7625, 35, 7262])).
% 4.63/3.48 tff(7627,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s55) | node4(s55) | (~until5(s55)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7628,plain,
% 4.63/3.48 ((node4(s55) | (~until5(s55)) | xuntil6(s55)) <=> (xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7629,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s55) | node4(s55) | (~until5(s55))))),
% 4.63/3.48 inference(monotonicity,[status(thm)],[7628])).
% 4.63/3.48 tff(7630,plain,
% 4.63/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55)))),
% 4.63/3.48 inference(transitivity,[status(thm)],[7629, 7627])).
% 4.63/3.48 tff(7631,plain,
% 4.63/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s55) | (~until5(s55)) | xuntil6(s55))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.63/3.48 tff(7632,plain,
% 4.63/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s55) | node4(s55) | (~until5(s55))),
% 4.63/3.48 inference(modus_ponens,[status(thm)],[7631, 7630])).
% 4.63/3.48 tff(7633,plain,
% 4.63/3.48 (xuntil6(s55) | (~until5(s55))),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7632, 155, 7626])).
% 4.63/3.48 tff(7634,plain,
% 4.63/3.48 (~until5(s55)),
% 4.63/3.48 inference(unit_resolution,[status(thm)],[7633, 7622])).
% 4.63/3.48 tff(7635,plain,
% 4.63/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))),
% 4.63/3.48 inference(rewrite,[status(thm)],[])).
% 4.63/3.48 tff(7636,plain,
% 4.63/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55))),
% 4.63/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7637,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s54, s55)) | (~xuntil6(s54)) | until5(s55)),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 4.72/3.48 tff(7638,plain,
% 4.72/3.48 ((~xuntil6(s54)) | until5(s55)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7637, 7265, 173])).
% 4.72/3.48 tff(7639,plain,
% 4.72/3.48 (~xuntil6(s54)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7638, 7634])).
% 4.72/3.48 tff(7640,plain,
% 4.72/3.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7641,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s54) | (~node4(s54)))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7642,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s54) | (~node4(s54))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7641, 7640])).
% 4.72/3.48 tff(7643,plain,
% 4.72/3.48 (~node4(s54)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7642, 35, 7274])).
% 4.72/3.48 tff(7644,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s54) | node4(s54) | (~until5(s54)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7645,plain,
% 4.72/3.48 ((node4(s54) | (~until5(s54)) | xuntil6(s54)) <=> (xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7646,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s54) | node4(s54) | (~until5(s54))))),
% 4.72/3.48 inference(monotonicity,[status(thm)],[7645])).
% 4.72/3.48 tff(7647,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54)))),
% 4.72/3.48 inference(transitivity,[status(thm)],[7646, 7644])).
% 4.72/3.48 tff(7648,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s54) | (~until5(s54)) | xuntil6(s54))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7649,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s54) | node4(s54) | (~until5(s54))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7648, 7647])).
% 4.72/3.48 tff(7650,plain,
% 4.72/3.48 (xuntil6(s54) | (~until5(s54))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7649, 155, 7643])).
% 4.72/3.48 tff(7651,plain,
% 4.72/3.48 (~until5(s54)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7650, 7639])).
% 4.72/3.48 tff(7652,plain,
% 4.72/3.48 (~xuntil6(s53)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[4263, 7651])).
% 4.72/3.48 tff(7653,plain,
% 4.72/3.48 (~node4(s53)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[4216, 35, 7275])).
% 4.72/3.48 tff(7654,plain,
% 4.72/3.48 (xuntil6(s53) | (~until5(s53))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[4257, 155, 7653])).
% 4.72/3.48 tff(7655,plain,
% 4.72/3.48 (~until5(s53)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7654, 7652])).
% 4.72/3.48 tff(7656,plain,
% 4.72/3.48 (~xuntil6(s52)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[4207, 7655])).
% 4.72/3.48 tff(7657,plain,
% 4.72/3.48 (~node4(s52)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[4021, 35, 7276])).
% 4.72/3.48 tff(7658,plain,
% 4.72/3.48 (xuntil6(s52) | (~until5(s52))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[4016, 155, 7657])).
% 4.72/3.48 tff(7659,plain,
% 4.72/3.48 (~until5(s52)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7658, 7656])).
% 4.72/3.48 tff(7660,plain,
% 4.72/3.48 (~xuntil6(s51)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[4009, 7659])).
% 4.72/3.48 tff(7661,plain,
% 4.72/3.48 (~node4(s51)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3964, 35, 7277])).
% 4.72/3.48 tff(7662,plain,
% 4.72/3.48 (xuntil6(s51) | (~until5(s51))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3972, 155, 7661])).
% 4.72/3.48 tff(7663,plain,
% 4.72/3.48 (~until5(s51)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7662, 7660])).
% 4.72/3.48 tff(7664,plain,
% 4.72/3.48 (~xuntil6(s50)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3978, 7663])).
% 4.72/3.48 tff(7665,plain,
% 4.72/3.48 (~node4(s50)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3960, 35, 7278])).
% 4.72/3.48 tff(7666,plain,
% 4.72/3.48 (xuntil6(s50) | (~until5(s50))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3985, 155, 7665])).
% 4.72/3.48 tff(7667,plain,
% 4.72/3.48 (~until5(s50)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7666, 7664])).
% 4.72/3.48 tff(7668,plain,
% 4.72/3.48 (~xuntil6(s49)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3895, 7667])).
% 4.72/3.48 tff(7669,plain,
% 4.72/3.48 (~node4(s49)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3807, 35, 7279])).
% 4.72/3.48 tff(7670,plain,
% 4.72/3.48 (xuntil6(s49) | (~until5(s49))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3889, 155, 7669])).
% 4.72/3.48 tff(7671,plain,
% 4.72/3.48 (~until5(s49)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7670, 7668])).
% 4.72/3.48 tff(7672,plain,
% 4.72/3.48 (~xuntil6(s48)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3798, 7671])).
% 4.72/3.48 tff(7673,plain,
% 4.72/3.48 (~node4(s48)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3751, 35, 7280])).
% 4.72/3.48 tff(7674,plain,
% 4.72/3.48 (xuntil6(s48) | (~until5(s48))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3792, 155, 7673])).
% 4.72/3.48 tff(7675,plain,
% 4.72/3.48 (~until5(s48)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7674, 7672])).
% 4.72/3.48 tff(7676,plain,
% 4.72/3.48 (~xuntil6(s47)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3742, 7675])).
% 4.72/3.48 tff(7677,plain,
% 4.72/3.48 (~node4(s47)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[38, 35, 7281])).
% 4.72/3.48 tff(7678,plain,
% 4.72/3.48 (xuntil6(s47) | (~until5(s47))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3736, 155, 7677])).
% 4.72/3.48 tff(7679,plain,
% 4.72/3.48 (~until5(s47)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7678, 7676])).
% 4.72/3.48 tff(7680,plain,
% 4.72/3.48 (~xuntil6(s46)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3729, 7679])).
% 4.72/3.48 tff(7681,plain,
% 4.72/3.48 (~until5(s30)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3257, 7680, 7282])).
% 4.72/3.48 tff(7682,plain,
% 4.72/3.48 (~always3(s45)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3004, 7282])).
% 4.72/3.48 tff(7683,plain,
% 4.72/3.48 (~always3(s44)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3016, 7682])).
% 4.72/3.48 tff(7684,plain,
% 4.72/3.48 (~always3(s43)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3028, 7683])).
% 4.72/3.48 tff(7685,plain,
% 4.72/3.48 (~always3(s42)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3040, 7684])).
% 4.72/3.48 tff(7686,plain,
% 4.72/3.48 (~always3(s41)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3052, 7685])).
% 4.72/3.48 tff(7687,plain,
% 4.72/3.48 (~always3(s40)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3064, 7686])).
% 4.72/3.48 tff(7688,plain,
% 4.72/3.48 (~always3(s39)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[3076, 7687])).
% 4.72/3.48 tff(7689,plain,
% 4.72/3.48 (~always3(s38)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[2780, 7688])).
% 4.72/3.48 tff(7690,plain,
% 4.72/3.48 (~always3(s37)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[2615, 7689])).
% 4.72/3.48 tff(7691,plain,
% 4.72/3.48 (~always3(s36)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[2644, 7690])).
% 4.72/3.48 tff(7692,plain,
% 4.72/3.48 (~always3(s35)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[2656, 7691])).
% 4.72/3.48 tff(7693,plain,
% 4.72/3.48 (~always3(s34)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[2668, 7692])).
% 4.72/3.48 tff(7694,plain,
% 4.72/3.48 (~always3(s33)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[2680, 7693])).
% 4.72/3.48 tff(7695,plain,
% 4.72/3.48 (~always3(s32)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[2547, 7694])).
% 4.72/3.48 tff(7696,plain,
% 4.72/3.48 (~always3(s31)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[2509, 7695])).
% 4.72/3.48 tff(7697,plain,
% 4.72/3.48 (~always3(s30)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1564, 7696])).
% 4.72/3.48 tff(7698,plain,
% 4.72/3.48 (~always3(s29)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[994, 7697])).
% 4.72/3.48 tff(7699,plain,
% 4.72/3.48 (~always3(s28)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1039, 7698])).
% 4.72/3.48 tff(7700,plain,
% 4.72/3.48 (~always3(s27)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1068, 7699])).
% 4.72/3.48 tff(7701,plain,
% 4.72/3.48 (~always3(s26)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1097, 7700])).
% 4.72/3.48 tff(7702,plain,
% 4.72/3.48 (~always3(s25)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1126, 7701])).
% 4.72/3.48 tff(7703,plain,
% 4.72/3.48 (~always3(s24)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1155, 7702])).
% 4.72/3.48 tff(7704,plain,
% 4.72/3.48 (~always3(s23)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1184, 7703])).
% 4.72/3.48 tff(7705,plain,
% 4.72/3.48 (~always3(s22)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1213, 7704])).
% 4.72/3.48 tff(7706,plain,
% 4.72/3.48 (~always3(s21)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1242, 7705])).
% 4.72/3.48 tff(7707,plain,
% 4.72/3.48 (~always3(s20)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1254, 7706])).
% 4.72/3.48 tff(7708,plain,
% 4.72/3.48 (~always3(s19)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1266, 7707])).
% 4.72/3.48 tff(7709,plain,
% 4.72/3.48 (~always3(s18)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1278, 7708])).
% 4.72/3.48 tff(7710,plain,
% 4.72/3.48 (~always3(s17)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1290, 7709])).
% 4.72/3.48 tff(7711,plain,
% 4.72/3.48 (~always3(s16)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1302, 7710])).
% 4.72/3.48 tff(7712,plain,
% 4.72/3.48 (~always3(s15)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1314, 7711])).
% 4.72/3.48 tff(7713,plain,
% 4.72/3.48 (~always3(s14)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1326, 7712])).
% 4.72/3.48 tff(7714,plain,
% 4.72/3.48 (~always3(s13)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1338, 7713])).
% 4.72/3.48 tff(7715,plain,
% 4.72/3.48 (~always3(s12)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1354, 7714])).
% 4.72/3.48 tff(7716,plain,
% 4.72/3.48 (~always3(s11)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[490, 7715])).
% 4.72/3.48 tff(7717,plain,
% 4.72/3.48 (~always3(s10)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[136, 7716])).
% 4.72/3.48 tff(7718,plain,
% 4.72/3.48 (~always3(s9)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[201, 7717])).
% 4.72/3.48 tff(7719,plain,
% 4.72/3.48 (~always3(s8)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[230, 7718])).
% 4.72/3.48 tff(7720,plain,
% 4.72/3.48 (~always3(s7)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[259, 7719])).
% 4.72/3.48 tff(7721,plain,
% 4.72/3.48 (~always3(s6)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[288, 7720])).
% 4.72/3.48 tff(7722,plain,
% 4.72/3.48 (~always3(s5)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[312, 7721])).
% 4.72/3.48 tff(7723,plain,
% 4.72/3.48 (~always3(s4)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[324, 7722])).
% 4.72/3.48 tff(7724,plain,
% 4.72/3.48 (~always3(s3)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[336, 7723])).
% 4.72/3.48 tff(7725,plain,
% 4.72/3.48 (~always3(s2)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[348, 7724])).
% 4.72/3.48 tff(7726,plain,
% 4.72/3.48 (~always3(s1)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[360, 7725])).
% 4.72/3.48 tff(7727,plain,
% 4.72/3.48 (~node4(s1)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[364, 35, 7726])).
% 4.72/3.48 tff(7728,plain,
% 4.72/3.48 (~always3(s0)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[376, 7726])).
% 4.72/3.48 tff(7729,plain,
% 4.72/3.48 (~node4(s0)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[380, 35, 7728])).
% 4.72/3.48 tff(7730,plain,
% 4.72/3.48 (xuntil6(s0)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[391, 7729])).
% 4.72/3.48 tff(7731,plain,
% 4.72/3.48 (until5(s1)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[396, 7730])).
% 4.72/3.48 tff(7732,plain,
% 4.72/3.48 (xuntil6(s1)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[403, 155, 7731, 7727])).
% 4.72/3.48 tff(7733,plain,
% 4.72/3.48 (until5(s2)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[408, 7732])).
% 4.72/3.48 tff(7734,plain,
% 4.72/3.48 (~node4(s2)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[412, 35, 7725])).
% 4.72/3.48 tff(7735,plain,
% 4.72/3.48 (xuntil6(s2) | (~until5(s2))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[419, 155, 7734])).
% 4.72/3.48 tff(7736,plain,
% 4.72/3.48 (xuntil6(s2)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7735, 7733])).
% 4.72/3.48 tff(7737,plain,
% 4.72/3.48 (until5(s3)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[425, 7736])).
% 4.72/3.48 tff(7738,plain,
% 4.72/3.48 (~node4(s3)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[429, 35, 7724])).
% 4.72/3.48 tff(7739,plain,
% 4.72/3.48 (xuntil6(s3) | (~until5(s3))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[436, 155, 7738])).
% 4.72/3.48 tff(7740,plain,
% 4.72/3.48 (xuntil6(s3)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7739, 7737])).
% 4.72/3.48 tff(7741,plain,
% 4.72/3.48 (until5(s4)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[442, 7740])).
% 4.72/3.48 tff(7742,plain,
% 4.72/3.48 (~node4(s4)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[446, 35, 7723])).
% 4.72/3.48 tff(7743,plain,
% 4.72/3.48 (xuntil6(s4) | (~until5(s4))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[453, 155, 7742])).
% 4.72/3.48 tff(7744,plain,
% 4.72/3.48 (xuntil6(s4)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7743, 7741])).
% 4.72/3.48 tff(7745,plain,
% 4.72/3.48 (until5(s5)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[459, 7744])).
% 4.72/3.48 tff(7746,plain,
% 4.72/3.48 (~node4(s5)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[463, 35, 7722])).
% 4.72/3.48 tff(7747,plain,
% 4.72/3.48 (xuntil6(s5) | (~until5(s5))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[470, 155, 7746])).
% 4.72/3.48 tff(7748,plain,
% 4.72/3.48 (xuntil6(s5)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7747, 7745])).
% 4.72/3.48 tff(7749,plain,
% 4.72/3.48 (until5(s6)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[476, 7748])).
% 4.72/3.48 tff(7750,plain,
% 4.72/3.48 (~node4(s6)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[292, 35, 7721])).
% 4.72/3.48 tff(7751,plain,
% 4.72/3.48 (xuntil6(s6) | (~until5(s6))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[299, 155, 7750])).
% 4.72/3.48 tff(7752,plain,
% 4.72/3.48 (xuntil6(s6)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7751, 7749])).
% 4.72/3.48 tff(7753,plain,
% 4.72/3.48 (until5(s7)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[279, 7752])).
% 4.72/3.48 tff(7754,plain,
% 4.72/3.48 (~node4(s7)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[263, 35, 7720])).
% 4.72/3.48 tff(7755,plain,
% 4.72/3.48 (xuntil6(s7) | (~until5(s7))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[270, 155, 7754])).
% 4.72/3.48 tff(7756,plain,
% 4.72/3.48 (xuntil6(s7)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7755, 7753])).
% 4.72/3.48 tff(7757,plain,
% 4.72/3.48 (until5(s8)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[250, 7756])).
% 4.72/3.48 tff(7758,plain,
% 4.72/3.48 (~node4(s8)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[234, 35, 7719])).
% 4.72/3.48 tff(7759,plain,
% 4.72/3.48 (xuntil6(s8) | (~until5(s8))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[241, 155, 7758])).
% 4.72/3.48 tff(7760,plain,
% 4.72/3.48 (xuntil6(s8)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7759, 7757])).
% 4.72/3.48 tff(7761,plain,
% 4.72/3.48 (until5(s9)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[221, 7760])).
% 4.72/3.48 tff(7762,plain,
% 4.72/3.48 (~node4(s9)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[205, 35, 7718])).
% 4.72/3.48 tff(7763,plain,
% 4.72/3.48 (xuntil6(s9) | (~until5(s9))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[212, 155, 7762])).
% 4.72/3.48 tff(7764,plain,
% 4.72/3.48 (xuntil6(s9)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7763, 7761])).
% 4.72/3.48 tff(7765,plain,
% 4.72/3.48 (until5(s10)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[192, 7764])).
% 4.72/3.48 tff(7766,plain,
% 4.72/3.48 (~node4(s10)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[140, 35, 7717])).
% 4.72/3.48 tff(7767,plain,
% 4.72/3.48 (xuntil6(s10) | (~until5(s10))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[184, 155, 7766])).
% 4.72/3.48 tff(7768,plain,
% 4.72/3.48 (xuntil6(s10)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7767, 7765])).
% 4.72/3.48 tff(7769,plain,
% 4.72/3.48 (until5(s11)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[177, 7768])).
% 4.72/3.48 tff(7770,plain,
% 4.72/3.48 (~node4(s11)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[144, 35, 7716])).
% 4.72/3.48 tff(7771,plain,
% 4.72/3.48 (xuntil6(s11) | (~until5(s11))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[161, 155, 7770])).
% 4.72/3.48 tff(7772,plain,
% 4.72/3.48 (xuntil6(s11)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7771, 7769])).
% 4.72/3.48 tff(7773,plain,
% 4.72/3.48 (until5(s12)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[979, 7772])).
% 4.72/3.48 tff(7774,plain,
% 4.72/3.48 (~node4(s12)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1358, 35, 7715])).
% 4.72/3.48 tff(7775,plain,
% 4.72/3.48 (xuntil6(s12) | (~until5(s12))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1365, 155, 7774])).
% 4.72/3.48 tff(7776,plain,
% 4.72/3.48 (xuntil6(s12)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7775, 7773])).
% 4.72/3.48 tff(7777,plain,
% 4.72/3.48 (until5(s13)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1371, 7776])).
% 4.72/3.48 tff(7778,plain,
% 4.72/3.48 (~node4(s13)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1342, 35, 7714])).
% 4.72/3.48 tff(7779,plain,
% 4.72/3.48 (xuntil6(s13) | (~until5(s13))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1378, 155, 7778])).
% 4.72/3.48 tff(7780,plain,
% 4.72/3.48 (xuntil6(s13)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7779, 7777])).
% 4.72/3.48 tff(7781,plain,
% 4.72/3.48 (until5(s14)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1383, 7780])).
% 4.72/3.48 tff(7782,plain,
% 4.72/3.48 (~node4(s14)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1387, 35, 7713])).
% 4.72/3.48 tff(7783,plain,
% 4.72/3.48 (xuntil6(s14) | (~until5(s14))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1394, 155, 7782])).
% 4.72/3.48 tff(7784,plain,
% 4.72/3.48 (xuntil6(s14)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7783, 7781])).
% 4.72/3.48 tff(7785,plain,
% 4.72/3.48 (until5(s15)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1400, 7784])).
% 4.72/3.48 tff(7786,plain,
% 4.72/3.48 (~node4(s15)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1404, 35, 7712])).
% 4.72/3.48 tff(7787,plain,
% 4.72/3.48 (xuntil6(s15) | (~until5(s15))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1411, 155, 7786])).
% 4.72/3.48 tff(7788,plain,
% 4.72/3.48 (xuntil6(s15)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7787, 7785])).
% 4.72/3.48 tff(7789,plain,
% 4.72/3.48 (until5(s16)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1417, 7788])).
% 4.72/3.48 tff(7790,plain,
% 4.72/3.48 (~node4(s16)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1421, 35, 7711])).
% 4.72/3.48 tff(7791,plain,
% 4.72/3.48 (xuntil6(s16) | (~until5(s16))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1428, 155, 7790])).
% 4.72/3.48 tff(7792,plain,
% 4.72/3.48 (xuntil6(s16)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7791, 7789])).
% 4.72/3.48 tff(7793,plain,
% 4.72/3.48 (until5(s17)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1434, 7792])).
% 4.72/3.48 tff(7794,plain,
% 4.72/3.48 (~node4(s17)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1438, 35, 7710])).
% 4.72/3.48 tff(7795,plain,
% 4.72/3.48 (xuntil6(s17) | (~until5(s17))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1445, 155, 7794])).
% 4.72/3.48 tff(7796,plain,
% 4.72/3.48 (xuntil6(s17)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7795, 7793])).
% 4.72/3.48 tff(7797,plain,
% 4.72/3.48 (until5(s18)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1451, 7796])).
% 4.72/3.48 tff(7798,plain,
% 4.72/3.48 (~node4(s18)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1455, 35, 7709])).
% 4.72/3.48 tff(7799,plain,
% 4.72/3.48 (xuntil6(s18) | (~until5(s18))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1462, 155, 7798])).
% 4.72/3.48 tff(7800,plain,
% 4.72/3.48 (xuntil6(s18)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7799, 7797])).
% 4.72/3.48 tff(7801,plain,
% 4.72/3.48 (until5(s19)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1468, 7800])).
% 4.72/3.48 tff(7802,plain,
% 4.72/3.48 (~node4(s19)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1472, 35, 7708])).
% 4.72/3.48 tff(7803,plain,
% 4.72/3.48 (xuntil6(s19) | (~until5(s19))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1479, 155, 7802])).
% 4.72/3.48 tff(7804,plain,
% 4.72/3.48 (xuntil6(s19)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7803, 7801])).
% 4.72/3.48 tff(7805,plain,
% 4.72/3.48 (until5(s20)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1485, 7804])).
% 4.72/3.48 tff(7806,plain,
% 4.72/3.48 (~node4(s20)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1489, 35, 7707])).
% 4.72/3.48 tff(7807,plain,
% 4.72/3.48 (xuntil6(s20) | (~until5(s20))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1496, 155, 7806])).
% 4.72/3.48 tff(7808,plain,
% 4.72/3.48 (xuntil6(s20)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7807, 7805])).
% 4.72/3.48 tff(7809,plain,
% 4.72/3.48 (until5(s21)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1502, 7808])).
% 4.72/3.48 tff(7810,plain,
% 4.72/3.48 (~node4(s21)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1506, 35, 7706])).
% 4.72/3.48 tff(7811,plain,
% 4.72/3.48 (xuntil6(s21) | (~until5(s21))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1513, 155, 7810])).
% 4.72/3.48 tff(7812,plain,
% 4.72/3.48 (xuntil6(s21)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7811, 7809])).
% 4.72/3.48 tff(7813,plain,
% 4.72/3.48 (until5(s22)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1233, 7812])).
% 4.72/3.48 tff(7814,plain,
% 4.72/3.48 (~node4(s22)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1217, 35, 7705])).
% 4.72/3.48 tff(7815,plain,
% 4.72/3.48 (xuntil6(s22) | (~until5(s22))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1224, 155, 7814])).
% 4.72/3.48 tff(7816,plain,
% 4.72/3.48 (xuntil6(s22)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7815, 7813])).
% 4.72/3.48 tff(7817,plain,
% 4.72/3.48 (until5(s23)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1204, 7816])).
% 4.72/3.48 tff(7818,plain,
% 4.72/3.48 (~node4(s23)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1188, 35, 7704])).
% 4.72/3.48 tff(7819,plain,
% 4.72/3.48 (xuntil6(s23) | (~until5(s23))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1195, 155, 7818])).
% 4.72/3.48 tff(7820,plain,
% 4.72/3.48 (xuntil6(s23)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7819, 7817])).
% 4.72/3.48 tff(7821,plain,
% 4.72/3.48 (until5(s24)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1175, 7820])).
% 4.72/3.48 tff(7822,plain,
% 4.72/3.48 (~node4(s24)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1159, 35, 7703])).
% 4.72/3.48 tff(7823,plain,
% 4.72/3.48 (xuntil6(s24) | (~until5(s24))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1166, 155, 7822])).
% 4.72/3.48 tff(7824,plain,
% 4.72/3.48 (xuntil6(s24)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7823, 7821])).
% 4.72/3.48 tff(7825,plain,
% 4.72/3.48 (until5(s25)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1146, 7824])).
% 4.72/3.48 tff(7826,plain,
% 4.72/3.48 (~node4(s25)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1130, 35, 7702])).
% 4.72/3.48 tff(7827,plain,
% 4.72/3.48 (xuntil6(s25) | (~until5(s25))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1137, 155, 7826])).
% 4.72/3.48 tff(7828,plain,
% 4.72/3.48 (xuntil6(s25)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7827, 7825])).
% 4.72/3.48 tff(7829,plain,
% 4.72/3.48 (until5(s26)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1117, 7828])).
% 4.72/3.48 tff(7830,plain,
% 4.72/3.48 (~node4(s26)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1101, 35, 7701])).
% 4.72/3.48 tff(7831,plain,
% 4.72/3.48 (xuntil6(s26) | (~until5(s26))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1108, 155, 7830])).
% 4.72/3.48 tff(7832,plain,
% 4.72/3.48 (xuntil6(s26)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7831, 7829])).
% 4.72/3.48 tff(7833,plain,
% 4.72/3.48 (until5(s27)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1088, 7832])).
% 4.72/3.48 tff(7834,plain,
% 4.72/3.48 (~node4(s27)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1072, 35, 7700])).
% 4.72/3.48 tff(7835,plain,
% 4.72/3.48 (xuntil6(s27) | (~until5(s27))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1079, 155, 7834])).
% 4.72/3.48 tff(7836,plain,
% 4.72/3.48 (xuntil6(s27)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7835, 7833])).
% 4.72/3.48 tff(7837,plain,
% 4.72/3.48 (until5(s28)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1059, 7836])).
% 4.72/3.48 tff(7838,plain,
% 4.72/3.48 (~node4(s28)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1043, 35, 7699])).
% 4.72/3.48 tff(7839,plain,
% 4.72/3.48 (xuntil6(s28) | (~until5(s28))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1050, 155, 7838])).
% 4.72/3.48 tff(7840,plain,
% 4.72/3.48 (xuntil6(s28)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7839, 7837])).
% 4.72/3.48 tff(7841,plain,
% 4.72/3.48 (until5(s29)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1030, 7840])).
% 4.72/3.48 tff(7842,plain,
% 4.72/3.48 (~node4(s29)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[998, 35, 7698])).
% 4.72/3.48 tff(7843,plain,
% 4.72/3.48 (xuntil6(s29) | (~until5(s29))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1022, 155, 7842])).
% 4.72/3.48 tff(7844,plain,
% 4.72/3.48 (xuntil6(s29)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7843, 7841])).
% 4.72/3.48 tff(7845,plain,
% 4.72/3.48 ($false),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[1015, 7844, 7681])).
% 4.72/3.48 tff(7846,plain,(always3(s75) | xuntil6(s75)), inference(lemma,lemma(discharge,[]))).
% 4.72/3.48 tff(7847,plain,
% 4.72/3.48 (xuntil6(s75)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7846, 7021])).
% 4.72/3.48 tff(7848,plain,
% 4.72/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7849,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7850,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s75, s76)) | (~xuntil6(s75)) | until5(s76)),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7849, 7848])).
% 4.72/3.48 tff(7851,plain,
% 4.72/3.48 ((~xuntil6(s75)) | until5(s76)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7850, 7012, 173])).
% 4.72/3.48 tff(7852,plain,
% 4.72/3.48 (until5(s76)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7851, 7847])).
% 4.72/3.48 tff(7853,assumption,(~always3(s84)), introduced(assumption)).
% 4.72/3.48 tff(7854,plain,
% 4.72/3.48 (~always3(s83)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[6924, 7853])).
% 4.72/3.48 tff(7855,plain,
% 4.72/3.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7856,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s83) | (~node4(s83)))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7857,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s83) | (~node4(s83))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7856, 7855])).
% 4.72/3.48 tff(7858,plain,
% 4.72/3.48 (~node4(s83)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7857, 35, 7854])).
% 4.72/3.48 tff(7859,plain,
% 4.72/3.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7860,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s84) | (~node4(s84)))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7861,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s84) | (~node4(s84))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7860, 7859])).
% 4.72/3.48 tff(7862,plain,
% 4.72/3.48 (~node4(s84)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7861, 35, 7853])).
% 4.72/3.48 tff(7863,assumption,(~xuntil6(s84)), introduced(assumption)).
% 4.72/3.48 tff(7864,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s84) | node4(s84) | (~until5(s84)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7865,plain,
% 4.72/3.48 ((node4(s84) | (~until5(s84)) | xuntil6(s84)) <=> (xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7866,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s84) | node4(s84) | (~until5(s84))))),
% 4.72/3.48 inference(monotonicity,[status(thm)],[7865])).
% 4.72/3.48 tff(7867,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84)))),
% 4.72/3.48 inference(transitivity,[status(thm)],[7866, 7864])).
% 4.72/3.48 tff(7868,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s84) | (~until5(s84)) | xuntil6(s84))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7869,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s84) | node4(s84) | (~until5(s84))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7868, 7867])).
% 4.72/3.48 tff(7870,plain,
% 4.72/3.48 (node4(s84) | (~until5(s84))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7869, 155, 7863])).
% 4.72/3.48 tff(7871,plain,
% 4.72/3.48 (~until5(s84)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7870, 7862])).
% 4.72/3.48 tff(7872,plain,
% 4.72/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7873,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7874,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s83, s84)) | (~xuntil6(s83)) | until5(s84)),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7873, 7872])).
% 4.72/3.48 tff(7875,plain,
% 4.72/3.48 ((~xuntil6(s83)) | until5(s84)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7874, 6916, 173])).
% 4.72/3.48 tff(7876,plain,
% 4.72/3.48 (~xuntil6(s83)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7875, 7871])).
% 4.72/3.48 tff(7877,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s83) | node4(s83) | (~until5(s83)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7878,plain,
% 4.72/3.48 ((node4(s83) | (~until5(s83)) | xuntil6(s83)) <=> (xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7879,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s83) | node4(s83) | (~until5(s83))))),
% 4.72/3.48 inference(monotonicity,[status(thm)],[7878])).
% 4.72/3.48 tff(7880,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83)))),
% 4.72/3.48 inference(transitivity,[status(thm)],[7879, 7877])).
% 4.72/3.48 tff(7881,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s83) | (~until5(s83)) | xuntil6(s83))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7882,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s83) | node4(s83) | (~until5(s83))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7881, 7880])).
% 4.72/3.48 tff(7883,plain,
% 4.72/3.48 (~until5(s83)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7882, 155, 7876, 7858])).
% 4.72/3.48 tff(7884,plain,
% 4.72/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7885,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7886,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s82, s83)) | (~xuntil6(s82)) | until5(s83)),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7885, 7884])).
% 4.72/3.48 tff(7887,plain,
% 4.72/3.48 ((~xuntil6(s82)) | until5(s83)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7886, 6928, 173])).
% 4.72/3.48 tff(7888,plain,
% 4.72/3.48 (~xuntil6(s82)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7887, 7883])).
% 4.72/3.48 tff(7889,plain,
% 4.72/3.48 (~always3(s82)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[6936, 7854])).
% 4.72/3.48 tff(7890,plain,
% 4.72/3.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7891,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s82) | (~node4(s82)))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7892,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s82) | (~node4(s82))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7891, 7890])).
% 4.72/3.48 tff(7893,plain,
% 4.72/3.48 (~node4(s82)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7892, 35, 7889])).
% 4.72/3.48 tff(7894,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s82) | node4(s82) | (~until5(s82)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7895,plain,
% 4.72/3.48 ((node4(s82) | (~until5(s82)) | xuntil6(s82)) <=> (xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7896,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s82) | node4(s82) | (~until5(s82))))),
% 4.72/3.48 inference(monotonicity,[status(thm)],[7895])).
% 4.72/3.48 tff(7897,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82)))),
% 4.72/3.48 inference(transitivity,[status(thm)],[7896, 7894])).
% 4.72/3.48 tff(7898,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s82) | (~until5(s82)) | xuntil6(s82))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7899,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s82) | node4(s82) | (~until5(s82))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7898, 7897])).
% 4.72/3.48 tff(7900,plain,
% 4.72/3.48 (xuntil6(s82) | (~until5(s82))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7899, 155, 7893])).
% 4.72/3.48 tff(7901,plain,
% 4.72/3.48 (~until5(s82)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7900, 7888])).
% 4.72/3.48 tff(7902,plain,
% 4.72/3.48 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7903,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7904,plain,
% 4.72/3.48 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s81, s82)) | (~xuntil6(s81)) | until5(s82)),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 4.72/3.48 tff(7905,plain,
% 4.72/3.48 ((~xuntil6(s81)) | until5(s82)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7904, 6940, 173])).
% 4.72/3.48 tff(7906,plain,
% 4.72/3.48 (~xuntil6(s81)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7905, 7901])).
% 4.72/3.48 tff(7907,plain,
% 4.72/3.48 (~always3(s81)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[6948, 7889])).
% 4.72/3.48 tff(7908,plain,
% 4.72/3.48 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7909,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s81) | (~node4(s81)))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7910,plain,
% 4.72/3.48 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s81) | (~node4(s81))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7909, 7908])).
% 4.72/3.48 tff(7911,plain,
% 4.72/3.48 (~node4(s81)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7910, 35, 7907])).
% 4.72/3.48 tff(7912,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s81) | node4(s81) | (~until5(s81)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7913,plain,
% 4.72/3.48 ((node4(s81) | (~until5(s81)) | xuntil6(s81)) <=> (xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 4.72/3.48 inference(rewrite,[status(thm)],[])).
% 4.72/3.48 tff(7914,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s81) | node4(s81) | (~until5(s81))))),
% 4.72/3.48 inference(monotonicity,[status(thm)],[7913])).
% 4.72/3.48 tff(7915,plain,
% 4.72/3.48 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81)))),
% 4.72/3.48 inference(transitivity,[status(thm)],[7914, 7912])).
% 4.72/3.48 tff(7916,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s81) | (~until5(s81)) | xuntil6(s81))),
% 4.72/3.48 inference(quant_inst,[status(thm)],[])).
% 4.72/3.48 tff(7917,plain,
% 4.72/3.48 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s81) | node4(s81) | (~until5(s81))),
% 4.72/3.48 inference(modus_ponens,[status(thm)],[7916, 7915])).
% 4.72/3.48 tff(7918,plain,
% 4.72/3.48 (xuntil6(s81) | (~until5(s81))),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7917, 155, 7911])).
% 4.72/3.48 tff(7919,plain,
% 4.72/3.48 (~until5(s81)),
% 4.72/3.48 inference(unit_resolution,[status(thm)],[7918, 7906])).
% 4.72/3.49 tff(7920,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7921,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7922,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s80, s81)) | (~xuntil6(s80)) | until5(s81)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7921, 7920])).
% 4.72/3.49 tff(7923,plain,
% 4.72/3.49 ((~xuntil6(s80)) | until5(s81)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7922, 6952, 173])).
% 4.72/3.49 tff(7924,plain,
% 4.72/3.49 (~xuntil6(s80)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7923, 7919])).
% 4.72/3.49 tff(7925,plain,
% 4.72/3.49 (~always3(s80)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[6960, 7907])).
% 4.72/3.49 tff(7926,plain,
% 4.72/3.49 (~always3(s79)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[6972, 7925])).
% 4.72/3.49 tff(7927,plain,
% 4.72/3.49 (~always3(s78)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[6984, 7926])).
% 4.72/3.49 tff(7928,plain,
% 4.72/3.49 (~always3(s77)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[6996, 7927])).
% 4.72/3.49 tff(7929,plain,
% 4.72/3.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7930,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s77) | (~node4(s77)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7931,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s77) | (~node4(s77))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7930, 7929])).
% 4.72/3.49 tff(7932,plain,
% 4.72/3.49 (~node4(s77)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7931, 35, 7928])).
% 4.72/3.49 tff(7933,plain,
% 4.72/3.49 (~always3(s76)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7008, 7928])).
% 4.72/3.49 tff(7934,plain,
% 4.72/3.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7935,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s76) | (~node4(s76)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7936,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s76) | (~node4(s76))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7935, 7934])).
% 4.72/3.49 tff(7937,plain,
% 4.72/3.49 (~node4(s76)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7936, 35, 7933])).
% 4.72/3.49 tff(7938,assumption,(until5(s76)), introduced(assumption)).
% 4.72/3.49 tff(7939,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s76) | node4(s76) | (~until5(s76)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7940,plain,
% 4.72/3.49 ((node4(s76) | (~until5(s76)) | xuntil6(s76)) <=> (xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7941,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s76) | node4(s76) | (~until5(s76))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[7940])).
% 4.72/3.49 tff(7942,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[7941, 7939])).
% 4.72/3.49 tff(7943,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s76) | (~until5(s76)) | xuntil6(s76))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7944,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s76) | node4(s76) | (~until5(s76))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7943, 7942])).
% 4.72/3.49 tff(7945,plain,
% 4.72/3.49 (xuntil6(s76) | node4(s76)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7944, 155, 7938])).
% 4.72/3.49 tff(7946,plain,
% 4.72/3.49 (xuntil6(s76)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7945, 7937])).
% 4.72/3.49 tff(7947,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7948,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7949,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s76, s77)) | (~xuntil6(s76)) | until5(s77)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7948, 7947])).
% 4.72/3.49 tff(7950,plain,
% 4.72/3.49 ((~xuntil6(s76)) | until5(s77)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7949, 7000, 173])).
% 4.72/3.49 tff(7951,plain,
% 4.72/3.49 (until5(s77)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7950, 7946])).
% 4.72/3.49 tff(7952,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s77) | node4(s77) | (~until5(s77)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7953,plain,
% 4.72/3.49 ((node4(s77) | (~until5(s77)) | xuntil6(s77)) <=> (xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7954,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s77) | node4(s77) | (~until5(s77))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[7953])).
% 4.72/3.49 tff(7955,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[7954, 7952])).
% 4.72/3.49 tff(7956,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s77) | (~until5(s77)) | xuntil6(s77))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7957,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s77) | node4(s77) | (~until5(s77))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7956, 7955])).
% 4.72/3.49 tff(7958,plain,
% 4.72/3.49 (xuntil6(s77)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7957, 155, 7951, 7932])).
% 4.72/3.49 tff(7959,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7960,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7961,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s77, s78)) | (~xuntil6(s77)) | until5(s78)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7960, 7959])).
% 4.72/3.49 tff(7962,plain,
% 4.72/3.49 ((~xuntil6(s77)) | until5(s78)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7961, 6988, 173])).
% 4.72/3.49 tff(7963,plain,
% 4.72/3.49 (until5(s78)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7962, 7958])).
% 4.72/3.49 tff(7964,plain,
% 4.72/3.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7965,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s78) | (~node4(s78)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7966,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s78) | (~node4(s78))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7965, 7964])).
% 4.72/3.49 tff(7967,plain,
% 4.72/3.49 (~node4(s78)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7966, 35, 7927])).
% 4.72/3.49 tff(7968,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s78) | node4(s78) | (~until5(s78)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7969,plain,
% 4.72/3.49 ((node4(s78) | (~until5(s78)) | xuntil6(s78)) <=> (xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7970,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s78) | node4(s78) | (~until5(s78))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[7969])).
% 4.72/3.49 tff(7971,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[7970, 7968])).
% 4.72/3.49 tff(7972,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s78) | (~until5(s78)) | xuntil6(s78))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7973,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s78) | node4(s78) | (~until5(s78))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7972, 7971])).
% 4.72/3.49 tff(7974,plain,
% 4.72/3.49 (xuntil6(s78) | (~until5(s78))),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7973, 155, 7967])).
% 4.72/3.49 tff(7975,plain,
% 4.72/3.49 (xuntil6(s78)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7974, 7963])).
% 4.72/3.49 tff(7976,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7977,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7978,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s78, s79)) | (~xuntil6(s78)) | until5(s79)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7977, 7976])).
% 4.72/3.49 tff(7979,plain,
% 4.72/3.49 ((~xuntil6(s78)) | until5(s79)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7978, 6976, 173])).
% 4.72/3.49 tff(7980,plain,
% 4.72/3.49 (until5(s79)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7979, 7975])).
% 4.72/3.49 tff(7981,plain,
% 4.72/3.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7982,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s79) | (~node4(s79)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7983,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s79) | (~node4(s79))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7982, 7981])).
% 4.72/3.49 tff(7984,plain,
% 4.72/3.49 (~node4(s79)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7983, 35, 7926])).
% 4.72/3.49 tff(7985,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s79) | node4(s79) | (~until5(s79)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7986,plain,
% 4.72/3.49 ((node4(s79) | (~until5(s79)) | xuntil6(s79)) <=> (xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7987,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s79) | node4(s79) | (~until5(s79))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[7986])).
% 4.72/3.49 tff(7988,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[7987, 7985])).
% 4.72/3.49 tff(7989,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s79) | (~until5(s79)) | xuntil6(s79))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7990,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s79) | node4(s79) | (~until5(s79))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7989, 7988])).
% 4.72/3.49 tff(7991,plain,
% 4.72/3.49 (xuntil6(s79) | (~until5(s79))),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7990, 155, 7984])).
% 4.72/3.49 tff(7992,plain,
% 4.72/3.49 (xuntil6(s79)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7991, 7980])).
% 4.72/3.49 tff(7993,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7994,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(7995,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s79, s80)) | (~xuntil6(s79)) | until5(s80)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7994, 7993])).
% 4.72/3.49 tff(7996,plain,
% 4.72/3.49 ((~xuntil6(s79)) | until5(s80)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7995, 6964, 173])).
% 4.72/3.49 tff(7997,plain,
% 4.72/3.49 (until5(s80)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[7996, 7992])).
% 4.72/3.49 tff(7998,plain,
% 4.72/3.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(7999,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s80) | (~node4(s80)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8000,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s80) | (~node4(s80))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[7999, 7998])).
% 4.72/3.49 tff(8001,plain,
% 4.72/3.49 (~node4(s80)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8000, 35, 7925])).
% 4.72/3.49 tff(8002,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s80) | node4(s80) | (~until5(s80)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8003,plain,
% 4.72/3.49 ((node4(s80) | (~until5(s80)) | xuntil6(s80)) <=> (xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8004,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s80) | node4(s80) | (~until5(s80))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[8003])).
% 4.72/3.49 tff(8005,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[8004, 8002])).
% 4.72/3.49 tff(8006,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s80) | (~until5(s80)) | xuntil6(s80))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8007,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s80) | node4(s80) | (~until5(s80))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8006, 8005])).
% 4.72/3.49 tff(8008,plain,
% 4.72/3.49 (xuntil6(s80) | (~until5(s80))),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8007, 155, 8001])).
% 4.72/3.49 tff(8009,plain,
% 4.72/3.49 ($false),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8008, 7997, 7924])).
% 4.72/3.49 tff(8010,plain,(always3(s84) | (~until5(s76)) | xuntil6(s84)), inference(lemma,lemma(discharge,[]))).
% 4.72/3.49 tff(8011,plain,
% 4.72/3.49 (xuntil6(s84)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8010, 7852, 6913])).
% 4.72/3.49 tff(8012,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8013,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8014,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s84, s85)) | (~xuntil6(s84)) | until5(s85)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8013, 8012])).
% 4.72/3.49 tff(8015,plain,
% 4.72/3.49 ((~xuntil6(s84)) | until5(s85)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8014, 6904, 173])).
% 4.72/3.49 tff(8016,plain,
% 4.72/3.49 (until5(s85)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8015, 8011])).
% 4.72/3.49 tff(8017,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s85) | node4(s85) | (~until5(s85)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8018,plain,
% 4.72/3.49 ((node4(s85) | (~until5(s85)) | xuntil6(s85)) <=> (xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8019,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s85) | node4(s85) | (~until5(s85))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[8018])).
% 4.72/3.49 tff(8020,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[8019, 8017])).
% 4.72/3.49 tff(8021,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s85) | (~until5(s85)) | xuntil6(s85))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8022,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s85) | node4(s85) | (~until5(s85))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8021, 8020])).
% 4.72/3.49 tff(8023,plain,
% 4.72/3.49 (xuntil6(s85) | node4(s85)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8022, 155, 8016])).
% 4.72/3.49 tff(8024,plain,
% 4.72/3.49 (xuntil6(s85)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8023, 6901])).
% 4.72/3.49 tff(8025,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8026,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8027,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s85, s86)) | (~xuntil6(s85)) | until5(s86)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8026, 8025])).
% 4.72/3.49 tff(8028,plain,
% 4.72/3.49 ((~xuntil6(s85)) | until5(s86)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8027, 6888, 173])).
% 4.72/3.49 tff(8029,plain,
% 4.72/3.49 (until5(s86)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8028, 8024])).
% 4.72/3.49 tff(8030,assumption,(until5(s86)), introduced(assumption)).
% 4.72/3.49 tff(8031,assumption,(~xuntil6(s87)), introduced(assumption)).
% 4.72/3.49 tff(8032,assumption,(~always3(s87)), introduced(assumption)).
% 4.72/3.49 tff(8033,plain,
% 4.72/3.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8034,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s87) | (~node4(s87)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8035,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s87) | (~node4(s87))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8034, 8033])).
% 4.72/3.49 tff(8036,plain,
% 4.72/3.49 (~node4(s87)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8035, 35, 8032])).
% 4.72/3.49 tff(8037,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s87) | node4(s87) | (~until5(s87)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8038,plain,
% 4.72/3.49 ((node4(s87) | (~until5(s87)) | xuntil6(s87)) <=> (xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8039,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s87) | node4(s87) | (~until5(s87))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[8038])).
% 4.72/3.49 tff(8040,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[8039, 8037])).
% 4.72/3.49 tff(8041,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s87) | (~until5(s87)) | xuntil6(s87))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8042,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s87) | node4(s87) | (~until5(s87))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8041, 8040])).
% 4.72/3.49 tff(8043,plain,
% 4.72/3.49 (node4(s87) | (~until5(s87))),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8042, 155, 8031])).
% 4.72/3.49 tff(8044,plain,
% 4.72/3.49 (~until5(s87)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8043, 8036])).
% 4.72/3.49 tff(8045,plain,
% 4.72/3.49 (~always3(s86)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[6884, 8032])).
% 4.72/3.49 tff(8046,plain,
% 4.72/3.49 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8047,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s86) | (~node4(s86)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8048,plain,
% 4.72/3.49 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s86) | (~node4(s86))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8047, 8046])).
% 4.72/3.49 tff(8049,plain,
% 4.72/3.49 (~node4(s86)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8048, 35, 8045])).
% 4.72/3.49 tff(8050,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s86) | node4(s86) | (~until5(s86)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8051,plain,
% 4.72/3.49 ((node4(s86) | (~until5(s86)) | xuntil6(s86)) <=> (xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8052,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s86) | node4(s86) | (~until5(s86))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[8051])).
% 4.72/3.49 tff(8053,plain,
% 4.72/3.49 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[8052, 8050])).
% 4.72/3.49 tff(8054,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s86) | (~until5(s86)) | xuntil6(s86))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8055,plain,
% 4.72/3.49 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s86) | node4(s86) | (~until5(s86))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8054, 8053])).
% 4.72/3.49 tff(8056,plain,
% 4.72/3.49 (xuntil6(s86) | node4(s86)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8055, 155, 8030])).
% 4.72/3.49 tff(8057,plain,
% 4.72/3.49 (xuntil6(s86)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8056, 8049])).
% 4.72/3.49 tff(8058,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8059,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8060,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s86, s87)) | (~xuntil6(s86)) | until5(s87)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8059, 8058])).
% 4.72/3.49 tff(8061,plain,
% 4.72/3.49 ((~xuntil6(s86)) | until5(s87)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8060, 6876, 173])).
% 4.72/3.49 tff(8062,plain,
% 4.72/3.49 ($false),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8061, 8057, 8044])).
% 4.72/3.49 tff(8063,plain,(always3(s87) | (~until5(s86)) | xuntil6(s87)), inference(lemma,lemma(discharge,[]))).
% 4.72/3.49 tff(8064,plain,
% 4.72/3.49 (always3(s87)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8063, 8031, 8030])).
% 4.72/3.49 tff(8065,plain,
% 4.72/3.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s87)) | (~m_main_v_state(s87, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8066,plain,
% 4.72/3.49 (((~m_main_v_state(s87, c_busy)) | (~always3(s87))) <=> ((~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8067,plain,
% 4.72/3.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s87)) | (~m_main_v_state(s87, c_busy))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[8066])).
% 4.72/3.49 tff(8068,plain,
% 4.72/3.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[8067, 8065])).
% 4.72/3.49 tff(8069,plain,
% 4.72/3.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s87, c_busy)) | (~always3(s87)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8070,plain,
% 4.72/3.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s87)) | (~m_main_v_state(s87, c_busy))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8069, 8068])).
% 4.72/3.49 tff(8071,plain,
% 4.72/3.49 (~m_main_v_state(s87, c_busy)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8070, 75, 8064])).
% 4.72/3.49 tff(8072,plain,
% 4.72/3.49 (always3(s88)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[6872, 8064])).
% 4.72/3.49 tff(8073,plain,
% 4.72/3.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s88)) | (~m_main_v_state(s88, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8074,plain,
% 4.72/3.49 (((~m_main_v_state(s88, c_busy)) | (~always3(s88))) <=> ((~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8075,plain,
% 4.72/3.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s88)) | (~m_main_v_state(s88, c_busy))))),
% 4.72/3.49 inference(monotonicity,[status(thm)],[8074])).
% 4.72/3.49 tff(8076,plain,
% 4.72/3.49 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy)))),
% 4.72/3.49 inference(transitivity,[status(thm)],[8075, 8073])).
% 4.72/3.49 tff(8077,plain,
% 4.72/3.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s88, c_busy)) | (~always3(s88)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8078,plain,
% 4.72/3.49 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s88)) | (~m_main_v_state(s88, c_busy))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8077, 8076])).
% 4.72/3.49 tff(8079,plain,
% 4.72/3.49 (~m_main_v_state(s88, c_busy)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8078, 75, 8072])).
% 4.72/3.49 tff(8080,plain,
% 4.72/3.49 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8081,plain,
% 4.72/3.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8082,plain,
% 4.72/3.49 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s87, c_busy) | m_main_v_state(s87, c_ready)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8081, 8080])).
% 4.72/3.49 tff(8083,plain,
% 4.72/3.49 (m_main_v_state(s87, c_ready)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8082, 118, 8071])).
% 4.72/3.49 tff(8084,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s87, s88)) | node2(s87, s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s87, s88)) | node2(s87, s88))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8085,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s87, s88)) | node2(s87, s88))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8086,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s87, s88)) | node2(s87, s88)),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8085, 8084])).
% 4.72/3.49 tff(8087,plain,
% 4.72/3.49 (node2(s87, s88)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8086, 7, 6868])).
% 4.72/3.49 tff(8088,plain,
% 4.72/3.49 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8089,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8090,plain,
% 4.72/3.49 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s87, c_ready)) | (~node2(s87, s88)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8089, 8088])).
% 4.72/3.49 tff(8091,plain,
% 4.72/3.49 ((~m_main_v_state(s87, c_ready)) | m_main_v_state(s88, c_busy) | (~m_main_v_request(s87))),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8090, 96, 8087])).
% 4.72/3.49 tff(8092,plain,
% 4.72/3.49 (~m_main_v_request(s87)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8091, 8083, 8079])).
% 4.72/3.49 tff(8093,plain,
% 4.72/3.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s87) | (~node4(s87)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s87) | (~node4(s87)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8094,plain,
% 4.72/3.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s87) | (~node4(s87)))),
% 4.72/3.49 inference(quant_inst,[status(thm)],[])).
% 4.72/3.49 tff(8095,plain,
% 4.72/3.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s87) | (~node4(s87))),
% 4.72/3.49 inference(modus_ponens,[status(thm)],[8094, 8093])).
% 4.72/3.49 tff(8096,plain,
% 4.72/3.49 (~node4(s87)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8095, 17, 8092])).
% 4.72/3.49 tff(8097,plain,
% 4.72/3.49 (~until5(s87)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8043, 8096])).
% 4.72/3.49 tff(8098,plain,
% 4.72/3.49 (~xuntil6(s86)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8061, 8097])).
% 4.72/3.49 tff(8099,plain,
% 4.72/3.49 (node4(s86)),
% 4.72/3.49 inference(unit_resolution,[status(thm)],[8056, 8098])).
% 4.72/3.49 tff(8100,plain,
% 4.72/3.49 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s86) | (~node4(s86)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s86) | (~node4(s86)))),
% 4.72/3.49 inference(rewrite,[status(thm)],[])).
% 4.72/3.49 tff(8101,plain,
% 4.72/3.49 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s86) | (~node4(s86)))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8102,plain,
% 4.72/3.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s86) | (~node4(s86))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8101, 8100])).
% 4.72/3.50 tff(8103,plain,
% 4.72/3.50 (m_main_v_request(s86)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8102, 17, 8099])).
% 4.72/3.50 tff(8104,plain,
% 4.72/3.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s86, s87)) | node2(s86, s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s86, s87)) | node2(s86, s87))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8105,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s86, s87)) | node2(s86, s87))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8106,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s86, s87)) | node2(s86, s87)),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8105, 8104])).
% 4.72/3.50 tff(8107,plain,
% 4.72/3.50 (node2(s86, s87)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8106, 7, 6880])).
% 4.72/3.50 tff(8108,plain,
% 4.72/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8109,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86)))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8110,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s86, c_ready)) | (~node2(s86, s87)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8109, 8108])).
% 4.72/3.50 tff(8111,plain,
% 4.72/3.50 ((~m_main_v_state(s86, c_ready)) | m_main_v_state(s87, c_busy) | (~m_main_v_request(s86))),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8110, 96, 8107])).
% 4.72/3.50 tff(8112,plain,
% 4.72/3.50 (~m_main_v_state(s86, c_ready)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8111, 8103, 8071])).
% 4.72/3.50 tff(8113,plain,
% 4.72/3.50 (always3(s86)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8048, 35, 8099])).
% 4.72/3.50 tff(8114,plain,
% 4.72/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s86)) | (~m_main_v_state(s86, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8115,plain,
% 4.72/3.50 (((~m_main_v_state(s86, c_busy)) | (~always3(s86))) <=> ((~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8116,plain,
% 4.72/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s86)) | (~m_main_v_state(s86, c_busy))))),
% 4.72/3.50 inference(monotonicity,[status(thm)],[8115])).
% 4.72/3.50 tff(8117,plain,
% 4.72/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy)))),
% 4.72/3.50 inference(transitivity,[status(thm)],[8116, 8114])).
% 4.72/3.50 tff(8118,plain,
% 4.72/3.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s86, c_busy)) | (~always3(s86)))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8119,plain,
% 4.72/3.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s86)) | (~m_main_v_state(s86, c_busy))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8118, 8117])).
% 4.72/3.50 tff(8120,plain,
% 4.72/3.50 (~m_main_v_state(s86, c_busy)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8119, 75, 8113])).
% 4.72/3.50 tff(8121,plain,
% 4.72/3.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8122,plain,
% 4.72/3.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8123,plain,
% 4.72/3.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s86, c_busy) | m_main_v_state(s86, c_ready)),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8122, 8121])).
% 4.72/3.50 tff(8124,plain,
% 4.72/3.50 ($false),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8123, 118, 8120, 8112])).
% 4.72/3.50 tff(8125,plain,(xuntil6(s87) | (~until5(s86))), inference(lemma,lemma(discharge,[]))).
% 4.72/3.50 tff(8126,plain,
% 4.72/3.50 (xuntil6(s87)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8125, 8029])).
% 4.72/3.50 tff(8127,plain,
% 4.72/3.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8128,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8129,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s87, s88)) | (~xuntil6(s87)) | until5(s88)),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8128, 8127])).
% 4.72/3.50 tff(8130,plain,
% 4.72/3.50 ((~xuntil6(s87)) | until5(s88)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8129, 6864, 173])).
% 4.72/3.50 tff(8131,plain,
% 4.72/3.50 (until5(s88)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8130, 8126])).
% 4.72/3.50 tff(8132,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s88) | node4(s88) | (~until5(s88)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8133,plain,
% 4.72/3.50 ((node4(s88) | (~until5(s88)) | xuntil6(s88)) <=> (xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8134,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s88) | node4(s88) | (~until5(s88))))),
% 4.72/3.50 inference(monotonicity,[status(thm)],[8133])).
% 4.72/3.50 tff(8135,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88)))),
% 4.72/3.50 inference(transitivity,[status(thm)],[8134, 8132])).
% 4.72/3.50 tff(8136,plain,
% 4.72/3.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s88) | (~until5(s88)) | xuntil6(s88))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8137,plain,
% 4.72/3.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s88) | node4(s88) | (~until5(s88))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8136, 8135])).
% 4.72/3.50 tff(8138,plain,
% 4.72/3.50 (xuntil6(s88)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8137, 155, 8131, 6861])).
% 4.72/3.50 tff(8139,plain,
% 4.72/3.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8140,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8141,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s88, s89)) | (~xuntil6(s88)) | until5(s89)),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8140, 8139])).
% 4.72/3.50 tff(8142,plain,
% 4.72/3.50 ((~xuntil6(s88)) | until5(s89)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8141, 6848, 173])).
% 4.72/3.50 tff(8143,plain,
% 4.72/3.50 (until5(s89)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8142, 8138])).
% 4.72/3.50 tff(8144,assumption,(until5(s89)), introduced(assumption)).
% 4.72/3.50 tff(8145,assumption,(~xuntil6(s90)), introduced(assumption)).
% 4.72/3.50 tff(8146,assumption,(~always3(s90)), introduced(assumption)).
% 4.72/3.50 tff(8147,plain,
% 4.72/3.50 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8148,plain,
% 4.72/3.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s90) | (~node4(s90)))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8149,plain,
% 4.72/3.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s90) | (~node4(s90))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8148, 8147])).
% 4.72/3.50 tff(8150,plain,
% 4.72/3.50 (~node4(s90)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8149, 35, 8146])).
% 4.72/3.50 tff(8151,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s90) | node4(s90) | (~until5(s90)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8152,plain,
% 4.72/3.50 ((node4(s90) | (~until5(s90)) | xuntil6(s90)) <=> (xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8153,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s90) | node4(s90) | (~until5(s90))))),
% 4.72/3.50 inference(monotonicity,[status(thm)],[8152])).
% 4.72/3.50 tff(8154,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90)))),
% 4.72/3.50 inference(transitivity,[status(thm)],[8153, 8151])).
% 4.72/3.50 tff(8155,plain,
% 4.72/3.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s90) | (~until5(s90)) | xuntil6(s90))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8156,plain,
% 4.72/3.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s90) | node4(s90) | (~until5(s90))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8155, 8154])).
% 4.72/3.50 tff(8157,plain,
% 4.72/3.50 (node4(s90) | (~until5(s90))),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8156, 155, 8145])).
% 4.72/3.50 tff(8158,plain,
% 4.72/3.50 (~until5(s90)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8157, 8150])).
% 4.72/3.50 tff(8159,plain,
% 4.72/3.50 (~always3(s89)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[6844, 8146])).
% 4.72/3.50 tff(8160,plain,
% 4.72/3.50 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8161,plain,
% 4.72/3.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s89) | (~node4(s89)))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8162,plain,
% 4.72/3.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s89) | (~node4(s89))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 4.72/3.50 tff(8163,plain,
% 4.72/3.50 (~node4(s89)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8162, 35, 8159])).
% 4.72/3.50 tff(8164,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s89) | node4(s89) | (~until5(s89)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8165,plain,
% 4.72/3.50 ((node4(s89) | (~until5(s89)) | xuntil6(s89)) <=> (xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8166,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s89) | node4(s89) | (~until5(s89))))),
% 4.72/3.50 inference(monotonicity,[status(thm)],[8165])).
% 4.72/3.50 tff(8167,plain,
% 4.72/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89)))),
% 4.72/3.50 inference(transitivity,[status(thm)],[8166, 8164])).
% 4.72/3.50 tff(8168,plain,
% 4.72/3.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s89) | (~until5(s89)) | xuntil6(s89))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8169,plain,
% 4.72/3.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s89) | node4(s89) | (~until5(s89))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8168, 8167])).
% 4.72/3.50 tff(8170,plain,
% 4.72/3.50 (xuntil6(s89) | node4(s89)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8169, 155, 8144])).
% 4.72/3.50 tff(8171,plain,
% 4.72/3.50 (xuntil6(s89)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8170, 8163])).
% 4.72/3.50 tff(8172,plain,
% 4.72/3.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8173,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8174,plain,
% 4.72/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s89, s90)) | (~xuntil6(s89)) | until5(s90)),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 4.72/3.50 tff(8175,plain,
% 4.72/3.50 ((~xuntil6(s89)) | until5(s90)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8174, 6836, 173])).
% 4.72/3.50 tff(8176,plain,
% 4.72/3.50 ($false),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8175, 8171, 8158])).
% 4.72/3.50 tff(8177,plain,(always3(s90) | (~until5(s89)) | xuntil6(s90)), inference(lemma,lemma(discharge,[]))).
% 4.72/3.50 tff(8178,plain,
% 4.72/3.50 (always3(s90)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8177, 8145, 8144])).
% 4.72/3.50 tff(8179,plain,
% 4.72/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s90)) | (~m_main_v_state(s90, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8180,plain,
% 4.72/3.50 (((~m_main_v_state(s90, c_busy)) | (~always3(s90))) <=> ((~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8181,plain,
% 4.72/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s90)) | (~m_main_v_state(s90, c_busy))))),
% 4.72/3.50 inference(monotonicity,[status(thm)],[8180])).
% 4.72/3.50 tff(8182,plain,
% 4.72/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy)))),
% 4.72/3.50 inference(transitivity,[status(thm)],[8181, 8179])).
% 4.72/3.50 tff(8183,plain,
% 4.72/3.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s90, c_busy)) | (~always3(s90)))),
% 4.72/3.50 inference(quant_inst,[status(thm)],[])).
% 4.72/3.50 tff(8184,plain,
% 4.72/3.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s90)) | (~m_main_v_state(s90, c_busy))),
% 4.72/3.50 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 4.72/3.50 tff(8185,plain,
% 4.72/3.50 (~m_main_v_state(s90, c_busy)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[8184, 75, 8178])).
% 4.72/3.50 tff(8186,plain,
% 4.72/3.50 (always3(s91)),
% 4.72/3.50 inference(unit_resolution,[status(thm)],[6832, 8178])).
% 4.72/3.50 tff(8187,plain,
% 4.72/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s91)) | (~m_main_v_state(s91, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8188,plain,
% 4.72/3.50 (((~m_main_v_state(s91, c_busy)) | (~always3(s91))) <=> ((~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 4.72/3.50 inference(rewrite,[status(thm)],[])).
% 4.72/3.50 tff(8189,plain,
% 4.72/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s91)) | (~m_main_v_state(s91, c_busy))))),
% 4.74/3.50 inference(monotonicity,[status(thm)],[8188])).
% 4.74/3.50 tff(8190,plain,
% 4.74/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy)))),
% 4.74/3.50 inference(transitivity,[status(thm)],[8189, 8187])).
% 4.74/3.50 tff(8191,plain,
% 4.74/3.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s91, c_busy)) | (~always3(s91)))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8192,plain,
% 4.74/3.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s91)) | (~m_main_v_state(s91, c_busy))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8191, 8190])).
% 4.74/3.50 tff(8193,plain,
% 4.74/3.50 (~m_main_v_state(s91, c_busy)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8192, 75, 8186])).
% 4.74/3.50 tff(8194,plain,
% 4.74/3.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8195,plain,
% 4.74/3.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8196,plain,
% 4.74/3.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s90, c_busy) | m_main_v_state(s90, c_ready)),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8195, 8194])).
% 4.74/3.50 tff(8197,plain,
% 4.74/3.50 (m_main_v_state(s90, c_ready)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8196, 118, 8185])).
% 4.74/3.50 tff(8198,plain,
% 4.74/3.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s90, s91)) | node2(s90, s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s90, s91)) | node2(s90, s91))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8199,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s90, s91)) | node2(s90, s91))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8200,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s90, s91)) | node2(s90, s91)),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8199, 8198])).
% 4.74/3.50 tff(8201,plain,
% 4.74/3.50 (node2(s90, s91)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8200, 7, 6828])).
% 4.74/3.50 tff(8202,plain,
% 4.74/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8203,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90)))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8204,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s90, c_ready)) | (~node2(s90, s91)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8203, 8202])).
% 4.74/3.50 tff(8205,plain,
% 4.74/3.50 ((~m_main_v_state(s90, c_ready)) | m_main_v_state(s91, c_busy) | (~m_main_v_request(s90))),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8204, 96, 8201])).
% 4.74/3.50 tff(8206,plain,
% 4.74/3.50 (~m_main_v_request(s90)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8205, 8197, 8193])).
% 4.74/3.50 tff(8207,plain,
% 4.74/3.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s90) | (~node4(s90)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s90) | (~node4(s90)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8208,plain,
% 4.74/3.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s90) | (~node4(s90)))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8209,plain,
% 4.74/3.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s90) | (~node4(s90))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 4.74/3.50 tff(8210,plain,
% 4.74/3.50 (~node4(s90)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8209, 17, 8206])).
% 4.74/3.50 tff(8211,plain,
% 4.74/3.50 (~until5(s90)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8157, 8210])).
% 4.74/3.50 tff(8212,plain,
% 4.74/3.50 (~xuntil6(s89)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8175, 8211])).
% 4.74/3.50 tff(8213,plain,
% 4.74/3.50 (node4(s89)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8170, 8212])).
% 4.74/3.50 tff(8214,plain,
% 4.74/3.50 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s89) | (~node4(s89)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s89) | (~node4(s89)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8215,plain,
% 4.74/3.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s89) | (~node4(s89)))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8216,plain,
% 4.74/3.50 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s89) | (~node4(s89))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8215, 8214])).
% 4.74/3.50 tff(8217,plain,
% 4.74/3.50 (m_main_v_request(s89)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8216, 17, 8213])).
% 4.74/3.50 tff(8218,plain,
% 4.74/3.50 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s89, s90)) | node2(s89, s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s89, s90)) | node2(s89, s90))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8219,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s89, s90)) | node2(s89, s90))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8220,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s89, s90)) | node2(s89, s90)),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 4.74/3.50 tff(8221,plain,
% 4.74/3.50 (node2(s89, s90)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8220, 7, 6840])).
% 4.74/3.50 tff(8222,plain,
% 4.74/3.50 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8223,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89)))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8224,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s89, c_ready)) | (~node2(s89, s90)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8223, 8222])).
% 4.74/3.50 tff(8225,plain,
% 4.74/3.50 ((~m_main_v_state(s89, c_ready)) | m_main_v_state(s90, c_busy) | (~m_main_v_request(s89))),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8224, 96, 8221])).
% 4.74/3.50 tff(8226,plain,
% 4.74/3.50 (~m_main_v_state(s89, c_ready)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8225, 8217, 8185])).
% 4.74/3.50 tff(8227,plain,
% 4.74/3.50 (always3(s89)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8162, 35, 8213])).
% 4.74/3.50 tff(8228,plain,
% 4.74/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s89)) | (~m_main_v_state(s89, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8229,plain,
% 4.74/3.50 (((~m_main_v_state(s89, c_busy)) | (~always3(s89))) <=> ((~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8230,plain,
% 4.74/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s89)) | (~m_main_v_state(s89, c_busy))))),
% 4.74/3.50 inference(monotonicity,[status(thm)],[8229])).
% 4.74/3.50 tff(8231,plain,
% 4.74/3.50 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy)))),
% 4.74/3.50 inference(transitivity,[status(thm)],[8230, 8228])).
% 4.74/3.50 tff(8232,plain,
% 4.74/3.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s89, c_busy)) | (~always3(s89)))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8233,plain,
% 4.74/3.50 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s89)) | (~m_main_v_state(s89, c_busy))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 4.74/3.50 tff(8234,plain,
% 4.74/3.50 (~m_main_v_state(s89, c_busy)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8233, 75, 8227])).
% 4.74/3.50 tff(8235,plain,
% 4.74/3.50 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8236,plain,
% 4.74/3.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8237,plain,
% 4.74/3.50 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s89, c_busy) | m_main_v_state(s89, c_ready)),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8236, 8235])).
% 4.74/3.50 tff(8238,plain,
% 4.74/3.50 ($false),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8237, 118, 8234, 8226])).
% 4.74/3.50 tff(8239,plain,(xuntil6(s90) | (~until5(s89))), inference(lemma,lemma(discharge,[]))).
% 4.74/3.50 tff(8240,plain,
% 4.74/3.50 (xuntil6(s90)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8239, 8143])).
% 4.74/3.50 tff(8241,plain,
% 4.74/3.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8242,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8243,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s90, s91)) | (~xuntil6(s90)) | until5(s91)),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8242, 8241])).
% 4.74/3.50 tff(8244,plain,
% 4.74/3.50 ((~xuntil6(s90)) | until5(s91)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8243, 6824, 173])).
% 4.74/3.50 tff(8245,plain,
% 4.74/3.50 ($false),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8244, 8240, 6821])).
% 4.74/3.50 tff(8246,plain,(always3(s93) | xuntil6(s93)), inference(lemma,lemma(discharge,[]))).
% 4.74/3.50 tff(8247,plain,
% 4.74/3.50 (xuntil6(s93)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8246, 6750])).
% 4.74/3.50 tff(8248,plain,
% 4.74/3.50 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8249,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8250,plain,
% 4.74/3.50 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s93, s94)) | (~xuntil6(s93)) | until5(s94)),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8249, 8248])).
% 4.74/3.50 tff(8251,plain,
% 4.74/3.50 ((~xuntil6(s93)) | until5(s94)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8250, 6741, 173])).
% 4.74/3.50 tff(8252,plain,
% 4.74/3.50 (until5(s94)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8251, 8247])).
% 4.74/3.50 tff(8253,assumption,(until5(s94)), introduced(assumption)).
% 4.74/3.50 tff(8254,assumption,(~xuntil6(s95)), introduced(assumption)).
% 4.74/3.50 tff(8255,assumption,(~always3(s95)), introduced(assumption)).
% 4.74/3.50 tff(8256,plain,
% 4.74/3.50 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8257,plain,
% 4.74/3.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s95) | (~node4(s95)))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8258,plain,
% 4.74/3.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s95) | (~node4(s95))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8257, 8256])).
% 4.74/3.50 tff(8259,plain,
% 4.74/3.50 (~node4(s95)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8258, 35, 8255])).
% 4.74/3.50 tff(8260,plain,
% 4.74/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s95) | node4(s95) | (~until5(s95)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s95) | node4(s95) | (~until5(s95)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8261,plain,
% 4.74/3.50 ((node4(s95) | (~until5(s95)) | xuntil6(s95)) <=> (xuntil6(s95) | node4(s95) | (~until5(s95)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8262,plain,
% 4.74/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s95) | (~until5(s95)) | xuntil6(s95))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s95) | node4(s95) | (~until5(s95))))),
% 4.74/3.50 inference(monotonicity,[status(thm)],[8261])).
% 4.74/3.50 tff(8263,plain,
% 4.74/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s95) | (~until5(s95)) | xuntil6(s95))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s95) | node4(s95) | (~until5(s95)))),
% 4.74/3.50 inference(transitivity,[status(thm)],[8262, 8260])).
% 4.74/3.50 tff(8264,plain,
% 4.74/3.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s95) | (~until5(s95)) | xuntil6(s95))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8265,plain,
% 4.74/3.50 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s95) | node4(s95) | (~until5(s95))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 4.74/3.50 tff(8266,plain,
% 4.74/3.50 (node4(s95) | (~until5(s95))),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8265, 155, 8254])).
% 4.74/3.50 tff(8267,plain,
% 4.74/3.50 (~until5(s95)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8266, 8259])).
% 4.74/3.50 tff(8268,plain,
% 4.74/3.50 (~always3(s94)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[6737, 8255])).
% 4.74/3.50 tff(8269,plain,
% 4.74/3.50 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8270,plain,
% 4.74/3.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s94) | (~node4(s94)))),
% 4.74/3.50 inference(quant_inst,[status(thm)],[])).
% 4.74/3.50 tff(8271,plain,
% 4.74/3.50 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s94) | (~node4(s94))),
% 4.74/3.50 inference(modus_ponens,[status(thm)],[8270, 8269])).
% 4.74/3.50 tff(8272,plain,
% 4.74/3.50 (~node4(s94)),
% 4.74/3.50 inference(unit_resolution,[status(thm)],[8271, 35, 8268])).
% 4.74/3.50 tff(8273,plain,
% 4.74/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s94) | node4(s94) | (~until5(s94)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8274,plain,
% 4.74/3.50 ((node4(s94) | (~until5(s94)) | xuntil6(s94)) <=> (xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 4.74/3.50 inference(rewrite,[status(thm)],[])).
% 4.74/3.50 tff(8275,plain,
% 4.74/3.50 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s94) | (~until5(s94)) | xuntil6(s94))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s94) | node4(s94) | (~until5(s94))))),
% 4.74/3.50 inference(monotonicity,[status(thm)],[8274])).
% 4.74/3.51 tff(8276,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s94) | (~until5(s94)) | xuntil6(s94))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s94) | node4(s94) | (~until5(s94)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8275, 8273])).
% 4.74/3.51 tff(8277,plain,
% 4.74/3.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s94) | (~until5(s94)) | xuntil6(s94))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8278,plain,
% 4.74/3.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s94) | node4(s94) | (~until5(s94))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8277, 8276])).
% 4.74/3.51 tff(8279,plain,
% 4.74/3.51 (xuntil6(s94) | node4(s94)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8278, 155, 8253])).
% 4.74/3.51 tff(8280,plain,
% 4.74/3.51 (xuntil6(s94)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8279, 8272])).
% 4.74/3.51 tff(8281,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8282,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8283,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s94, s95)) | (~xuntil6(s94)) | until5(s95)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8282, 8281])).
% 4.74/3.51 tff(8284,plain,
% 4.74/3.51 ((~xuntil6(s94)) | until5(s95)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8283, 6729, 173])).
% 4.74/3.51 tff(8285,plain,
% 4.74/3.51 ($false),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8284, 8280, 8267])).
% 4.74/3.51 tff(8286,plain,(always3(s95) | (~until5(s94)) | xuntil6(s95)), inference(lemma,lemma(discharge,[]))).
% 4.74/3.51 tff(8287,plain,
% 4.74/3.51 (always3(s95)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8286, 8254, 8253])).
% 4.74/3.51 tff(8288,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s95)) | (~m_main_v_state(s95, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8289,plain,
% 4.74/3.51 (((~m_main_v_state(s95, c_busy)) | (~always3(s95))) <=> ((~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8290,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s95)) | (~m_main_v_state(s95, c_busy))))),
% 4.74/3.51 inference(monotonicity,[status(thm)],[8289])).
% 4.74/3.51 tff(8291,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8290, 8288])).
% 4.74/3.51 tff(8292,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s95, c_busy)) | (~always3(s95)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8293,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s95)) | (~m_main_v_state(s95, c_busy))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8292, 8291])).
% 4.74/3.51 tff(8294,plain,
% 4.74/3.51 (~m_main_v_state(s95, c_busy)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8293, 75, 8287])).
% 4.74/3.51 tff(8295,plain,
% 4.74/3.51 (always3(s96)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[6725, 8287])).
% 4.74/3.51 tff(8296,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s96)) | (~m_main_v_state(s96, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8297,plain,
% 4.74/3.51 (((~m_main_v_state(s96, c_busy)) | (~always3(s96))) <=> ((~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8298,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s96)) | (~m_main_v_state(s96, c_busy))))),
% 4.74/3.51 inference(monotonicity,[status(thm)],[8297])).
% 4.74/3.51 tff(8299,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8298, 8296])).
% 4.74/3.51 tff(8300,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s96, c_busy)) | (~always3(s96)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8301,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s96)) | (~m_main_v_state(s96, c_busy))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8300, 8299])).
% 4.74/3.51 tff(8302,plain,
% 4.74/3.51 (~m_main_v_state(s96, c_busy)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8301, 75, 8295])).
% 4.74/3.51 tff(8303,plain,
% 4.74/3.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8304,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8305,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s95, c_busy) | m_main_v_state(s95, c_ready)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8304, 8303])).
% 4.74/3.51 tff(8306,plain,
% 4.74/3.51 (m_main_v_state(s95, c_ready)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8305, 118, 8294])).
% 4.74/3.51 tff(8307,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s95, s96)) | node2(s95, s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s95, s96)) | node2(s95, s96))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8308,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s95, s96)) | node2(s95, s96))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8309,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s95, s96)) | node2(s95, s96)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8308, 8307])).
% 4.74/3.51 tff(8310,plain,
% 4.74/3.51 (node2(s95, s96)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8309, 7, 6721])).
% 4.74/3.51 tff(8311,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8312,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8313,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s95, c_ready)) | (~node2(s95, s96)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8312, 8311])).
% 4.74/3.51 tff(8314,plain,
% 4.74/3.51 ((~m_main_v_state(s95, c_ready)) | m_main_v_state(s96, c_busy) | (~m_main_v_request(s95))),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8313, 96, 8310])).
% 4.74/3.51 tff(8315,plain,
% 4.74/3.51 (~m_main_v_request(s95)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8314, 8306, 8302])).
% 4.74/3.51 tff(8316,plain,
% 4.74/3.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s95) | (~node4(s95)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s95) | (~node4(s95)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8317,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s95) | (~node4(s95)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8318,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s95) | (~node4(s95))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8317, 8316])).
% 4.74/3.51 tff(8319,plain,
% 4.74/3.51 (~node4(s95)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8318, 17, 8315])).
% 4.74/3.51 tff(8320,plain,
% 4.74/3.51 (~until5(s95)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8266, 8319])).
% 4.74/3.51 tff(8321,plain,
% 4.74/3.51 (~xuntil6(s94)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8284, 8320])).
% 4.74/3.51 tff(8322,plain,
% 4.74/3.51 (node4(s94)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8279, 8321])).
% 4.74/3.51 tff(8323,plain,
% 4.74/3.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s94) | (~node4(s94)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s94) | (~node4(s94)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8324,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s94) | (~node4(s94)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8325,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s94) | (~node4(s94))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8324, 8323])).
% 4.74/3.51 tff(8326,plain,
% 4.74/3.51 (m_main_v_request(s94)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8325, 17, 8322])).
% 4.74/3.51 tff(8327,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s94, s95)) | node2(s94, s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s94, s95)) | node2(s94, s95))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8328,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s94, s95)) | node2(s94, s95))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8329,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s94, s95)) | node2(s94, s95)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8328, 8327])).
% 4.74/3.51 tff(8330,plain,
% 4.74/3.51 (node2(s94, s95)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8329, 7, 6733])).
% 4.74/3.51 tff(8331,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8332,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8333,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s94, c_ready)) | (~node2(s94, s95)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8332, 8331])).
% 4.74/3.51 tff(8334,plain,
% 4.74/3.51 ((~m_main_v_state(s94, c_ready)) | m_main_v_state(s95, c_busy) | (~m_main_v_request(s94))),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8333, 96, 8330])).
% 4.74/3.51 tff(8335,plain,
% 4.74/3.51 (~m_main_v_state(s94, c_ready)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8334, 8326, 8294])).
% 4.74/3.51 tff(8336,plain,
% 4.74/3.51 (always3(s94)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8271, 35, 8322])).
% 4.74/3.51 tff(8337,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s94)) | (~m_main_v_state(s94, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8338,plain,
% 4.74/3.51 (((~m_main_v_state(s94, c_busy)) | (~always3(s94))) <=> ((~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8339,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s94)) | (~m_main_v_state(s94, c_busy))))),
% 4.74/3.51 inference(monotonicity,[status(thm)],[8338])).
% 4.74/3.51 tff(8340,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8339, 8337])).
% 4.74/3.51 tff(8341,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s94, c_busy)) | (~always3(s94)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8342,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s94)) | (~m_main_v_state(s94, c_busy))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8341, 8340])).
% 4.74/3.51 tff(8343,plain,
% 4.74/3.51 (~m_main_v_state(s94, c_busy)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8342, 75, 8336])).
% 4.74/3.51 tff(8344,plain,
% 4.74/3.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8345,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8346,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s94, c_busy) | m_main_v_state(s94, c_ready)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8345, 8344])).
% 4.74/3.51 tff(8347,plain,
% 4.74/3.51 ($false),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8346, 118, 8343, 8335])).
% 4.74/3.51 tff(8348,plain,(xuntil6(s95) | (~until5(s94))), inference(lemma,lemma(discharge,[]))).
% 4.74/3.51 tff(8349,plain,
% 4.74/3.51 (xuntil6(s95)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8348, 8252])).
% 4.74/3.51 tff(8350,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8351,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8352,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s95, s96)) | (~xuntil6(s95)) | until5(s96)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8351, 8350])).
% 4.74/3.51 tff(8353,plain,
% 4.74/3.51 ((~xuntil6(s95)) | until5(s96)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8352, 6717, 173])).
% 4.74/3.51 tff(8354,plain,
% 4.74/3.51 (until5(s96)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8353, 8349])).
% 4.74/3.51 tff(8355,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s96) | node4(s96) | (~until5(s96)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8356,plain,
% 4.74/3.51 ((node4(s96) | (~until5(s96)) | xuntil6(s96)) <=> (xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8357,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s96) | node4(s96) | (~until5(s96))))),
% 4.74/3.51 inference(monotonicity,[status(thm)],[8356])).
% 4.74/3.51 tff(8358,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8357, 8355])).
% 4.74/3.51 tff(8359,plain,
% 4.74/3.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s96) | (~until5(s96)) | xuntil6(s96))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8360,plain,
% 4.74/3.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s96) | node4(s96) | (~until5(s96))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8359, 8358])).
% 4.74/3.51 tff(8361,plain,
% 4.74/3.51 (xuntil6(s96) | node4(s96)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8360, 155, 8354])).
% 4.74/3.51 tff(8362,plain,
% 4.74/3.51 (xuntil6(s96)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8361, 6714])).
% 4.74/3.51 tff(8363,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8364,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8365,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s96, s97)) | (~xuntil6(s96)) | until5(s97)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 4.74/3.51 tff(8366,plain,
% 4.74/3.51 ((~xuntil6(s96)) | until5(s97)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8365, 6701, 173])).
% 4.74/3.51 tff(8367,plain,
% 4.74/3.51 (until5(s97)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8366, 8362])).
% 4.74/3.51 tff(8368,assumption,(node4(s97)), introduced(assumption)).
% 4.74/3.51 tff(8369,plain,
% 4.74/3.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s97) | (~node4(s97)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s97) | (~node4(s97)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8370,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s97) | (~node4(s97)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8371,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s97) | (~node4(s97))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8370, 8369])).
% 4.74/3.51 tff(8372,plain,
% 4.74/3.51 (m_main_v_request(s97)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8371, 17, 8368])).
% 4.74/3.51 tff(8373,plain,
% 4.74/3.51 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s97) | (~node4(s97)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s97) | (~node4(s97)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8374,plain,
% 4.74/3.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s97) | (~node4(s97)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8375,plain,
% 4.74/3.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s97) | (~node4(s97))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8374, 8373])).
% 4.74/3.51 tff(8376,plain,
% 4.74/3.51 (always3(s97)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8375, 35, 8368])).
% 4.74/3.51 tff(8377,plain,
% 4.74/3.51 (always3(s98)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[6697, 8376])).
% 4.74/3.51 tff(8378,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s98)) | (~m_main_v_state(s98, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8379,plain,
% 4.74/3.51 (((~m_main_v_state(s98, c_busy)) | (~always3(s98))) <=> ((~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8380,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s98)) | (~m_main_v_state(s98, c_busy))))),
% 4.74/3.51 inference(monotonicity,[status(thm)],[8379])).
% 4.74/3.51 tff(8381,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8380, 8378])).
% 4.74/3.51 tff(8382,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s98, c_busy)) | (~always3(s98)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8383,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s98)) | (~m_main_v_state(s98, c_busy))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8382, 8381])).
% 4.74/3.51 tff(8384,plain,
% 4.74/3.51 (~m_main_v_state(s98, c_busy)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8383, 75, 8377])).
% 4.74/3.51 tff(8385,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s97, s98)) | node2(s97, s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s97, s98)) | node2(s97, s98))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8386,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s97, s98)) | node2(s97, s98))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8387,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s97, s98)) | node2(s97, s98)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8386, 8385])).
% 4.74/3.51 tff(8388,plain,
% 4.74/3.51 (node2(s97, s98)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8387, 7, 6693])).
% 4.74/3.51 tff(8389,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8390,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8391,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s97, c_ready)) | (~node2(s97, s98)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8390, 8389])).
% 4.74/3.51 tff(8392,plain,
% 4.74/3.51 ((~m_main_v_state(s97, c_ready)) | m_main_v_state(s98, c_busy) | (~m_main_v_request(s97))),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8391, 96, 8388])).
% 4.74/3.51 tff(8393,plain,
% 4.74/3.51 (~m_main_v_state(s97, c_ready)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8392, 8384, 8372])).
% 4.74/3.51 tff(8394,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s97)) | (~m_main_v_state(s97, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8395,plain,
% 4.74/3.51 (((~m_main_v_state(s97, c_busy)) | (~always3(s97))) <=> ((~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8396,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s97)) | (~m_main_v_state(s97, c_busy))))),
% 4.74/3.51 inference(monotonicity,[status(thm)],[8395])).
% 4.74/3.51 tff(8397,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8396, 8394])).
% 4.74/3.51 tff(8398,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s97, c_busy)) | (~always3(s97)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8399,plain,
% 4.74/3.51 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s97)) | (~m_main_v_state(s97, c_busy))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 4.74/3.51 tff(8400,plain,
% 4.74/3.51 (~m_main_v_state(s97, c_busy)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8399, 75, 8376])).
% 4.74/3.51 tff(8401,plain,
% 4.74/3.51 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8402,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8403,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s97, c_busy) | m_main_v_state(s97, c_ready)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8402, 8401])).
% 4.74/3.51 tff(8404,plain,
% 4.74/3.51 ($false),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8403, 118, 8400, 8393])).
% 4.74/3.51 tff(8405,plain,(~node4(s97)), inference(lemma,lemma(discharge,[]))).
% 4.74/3.51 tff(8406,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s97) | node4(s97) | (~until5(s97)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8407,plain,
% 4.74/3.51 ((node4(s97) | (~until5(s97)) | xuntil6(s97)) <=> (xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8408,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s97) | node4(s97) | (~until5(s97))))),
% 4.74/3.51 inference(monotonicity,[status(thm)],[8407])).
% 4.74/3.51 tff(8409,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8408, 8406])).
% 4.74/3.51 tff(8410,plain,
% 4.74/3.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s97) | (~until5(s97)) | xuntil6(s97))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8411,plain,
% 4.74/3.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s97) | node4(s97) | (~until5(s97))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8410, 8409])).
% 4.74/3.51 tff(8412,plain,
% 4.74/3.51 (xuntil6(s97) | (~until5(s97))),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8411, 155, 8405])).
% 4.74/3.51 tff(8413,plain,
% 4.74/3.51 (xuntil6(s97)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8412, 8367])).
% 4.74/3.51 tff(8414,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8415,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8416,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s97, s98)) | (~xuntil6(s97)) | until5(s98)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8415, 8414])).
% 4.74/3.51 tff(8417,plain,
% 4.74/3.51 ((~xuntil6(s97)) | until5(s98)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8416, 6689, 173])).
% 4.74/3.51 tff(8418,plain,
% 4.74/3.51 (until5(s98)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8417, 8413])).
% 4.74/3.51 tff(8419,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s98) | node4(s98) | (~until5(s98)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8420,plain,
% 4.74/3.51 ((node4(s98) | (~until5(s98)) | xuntil6(s98)) <=> (xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8421,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s98) | node4(s98) | (~until5(s98))))),
% 4.74/3.51 inference(monotonicity,[status(thm)],[8420])).
% 4.74/3.51 tff(8422,plain,
% 4.74/3.51 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98)))),
% 4.74/3.51 inference(transitivity,[status(thm)],[8421, 8419])).
% 4.74/3.51 tff(8423,plain,
% 4.74/3.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s98) | (~until5(s98)) | xuntil6(s98))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8424,plain,
% 4.74/3.51 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s98) | node4(s98) | (~until5(s98))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8423, 8422])).
% 4.74/3.51 tff(8425,plain,
% 4.74/3.51 (xuntil6(s98)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8424, 155, 8418, 6686])).
% 4.74/3.51 tff(8426,plain,
% 4.74/3.51 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8427,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8428,plain,
% 4.74/3.51 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s98, s99)) | (~xuntil6(s98)) | until5(s99)),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8427, 8426])).
% 4.74/3.51 tff(8429,plain,
% 4.74/3.51 ((~xuntil6(s98)) | until5(s99)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8428, 6673, 173])).
% 4.74/3.51 tff(8430,plain,
% 4.74/3.51 (until5(s99)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8429, 8425])).
% 4.74/3.51 tff(8431,assumption,(node4(s99)), introduced(assumption)).
% 4.74/3.51 tff(8432,plain,
% 4.74/3.51 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s99) | (~node4(s99)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s99) | (~node4(s99)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8433,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s99) | (~node4(s99)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8434,plain,
% 4.74/3.51 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s99) | (~node4(s99))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8433, 8432])).
% 4.74/3.51 tff(8435,plain,
% 4.74/3.51 (m_main_v_request(s99)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8434, 17, 8431])).
% 4.74/3.51 tff(8436,plain,
% 4.74/3.51 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s99) | (~node4(s99)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s99) | (~node4(s99)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8437,plain,
% 4.74/3.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s99) | (~node4(s99)))),
% 4.74/3.51 inference(quant_inst,[status(thm)],[])).
% 4.74/3.51 tff(8438,plain,
% 4.74/3.51 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s99) | (~node4(s99))),
% 4.74/3.51 inference(modus_ponens,[status(thm)],[8437, 8436])).
% 4.74/3.51 tff(8439,plain,
% 4.74/3.51 (always3(s99)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[8438, 35, 8431])).
% 4.74/3.51 tff(8440,plain,
% 4.74/3.51 (always3(s100)),
% 4.74/3.51 inference(unit_resolution,[status(thm)],[6669, 8439])).
% 4.74/3.51 tff(8441,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s100)) | (~m_main_v_state(s100, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8442,plain,
% 4.74/3.51 (((~m_main_v_state(s100, c_busy)) | (~always3(s100))) <=> ((~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 4.74/3.51 inference(rewrite,[status(thm)],[])).
% 4.74/3.51 tff(8443,plain,
% 4.74/3.51 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s100)) | (~m_main_v_state(s100, c_busy))))),
% 4.74/3.52 inference(monotonicity,[status(thm)],[8442])).
% 4.74/3.52 tff(8444,plain,
% 4.74/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy)))),
% 4.74/3.52 inference(transitivity,[status(thm)],[8443, 8441])).
% 4.74/3.52 tff(8445,plain,
% 4.74/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s100, c_busy)) | (~always3(s100)))),
% 4.74/3.52 inference(quant_inst,[status(thm)],[])).
% 4.74/3.52 tff(8446,plain,
% 4.74/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s100)) | (~m_main_v_state(s100, c_busy))),
% 4.74/3.52 inference(modus_ponens,[status(thm)],[8445, 8444])).
% 4.74/3.52 tff(8447,plain,
% 4.74/3.52 (~m_main_v_state(s100, c_busy)),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8446, 75, 8440])).
% 4.74/3.52 tff(8448,plain,
% 4.74/3.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s100)) | node2(s99, s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s100)) | node2(s99, s100))),
% 4.74/3.52 inference(rewrite,[status(thm)],[])).
% 4.74/3.52 tff(8449,plain,
% 4.74/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s99, s100)) | node2(s99, s100))),
% 4.74/3.52 inference(quant_inst,[status(thm)],[])).
% 4.74/3.52 tff(8450,plain,
% 4.74/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s99, s100)) | node2(s99, s100)),
% 4.74/3.52 inference(modus_ponens,[status(thm)],[8449, 8448])).
% 4.74/3.52 tff(8451,plain,
% 4.74/3.52 (node2(s99, s100)),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8450, 7, 6665])).
% 4.74/3.52 tff(8452,plain,
% 4.74/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99)))),
% 4.74/3.52 inference(rewrite,[status(thm)],[])).
% 4.74/3.52 tff(8453,plain,
% 4.74/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99)))),
% 4.74/3.52 inference(quant_inst,[status(thm)],[])).
% 4.74/3.52 tff(8454,plain,
% 4.74/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s99, c_ready)) | (~node2(s99, s100)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 4.74/3.52 inference(modus_ponens,[status(thm)],[8453, 8452])).
% 4.74/3.52 tff(8455,plain,
% 4.74/3.52 ((~m_main_v_state(s99, c_ready)) | m_main_v_state(s100, c_busy) | (~m_main_v_request(s99))),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8454, 96, 8451])).
% 4.74/3.52 tff(8456,plain,
% 4.74/3.52 (~m_main_v_state(s99, c_ready)),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8455, 8447, 8435])).
% 4.74/3.52 tff(8457,plain,
% 4.74/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s99)) | (~m_main_v_state(s99, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 4.74/3.52 inference(rewrite,[status(thm)],[])).
% 4.74/3.52 tff(8458,plain,
% 4.74/3.52 (((~m_main_v_state(s99, c_busy)) | (~always3(s99))) <=> ((~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 4.74/3.52 inference(rewrite,[status(thm)],[])).
% 4.74/3.52 tff(8459,plain,
% 4.74/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s99)) | (~m_main_v_state(s99, c_busy))))),
% 4.74/3.52 inference(monotonicity,[status(thm)],[8458])).
% 4.74/3.52 tff(8460,plain,
% 4.74/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy)))),
% 4.74/3.52 inference(transitivity,[status(thm)],[8459, 8457])).
% 4.74/3.52 tff(8461,plain,
% 4.74/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s99, c_busy)) | (~always3(s99)))),
% 4.74/3.52 inference(quant_inst,[status(thm)],[])).
% 4.74/3.52 tff(8462,plain,
% 4.74/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s99)) | (~m_main_v_state(s99, c_busy))),
% 4.74/3.52 inference(modus_ponens,[status(thm)],[8461, 8460])).
% 4.74/3.52 tff(8463,plain,
% 4.74/3.52 (~m_main_v_state(s99, c_busy)),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8462, 75, 8439])).
% 4.74/3.52 tff(8464,plain,
% 4.74/3.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready))),
% 4.74/3.52 inference(rewrite,[status(thm)],[])).
% 4.74/3.52 tff(8465,plain,
% 4.74/3.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready))),
% 4.74/3.52 inference(quant_inst,[status(thm)],[])).
% 4.74/3.52 tff(8466,plain,
% 4.74/3.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s99, c_busy) | m_main_v_state(s99, c_ready)),
% 4.74/3.52 inference(modus_ponens,[status(thm)],[8465, 8464])).
% 4.74/3.52 tff(8467,plain,
% 4.74/3.52 ($false),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8466, 118, 8463, 8456])).
% 4.74/3.52 tff(8468,plain,(~node4(s99)), inference(lemma,lemma(discharge,[]))).
% 4.74/3.52 tff(8469,plain,
% 4.74/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s99) | node4(s99) | (~until5(s99)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 4.74/3.52 inference(rewrite,[status(thm)],[])).
% 4.74/3.52 tff(8470,plain,
% 4.74/3.52 ((node4(s99) | (~until5(s99)) | xuntil6(s99)) <=> (xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 4.74/3.52 inference(rewrite,[status(thm)],[])).
% 4.74/3.52 tff(8471,plain,
% 4.74/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s99) | node4(s99) | (~until5(s99))))),
% 4.74/3.52 inference(monotonicity,[status(thm)],[8470])).
% 4.74/3.52 tff(8472,plain,
% 4.74/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99)))),
% 4.74/3.52 inference(transitivity,[status(thm)],[8471, 8469])).
% 4.74/3.52 tff(8473,plain,
% 4.74/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s99) | (~until5(s99)) | xuntil6(s99))),
% 4.74/3.52 inference(quant_inst,[status(thm)],[])).
% 4.74/3.52 tff(8474,plain,
% 4.74/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s99) | node4(s99) | (~until5(s99))),
% 4.74/3.52 inference(modus_ponens,[status(thm)],[8473, 8472])).
% 4.74/3.52 tff(8475,plain,
% 4.74/3.52 (xuntil6(s99) | (~until5(s99))),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8474, 155, 8468])).
% 4.74/3.52 tff(8476,plain,
% 4.74/3.52 (xuntil6(s99)),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8475, 8430])).
% 4.74/3.52 tff(8477,plain,
% 4.74/3.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))),
% 4.74/3.52 inference(rewrite,[status(thm)],[])).
% 4.74/3.52 tff(8478,plain,
% 4.74/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100))),
% 4.74/3.52 inference(quant_inst,[status(thm)],[])).
% 4.74/3.52 tff(8479,plain,
% 4.74/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s99, s100)) | (~xuntil6(s99)) | until5(s100)),
% 4.74/3.52 inference(modus_ponens,[status(thm)],[8478, 8477])).
% 4.74/3.52 tff(8480,plain,
% 4.74/3.52 ((~xuntil6(s99)) | until5(s100)),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8479, 6661, 173])).
% 4.74/3.52 tff(8481,plain,
% 4.74/3.52 (until5(s100)),
% 4.74/3.52 inference(unit_resolution,[status(thm)],[8480, 8476])).
% 4.74/3.52 tff(8482,plain,
% 4.74/3.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s100) | (~node4(s100)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s100) | (~node4(s100)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8483,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s100) | (~node4(s100)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8484,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s100) | (~node4(s100))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8483, 8482])).
% 4.76/3.52 tff(8485,plain,
% 4.76/3.52 (~node4(s100)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8484, 35, 6658])).
% 4.76/3.52 tff(8486,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s100) | node4(s100) | (~until5(s100)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8487,plain,
% 4.76/3.52 ((node4(s100) | (~until5(s100)) | xuntil6(s100)) <=> (xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8488,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s100) | node4(s100) | (~until5(s100))))),
% 4.76/3.52 inference(monotonicity,[status(thm)],[8487])).
% 4.76/3.52 tff(8489,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100)))),
% 4.76/3.52 inference(transitivity,[status(thm)],[8488, 8486])).
% 4.76/3.52 tff(8490,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s100) | (~until5(s100)) | xuntil6(s100))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8491,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s100) | node4(s100) | (~until5(s100))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8490, 8489])).
% 4.76/3.52 tff(8492,plain,
% 4.76/3.52 (xuntil6(s100) | (~until5(s100))),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8491, 155, 8485])).
% 4.76/3.52 tff(8493,plain,
% 4.76/3.52 (xuntil6(s100)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8492, 8481])).
% 4.76/3.52 tff(8494,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8495,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8496,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s100, s101)) | (~xuntil6(s100)) | until5(s101)),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8495, 8494])).
% 4.76/3.52 tff(8497,plain,
% 4.76/3.52 ((~xuntil6(s100)) | until5(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8496, 6649, 173])).
% 4.76/3.52 tff(8498,plain,
% 4.76/3.52 (until5(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8497, 8493])).
% 4.76/3.52 tff(8499,assumption,(until5(s101)), introduced(assumption)).
% 4.76/3.52 tff(8500,assumption,(~xuntil6(s102)), introduced(assumption)).
% 4.76/3.52 tff(8501,assumption,(~always3(s102)), introduced(assumption)).
% 4.76/3.52 tff(8502,plain,
% 4.76/3.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8503,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s102) | (~node4(s102)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8504,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s102) | (~node4(s102))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 4.76/3.52 tff(8505,plain,
% 4.76/3.52 (~node4(s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8504, 35, 8501])).
% 4.76/3.52 tff(8506,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s102) | node4(s102) | (~until5(s102)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8507,plain,
% 4.76/3.52 ((node4(s102) | (~until5(s102)) | xuntil6(s102)) <=> (xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8508,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s102) | node4(s102) | (~until5(s102))))),
% 4.76/3.52 inference(monotonicity,[status(thm)],[8507])).
% 4.76/3.52 tff(8509,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102)))),
% 4.76/3.52 inference(transitivity,[status(thm)],[8508, 8506])).
% 4.76/3.52 tff(8510,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s102) | (~until5(s102)) | xuntil6(s102))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8511,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s102) | node4(s102) | (~until5(s102))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8510, 8509])).
% 4.76/3.52 tff(8512,plain,
% 4.76/3.52 (node4(s102) | (~until5(s102))),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8511, 155, 8500])).
% 4.76/3.52 tff(8513,plain,
% 4.76/3.52 (~until5(s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8512, 8505])).
% 4.76/3.52 tff(8514,plain,
% 4.76/3.52 (~always3(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[6645, 8501])).
% 4.76/3.52 tff(8515,plain,
% 4.76/3.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8516,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s101) | (~node4(s101)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8517,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s101) | (~node4(s101))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8516, 8515])).
% 4.76/3.52 tff(8518,plain,
% 4.76/3.52 (~node4(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8517, 35, 8514])).
% 4.76/3.52 tff(8519,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s101) | node4(s101) | (~until5(s101)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8520,plain,
% 4.76/3.52 ((node4(s101) | (~until5(s101)) | xuntil6(s101)) <=> (xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8521,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s101) | node4(s101) | (~until5(s101))))),
% 4.76/3.52 inference(monotonicity,[status(thm)],[8520])).
% 4.76/3.52 tff(8522,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101)))),
% 4.76/3.52 inference(transitivity,[status(thm)],[8521, 8519])).
% 4.76/3.52 tff(8523,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s101) | (~until5(s101)) | xuntil6(s101))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8524,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s101) | node4(s101) | (~until5(s101))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8523, 8522])).
% 4.76/3.52 tff(8525,plain,
% 4.76/3.52 (xuntil6(s101) | node4(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8524, 155, 8499])).
% 4.76/3.52 tff(8526,plain,
% 4.76/3.52 (xuntil6(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8525, 8518])).
% 4.76/3.52 tff(8527,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8528,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8529,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s101, s102)) | (~xuntil6(s101)) | until5(s102)),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8528, 8527])).
% 4.76/3.52 tff(8530,plain,
% 4.76/3.52 ((~xuntil6(s101)) | until5(s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8529, 6637, 173])).
% 4.76/3.52 tff(8531,plain,
% 4.76/3.52 ($false),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8530, 8526, 8513])).
% 4.76/3.52 tff(8532,plain,(always3(s102) | (~until5(s101)) | xuntil6(s102)), inference(lemma,lemma(discharge,[]))).
% 4.76/3.52 tff(8533,plain,
% 4.76/3.52 (always3(s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8532, 8500, 8499])).
% 4.76/3.52 tff(8534,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s102)) | (~m_main_v_state(s102, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8535,plain,
% 4.76/3.52 (((~m_main_v_state(s102, c_busy)) | (~always3(s102))) <=> ((~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8536,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s102)) | (~m_main_v_state(s102, c_busy))))),
% 4.76/3.52 inference(monotonicity,[status(thm)],[8535])).
% 4.76/3.52 tff(8537,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy)))),
% 4.76/3.52 inference(transitivity,[status(thm)],[8536, 8534])).
% 4.76/3.52 tff(8538,plain,
% 4.76/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s102, c_busy)) | (~always3(s102)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8539,plain,
% 4.76/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s102)) | (~m_main_v_state(s102, c_busy))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8538, 8537])).
% 4.76/3.52 tff(8540,plain,
% 4.76/3.52 (~m_main_v_state(s102, c_busy)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8539, 75, 8533])).
% 4.76/3.52 tff(8541,plain,
% 4.76/3.52 (always3(s103)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[6633, 8533])).
% 4.76/3.52 tff(8542,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s103)) | (~m_main_v_state(s103, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8543,plain,
% 4.76/3.52 (((~m_main_v_state(s103, c_busy)) | (~always3(s103))) <=> ((~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8544,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s103)) | (~m_main_v_state(s103, c_busy))))),
% 4.76/3.52 inference(monotonicity,[status(thm)],[8543])).
% 4.76/3.52 tff(8545,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy)))),
% 4.76/3.52 inference(transitivity,[status(thm)],[8544, 8542])).
% 4.76/3.52 tff(8546,plain,
% 4.76/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s103, c_busy)) | (~always3(s103)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8547,plain,
% 4.76/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s103)) | (~m_main_v_state(s103, c_busy))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8546, 8545])).
% 4.76/3.52 tff(8548,plain,
% 4.76/3.52 (~m_main_v_state(s103, c_busy)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8547, 75, 8541])).
% 4.76/3.52 tff(8549,plain,
% 4.76/3.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8550,plain,
% 4.76/3.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8551,plain,
% 4.76/3.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s102, c_busy) | m_main_v_state(s102, c_ready)),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8550, 8549])).
% 4.76/3.52 tff(8552,plain,
% 4.76/3.52 (m_main_v_state(s102, c_ready)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8551, 118, 8540])).
% 4.76/3.52 tff(8553,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s102, s103)) | node2(s102, s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s102, s103)) | node2(s102, s103))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8554,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s102, s103)) | node2(s102, s103))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8555,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s102, s103)) | node2(s102, s103)),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 4.76/3.52 tff(8556,plain,
% 4.76/3.52 (node2(s102, s103)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8555, 7, 6629])).
% 4.76/3.52 tff(8557,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8558,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8559,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s102, c_ready)) | (~node2(s102, s103)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8558, 8557])).
% 4.76/3.52 tff(8560,plain,
% 4.76/3.52 ((~m_main_v_state(s102, c_ready)) | m_main_v_state(s103, c_busy) | (~m_main_v_request(s102))),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8559, 96, 8556])).
% 4.76/3.52 tff(8561,plain,
% 4.76/3.52 (~m_main_v_request(s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8560, 8552, 8548])).
% 4.76/3.52 tff(8562,plain,
% 4.76/3.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s102) | (~node4(s102)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s102) | (~node4(s102)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8563,plain,
% 4.76/3.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s102) | (~node4(s102)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8564,plain,
% 4.76/3.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s102) | (~node4(s102))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8563, 8562])).
% 4.76/3.52 tff(8565,plain,
% 4.76/3.52 (~node4(s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8564, 17, 8561])).
% 4.76/3.52 tff(8566,plain,
% 4.76/3.52 (~until5(s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8512, 8565])).
% 4.76/3.52 tff(8567,plain,
% 4.76/3.52 (~xuntil6(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8530, 8566])).
% 4.76/3.52 tff(8568,plain,
% 4.76/3.52 (node4(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8525, 8567])).
% 4.76/3.52 tff(8569,plain,
% 4.76/3.52 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s101) | (~node4(s101)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s101) | (~node4(s101)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8570,plain,
% 4.76/3.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s101) | (~node4(s101)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8571,plain,
% 4.76/3.52 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s101) | (~node4(s101))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8570, 8569])).
% 4.76/3.52 tff(8572,plain,
% 4.76/3.52 (m_main_v_request(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8571, 17, 8568])).
% 4.76/3.52 tff(8573,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s101, s102)) | node2(s101, s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s101, s102)) | node2(s101, s102))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8574,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s101, s102)) | node2(s101, s102))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8575,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s101, s102)) | node2(s101, s102)),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8574, 8573])).
% 4.76/3.52 tff(8576,plain,
% 4.76/3.52 (node2(s101, s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8575, 7, 6641])).
% 4.76/3.52 tff(8577,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8578,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8579,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s101, c_ready)) | (~node2(s101, s102)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8578, 8577])).
% 4.76/3.52 tff(8580,plain,
% 4.76/3.52 ((~m_main_v_state(s101, c_ready)) | m_main_v_state(s102, c_busy) | (~m_main_v_request(s101))),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8579, 96, 8576])).
% 4.76/3.52 tff(8581,plain,
% 4.76/3.52 (~m_main_v_state(s101, c_ready)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8580, 8572, 8540])).
% 4.76/3.52 tff(8582,plain,
% 4.76/3.52 (always3(s101)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8517, 35, 8568])).
% 4.76/3.52 tff(8583,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s101)) | (~m_main_v_state(s101, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8584,plain,
% 4.76/3.52 (((~m_main_v_state(s101, c_busy)) | (~always3(s101))) <=> ((~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8585,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s101)) | (~m_main_v_state(s101, c_busy))))),
% 4.76/3.52 inference(monotonicity,[status(thm)],[8584])).
% 4.76/3.52 tff(8586,plain,
% 4.76/3.52 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy)))),
% 4.76/3.52 inference(transitivity,[status(thm)],[8585, 8583])).
% 4.76/3.52 tff(8587,plain,
% 4.76/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s101, c_busy)) | (~always3(s101)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8588,plain,
% 4.76/3.52 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s101)) | (~m_main_v_state(s101, c_busy))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8587, 8586])).
% 4.76/3.52 tff(8589,plain,
% 4.76/3.52 (~m_main_v_state(s101, c_busy)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8588, 75, 8582])).
% 4.76/3.52 tff(8590,plain,
% 4.76/3.52 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8591,plain,
% 4.76/3.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8592,plain,
% 4.76/3.52 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s101, c_busy) | m_main_v_state(s101, c_ready)),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8591, 8590])).
% 4.76/3.52 tff(8593,plain,
% 4.76/3.52 ($false),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8592, 118, 8589, 8581])).
% 4.76/3.52 tff(8594,plain,(xuntil6(s102) | (~until5(s101))), inference(lemma,lemma(discharge,[]))).
% 4.76/3.52 tff(8595,plain,
% 4.76/3.52 (xuntil6(s102)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8594, 8498])).
% 4.76/3.52 tff(8596,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8597,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8598,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s102, s103)) | (~xuntil6(s102)) | until5(s103)),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8597, 8596])).
% 4.76/3.52 tff(8599,plain,
% 4.76/3.52 ((~xuntil6(s102)) | until5(s103)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8598, 6625, 173])).
% 4.76/3.52 tff(8600,plain,
% 4.76/3.52 (until5(s103)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8599, 8595])).
% 4.76/3.52 tff(8601,plain,
% 4.76/3.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8602,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s103) | (~node4(s103)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8603,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s103) | (~node4(s103))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8602, 8601])).
% 4.76/3.52 tff(8604,plain,
% 4.76/3.52 (~node4(s103)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8603, 35, 6622])).
% 4.76/3.52 tff(8605,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s103) | node4(s103) | (~until5(s103)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8606,plain,
% 4.76/3.52 ((node4(s103) | (~until5(s103)) | xuntil6(s103)) <=> (xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8607,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s103) | node4(s103) | (~until5(s103))))),
% 4.76/3.52 inference(monotonicity,[status(thm)],[8606])).
% 4.76/3.52 tff(8608,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103)))),
% 4.76/3.52 inference(transitivity,[status(thm)],[8607, 8605])).
% 4.76/3.52 tff(8609,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s103) | (~until5(s103)) | xuntil6(s103))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8610,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s103) | node4(s103) | (~until5(s103))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8609, 8608])).
% 4.76/3.52 tff(8611,plain,
% 4.76/3.52 (xuntil6(s103) | (~until5(s103))),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8610, 155, 8604])).
% 4.76/3.52 tff(8612,plain,
% 4.76/3.52 (xuntil6(s103)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8611, 8600])).
% 4.76/3.52 tff(8613,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8614,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8615,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s103, s104)) | (~xuntil6(s103)) | until5(s104)),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 4.76/3.52 tff(8616,plain,
% 4.76/3.52 ((~xuntil6(s103)) | until5(s104)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8615, 6613, 173])).
% 4.76/3.52 tff(8617,plain,
% 4.76/3.52 (until5(s104)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8616, 8612])).
% 4.76/3.52 tff(8618,plain,
% 4.76/3.52 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8619,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s104) | (~node4(s104)))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8620,plain,
% 4.76/3.52 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s104) | (~node4(s104))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8619, 8618])).
% 4.76/3.52 tff(8621,plain,
% 4.76/3.52 (~node4(s104)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8620, 35, 6610])).
% 4.76/3.52 tff(8622,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s104) | node4(s104) | (~until5(s104)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8623,plain,
% 4.76/3.52 ((node4(s104) | (~until5(s104)) | xuntil6(s104)) <=> (xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8624,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s104) | node4(s104) | (~until5(s104))))),
% 4.76/3.52 inference(monotonicity,[status(thm)],[8623])).
% 4.76/3.52 tff(8625,plain,
% 4.76/3.52 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104)))),
% 4.76/3.52 inference(transitivity,[status(thm)],[8624, 8622])).
% 4.76/3.52 tff(8626,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s104) | (~until5(s104)) | xuntil6(s104))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.52 tff(8627,plain,
% 4.76/3.52 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s104) | node4(s104) | (~until5(s104))),
% 4.76/3.52 inference(modus_ponens,[status(thm)],[8626, 8625])).
% 4.76/3.52 tff(8628,plain,
% 4.76/3.52 (xuntil6(s104) | (~until5(s104))),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8627, 155, 8621])).
% 4.76/3.52 tff(8629,plain,
% 4.76/3.52 (xuntil6(s104)),
% 4.76/3.52 inference(unit_resolution,[status(thm)],[8628, 8617])).
% 4.76/3.52 tff(8630,plain,
% 4.76/3.52 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))),
% 4.76/3.52 inference(rewrite,[status(thm)],[])).
% 4.76/3.52 tff(8631,plain,
% 4.76/3.52 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105))),
% 4.76/3.52 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8632,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s104, s105)) | (~xuntil6(s104)) | until5(s105)),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8631, 8630])).
% 4.76/3.53 tff(8633,plain,
% 4.76/3.53 ((~xuntil6(s104)) | until5(s105)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8632, 6601, 173])).
% 4.76/3.53 tff(8634,plain,
% 4.76/3.53 (until5(s105)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8633, 8629])).
% 4.76/3.53 tff(8635,plain,
% 4.76/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s105) | (~node4(s105)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s105) | (~node4(s105)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8636,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s105) | (~node4(s105)))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8637,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s105) | (~node4(s105))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8636, 8635])).
% 4.76/3.53 tff(8638,plain,
% 4.76/3.53 (~node4(s105)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8637, 35, 6598])).
% 4.76/3.53 tff(8639,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s105) | node4(s105) | (~until5(s105)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8640,plain,
% 4.76/3.53 ((node4(s105) | (~until5(s105)) | xuntil6(s105)) <=> (xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8641,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s105) | node4(s105) | (~until5(s105))))),
% 4.76/3.53 inference(monotonicity,[status(thm)],[8640])).
% 4.76/3.53 tff(8642,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105)))),
% 4.76/3.53 inference(transitivity,[status(thm)],[8641, 8639])).
% 4.76/3.53 tff(8643,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s105) | (~until5(s105)) | xuntil6(s105))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8644,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s105) | node4(s105) | (~until5(s105))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8643, 8642])).
% 4.76/3.53 tff(8645,plain,
% 4.76/3.53 (xuntil6(s105) | (~until5(s105))),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8644, 155, 8638])).
% 4.76/3.53 tff(8646,plain,
% 4.76/3.53 (xuntil6(s105)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8645, 8634])).
% 4.76/3.53 tff(8647,plain,
% 4.76/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8648,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8649,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s105, s106)) | (~xuntil6(s105)) | until5(s106)),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8648, 8647])).
% 4.76/3.53 tff(8650,plain,
% 4.76/3.53 ((~xuntil6(s105)) | until5(s106)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8649, 6589, 173])).
% 4.76/3.53 tff(8651,plain,
% 4.76/3.53 (until5(s106)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8650, 8646])).
% 4.76/3.53 tff(8652,plain,
% 4.76/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s106) | (~node4(s106)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s106) | (~node4(s106)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8653,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s106) | (~node4(s106)))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8654,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s106) | (~node4(s106))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8653, 8652])).
% 4.76/3.53 tff(8655,plain,
% 4.76/3.53 (~node4(s106)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8654, 35, 6586])).
% 4.76/3.53 tff(8656,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s106) | node4(s106) | (~until5(s106)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8657,plain,
% 4.76/3.53 ((node4(s106) | (~until5(s106)) | xuntil6(s106)) <=> (xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8658,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s106) | node4(s106) | (~until5(s106))))),
% 4.76/3.53 inference(monotonicity,[status(thm)],[8657])).
% 4.76/3.53 tff(8659,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106)))),
% 4.76/3.53 inference(transitivity,[status(thm)],[8658, 8656])).
% 4.76/3.53 tff(8660,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s106) | (~until5(s106)) | xuntil6(s106))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8661,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s106) | node4(s106) | (~until5(s106))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8660, 8659])).
% 4.76/3.53 tff(8662,plain,
% 4.76/3.53 (xuntil6(s106) | (~until5(s106))),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8661, 155, 8655])).
% 4.76/3.53 tff(8663,plain,
% 4.76/3.53 (xuntil6(s106)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8662, 8651])).
% 4.76/3.53 tff(8664,plain,
% 4.76/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8665,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8666,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s106, s107)) | (~xuntil6(s106)) | until5(s107)),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 4.76/3.53 tff(8667,plain,
% 4.76/3.53 ((~xuntil6(s106)) | until5(s107)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8666, 6577, 173])).
% 4.76/3.53 tff(8668,plain,
% 4.76/3.53 (until5(s107)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8667, 8663])).
% 4.76/3.53 tff(8669,plain,
% 4.76/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s107) | (~node4(s107)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s107) | (~node4(s107)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8670,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s107) | (~node4(s107)))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8671,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s107) | (~node4(s107))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8670, 8669])).
% 4.76/3.53 tff(8672,plain,
% 4.76/3.53 (~node4(s107)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8671, 35, 6574])).
% 4.76/3.53 tff(8673,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s107) | node4(s107) | (~until5(s107)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8674,plain,
% 4.76/3.53 ((node4(s107) | (~until5(s107)) | xuntil6(s107)) <=> (xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8675,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s107) | node4(s107) | (~until5(s107))))),
% 4.76/3.53 inference(monotonicity,[status(thm)],[8674])).
% 4.76/3.53 tff(8676,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107)))),
% 4.76/3.53 inference(transitivity,[status(thm)],[8675, 8673])).
% 4.76/3.53 tff(8677,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s107) | (~until5(s107)) | xuntil6(s107))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8678,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s107) | node4(s107) | (~until5(s107))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 4.76/3.53 tff(8679,plain,
% 4.76/3.53 (xuntil6(s107) | (~until5(s107))),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8678, 155, 8672])).
% 4.76/3.53 tff(8680,plain,
% 4.76/3.53 (xuntil6(s107)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8679, 8668])).
% 4.76/3.53 tff(8681,plain,
% 4.76/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8682,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8683,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s107, s108)) | (~xuntil6(s107)) | until5(s108)),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8682, 8681])).
% 4.76/3.53 tff(8684,plain,
% 4.76/3.53 ((~xuntil6(s107)) | until5(s108)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8683, 6565, 173])).
% 4.76/3.53 tff(8685,plain,
% 4.76/3.53 (until5(s108)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8684, 8680])).
% 4.76/3.53 tff(8686,plain,
% 4.76/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s108) | (~node4(s108)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8687,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s108) | (~node4(s108)))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8688,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s108) | (~node4(s108))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8687, 8686])).
% 4.76/3.53 tff(8689,plain,
% 4.76/3.53 (~node4(s108)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8688, 35, 6562])).
% 4.76/3.53 tff(8690,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s108) | node4(s108) | (~until5(s108)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8691,plain,
% 4.76/3.53 ((node4(s108) | (~until5(s108)) | xuntil6(s108)) <=> (xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8692,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s108) | (~until5(s108)) | xuntil6(s108))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s108) | node4(s108) | (~until5(s108))))),
% 4.76/3.53 inference(monotonicity,[status(thm)],[8691])).
% 4.76/3.53 tff(8693,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s108) | (~until5(s108)) | xuntil6(s108))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108)))),
% 4.76/3.53 inference(transitivity,[status(thm)],[8692, 8690])).
% 4.76/3.53 tff(8694,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s108) | (~until5(s108)) | xuntil6(s108))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8695,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s108) | node4(s108) | (~until5(s108))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8694, 8693])).
% 4.76/3.53 tff(8696,plain,
% 4.76/3.53 (xuntil6(s108) | (~until5(s108))),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8695, 155, 8689])).
% 4.76/3.53 tff(8697,plain,
% 4.76/3.53 (xuntil6(s108)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8696, 8685])).
% 4.76/3.53 tff(8698,plain,
% 4.76/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8699,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8700,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s108, s109)) | (~xuntil6(s108)) | until5(s109)),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 4.76/3.53 tff(8701,plain,
% 4.76/3.53 ((~xuntil6(s108)) | until5(s109)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8700, 6553, 173])).
% 4.76/3.53 tff(8702,plain,
% 4.76/3.53 (until5(s109)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8701, 8697])).
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% 4.76/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8704,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s109) | (~node4(s109)))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8705,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s109) | (~node4(s109))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8704, 8703])).
% 4.76/3.53 tff(8706,plain,
% 4.76/3.53 (~node4(s109)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8705, 35, 6550])).
% 4.76/3.53 tff(8707,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s109) | node4(s109) | (~until5(s109)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8708,plain,
% 4.76/3.53 ((node4(s109) | (~until5(s109)) | xuntil6(s109)) <=> (xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8709,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s109) | node4(s109) | (~until5(s109))))),
% 4.76/3.53 inference(monotonicity,[status(thm)],[8708])).
% 4.76/3.53 tff(8710,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109)))),
% 4.76/3.53 inference(transitivity,[status(thm)],[8709, 8707])).
% 4.76/3.53 tff(8711,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s109) | (~until5(s109)) | xuntil6(s109))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8712,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s109) | node4(s109) | (~until5(s109))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8711, 8710])).
% 4.76/3.53 tff(8713,plain,
% 4.76/3.53 (xuntil6(s109) | (~until5(s109))),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8712, 155, 8706])).
% 4.76/3.53 tff(8714,plain,
% 4.76/3.53 (xuntil6(s109)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8713, 8702])).
% 4.76/3.53 tff(8715,plain,
% 4.76/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8716,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8717,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s109, s110)) | (~xuntil6(s109)) | until5(s110)),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8716, 8715])).
% 4.76/3.53 tff(8718,plain,
% 4.76/3.53 ((~xuntil6(s109)) | until5(s110)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8717, 6541, 173])).
% 4.76/3.53 tff(8719,plain,
% 4.76/3.53 (until5(s110)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8718, 8714])).
% 4.76/3.53 tff(8720,plain,
% 4.76/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8721,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s110) | (~node4(s110)))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8722,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s110) | (~node4(s110))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8721, 8720])).
% 4.76/3.53 tff(8723,plain,
% 4.76/3.53 (~node4(s110)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8722, 35, 6538])).
% 4.76/3.53 tff(8724,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s110) | node4(s110) | (~until5(s110)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8725,plain,
% 4.76/3.53 ((node4(s110) | (~until5(s110)) | xuntil6(s110)) <=> (xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8726,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s110) | node4(s110) | (~until5(s110))))),
% 4.76/3.53 inference(monotonicity,[status(thm)],[8725])).
% 4.76/3.53 tff(8727,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110)))),
% 4.76/3.53 inference(transitivity,[status(thm)],[8726, 8724])).
% 4.76/3.53 tff(8728,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s110) | (~until5(s110)) | xuntil6(s110))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8729,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s110) | node4(s110) | (~until5(s110))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8728, 8727])).
% 4.76/3.53 tff(8730,plain,
% 4.76/3.53 (xuntil6(s110) | (~until5(s110))),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8729, 155, 8723])).
% 4.76/3.53 tff(8731,plain,
% 4.76/3.53 (xuntil6(s110)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8730, 8719])).
% 4.76/3.53 tff(8732,plain,
% 4.76/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8733,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8734,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s110, s111)) | (~xuntil6(s110)) | until5(s111)),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8733, 8732])).
% 4.76/3.53 tff(8735,plain,
% 4.76/3.53 ((~xuntil6(s110)) | until5(s111)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8734, 6529, 173])).
% 4.76/3.53 tff(8736,plain,
% 4.76/3.53 (until5(s111)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8735, 8731])).
% 4.76/3.53 tff(8737,plain,
% 4.76/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8738,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s111) | (~node4(s111)))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8739,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s111) | (~node4(s111))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8738, 8737])).
% 4.76/3.53 tff(8740,plain,
% 4.76/3.53 (~node4(s111)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8739, 35, 6526])).
% 4.76/3.53 tff(8741,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s111) | node4(s111) | (~until5(s111)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8742,plain,
% 4.76/3.53 ((node4(s111) | (~until5(s111)) | xuntil6(s111)) <=> (xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8743,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s111) | node4(s111) | (~until5(s111))))),
% 4.76/3.53 inference(monotonicity,[status(thm)],[8742])).
% 4.76/3.53 tff(8744,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111)))),
% 4.76/3.53 inference(transitivity,[status(thm)],[8743, 8741])).
% 4.76/3.53 tff(8745,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s111) | (~until5(s111)) | xuntil6(s111))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8746,plain,
% 4.76/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s111) | node4(s111) | (~until5(s111))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8745, 8744])).
% 4.76/3.53 tff(8747,plain,
% 4.76/3.53 (xuntil6(s111) | (~until5(s111))),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8746, 155, 8740])).
% 4.76/3.53 tff(8748,plain,
% 4.76/3.53 (xuntil6(s111)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8747, 8736])).
% 4.76/3.53 tff(8749,plain,
% 4.76/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8750,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8751,plain,
% 4.76/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s111, s112)) | (~xuntil6(s111)) | until5(s112)),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8750, 8749])).
% 4.76/3.53 tff(8752,plain,
% 4.76/3.53 ((~xuntil6(s111)) | until5(s112)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8751, 6517, 173])).
% 4.76/3.53 tff(8753,plain,
% 4.76/3.53 (until5(s112)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8752, 8748])).
% 4.76/3.53 tff(8754,plain,
% 4.76/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8755,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s112) | (~node4(s112)))),
% 4.76/3.53 inference(quant_inst,[status(thm)],[])).
% 4.76/3.53 tff(8756,plain,
% 4.76/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s112) | (~node4(s112))),
% 4.76/3.53 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 4.76/3.53 tff(8757,plain,
% 4.76/3.53 (~node4(s112)),
% 4.76/3.53 inference(unit_resolution,[status(thm)],[8756, 35, 6514])).
% 4.76/3.53 tff(8758,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s112) | node4(s112) | (~until5(s112)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8759,plain,
% 4.76/3.53 ((node4(s112) | (~until5(s112)) | xuntil6(s112)) <=> (xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 4.76/3.53 inference(rewrite,[status(thm)],[])).
% 4.76/3.53 tff(8760,plain,
% 4.76/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s112) | node4(s112) | (~until5(s112))))),
% 4.77/3.53 inference(monotonicity,[status(thm)],[8759])).
% 4.77/3.53 tff(8761,plain,
% 4.77/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112)))),
% 4.77/3.53 inference(transitivity,[status(thm)],[8760, 8758])).
% 4.77/3.53 tff(8762,plain,
% 4.77/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s112) | (~until5(s112)) | xuntil6(s112))),
% 4.77/3.53 inference(quant_inst,[status(thm)],[])).
% 4.77/3.53 tff(8763,plain,
% 4.77/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s112) | node4(s112) | (~until5(s112))),
% 4.77/3.53 inference(modus_ponens,[status(thm)],[8762, 8761])).
% 4.77/3.53 tff(8764,plain,
% 4.77/3.53 (xuntil6(s112) | (~until5(s112))),
% 4.77/3.53 inference(unit_resolution,[status(thm)],[8763, 155, 8757])).
% 4.77/3.53 tff(8765,plain,
% 4.77/3.53 (xuntil6(s112)),
% 4.77/3.53 inference(unit_resolution,[status(thm)],[8764, 8753])).
% 4.77/3.53 tff(8766,plain,
% 4.77/3.53 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))),
% 4.77/3.53 inference(rewrite,[status(thm)],[])).
% 4.77/3.53 tff(8767,plain,
% 4.77/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113))),
% 4.77/3.53 inference(quant_inst,[status(thm)],[])).
% 4.77/3.53 tff(8768,plain,
% 4.77/3.53 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s112, s113)) | (~xuntil6(s112)) | until5(s113)),
% 4.77/3.53 inference(modus_ponens,[status(thm)],[8767, 8766])).
% 4.77/3.53 tff(8769,plain,
% 4.77/3.53 ((~xuntil6(s112)) | until5(s113)),
% 4.77/3.53 inference(unit_resolution,[status(thm)],[8768, 6505, 173])).
% 4.77/3.53 tff(8770,plain,
% 4.77/3.53 (until5(s113)),
% 4.77/3.53 inference(unit_resolution,[status(thm)],[8769, 8765])).
% 4.77/3.53 tff(8771,plain,
% 4.77/3.53 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113)))),
% 4.77/3.53 inference(rewrite,[status(thm)],[])).
% 4.77/3.53 tff(8772,plain,
% 4.77/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s113) | (~node4(s113)))),
% 4.77/3.53 inference(quant_inst,[status(thm)],[])).
% 4.77/3.53 tff(8773,plain,
% 4.77/3.53 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s113) | (~node4(s113))),
% 4.77/3.53 inference(modus_ponens,[status(thm)],[8772, 8771])).
% 4.77/3.53 tff(8774,plain,
% 4.77/3.53 (~node4(s113)),
% 4.77/3.53 inference(unit_resolution,[status(thm)],[8773, 35, 6502])).
% 4.77/3.53 tff(8775,plain,
% 4.77/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s113) | node4(s113) | (~until5(s113)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 4.77/3.53 inference(rewrite,[status(thm)],[])).
% 4.77/3.53 tff(8776,plain,
% 4.77/3.53 ((node4(s113) | (~until5(s113)) | xuntil6(s113)) <=> (xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 4.77/3.53 inference(rewrite,[status(thm)],[])).
% 4.77/3.53 tff(8777,plain,
% 4.77/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s113) | node4(s113) | (~until5(s113))))),
% 4.77/3.53 inference(monotonicity,[status(thm)],[8776])).
% 4.77/3.53 tff(8778,plain,
% 4.77/3.53 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113)))),
% 4.77/3.53 inference(transitivity,[status(thm)],[8777, 8775])).
% 4.77/3.53 tff(8779,plain,
% 4.77/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s113) | (~until5(s113)) | xuntil6(s113))),
% 4.77/3.53 inference(quant_inst,[status(thm)],[])).
% 4.77/3.53 tff(8780,plain,
% 4.77/3.53 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s113) | node4(s113) | (~until5(s113))),
% 4.77/3.53 inference(modus_ponens,[status(thm)],[8779, 8778])).
% 4.77/3.53 tff(8781,plain,
% 4.77/3.53 (xuntil6(s113) | (~until5(s113))),
% 4.77/3.53 inference(unit_resolution,[status(thm)],[8780, 155, 8774])).
% 4.77/3.53 tff(8782,plain,
% 4.77/3.54 (xuntil6(s113)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8781, 8770])).
% 4.77/3.54 tff(8783,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8784,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8785,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s113, s114)) | (~xuntil6(s113)) | until5(s114)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8784, 8783])).
% 4.77/3.54 tff(8786,plain,
% 4.77/3.54 ((~xuntil6(s113)) | until5(s114)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8785, 6493, 173])).
% 4.77/3.54 tff(8787,plain,
% 4.77/3.54 (until5(s114)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8786, 8782])).
% 4.77/3.54 tff(8788,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8789,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s114) | (~node4(s114)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8790,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s114) | (~node4(s114))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8789, 8788])).
% 4.77/3.54 tff(8791,plain,
% 4.77/3.54 (~node4(s114)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8790, 35, 6490])).
% 4.77/3.54 tff(8792,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s114) | node4(s114) | (~until5(s114)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8793,plain,
% 4.77/3.54 ((node4(s114) | (~until5(s114)) | xuntil6(s114)) <=> (xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8794,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s114) | node4(s114) | (~until5(s114))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8793])).
% 4.77/3.54 tff(8795,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8794, 8792])).
% 4.77/3.54 tff(8796,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s114) | (~until5(s114)) | xuntil6(s114))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8797,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s114) | node4(s114) | (~until5(s114))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8796, 8795])).
% 4.77/3.54 tff(8798,plain,
% 4.77/3.54 (xuntil6(s114) | (~until5(s114))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8797, 155, 8791])).
% 4.77/3.54 tff(8799,plain,
% 4.77/3.54 (xuntil6(s114)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8798, 8787])).
% 4.77/3.54 tff(8800,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8801,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8802,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s114, s115)) | (~xuntil6(s114)) | until5(s115)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8801, 8800])).
% 4.77/3.54 tff(8803,plain,
% 4.77/3.54 ((~xuntil6(s114)) | until5(s115)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8802, 6481, 173])).
% 4.77/3.54 tff(8804,plain,
% 4.77/3.54 (until5(s115)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8803, 8799])).
% 4.77/3.54 tff(8805,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8806,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s115) | (~node4(s115)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8807,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s115) | (~node4(s115))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8806, 8805])).
% 4.77/3.54 tff(8808,plain,
% 4.77/3.54 (~node4(s115)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8807, 35, 6478])).
% 4.77/3.54 tff(8809,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s115) | node4(s115) | (~until5(s115)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8810,plain,
% 4.77/3.54 ((node4(s115) | (~until5(s115)) | xuntil6(s115)) <=> (xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8811,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s115) | node4(s115) | (~until5(s115))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8810])).
% 4.77/3.54 tff(8812,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8811, 8809])).
% 4.77/3.54 tff(8813,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s115) | (~until5(s115)) | xuntil6(s115))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8814,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s115) | node4(s115) | (~until5(s115))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8813, 8812])).
% 4.77/3.54 tff(8815,plain,
% 4.77/3.54 (xuntil6(s115) | (~until5(s115))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8814, 155, 8808])).
% 4.77/3.54 tff(8816,plain,
% 4.77/3.54 (xuntil6(s115)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8815, 8804])).
% 4.77/3.54 tff(8817,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8818,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8819,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s115, s116)) | (~xuntil6(s115)) | until5(s116)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8818, 8817])).
% 4.77/3.54 tff(8820,plain,
% 4.77/3.54 ((~xuntil6(s115)) | until5(s116)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8819, 6469, 173])).
% 4.77/3.54 tff(8821,plain,
% 4.77/3.54 (until5(s116)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8820, 8816])).
% 4.77/3.54 tff(8822,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8823,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s116) | (~node4(s116)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8824,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s116) | (~node4(s116))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 4.77/3.54 tff(8825,plain,
% 4.77/3.54 (~node4(s116)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8824, 35, 6466])).
% 4.77/3.54 tff(8826,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s116) | node4(s116) | (~until5(s116)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8827,plain,
% 4.77/3.54 ((node4(s116) | (~until5(s116)) | xuntil6(s116)) <=> (xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8828,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s116) | node4(s116) | (~until5(s116))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8827])).
% 4.77/3.54 tff(8829,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8828, 8826])).
% 4.77/3.54 tff(8830,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s116) | (~until5(s116)) | xuntil6(s116))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8831,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s116) | node4(s116) | (~until5(s116))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8830, 8829])).
% 4.77/3.54 tff(8832,plain,
% 4.77/3.54 (xuntil6(s116) | (~until5(s116))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8831, 155, 8825])).
% 4.77/3.54 tff(8833,plain,
% 4.77/3.54 (xuntil6(s116)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8832, 8821])).
% 4.77/3.54 tff(8834,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8835,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8836,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s116, s117)) | (~xuntil6(s116)) | until5(s117)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8835, 8834])).
% 4.77/3.54 tff(8837,plain,
% 4.77/3.54 ((~xuntil6(s116)) | until5(s117)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8836, 6457, 173])).
% 4.77/3.54 tff(8838,plain,
% 4.77/3.54 (until5(s117)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8837, 8833])).
% 4.77/3.54 tff(8839,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8840,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s117) | (~node4(s117)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8841,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s117) | (~node4(s117))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8840, 8839])).
% 4.77/3.54 tff(8842,plain,
% 4.77/3.54 (~node4(s117)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8841, 35, 6454])).
% 4.77/3.54 tff(8843,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s117) | node4(s117) | (~until5(s117)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8844,plain,
% 4.77/3.54 ((node4(s117) | (~until5(s117)) | xuntil6(s117)) <=> (xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8845,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s117) | node4(s117) | (~until5(s117))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8844])).
% 4.77/3.54 tff(8846,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8845, 8843])).
% 4.77/3.54 tff(8847,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s117) | (~until5(s117)) | xuntil6(s117))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8848,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s117) | node4(s117) | (~until5(s117))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8847, 8846])).
% 4.77/3.54 tff(8849,plain,
% 4.77/3.54 (xuntil6(s117) | (~until5(s117))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8848, 155, 8842])).
% 4.77/3.54 tff(8850,plain,
% 4.77/3.54 (xuntil6(s117)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8849, 8838])).
% 4.77/3.54 tff(8851,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8852,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8853,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s117, s118)) | (~xuntil6(s117)) | until5(s118)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8852, 8851])).
% 4.77/3.54 tff(8854,plain,
% 4.77/3.54 ((~xuntil6(s117)) | until5(s118)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8853, 6445, 173])).
% 4.77/3.54 tff(8855,plain,
% 4.77/3.54 (until5(s118)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8854, 8850])).
% 4.77/3.54 tff(8856,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8857,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s118) | (~node4(s118)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8858,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s118) | (~node4(s118))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8857, 8856])).
% 4.77/3.54 tff(8859,plain,
% 4.77/3.54 (~node4(s118)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8858, 35, 6442])).
% 4.77/3.54 tff(8860,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s118) | node4(s118) | (~until5(s118)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8861,plain,
% 4.77/3.54 ((node4(s118) | (~until5(s118)) | xuntil6(s118)) <=> (xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8862,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s118) | node4(s118) | (~until5(s118))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8861])).
% 4.77/3.54 tff(8863,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8862, 8860])).
% 4.77/3.54 tff(8864,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s118) | (~until5(s118)) | xuntil6(s118))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8865,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s118) | node4(s118) | (~until5(s118))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8864, 8863])).
% 4.77/3.54 tff(8866,plain,
% 4.77/3.54 (xuntil6(s118) | (~until5(s118))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8865, 155, 8859])).
% 4.77/3.54 tff(8867,plain,
% 4.77/3.54 (xuntil6(s118)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8866, 8855])).
% 4.77/3.54 tff(8868,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8869,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8870,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s118, s119)) | (~xuntil6(s118)) | until5(s119)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8869, 8868])).
% 4.77/3.54 tff(8871,plain,
% 4.77/3.54 ((~xuntil6(s118)) | until5(s119)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8870, 6433, 173])).
% 4.77/3.54 tff(8872,plain,
% 4.77/3.54 (until5(s119)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8871, 8867])).
% 4.77/3.54 tff(8873,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8874,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s119) | (~node4(s119)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8875,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s119) | (~node4(s119))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8874, 8873])).
% 4.77/3.54 tff(8876,plain,
% 4.77/3.54 (~node4(s119)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8875, 35, 6430])).
% 4.77/3.54 tff(8877,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s119) | node4(s119) | (~until5(s119)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8878,plain,
% 4.77/3.54 ((node4(s119) | (~until5(s119)) | xuntil6(s119)) <=> (xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8879,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s119) | node4(s119) | (~until5(s119))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8878])).
% 4.77/3.54 tff(8880,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8879, 8877])).
% 4.77/3.54 tff(8881,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s119) | (~until5(s119)) | xuntil6(s119))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8882,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s119) | node4(s119) | (~until5(s119))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 4.77/3.54 tff(8883,plain,
% 4.77/3.54 (xuntil6(s119) | (~until5(s119))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8882, 155, 8876])).
% 4.77/3.54 tff(8884,plain,
% 4.77/3.54 (xuntil6(s119)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8883, 8872])).
% 4.77/3.54 tff(8885,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8886,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8887,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s119, s120)) | (~xuntil6(s119)) | until5(s120)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8886, 8885])).
% 4.77/3.54 tff(8888,plain,
% 4.77/3.54 ((~xuntil6(s119)) | until5(s120)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8887, 6421, 173])).
% 4.77/3.54 tff(8889,plain,
% 4.77/3.54 (until5(s120)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8888, 8884])).
% 4.77/3.54 tff(8890,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8891,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s120) | (~node4(s120)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8892,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s120) | (~node4(s120))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8891, 8890])).
% 4.77/3.54 tff(8893,plain,
% 4.77/3.54 (~node4(s120)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8892, 35, 6418])).
% 4.77/3.54 tff(8894,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s120) | node4(s120) | (~until5(s120)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8895,plain,
% 4.77/3.54 ((node4(s120) | (~until5(s120)) | xuntil6(s120)) <=> (xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8896,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s120) | node4(s120) | (~until5(s120))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8895])).
% 4.77/3.54 tff(8897,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8896, 8894])).
% 4.77/3.54 tff(8898,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s120) | (~until5(s120)) | xuntil6(s120))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8899,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s120) | node4(s120) | (~until5(s120))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8898, 8897])).
% 4.77/3.54 tff(8900,plain,
% 4.77/3.54 (xuntil6(s120) | (~until5(s120))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8899, 155, 8893])).
% 4.77/3.54 tff(8901,plain,
% 4.77/3.54 (xuntil6(s120)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8900, 8889])).
% 4.77/3.54 tff(8902,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8903,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8904,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s120, s121)) | (~xuntil6(s120)) | until5(s121)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8903, 8902])).
% 4.77/3.54 tff(8905,plain,
% 4.77/3.54 ((~xuntil6(s120)) | until5(s121)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8904, 6409, 173])).
% 4.77/3.54 tff(8906,plain,
% 4.77/3.54 (until5(s121)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8905, 8901])).
% 4.77/3.54 tff(8907,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8908,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s121) | (~node4(s121)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8909,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s121) | (~node4(s121))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8908, 8907])).
% 4.77/3.54 tff(8910,plain,
% 4.77/3.54 (~node4(s121)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8909, 35, 6406])).
% 4.77/3.54 tff(8911,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s121) | node4(s121) | (~until5(s121)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8912,plain,
% 4.77/3.54 ((node4(s121) | (~until5(s121)) | xuntil6(s121)) <=> (xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8913,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s121) | (~until5(s121)) | xuntil6(s121))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s121) | node4(s121) | (~until5(s121))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8912])).
% 4.77/3.54 tff(8914,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s121) | (~until5(s121)) | xuntil6(s121))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8913, 8911])).
% 4.77/3.54 tff(8915,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s121) | (~until5(s121)) | xuntil6(s121))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8916,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s121) | node4(s121) | (~until5(s121))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8915, 8914])).
% 4.77/3.54 tff(8917,plain,
% 4.77/3.54 (xuntil6(s121) | (~until5(s121))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8916, 155, 8910])).
% 4.77/3.54 tff(8918,plain,
% 4.77/3.54 (xuntil6(s121)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8917, 8906])).
% 4.77/3.54 tff(8919,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8920,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8921,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s121, s122)) | (~xuntil6(s121)) | until5(s122)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8920, 8919])).
% 4.77/3.54 tff(8922,plain,
% 4.77/3.54 ((~xuntil6(s121)) | until5(s122)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8921, 6397, 173])).
% 4.77/3.54 tff(8923,plain,
% 4.77/3.54 (until5(s122)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8922, 8918])).
% 4.77/3.54 tff(8924,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8925,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s122) | (~node4(s122)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8926,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s122) | (~node4(s122))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8925, 8924])).
% 4.77/3.54 tff(8927,plain,
% 4.77/3.54 (~node4(s122)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8926, 35, 6394])).
% 4.77/3.54 tff(8928,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s122) | node4(s122) | (~until5(s122)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8929,plain,
% 4.77/3.54 ((node4(s122) | (~until5(s122)) | xuntil6(s122)) <=> (xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8930,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s122) | (~until5(s122)) | xuntil6(s122))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s122) | node4(s122) | (~until5(s122))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8929])).
% 4.77/3.54 tff(8931,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s122) | (~until5(s122)) | xuntil6(s122))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8930, 8928])).
% 4.77/3.54 tff(8932,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s122) | (~until5(s122)) | xuntil6(s122))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8933,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s122) | node4(s122) | (~until5(s122))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8932, 8931])).
% 4.77/3.54 tff(8934,plain,
% 4.77/3.54 (xuntil6(s122) | (~until5(s122))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8933, 155, 8927])).
% 4.77/3.54 tff(8935,plain,
% 4.77/3.54 (xuntil6(s122)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8934, 8923])).
% 4.77/3.54 tff(8936,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8937,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8938,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s122, s123)) | (~xuntil6(s122)) | until5(s123)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8937, 8936])).
% 4.77/3.54 tff(8939,plain,
% 4.77/3.54 ((~xuntil6(s122)) | until5(s123)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8938, 6385, 173])).
% 4.77/3.54 tff(8940,plain,
% 4.77/3.54 (until5(s123)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8939, 8935])).
% 4.77/3.54 tff(8941,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8942,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s123) | (~node4(s123)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8943,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s123) | (~node4(s123))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8942, 8941])).
% 4.77/3.54 tff(8944,plain,
% 4.77/3.54 (~node4(s123)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8943, 35, 6382])).
% 4.77/3.54 tff(8945,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s123) | node4(s123) | (~until5(s123)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8946,plain,
% 4.77/3.54 ((node4(s123) | (~until5(s123)) | xuntil6(s123)) <=> (xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8947,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s123) | node4(s123) | (~until5(s123))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8946])).
% 4.77/3.54 tff(8948,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123)))),
% 4.77/3.54 inference(transitivity,[status(thm)],[8947, 8945])).
% 4.77/3.54 tff(8949,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s123) | (~until5(s123)) | xuntil6(s123))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8950,plain,
% 4.77/3.54 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s123) | node4(s123) | (~until5(s123))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 4.77/3.54 tff(8951,plain,
% 4.77/3.54 (xuntil6(s123) | (~until5(s123))),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8950, 155, 8944])).
% 4.77/3.54 tff(8952,plain,
% 4.77/3.54 (xuntil6(s123)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8951, 8940])).
% 4.77/3.54 tff(8953,plain,
% 4.77/3.54 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8954,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8955,plain,
% 4.77/3.54 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s123, s124)) | (~xuntil6(s123)) | until5(s124)),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8954, 8953])).
% 4.77/3.54 tff(8956,plain,
% 4.77/3.54 ((~xuntil6(s123)) | until5(s124)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8955, 6373, 173])).
% 4.77/3.54 tff(8957,plain,
% 4.77/3.54 (until5(s124)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8956, 8952])).
% 4.77/3.54 tff(8958,plain,
% 4.77/3.54 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8959,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s124) | (~node4(s124)))),
% 4.77/3.54 inference(quant_inst,[status(thm)],[])).
% 4.77/3.54 tff(8960,plain,
% 4.77/3.54 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s124) | (~node4(s124))),
% 4.77/3.54 inference(modus_ponens,[status(thm)],[8959, 8958])).
% 4.77/3.54 tff(8961,plain,
% 4.77/3.54 (~node4(s124)),
% 4.77/3.54 inference(unit_resolution,[status(thm)],[8960, 35, 6370])).
% 4.77/3.54 tff(8962,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s124) | node4(s124) | (~until5(s124)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8963,plain,
% 4.77/3.54 ((node4(s124) | (~until5(s124)) | xuntil6(s124)) <=> (xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 4.77/3.54 inference(rewrite,[status(thm)],[])).
% 4.77/3.54 tff(8964,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s124) | node4(s124) | (~until5(s124))))),
% 4.77/3.54 inference(monotonicity,[status(thm)],[8963])).
% 4.77/3.54 tff(8965,plain,
% 4.77/3.54 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[8964, 8962])).
% 4.77/3.55 tff(8966,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s124) | (~until5(s124)) | xuntil6(s124))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(8967,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s124) | node4(s124) | (~until5(s124))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[8966, 8965])).
% 4.77/3.55 tff(8968,plain,
% 4.77/3.55 (xuntil6(s124) | (~until5(s124))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8967, 155, 8961])).
% 4.77/3.55 tff(8969,plain,
% 4.77/3.55 (xuntil6(s124)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8968, 8957])).
% 4.77/3.55 tff(8970,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(8971,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(8972,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s124, s125)) | (~xuntil6(s124)) | until5(s125)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[8971, 8970])).
% 4.77/3.55 tff(8973,plain,
% 4.77/3.55 ((~xuntil6(s124)) | until5(s125)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8972, 6361, 173])).
% 4.77/3.55 tff(8974,plain,
% 4.77/3.55 (until5(s125)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8973, 8969])).
% 4.77/3.55 tff(8975,plain,
% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(8976,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s125) | (~node4(s125)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(8977,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s125) | (~node4(s125))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[8976, 8975])).
% 4.77/3.55 tff(8978,plain,
% 4.77/3.55 (~node4(s125)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8977, 35, 6358])).
% 4.77/3.55 tff(8979,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s125) | node4(s125) | (~until5(s125)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(8980,plain,
% 4.77/3.55 ((node4(s125) | (~until5(s125)) | xuntil6(s125)) <=> (xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(8981,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s125) | node4(s125) | (~until5(s125))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[8980])).
% 4.77/3.55 tff(8982,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[8981, 8979])).
% 4.77/3.55 tff(8983,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s125) | (~until5(s125)) | xuntil6(s125))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(8984,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s125) | node4(s125) | (~until5(s125))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[8983, 8982])).
% 4.77/3.55 tff(8985,plain,
% 4.77/3.55 (xuntil6(s125) | (~until5(s125))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8984, 155, 8978])).
% 4.77/3.55 tff(8986,plain,
% 4.77/3.55 (xuntil6(s125)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8985, 8974])).
% 4.77/3.55 tff(8987,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(8988,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(8989,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s125, s126)) | (~xuntil6(s125)) | until5(s126)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[8988, 8987])).
% 4.77/3.55 tff(8990,plain,
% 4.77/3.55 ((~xuntil6(s125)) | until5(s126)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8989, 6349, 173])).
% 4.77/3.55 tff(8991,plain,
% 4.77/3.55 (until5(s126)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8990, 8986])).
% 4.77/3.55 tff(8992,plain,
% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(8993,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s126) | (~node4(s126)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(8994,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s126) | (~node4(s126))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[8993, 8992])).
% 4.77/3.55 tff(8995,plain,
% 4.77/3.55 (~node4(s126)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[8994, 35, 6346])).
% 4.77/3.55 tff(8996,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s126) | node4(s126) | (~until5(s126)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(8997,plain,
% 4.77/3.55 ((node4(s126) | (~until5(s126)) | xuntil6(s126)) <=> (xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(8998,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s126) | node4(s126) | (~until5(s126))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[8997])).
% 4.77/3.55 tff(8999,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[8998, 8996])).
% 4.77/3.55 tff(9000,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s126) | (~until5(s126)) | xuntil6(s126))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9001,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s126) | node4(s126) | (~until5(s126))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9000, 8999])).
% 4.77/3.55 tff(9002,plain,
% 4.77/3.55 (xuntil6(s126) | (~until5(s126))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9001, 155, 8995])).
% 4.77/3.55 tff(9003,plain,
% 4.77/3.55 (xuntil6(s126)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9002, 8991])).
% 4.77/3.55 tff(9004,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9005,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9006,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s126, s127)) | (~xuntil6(s126)) | until5(s127)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9005, 9004])).
% 4.77/3.55 tff(9007,plain,
% 4.77/3.55 ((~xuntil6(s126)) | until5(s127)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9006, 6337, 173])).
% 4.77/3.55 tff(9008,plain,
% 4.77/3.55 (until5(s127)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9007, 9003])).
% 4.77/3.55 tff(9009,plain,
% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9010,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s127) | (~node4(s127)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9011,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s127) | (~node4(s127))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9010, 9009])).
% 4.77/3.55 tff(9012,plain,
% 4.77/3.55 (~node4(s127)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9011, 35, 6334])).
% 4.77/3.55 tff(9013,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s127) | node4(s127) | (~until5(s127)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9014,plain,
% 4.77/3.55 ((node4(s127) | (~until5(s127)) | xuntil6(s127)) <=> (xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9015,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s127) | node4(s127) | (~until5(s127))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9014])).
% 4.77/3.55 tff(9016,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[9015, 9013])).
% 4.77/3.55 tff(9017,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s127) | (~until5(s127)) | xuntil6(s127))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9018,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s127) | node4(s127) | (~until5(s127))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9017, 9016])).
% 4.77/3.55 tff(9019,plain,
% 4.77/3.55 (xuntil6(s127) | (~until5(s127))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9018, 155, 9012])).
% 4.77/3.55 tff(9020,plain,
% 4.77/3.55 (xuntil6(s127)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9019, 9008])).
% 4.77/3.55 tff(9021,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9022,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9023,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s127, s128)) | (~xuntil6(s127)) | until5(s128)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9022, 9021])).
% 4.77/3.55 tff(9024,plain,
% 4.77/3.55 ((~xuntil6(s127)) | until5(s128)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9023, 6325, 173])).
% 4.77/3.55 tff(9025,plain,
% 4.77/3.55 (until5(s128)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9024, 9020])).
% 4.77/3.55 tff(9026,plain,
% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9027,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s128) | (~node4(s128)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9028,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s128) | (~node4(s128))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9027, 9026])).
% 4.77/3.55 tff(9029,plain,
% 4.77/3.55 (~node4(s128)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9028, 35, 6322])).
% 4.77/3.55 tff(9030,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s128) | node4(s128) | (~until5(s128)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9031,plain,
% 4.77/3.55 ((node4(s128) | (~until5(s128)) | xuntil6(s128)) <=> (xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9032,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s128) | node4(s128) | (~until5(s128))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9031])).
% 4.77/3.55 tff(9033,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[9032, 9030])).
% 4.77/3.55 tff(9034,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s128) | (~until5(s128)) | xuntil6(s128))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9035,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s128) | node4(s128) | (~until5(s128))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9034, 9033])).
% 4.77/3.55 tff(9036,plain,
% 4.77/3.55 (xuntil6(s128) | (~until5(s128))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9035, 155, 9029])).
% 4.77/3.55 tff(9037,plain,
% 4.77/3.55 (xuntil6(s128)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9036, 9025])).
% 4.77/3.55 tff(9038,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9039,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9040,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s128, s129)) | (~xuntil6(s128)) | until5(s129)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9039, 9038])).
% 4.77/3.55 tff(9041,plain,
% 4.77/3.55 ((~xuntil6(s128)) | until5(s129)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9040, 6313, 173])).
% 4.77/3.55 tff(9042,plain,
% 4.77/3.55 (until5(s129)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9041, 9037])).
% 4.77/3.55 tff(9043,plain,
% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9044,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s129) | (~node4(s129)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9045,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s129) | (~node4(s129))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9044, 9043])).
% 4.77/3.55 tff(9046,plain,
% 4.77/3.55 (~node4(s129)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9045, 35, 6310])).
% 4.77/3.55 tff(9047,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s129) | node4(s129) | (~until5(s129)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9048,plain,
% 4.77/3.55 ((node4(s129) | (~until5(s129)) | xuntil6(s129)) <=> (xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9049,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s129) | node4(s129) | (~until5(s129))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9048])).
% 4.77/3.55 tff(9050,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[9049, 9047])).
% 4.77/3.55 tff(9051,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s129) | (~until5(s129)) | xuntil6(s129))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9052,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s129) | node4(s129) | (~until5(s129))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9051, 9050])).
% 4.77/3.55 tff(9053,plain,
% 4.77/3.55 (xuntil6(s129) | (~until5(s129))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9052, 155, 9046])).
% 4.77/3.55 tff(9054,plain,
% 4.77/3.55 (xuntil6(s129)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9053, 9042])).
% 4.77/3.55 tff(9055,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9056,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9057,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s129, s130)) | (~xuntil6(s129)) | until5(s130)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 4.77/3.55 tff(9058,plain,
% 4.77/3.55 ((~xuntil6(s129)) | until5(s130)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9057, 6301, 173])).
% 4.77/3.55 tff(9059,plain,
% 4.77/3.55 (until5(s130)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9058, 9054])).
% 4.77/3.55 tff(9060,plain,
% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9061,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s130) | (~node4(s130)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9062,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s130) | (~node4(s130))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9061, 9060])).
% 4.77/3.55 tff(9063,plain,
% 4.77/3.55 (~node4(s130)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9062, 35, 6298])).
% 4.77/3.55 tff(9064,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s130) | node4(s130) | (~until5(s130)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9065,plain,
% 4.77/3.55 ((node4(s130) | (~until5(s130)) | xuntil6(s130)) <=> (xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9066,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s130) | node4(s130) | (~until5(s130))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9065])).
% 4.77/3.55 tff(9067,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[9066, 9064])).
% 4.77/3.55 tff(9068,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s130) | (~until5(s130)) | xuntil6(s130))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9069,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s130) | node4(s130) | (~until5(s130))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9068, 9067])).
% 4.77/3.55 tff(9070,plain,
% 4.77/3.55 (xuntil6(s130) | (~until5(s130))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9069, 155, 9063])).
% 4.77/3.55 tff(9071,plain,
% 4.77/3.55 (xuntil6(s130)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9070, 9059])).
% 4.77/3.55 tff(9072,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9073,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9074,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s130, s131)) | (~xuntil6(s130)) | until5(s131)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9073, 9072])).
% 4.77/3.55 tff(9075,plain,
% 4.77/3.55 ((~xuntil6(s130)) | until5(s131)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9074, 6289, 173])).
% 4.77/3.55 tff(9076,plain,
% 4.77/3.55 (until5(s131)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9075, 9071])).
% 4.77/3.55 tff(9077,plain,
% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9078,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s131) | (~node4(s131)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9079,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s131) | (~node4(s131))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9078, 9077])).
% 4.77/3.55 tff(9080,plain,
% 4.77/3.55 (~node4(s131)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9079, 35, 6286])).
% 4.77/3.55 tff(9081,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s131) | node4(s131) | (~until5(s131)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9082,plain,
% 4.77/3.55 ((node4(s131) | (~until5(s131)) | xuntil6(s131)) <=> (xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9083,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s131) | node4(s131) | (~until5(s131))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9082])).
% 4.77/3.55 tff(9084,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[9083, 9081])).
% 4.77/3.55 tff(9085,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s131) | (~until5(s131)) | xuntil6(s131))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9086,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s131) | node4(s131) | (~until5(s131))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9085, 9084])).
% 4.77/3.55 tff(9087,plain,
% 4.77/3.55 (xuntil6(s131) | (~until5(s131))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9086, 155, 9080])).
% 4.77/3.55 tff(9088,plain,
% 4.77/3.55 (xuntil6(s131)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9087, 9076])).
% 4.77/3.55 tff(9089,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9090,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9091,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s131, s132)) | (~xuntil6(s131)) | until5(s132)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9090, 9089])).
% 4.77/3.55 tff(9092,plain,
% 4.77/3.55 ((~xuntil6(s131)) | until5(s132)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9091, 6277, 173])).
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% 4.77/3.55 (until5(s132)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9092, 9088])).
% 4.77/3.55 tff(9094,plain,
% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9095,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s132) | (~node4(s132)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9096,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s132) | (~node4(s132))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9095, 9094])).
% 4.77/3.55 tff(9097,plain,
% 4.77/3.55 (~node4(s132)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9096, 35, 6274])).
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% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s132) | node4(s132) | (~until5(s132)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9099,plain,
% 4.77/3.55 ((node4(s132) | (~until5(s132)) | xuntil6(s132)) <=> (xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9100,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s132) | (~until5(s132)) | xuntil6(s132))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s132) | node4(s132) | (~until5(s132))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9099])).
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% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s132) | (~until5(s132)) | xuntil6(s132))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[9100, 9098])).
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% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9103,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s132) | node4(s132) | (~until5(s132))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9102, 9101])).
% 4.77/3.55 tff(9104,plain,
% 4.77/3.55 (xuntil6(s132) | (~until5(s132))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9103, 155, 9097])).
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% 4.77/3.55 (xuntil6(s132)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9104, 9093])).
% 4.77/3.55 tff(9106,plain,
% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9107,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9108,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s132, s133)) | (~xuntil6(s132)) | until5(s133)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9107, 9106])).
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% 4.77/3.55 ((~xuntil6(s132)) | until5(s133)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9108, 6265, 173])).
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% 4.77/3.55 (until5(s133)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9109, 9105])).
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% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9112,plain,
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% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9113,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s133) | (~node4(s133))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9112, 9111])).
% 4.77/3.55 tff(9114,plain,
% 4.77/3.55 (~node4(s133)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9113, 35, 6262])).
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% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s133) | node4(s133) | (~until5(s133)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9116,plain,
% 4.77/3.55 ((node4(s133) | (~until5(s133)) | xuntil6(s133)) <=> (xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9117,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s133) | (~until5(s133)) | xuntil6(s133))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s133) | node4(s133) | (~until5(s133))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9116])).
% 4.77/3.55 tff(9118,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s133) | (~until5(s133)) | xuntil6(s133))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[9117, 9115])).
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% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9120,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s133) | node4(s133) | (~until5(s133))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9119, 9118])).
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% 4.77/3.55 (xuntil6(s133) | (~until5(s133))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9120, 155, 9114])).
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% 4.77/3.55 (xuntil6(s133)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9121, 9110])).
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% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9124,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9125,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s133, s134)) | (~xuntil6(s133)) | until5(s134)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9124, 9123])).
% 4.77/3.55 tff(9126,plain,
% 4.77/3.55 ((~xuntil6(s133)) | until5(s134)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9125, 6253, 173])).
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% 4.77/3.55 (until5(s134)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9126, 9122])).
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% 4.77/3.55 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s134) | (~node4(s134)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
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% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9130,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s134) | (~node4(s134))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9129, 9128])).
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% 4.77/3.55 (~node4(s134)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9130, 35, 6250])).
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% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9133,plain,
% 4.77/3.55 ((node4(s134) | (~until5(s134)) | xuntil6(s134)) <=> (xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9134,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s134) | (~until5(s134)) | xuntil6(s134))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s134) | node4(s134) | (~until5(s134))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9133])).
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% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s134) | (~until5(s134)) | xuntil6(s134))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134)))),
% 4.77/3.55 inference(transitivity,[status(thm)],[9134, 9132])).
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% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9137,plain,
% 4.77/3.55 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s134) | node4(s134) | (~until5(s134))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9136, 9135])).
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% 4.77/3.55 (xuntil6(s134) | (~until5(s134))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9137, 155, 9131])).
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% 4.77/3.55 (xuntil6(s134)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9138, 9127])).
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% 4.77/3.55 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9141,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9142,plain,
% 4.77/3.55 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s134, s135)) | (~xuntil6(s134)) | until5(s135)),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9141, 9140])).
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% 4.77/3.55 ((~xuntil6(s134)) | until5(s135)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9142, 6241, 173])).
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% 4.77/3.55 (until5(s135)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9143, 9139])).
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% 4.77/3.55 inference(rewrite,[status(thm)],[])).
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% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s135) | (~node4(s135)))),
% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
% 4.77/3.55 tff(9147,plain,
% 4.77/3.55 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s135) | (~node4(s135))),
% 4.77/3.55 inference(modus_ponens,[status(thm)],[9146, 9145])).
% 4.77/3.55 tff(9148,plain,
% 4.77/3.55 (~node4(s135)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9147, 35, 6238])).
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% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s135) | node4(s135) | (~until5(s135)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s135) | node4(s135) | (~until5(s135)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
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% 4.77/3.55 ((node4(s135) | (~until5(s135)) | xuntil6(s135)) <=> (xuntil6(s135) | node4(s135) | (~until5(s135)))),
% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9151,plain,
% 4.77/3.55 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s135) | (~until5(s135)) | xuntil6(s135))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s135) | node4(s135) | (~until5(s135))))),
% 4.77/3.55 inference(monotonicity,[status(thm)],[9150])).
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% 4.77/3.55 inference(transitivity,[status(thm)],[9151, 9149])).
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% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.55 inference(modus_ponens,[status(thm)],[9153, 9152])).
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% 4.77/3.55 (xuntil6(s135) | (~until5(s135))),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9154, 155, 9148])).
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% 4.77/3.55 (xuntil6(s135)),
% 4.77/3.55 inference(unit_resolution,[status(thm)],[9155, 9144])).
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% 4.77/3.55 inference(rewrite,[status(thm)],[])).
% 4.77/3.55 tff(9158,plain,
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% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.55 inference(modus_ponens,[status(thm)],[9158, 9157])).
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% 4.77/3.55 inference(unit_resolution,[status(thm)],[9159, 6229, 173])).
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% 4.77/3.55 inference(unit_resolution,[status(thm)],[9160, 9156])).
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% 4.77/3.55 inference(rewrite,[status(thm)],[])).
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% 4.77/3.55 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.55 inference(modus_ponens,[status(thm)],[9163, 9162])).
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% 4.77/3.55 inference(unit_resolution,[status(thm)],[9164, 35, 6226])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(monotonicity,[status(thm)],[9167])).
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% 4.77/3.56 inference(transitivity,[status(thm)],[9168, 9166])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9170, 9169])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9171, 155, 9165])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9172, 9161])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9175, 9174])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9176, 6217, 173])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9177, 9173])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9180, 9179])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9181, 35, 6214])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(monotonicity,[status(thm)],[9184])).
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% 4.77/3.56 inference(transitivity,[status(thm)],[9185, 9183])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9187, 9186])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9188, 155, 9182])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9189, 9178])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9192, 9191])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9193, 6205, 173])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9194, 9190])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9198, 35, 6202])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(monotonicity,[status(thm)],[9201])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9209, 9208])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(monotonicity,[status(thm)],[9218])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9232, 35, 6178])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(transitivity,[status(thm)],[9236, 9234])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9238, 9237])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9239, 155, 9233])).
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% 4.77/3.56 inference(unit_resolution,[status(thm)],[9240, 9229])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9243, 9242])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(monotonicity,[status(thm)],[9252])).
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% 4.77/3.56 inference(transitivity,[status(thm)],[9253, 9251])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9255, 9254])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9260, 9259])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(monotonicity,[status(thm)],[9303])).
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% 4.77/3.56 inference(rewrite,[status(thm)],[])).
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% 4.77/3.56 inference(modus_ponens,[status(thm)],[9328, 9327])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9374, 9373])).
% 4.77/3.57 tff(9376,plain,
% 4.77/3.57 (xuntil6(s148) | (~until5(s148))),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9375, 155, 9369])).
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% 4.77/3.57 (xuntil6(s148)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9376, 9365])).
% 4.77/3.57 tff(9378,plain,
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9379,plain,
% 4.77/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s148, s149)) | (~xuntil6(s148)) | until5(s149))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9380,plain,
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9379, 9378])).
% 4.77/3.57 tff(9381,plain,
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9380, 6073, 173])).
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% 4.77/3.57 (until5(s149)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9381, 9377])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9384, 9383])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9385, 35, 6070])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9388,plain,
% 4.77/3.57 ((node4(s149) | (~until5(s149)) | xuntil6(s149)) <=> (xuntil6(s149) | node4(s149) | (~until5(s149)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9389,plain,
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% 4.77/3.57 inference(monotonicity,[status(thm)],[9388])).
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% 4.77/3.57 inference(transitivity,[status(thm)],[9389, 9387])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9392,plain,
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9391, 9390])).
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% 4.77/3.57 (xuntil6(s149) | (~until5(s149))),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9392, 155, 9386])).
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% 4.77/3.57 (xuntil6(s149)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9393, 9382])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9396, 9395])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9397, 6061, 173])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9398, 9394])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9401, 9400])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9402, 35, 6058])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 ((node4(s150) | (~until5(s150)) | xuntil6(s150)) <=> (xuntil6(s150) | node4(s150) | (~until5(s150)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9406,plain,
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% 4.77/3.57 inference(monotonicity,[status(thm)],[9405])).
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% 4.77/3.57 inference(transitivity,[status(thm)],[9406, 9404])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9408, 9407])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9409, 155, 9403])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9410, 9399])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9413, 9412])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9414, 6049, 173])).
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% 4.77/3.57 (until5(s151)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9415, 9411])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9418, 9417])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9419, 35, 6046])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 ((node4(s151) | (~until5(s151)) | xuntil6(s151)) <=> (xuntil6(s151) | node4(s151) | (~until5(s151)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(monotonicity,[status(thm)],[9422])).
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% 4.77/3.57 inference(transitivity,[status(thm)],[9423, 9421])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9427, 9416])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(transitivity,[status(thm)],[9440, 9438])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9442, 9441])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9444, 9433])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9447, 9446])).
% 4.77/3.57 tff(9449,plain,
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9448, 6025, 173])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9449, 9445])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9452, 9451])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9453, 35, 6022])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9457,plain,
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% 4.77/3.57 inference(monotonicity,[status(thm)],[9456])).
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% 4.77/3.57 inference(transitivity,[status(thm)],[9457, 9455])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9459, 9458])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9460, 155, 9454])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9461, 9450])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9464, 9463])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9465, 6013, 173])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9466, 9462])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9469, 9468])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9470, 35, 6010])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(monotonicity,[status(thm)],[9473])).
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% 4.77/3.57 inference(transitivity,[status(thm)],[9474, 9472])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9477,plain,
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9476, 9475])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9477, 155, 9471])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9478, 9467])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9481, 9480])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9482, 6001, 173])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9483, 9479])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(modus_ponens,[status(thm)],[9486, 9485])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9487, 35, 5998])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(monotonicity,[status(thm)],[9490])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9495, 9484])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9500, 9496])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(unit_resolution,[status(thm)],[9511, 155, 9505])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
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% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9520,plain,
% 4.77/3.57 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s157) | (~node4(s157)))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9521,plain,
% 4.77/3.57 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s157) | (~node4(s157))),
% 4.77/3.57 inference(modus_ponens,[status(thm)],[9520, 9519])).
% 4.77/3.57 tff(9522,plain,
% 4.77/3.57 (~node4(s157)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9521, 35, 5974])).
% 4.77/3.57 tff(9523,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s157) | node4(s157) | (~until5(s157)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9524,plain,
% 4.77/3.57 ((node4(s157) | (~until5(s157)) | xuntil6(s157)) <=> (xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9525,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s157) | node4(s157) | (~until5(s157))))),
% 4.77/3.57 inference(monotonicity,[status(thm)],[9524])).
% 4.77/3.57 tff(9526,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157)))),
% 4.77/3.57 inference(transitivity,[status(thm)],[9525, 9523])).
% 4.77/3.57 tff(9527,plain,
% 4.77/3.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s157) | (~until5(s157)) | xuntil6(s157))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9528,plain,
% 4.77/3.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s157) | node4(s157) | (~until5(s157))),
% 4.77/3.57 inference(modus_ponens,[status(thm)],[9527, 9526])).
% 4.77/3.57 tff(9529,plain,
% 4.77/3.57 (xuntil6(s157) | (~until5(s157))),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9528, 155, 9522])).
% 4.77/3.57 tff(9530,plain,
% 4.77/3.57 (xuntil6(s157)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9529, 9518])).
% 4.77/3.57 tff(9531,plain,
% 4.77/3.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9532,plain,
% 4.77/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9533,plain,
% 4.77/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s157, s158)) | (~xuntil6(s157)) | until5(s158)),
% 4.77/3.57 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 4.77/3.57 tff(9534,plain,
% 4.77/3.57 ((~xuntil6(s157)) | until5(s158)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9533, 5965, 173])).
% 4.77/3.57 tff(9535,plain,
% 4.77/3.57 (until5(s158)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9534, 9530])).
% 4.77/3.57 tff(9536,plain,
% 4.77/3.57 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9537,plain,
% 4.77/3.57 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s158) | (~node4(s158)))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9538,plain,
% 4.77/3.57 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s158) | (~node4(s158))),
% 4.77/3.57 inference(modus_ponens,[status(thm)],[9537, 9536])).
% 4.77/3.57 tff(9539,plain,
% 4.77/3.57 (~node4(s158)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9538, 35, 5962])).
% 4.77/3.57 tff(9540,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s158) | node4(s158) | (~until5(s158)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9541,plain,
% 4.77/3.57 ((node4(s158) | (~until5(s158)) | xuntil6(s158)) <=> (xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9542,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s158) | (~until5(s158)) | xuntil6(s158))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s158) | node4(s158) | (~until5(s158))))),
% 4.77/3.57 inference(monotonicity,[status(thm)],[9541])).
% 4.77/3.57 tff(9543,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s158) | (~until5(s158)) | xuntil6(s158))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158)))),
% 4.77/3.57 inference(transitivity,[status(thm)],[9542, 9540])).
% 4.77/3.57 tff(9544,plain,
% 4.77/3.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s158) | (~until5(s158)) | xuntil6(s158))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9545,plain,
% 4.77/3.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s158) | node4(s158) | (~until5(s158))),
% 4.77/3.57 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 4.77/3.57 tff(9546,plain,
% 4.77/3.57 (xuntil6(s158) | (~until5(s158))),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9545, 155, 9539])).
% 4.77/3.57 tff(9547,plain,
% 4.77/3.57 (xuntil6(s158)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9546, 9535])).
% 4.77/3.57 tff(9548,plain,
% 4.77/3.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9549,plain,
% 4.77/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9550,plain,
% 4.77/3.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s158, s159)) | (~xuntil6(s158)) | until5(s159)),
% 4.77/3.57 inference(modus_ponens,[status(thm)],[9549, 9548])).
% 4.77/3.57 tff(9551,plain,
% 4.77/3.57 ((~xuntil6(s158)) | until5(s159)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9550, 5953, 173])).
% 4.77/3.57 tff(9552,plain,
% 4.77/3.57 (until5(s159)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9551, 9547])).
% 4.77/3.57 tff(9553,plain,
% 4.77/3.57 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9554,plain,
% 4.77/3.57 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s159) | (~node4(s159)))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9555,plain,
% 4.77/3.57 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s159) | (~node4(s159))),
% 4.77/3.57 inference(modus_ponens,[status(thm)],[9554, 9553])).
% 4.77/3.57 tff(9556,plain,
% 4.77/3.57 (~node4(s159)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9555, 35, 5950])).
% 4.77/3.57 tff(9557,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s159) | node4(s159) | (~until5(s159)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9558,plain,
% 4.77/3.57 ((node4(s159) | (~until5(s159)) | xuntil6(s159)) <=> (xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 4.77/3.57 inference(rewrite,[status(thm)],[])).
% 4.77/3.57 tff(9559,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s159) | (~until5(s159)) | xuntil6(s159))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s159) | node4(s159) | (~until5(s159))))),
% 4.77/3.57 inference(monotonicity,[status(thm)],[9558])).
% 4.77/3.57 tff(9560,plain,
% 4.77/3.57 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s159) | (~until5(s159)) | xuntil6(s159))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s159) | node4(s159) | (~until5(s159)))),
% 4.77/3.57 inference(transitivity,[status(thm)],[9559, 9557])).
% 4.77/3.57 tff(9561,plain,
% 4.77/3.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s159) | (~until5(s159)) | xuntil6(s159))),
% 4.77/3.57 inference(quant_inst,[status(thm)],[])).
% 4.77/3.57 tff(9562,plain,
% 4.77/3.57 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s159) | node4(s159) | (~until5(s159))),
% 4.77/3.57 inference(modus_ponens,[status(thm)],[9561, 9560])).
% 4.77/3.57 tff(9563,plain,
% 4.77/3.57 (xuntil6(s159) | (~until5(s159))),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9562, 155, 9556])).
% 4.77/3.57 tff(9564,plain,
% 4.77/3.57 (xuntil6(s159)),
% 4.77/3.57 inference(unit_resolution,[status(thm)],[9563, 9552])).
% 4.77/3.58 tff(9565,plain,
% 4.77/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9566,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9567,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s159, s160)) | (~xuntil6(s159)) | until5(s160)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9566, 9565])).
% 4.77/3.58 tff(9568,plain,
% 4.77/3.58 ((~xuntil6(s159)) | until5(s160)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9567, 5941, 173])).
% 4.77/3.58 tff(9569,plain,
% 4.77/3.58 (until5(s160)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9568, 9564])).
% 4.77/3.58 tff(9570,plain,
% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9571,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s160) | (~node4(s160)))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9572,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s160) | (~node4(s160))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9571, 9570])).
% 4.77/3.58 tff(9573,plain,
% 4.77/3.58 (~node4(s160)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9572, 35, 5938])).
% 4.77/3.58 tff(9574,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s160) | node4(s160) | (~until5(s160)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9575,plain,
% 4.77/3.58 ((node4(s160) | (~until5(s160)) | xuntil6(s160)) <=> (xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9576,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s160) | node4(s160) | (~until5(s160))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9575])).
% 4.77/3.58 tff(9577,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160)))),
% 4.77/3.58 inference(transitivity,[status(thm)],[9576, 9574])).
% 4.77/3.58 tff(9578,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s160) | (~until5(s160)) | xuntil6(s160))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9579,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s160) | node4(s160) | (~until5(s160))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9578, 9577])).
% 4.77/3.58 tff(9580,plain,
% 4.77/3.58 (xuntil6(s160) | (~until5(s160))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9579, 155, 9573])).
% 4.77/3.58 tff(9581,plain,
% 4.77/3.58 (xuntil6(s160)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9580, 9569])).
% 4.77/3.58 tff(9582,plain,
% 4.77/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9583,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9584,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s160, s161)) | (~xuntil6(s160)) | until5(s161)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9583, 9582])).
% 4.77/3.58 tff(9585,plain,
% 4.77/3.58 ((~xuntil6(s160)) | until5(s161)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9584, 5929, 173])).
% 4.77/3.58 tff(9586,plain,
% 4.77/3.58 (until5(s161)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9585, 9581])).
% 4.77/3.58 tff(9587,plain,
% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9588,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s161) | (~node4(s161)))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9589,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s161) | (~node4(s161))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9588, 9587])).
% 4.77/3.58 tff(9590,plain,
% 4.77/3.58 (~node4(s161)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9589, 35, 5926])).
% 4.77/3.58 tff(9591,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s161) | node4(s161) | (~until5(s161)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9592,plain,
% 4.77/3.58 ((node4(s161) | (~until5(s161)) | xuntil6(s161)) <=> (xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9593,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s161) | node4(s161) | (~until5(s161))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9592])).
% 4.77/3.58 tff(9594,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161)))),
% 4.77/3.58 inference(transitivity,[status(thm)],[9593, 9591])).
% 4.77/3.58 tff(9595,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s161) | (~until5(s161)) | xuntil6(s161))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9596,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s161) | node4(s161) | (~until5(s161))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 4.77/3.58 tff(9597,plain,
% 4.77/3.58 (xuntil6(s161) | (~until5(s161))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9596, 155, 9590])).
% 4.77/3.58 tff(9598,plain,
% 4.77/3.58 (xuntil6(s161)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9597, 9586])).
% 4.77/3.58 tff(9599,plain,
% 4.77/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9600,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9601,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s161, s162)) | (~xuntil6(s161)) | until5(s162)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9600, 9599])).
% 4.77/3.58 tff(9602,plain,
% 4.77/3.58 ((~xuntil6(s161)) | until5(s162)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9601, 5917, 173])).
% 4.77/3.58 tff(9603,plain,
% 4.77/3.58 (until5(s162)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9602, 9598])).
% 4.77/3.58 tff(9604,plain,
% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9605,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s162) | (~node4(s162)))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9606,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s162) | (~node4(s162))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9605, 9604])).
% 4.77/3.58 tff(9607,plain,
% 4.77/3.58 (~node4(s162)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9606, 35, 5914])).
% 4.77/3.58 tff(9608,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s162) | node4(s162) | (~until5(s162)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9609,plain,
% 4.77/3.58 ((node4(s162) | (~until5(s162)) | xuntil6(s162)) <=> (xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9610,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s162) | node4(s162) | (~until5(s162))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9609])).
% 4.77/3.58 tff(9611,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162)))),
% 4.77/3.58 inference(transitivity,[status(thm)],[9610, 9608])).
% 4.77/3.58 tff(9612,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s162) | (~until5(s162)) | xuntil6(s162))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9613,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s162) | node4(s162) | (~until5(s162))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9612, 9611])).
% 4.77/3.58 tff(9614,plain,
% 4.77/3.58 (xuntil6(s162) | (~until5(s162))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9613, 155, 9607])).
% 4.77/3.58 tff(9615,plain,
% 4.77/3.58 (xuntil6(s162)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9614, 9603])).
% 4.77/3.58 tff(9616,plain,
% 4.77/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9617,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9618,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s162, s163)) | (~xuntil6(s162)) | until5(s163)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9617, 9616])).
% 4.77/3.58 tff(9619,plain,
% 4.77/3.58 ((~xuntil6(s162)) | until5(s163)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9618, 5905, 173])).
% 4.77/3.58 tff(9620,plain,
% 4.77/3.58 (until5(s163)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9619, 9615])).
% 4.77/3.58 tff(9621,plain,
% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9622,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s163) | (~node4(s163)))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9623,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s163) | (~node4(s163))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9622, 9621])).
% 4.77/3.58 tff(9624,plain,
% 4.77/3.58 (~node4(s163)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9623, 35, 5902])).
% 4.77/3.58 tff(9625,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s163) | node4(s163) | (~until5(s163)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9626,plain,
% 4.77/3.58 ((node4(s163) | (~until5(s163)) | xuntil6(s163)) <=> (xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9627,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s163) | node4(s163) | (~until5(s163))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9626])).
% 4.77/3.58 tff(9628,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163)))),
% 4.77/3.58 inference(transitivity,[status(thm)],[9627, 9625])).
% 4.77/3.58 tff(9629,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s163) | (~until5(s163)) | xuntil6(s163))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9630,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s163) | node4(s163) | (~until5(s163))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9629, 9628])).
% 4.77/3.58 tff(9631,plain,
% 4.77/3.58 (xuntil6(s163) | (~until5(s163))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9630, 155, 9624])).
% 4.77/3.58 tff(9632,plain,
% 4.77/3.58 (xuntil6(s163)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9631, 9620])).
% 4.77/3.58 tff(9633,plain,
% 4.77/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9634,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9635,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s163, s164)) | (~xuntil6(s163)) | until5(s164)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9634, 9633])).
% 4.77/3.58 tff(9636,plain,
% 4.77/3.58 ((~xuntil6(s163)) | until5(s164)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9635, 5893, 173])).
% 4.77/3.58 tff(9637,plain,
% 4.77/3.58 (until5(s164)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9636, 9632])).
% 4.77/3.58 tff(9638,plain,
% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9639,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s164) | (~node4(s164)))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9640,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s164) | (~node4(s164))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 4.77/3.58 tff(9641,plain,
% 4.77/3.58 (~node4(s164)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9640, 35, 5890])).
% 4.77/3.58 tff(9642,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s164) | node4(s164) | (~until5(s164)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9643,plain,
% 4.77/3.58 ((node4(s164) | (~until5(s164)) | xuntil6(s164)) <=> (xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9644,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s164) | node4(s164) | (~until5(s164))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9643])).
% 4.77/3.58 tff(9645,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164)))),
% 4.77/3.58 inference(transitivity,[status(thm)],[9644, 9642])).
% 4.77/3.58 tff(9646,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s164) | (~until5(s164)) | xuntil6(s164))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9647,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s164) | node4(s164) | (~until5(s164))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9646, 9645])).
% 4.77/3.58 tff(9648,plain,
% 4.77/3.58 (xuntil6(s164) | (~until5(s164))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9647, 155, 9641])).
% 4.77/3.58 tff(9649,plain,
% 4.77/3.58 (xuntil6(s164)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9648, 9637])).
% 4.77/3.58 tff(9650,plain,
% 4.77/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9651,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9652,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s164, s165)) | (~xuntil6(s164)) | until5(s165)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9651, 9650])).
% 4.77/3.58 tff(9653,plain,
% 4.77/3.58 ((~xuntil6(s164)) | until5(s165)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9652, 5881, 173])).
% 4.77/3.58 tff(9654,plain,
% 4.77/3.58 (until5(s165)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9653, 9649])).
% 4.77/3.58 tff(9655,plain,
% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9656,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s165) | (~node4(s165)))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9657,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s165) | (~node4(s165))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 4.77/3.58 tff(9658,plain,
% 4.77/3.58 (~node4(s165)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9657, 35, 5878])).
% 4.77/3.58 tff(9659,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s165) | node4(s165) | (~until5(s165)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9660,plain,
% 4.77/3.58 ((node4(s165) | (~until5(s165)) | xuntil6(s165)) <=> (xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9661,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s165) | node4(s165) | (~until5(s165))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9660])).
% 4.77/3.58 tff(9662,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s165) | node4(s165) | (~until5(s165)))),
% 4.77/3.58 inference(transitivity,[status(thm)],[9661, 9659])).
% 4.77/3.58 tff(9663,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s165) | (~until5(s165)) | xuntil6(s165))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9664,plain,
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% 4.77/3.58 inference(modus_ponens,[status(thm)],[9663, 9662])).
% 4.77/3.58 tff(9665,plain,
% 4.77/3.58 (xuntil6(s165) | (~until5(s165))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9664, 155, 9658])).
% 4.77/3.58 tff(9666,plain,
% 4.77/3.58 (xuntil6(s165)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9665, 9654])).
% 4.77/3.58 tff(9667,plain,
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9668,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9669,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s165, s166)) | (~xuntil6(s165)) | until5(s166)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 4.77/3.58 tff(9670,plain,
% 4.77/3.58 ((~xuntil6(s165)) | until5(s166)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9669, 5869, 173])).
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% 4.77/3.58 (until5(s166)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9670, 9666])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9673,plain,
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9674,plain,
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% 4.77/3.58 inference(modus_ponens,[status(thm)],[9673, 9672])).
% 4.77/3.58 tff(9675,plain,
% 4.77/3.58 (~node4(s166)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9674, 35, 5866])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9677,plain,
% 4.77/3.58 ((node4(s166) | (~until5(s166)) | xuntil6(s166)) <=> (xuntil6(s166) | node4(s166) | (~until5(s166)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9678,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s166) | (~until5(s166)) | xuntil6(s166))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s166) | node4(s166) | (~until5(s166))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9677])).
% 4.77/3.58 tff(9679,plain,
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% 4.77/3.58 inference(transitivity,[status(thm)],[9678, 9676])).
% 4.77/3.58 tff(9680,plain,
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9681,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s166) | node4(s166) | (~until5(s166))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 4.77/3.58 tff(9682,plain,
% 4.77/3.58 (xuntil6(s166) | (~until5(s166))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9681, 155, 9675])).
% 4.77/3.58 tff(9683,plain,
% 4.77/3.58 (xuntil6(s166)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9682, 9671])).
% 4.77/3.58 tff(9684,plain,
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9685,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9686,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s166, s167)) | (~xuntil6(s166)) | until5(s167)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9685, 9684])).
% 4.77/3.58 tff(9687,plain,
% 4.77/3.58 ((~xuntil6(s166)) | until5(s167)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9686, 5857, 173])).
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% 4.77/3.58 (until5(s167)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9687, 9683])).
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% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s167) | (~node4(s167)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9690,plain,
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9691,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s167) | (~node4(s167))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9690, 9689])).
% 4.77/3.58 tff(9692,plain,
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% 4.77/3.58 inference(unit_resolution,[status(thm)],[9691, 35, 5854])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 ((node4(s167) | (~until5(s167)) | xuntil6(s167)) <=> (xuntil6(s167) | node4(s167) | (~until5(s167)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9695,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s167) | (~until5(s167)) | xuntil6(s167))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s167) | node4(s167) | (~until5(s167))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9694])).
% 4.77/3.58 tff(9696,plain,
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% 4.77/3.58 inference(transitivity,[status(thm)],[9695, 9693])).
% 4.77/3.58 tff(9697,plain,
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9698,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s167) | node4(s167) | (~until5(s167))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9697, 9696])).
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% 4.77/3.58 (xuntil6(s167) | (~until5(s167))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9698, 155, 9692])).
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% 4.77/3.58 (xuntil6(s167)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9699, 9688])).
% 4.77/3.58 tff(9701,plain,
% 4.77/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9702,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9703,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s167, s168)) | (~xuntil6(s167)) | until5(s168)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9702, 9701])).
% 4.77/3.58 tff(9704,plain,
% 4.77/3.58 ((~xuntil6(s167)) | until5(s168)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9703, 5845, 173])).
% 4.77/3.58 tff(9705,plain,
% 4.77/3.58 (until5(s168)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9704, 9700])).
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% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s168) | (~node4(s168)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9708,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s168) | (~node4(s168))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9707, 9706])).
% 4.77/3.58 tff(9709,plain,
% 4.77/3.58 (~node4(s168)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9708, 35, 5842])).
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% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s168) | node4(s168) | (~until5(s168)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s168) | node4(s168) | (~until5(s168)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9711,plain,
% 4.77/3.58 ((node4(s168) | (~until5(s168)) | xuntil6(s168)) <=> (xuntil6(s168) | node4(s168) | (~until5(s168)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9712,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s168) | (~until5(s168)) | xuntil6(s168))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s168) | node4(s168) | (~until5(s168))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9711])).
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% 4.77/3.58 inference(transitivity,[status(thm)],[9712, 9710])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9715,plain,
% 4.77/3.58 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s168) | node4(s168) | (~until5(s168))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9714, 9713])).
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% 4.77/3.58 (xuntil6(s168) | (~until5(s168))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9715, 155, 9709])).
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% 4.77/3.58 (xuntil6(s168)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9716, 9705])).
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% 4.77/3.58 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169))),
% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9720,plain,
% 4.77/3.58 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s168, s169)) | (~xuntil6(s168)) | until5(s169)),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9719, 9718])).
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% 4.77/3.58 ((~xuntil6(s168)) | until5(s169)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9720, 5833, 173])).
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% 4.77/3.58 (until5(s169)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9721, 9717])).
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% 4.77/3.58 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s169) | (~node4(s169)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9725,plain,
% 4.77/3.58 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s169) | (~node4(s169))),
% 4.77/3.58 inference(modus_ponens,[status(thm)],[9724, 9723])).
% 4.77/3.58 tff(9726,plain,
% 4.77/3.58 (~node4(s169)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9725, 35, 5830])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 ((node4(s169) | (~until5(s169)) | xuntil6(s169)) <=> (xuntil6(s169) | node4(s169) | (~until5(s169)))),
% 4.77/3.58 inference(rewrite,[status(thm)],[])).
% 4.77/3.58 tff(9729,plain,
% 4.77/3.58 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s169) | (~until5(s169)) | xuntil6(s169))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s169) | node4(s169) | (~until5(s169))))),
% 4.77/3.58 inference(monotonicity,[status(thm)],[9728])).
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% 4.77/3.58 inference(transitivity,[status(thm)],[9729, 9727])).
% 4.77/3.58 tff(9731,plain,
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
% 4.77/3.58 tff(9732,plain,
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% 4.77/3.58 inference(modus_ponens,[status(thm)],[9731, 9730])).
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% 4.77/3.58 (xuntil6(s169) | (~until5(s169))),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9732, 155, 9726])).
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% 4.77/3.58 (xuntil6(s169)),
% 4.77/3.58 inference(unit_resolution,[status(thm)],[9733, 9722])).
% 4.77/3.58 tff(9735,plain,
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.58 inference(unit_resolution,[status(thm)],[9738, 9734])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 inference(transitivity,[status(thm)],[9746, 9744])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.58 inference(unit_resolution,[status(thm)],[9750, 9739])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.58 inference(modus_ponens,[status(thm)],[9753, 9752])).
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% 4.77/3.58 inference(unit_resolution,[status(thm)],[9754, 5809, 173])).
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% 4.77/3.58 inference(unit_resolution,[status(thm)],[9755, 9751])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.58 inference(transitivity,[status(thm)],[9763, 9761])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.58 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.58 inference(modus_ponens,[status(thm)],[9770, 9769])).
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% 4.77/3.58 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s174) | (~node4(s174)))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9810,plain,
% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s174) | (~node4(s174))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9809, 9808])).
% 4.77/3.59 tff(9811,plain,
% 4.77/3.59 (~node4(s174)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9810, 35, 5770])).
% 4.77/3.59 tff(9812,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s174) | node4(s174) | (~until5(s174)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9813,plain,
% 4.77/3.59 ((node4(s174) | (~until5(s174)) | xuntil6(s174)) <=> (xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9814,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s174) | node4(s174) | (~until5(s174))))),
% 4.77/3.59 inference(monotonicity,[status(thm)],[9813])).
% 4.77/3.59 tff(9815,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174)))),
% 4.77/3.59 inference(transitivity,[status(thm)],[9814, 9812])).
% 4.77/3.59 tff(9816,plain,
% 4.77/3.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s174) | (~until5(s174)) | xuntil6(s174))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9817,plain,
% 4.77/3.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s174) | node4(s174) | (~until5(s174))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9816, 9815])).
% 4.77/3.59 tff(9818,plain,
% 4.77/3.59 (xuntil6(s174) | (~until5(s174))),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9817, 155, 9811])).
% 4.77/3.59 tff(9819,plain,
% 4.77/3.59 (xuntil6(s174)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9818, 9807])).
% 4.77/3.59 tff(9820,plain,
% 4.77/3.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9821,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9822,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s174, s175)) | (~xuntil6(s174)) | until5(s175)),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9821, 9820])).
% 4.77/3.59 tff(9823,plain,
% 4.77/3.59 ((~xuntil6(s174)) | until5(s175)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9822, 5761, 173])).
% 4.77/3.59 tff(9824,plain,
% 4.77/3.59 (until5(s175)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9823, 9819])).
% 4.77/3.59 tff(9825,plain,
% 4.77/3.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9826,plain,
% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s175) | (~node4(s175)))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9827,plain,
% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s175) | (~node4(s175))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9826, 9825])).
% 4.77/3.59 tff(9828,plain,
% 4.77/3.59 (~node4(s175)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9827, 35, 5758])).
% 4.77/3.59 tff(9829,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s175) | node4(s175) | (~until5(s175)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9830,plain,
% 4.77/3.59 ((node4(s175) | (~until5(s175)) | xuntil6(s175)) <=> (xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9831,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s175) | node4(s175) | (~until5(s175))))),
% 4.77/3.59 inference(monotonicity,[status(thm)],[9830])).
% 4.77/3.59 tff(9832,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175)))),
% 4.77/3.59 inference(transitivity,[status(thm)],[9831, 9829])).
% 4.77/3.59 tff(9833,plain,
% 4.77/3.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s175) | (~until5(s175)) | xuntil6(s175))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9834,plain,
% 4.77/3.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s175) | node4(s175) | (~until5(s175))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9833, 9832])).
% 4.77/3.59 tff(9835,plain,
% 4.77/3.59 (xuntil6(s175) | (~until5(s175))),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9834, 155, 9828])).
% 4.77/3.59 tff(9836,plain,
% 4.77/3.59 (xuntil6(s175)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9835, 9824])).
% 4.77/3.59 tff(9837,plain,
% 4.77/3.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9838,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9839,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s175, s176)) | (~xuntil6(s175)) | until5(s176)),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9838, 9837])).
% 4.77/3.59 tff(9840,plain,
% 4.77/3.59 ((~xuntil6(s175)) | until5(s176)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9839, 5749, 173])).
% 4.77/3.59 tff(9841,plain,
% 4.77/3.59 (until5(s176)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9840, 9836])).
% 4.77/3.59 tff(9842,plain,
% 4.77/3.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9843,plain,
% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s176) | (~node4(s176)))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9844,plain,
% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s176) | (~node4(s176))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9843, 9842])).
% 4.77/3.59 tff(9845,plain,
% 4.77/3.59 (~node4(s176)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9844, 35, 5746])).
% 4.77/3.59 tff(9846,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s176) | node4(s176) | (~until5(s176)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9847,plain,
% 4.77/3.59 ((node4(s176) | (~until5(s176)) | xuntil6(s176)) <=> (xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9848,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s176) | (~until5(s176)) | xuntil6(s176))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s176) | node4(s176) | (~until5(s176))))),
% 4.77/3.59 inference(monotonicity,[status(thm)],[9847])).
% 4.77/3.59 tff(9849,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s176) | (~until5(s176)) | xuntil6(s176))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176)))),
% 4.77/3.59 inference(transitivity,[status(thm)],[9848, 9846])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9851,plain,
% 4.77/3.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s176) | node4(s176) | (~until5(s176))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 4.77/3.59 tff(9852,plain,
% 4.77/3.59 (xuntil6(s176) | (~until5(s176))),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9851, 155, 9845])).
% 4.77/3.59 tff(9853,plain,
% 4.77/3.59 (xuntil6(s176)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9852, 9841])).
% 4.77/3.59 tff(9854,plain,
% 4.77/3.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9855,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9856,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s176, s177)) | (~xuntil6(s176)) | until5(s177)),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9855, 9854])).
% 4.77/3.59 tff(9857,plain,
% 4.77/3.59 ((~xuntil6(s176)) | until5(s177)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9856, 5737, 173])).
% 4.77/3.59 tff(9858,plain,
% 4.77/3.59 (until5(s177)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9857, 9853])).
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% 4.77/3.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9860,plain,
% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s177) | (~node4(s177)))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9861,plain,
% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s177) | (~node4(s177))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9860, 9859])).
% 4.77/3.59 tff(9862,plain,
% 4.77/3.59 (~node4(s177)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9861, 35, 5734])).
% 4.77/3.59 tff(9863,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s177) | node4(s177) | (~until5(s177)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9864,plain,
% 4.77/3.59 ((node4(s177) | (~until5(s177)) | xuntil6(s177)) <=> (xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9865,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s177) | (~until5(s177)) | xuntil6(s177))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s177) | node4(s177) | (~until5(s177))))),
% 4.77/3.59 inference(monotonicity,[status(thm)],[9864])).
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% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s177) | (~until5(s177)) | xuntil6(s177))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177)))),
% 4.77/3.59 inference(transitivity,[status(thm)],[9865, 9863])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9868,plain,
% 4.77/3.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s177) | node4(s177) | (~until5(s177))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9867, 9866])).
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% 4.77/3.59 (xuntil6(s177) | (~until5(s177))),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9868, 155, 9862])).
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% 4.77/3.59 (xuntil6(s177)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9869, 9858])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9872,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9873,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s177, s178)) | (~xuntil6(s177)) | until5(s178)),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9872, 9871])).
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% 4.77/3.59 ((~xuntil6(s177)) | until5(s178)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9873, 5725, 173])).
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% 4.77/3.59 (until5(s178)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9874, 9870])).
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% 4.77/3.59 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s178) | (~node4(s178)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s178) | (~node4(s178)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9877,plain,
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9878,plain,
% 4.77/3.59 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s178) | (~node4(s178))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9877, 9876])).
% 4.77/3.59 tff(9879,plain,
% 4.77/3.59 (~node4(s178)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9878, 35, 5722])).
% 4.77/3.59 tff(9880,plain,
% 4.77/3.59 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s178) | node4(s178) | (~until5(s178)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s178) | node4(s178) | (~until5(s178)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9881,plain,
% 4.77/3.59 ((node4(s178) | (~until5(s178)) | xuntil6(s178)) <=> (xuntil6(s178) | node4(s178) | (~until5(s178)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(monotonicity,[status(thm)],[9881])).
% 4.77/3.59 tff(9883,plain,
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% 4.77/3.59 inference(transitivity,[status(thm)],[9882, 9880])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9884, 9883])).
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% 4.77/3.59 (xuntil6(s178) | (~until5(s178))),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9885, 155, 9879])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9886, 9875])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9889,plain,
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9889, 9888])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9890, 5713, 173])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9891, 9887])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9894, 9893])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9895, 35, 5710])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(monotonicity,[status(thm)],[9898])).
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% 4.77/3.59 inference(transitivity,[status(thm)],[9899, 9897])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9902,plain,
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9901, 9900])).
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% 4.77/3.59 (xuntil6(s179) | (~until5(s179))),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9902, 155, 9896])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9903, 9892])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9906, 9905])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9907, 5701, 173])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9908, 9904])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9911, 9910])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9912, 35, 5698])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(monotonicity,[status(thm)],[9915])).
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% 4.77/3.59 inference(transitivity,[status(thm)],[9916, 9914])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9918, 9917])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9919, 155, 9913])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9920, 9909])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9923, 9922])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9924, 5689, 173])).
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% 4.77/3.59 inference(unit_resolution,[status(thm)],[9925, 9921])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(modus_ponens,[status(thm)],[9928, 9927])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(monotonicity,[status(thm)],[9932])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(rewrite,[status(thm)],[])).
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% 4.77/3.59 inference(monotonicity,[status(thm)],[9949])).
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% 4.77/3.59 inference(transitivity,[status(thm)],[9950, 9948])).
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% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9953,plain,
% 4.77/3.59 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s182) | node4(s182) | (~until5(s182))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9952, 9951])).
% 4.77/3.59 tff(9954,plain,
% 4.77/3.59 (xuntil6(s182) | (~until5(s182))),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9953, 155, 9947])).
% 4.77/3.59 tff(9955,plain,
% 4.77/3.59 (xuntil6(s182)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9954, 9943])).
% 4.77/3.59 tff(9956,plain,
% 4.77/3.59 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9957,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9958,plain,
% 4.77/3.59 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s182, s183)) | (~xuntil6(s182)) | until5(s183)),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9957, 9956])).
% 4.77/3.59 tff(9959,plain,
% 4.77/3.59 ((~xuntil6(s182)) | until5(s183)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9958, 5665, 173])).
% 4.77/3.59 tff(9960,plain,
% 4.77/3.59 (until5(s183)),
% 4.77/3.59 inference(unit_resolution,[status(thm)],[9959, 9955])).
% 4.77/3.59 tff(9961,assumption,(node4(s183)), introduced(assumption)).
% 4.77/3.59 tff(9962,plain,
% 4.77/3.59 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s183) | (~node4(s183)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s183) | (~node4(s183)))),
% 4.77/3.59 inference(rewrite,[status(thm)],[])).
% 4.77/3.59 tff(9963,plain,
% 4.77/3.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s183) | (~node4(s183)))),
% 4.77/3.59 inference(quant_inst,[status(thm)],[])).
% 4.77/3.59 tff(9964,plain,
% 4.77/3.59 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s183) | (~node4(s183))),
% 4.77/3.59 inference(modus_ponens,[status(thm)],[9963, 9962])).
% 4.77/3.60 tff(9965,plain,
% 4.77/3.60 (m_main_v_request(s183)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[9964, 17, 9961])).
% 4.77/3.60 tff(9966,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(9967,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s183) | (~node4(s183)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(9968,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s183) | (~node4(s183))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[9967, 9966])).
% 4.77/3.60 tff(9969,plain,
% 4.77/3.60 (always3(s183)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[9968, 35, 9961])).
% 4.77/3.60 tff(9970,plain,
% 4.77/3.60 (always3(s184)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5661, 9969])).
% 4.77/3.60 tff(9971,plain,
% 4.77/3.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s184)) | (~m_main_v_state(s184, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(9972,plain,
% 4.77/3.60 (((~m_main_v_state(s184, c_busy)) | (~always3(s184))) <=> ((~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(9973,plain,
% 4.77/3.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s184)) | (~m_main_v_state(s184, c_busy))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[9972])).
% 4.77/3.60 tff(9974,plain,
% 4.77/3.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[9973, 9971])).
% 4.77/3.60 tff(9975,plain,
% 4.77/3.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s184, c_busy)) | (~always3(s184)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(9976,plain,
% 4.77/3.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s184)) | (~m_main_v_state(s184, c_busy))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[9975, 9974])).
% 4.77/3.60 tff(9977,plain,
% 4.77/3.60 (~m_main_v_state(s184, c_busy)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[9976, 75, 9970])).
% 4.77/3.60 tff(9978,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s183, s184)) | node2(s183, s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s183, s184)) | node2(s183, s184))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(9979,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s183, s184)) | node2(s183, s184))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(9980,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s183, s184)) | node2(s183, s184)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[9979, 9978])).
% 4.77/3.60 tff(9981,plain,
% 4.77/3.60 (node2(s183, s184)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[9980, 7, 5657])).
% 4.77/3.60 tff(9982,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(9983,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(9984,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s183, c_ready)) | (~node2(s183, s184)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[9983, 9982])).
% 4.77/3.60 tff(9985,plain,
% 4.77/3.60 ((~m_main_v_state(s183, c_ready)) | m_main_v_state(s184, c_busy) | (~m_main_v_request(s183))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[9984, 96, 9981])).
% 4.77/3.60 tff(9986,plain,
% 4.77/3.60 (~m_main_v_state(s183, c_ready)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[9985, 9977, 9965])).
% 4.77/3.60 tff(9987,plain,
% 4.77/3.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s183)) | (~m_main_v_state(s183, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(9988,plain,
% 4.77/3.60 (((~m_main_v_state(s183, c_busy)) | (~always3(s183))) <=> ((~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(9989,plain,
% 4.77/3.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s183)) | (~m_main_v_state(s183, c_busy))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[9988])).
% 4.77/3.60 tff(9990,plain,
% 4.77/3.60 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[9989, 9987])).
% 4.77/3.60 tff(9991,plain,
% 4.77/3.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s183, c_busy)) | (~always3(s183)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(9992,plain,
% 4.77/3.60 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s183)) | (~m_main_v_state(s183, c_busy))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[9991, 9990])).
% 4.77/3.60 tff(9993,plain,
% 4.77/3.60 (~m_main_v_state(s183, c_busy)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[9992, 75, 9969])).
% 4.77/3.60 tff(9994,plain,
% 4.77/3.60 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(9995,plain,
% 4.77/3.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(9996,plain,
% 4.77/3.60 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s183, c_busy) | m_main_v_state(s183, c_ready)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[9995, 9994])).
% 4.77/3.60 tff(9997,plain,
% 4.77/3.60 ($false),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[9996, 118, 9993, 9986])).
% 4.77/3.60 tff(9998,plain,(~node4(s183)), inference(lemma,lemma(discharge,[]))).
% 4.77/3.60 tff(9999,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s183) | node4(s183) | (~until5(s183)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10000,plain,
% 4.77/3.60 ((node4(s183) | (~until5(s183)) | xuntil6(s183)) <=> (xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10001,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s183) | (~until5(s183)) | xuntil6(s183))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s183) | node4(s183) | (~until5(s183))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10000])).
% 4.77/3.60 tff(10002,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s183) | (~until5(s183)) | xuntil6(s183))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s183) | node4(s183) | (~until5(s183)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10001, 9999])).
% 4.77/3.60 tff(10003,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s183) | (~until5(s183)) | xuntil6(s183))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10004,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s183) | node4(s183) | (~until5(s183))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10003, 10002])).
% 4.77/3.60 tff(10005,plain,
% 4.77/3.60 (xuntil6(s183) | (~until5(s183))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10004, 155, 9998])).
% 4.77/3.60 tff(10006,plain,
% 4.77/3.60 (xuntil6(s183)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10005, 9960])).
% 4.77/3.60 tff(10007,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10008,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10009,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s183, s184)) | (~xuntil6(s183)) | until5(s184)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10008, 10007])).
% 4.77/3.60 tff(10010,plain,
% 4.77/3.60 ((~xuntil6(s183)) | until5(s184)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10009, 5653, 173])).
% 4.77/3.60 tff(10011,plain,
% 4.77/3.60 (until5(s184)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10010, 10006])).
% 4.77/3.60 tff(10012,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10013,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s184) | (~node4(s184)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10014,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s184) | (~node4(s184))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10013, 10012])).
% 4.77/3.60 tff(10015,plain,
% 4.77/3.60 (~node4(s184)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10014, 35, 5650])).
% 4.77/3.60 tff(10016,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s184) | node4(s184) | (~until5(s184)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10017,plain,
% 4.77/3.60 ((node4(s184) | (~until5(s184)) | xuntil6(s184)) <=> (xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10018,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s184) | (~until5(s184)) | xuntil6(s184))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s184) | node4(s184) | (~until5(s184))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10017])).
% 4.77/3.60 tff(10019,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s184) | (~until5(s184)) | xuntil6(s184))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s184) | node4(s184) | (~until5(s184)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10018, 10016])).
% 4.77/3.60 tff(10020,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s184) | (~until5(s184)) | xuntil6(s184))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10021,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s184) | node4(s184) | (~until5(s184))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10020, 10019])).
% 4.77/3.60 tff(10022,plain,
% 4.77/3.60 (xuntil6(s184) | (~until5(s184))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10021, 155, 10015])).
% 4.77/3.60 tff(10023,plain,
% 4.77/3.60 (xuntil6(s184)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10022, 10011])).
% 4.77/3.60 tff(10024,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10025,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10026,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s184, s185)) | (~xuntil6(s184)) | until5(s185)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10025, 10024])).
% 4.77/3.60 tff(10027,plain,
% 4.77/3.60 ((~xuntil6(s184)) | until5(s185)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10026, 5641, 173])).
% 4.77/3.60 tff(10028,plain,
% 4.77/3.60 (until5(s185)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10027, 10023])).
% 4.77/3.60 tff(10029,assumption,(~always3(s200)), introduced(assumption)).
% 4.77/3.60 tff(10030,plain,
% 4.77/3.60 (~always3(s199)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5469, 10029])).
% 4.77/3.60 tff(10031,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10032,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s199) | (~node4(s199)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10033,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s199) | (~node4(s199))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10032, 10031])).
% 4.77/3.60 tff(10034,plain,
% 4.77/3.60 (~node4(s199)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10033, 35, 10030])).
% 4.77/3.60 tff(10035,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s200) | (~node4(s200)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s200) | (~node4(s200)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10036,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s200) | (~node4(s200)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10037,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s200) | (~node4(s200))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10036, 10035])).
% 4.77/3.60 tff(10038,plain,
% 4.77/3.60 (~node4(s200)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10037, 35, 10029])).
% 4.77/3.60 tff(10039,assumption,(~xuntil6(s200)), introduced(assumption)).
% 4.77/3.60 tff(10040,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s200) | node4(s200) | (~until5(s200)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s200) | node4(s200) | (~until5(s200)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10041,plain,
% 4.77/3.60 ((node4(s200) | (~until5(s200)) | xuntil6(s200)) <=> (xuntil6(s200) | node4(s200) | (~until5(s200)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10042,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s200) | (~until5(s200)) | xuntil6(s200))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s200) | node4(s200) | (~until5(s200))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10041])).
% 4.77/3.60 tff(10043,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s200) | (~until5(s200)) | xuntil6(s200))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s200) | node4(s200) | (~until5(s200)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10042, 10040])).
% 4.77/3.60 tff(10044,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s200) | (~until5(s200)) | xuntil6(s200))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10045,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s200) | node4(s200) | (~until5(s200))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10044, 10043])).
% 4.77/3.60 tff(10046,plain,
% 4.77/3.60 (node4(s200) | (~until5(s200))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10045, 155, 10039])).
% 4.77/3.60 tff(10047,plain,
% 4.77/3.60 (~until5(s200)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10046, 10038])).
% 4.77/3.60 tff(10048,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10049,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10050,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s199, s200)) | (~xuntil6(s199)) | until5(s200)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 4.77/3.60 tff(10051,plain,
% 4.77/3.60 ((~xuntil6(s199)) | until5(s200)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10050, 5461, 173])).
% 4.77/3.60 tff(10052,plain,
% 4.77/3.60 (~xuntil6(s199)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10051, 10047])).
% 4.77/3.60 tff(10053,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s199) | node4(s199) | (~until5(s199)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10054,plain,
% 4.77/3.60 ((node4(s199) | (~until5(s199)) | xuntil6(s199)) <=> (xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10055,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s199) | (~until5(s199)) | xuntil6(s199))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s199) | node4(s199) | (~until5(s199))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10054])).
% 4.77/3.60 tff(10056,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s199) | (~until5(s199)) | xuntil6(s199))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10055, 10053])).
% 4.77/3.60 tff(10057,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s199) | (~until5(s199)) | xuntil6(s199))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10058,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s199) | node4(s199) | (~until5(s199))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10057, 10056])).
% 4.77/3.60 tff(10059,plain,
% 4.77/3.60 (~until5(s199)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10058, 155, 10052, 10034])).
% 4.77/3.60 tff(10060,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10061,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10062,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s198, s199)) | (~xuntil6(s198)) | until5(s199)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10061, 10060])).
% 4.77/3.60 tff(10063,plain,
% 4.77/3.60 ((~xuntil6(s198)) | until5(s199)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10062, 5473, 173])).
% 4.77/3.60 tff(10064,plain,
% 4.77/3.60 (~xuntil6(s198)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10063, 10059])).
% 4.77/3.60 tff(10065,plain,
% 4.77/3.60 (~always3(s198)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5481, 10030])).
% 4.77/3.60 tff(10066,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10067,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s198) | (~node4(s198)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10068,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s198) | (~node4(s198))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10067, 10066])).
% 4.77/3.60 tff(10069,plain,
% 4.77/3.60 (~node4(s198)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10068, 35, 10065])).
% 4.77/3.60 tff(10070,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s198) | node4(s198) | (~until5(s198)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10071,plain,
% 4.77/3.60 ((node4(s198) | (~until5(s198)) | xuntil6(s198)) <=> (xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10072,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s198) | node4(s198) | (~until5(s198))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10071])).
% 4.77/3.60 tff(10073,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10072, 10070])).
% 4.77/3.60 tff(10074,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s198) | (~until5(s198)) | xuntil6(s198))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10075,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s198) | node4(s198) | (~until5(s198))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10074, 10073])).
% 4.77/3.60 tff(10076,plain,
% 4.77/3.60 (xuntil6(s198) | (~until5(s198))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10075, 155, 10069])).
% 4.77/3.60 tff(10077,plain,
% 4.77/3.60 (~until5(s198)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10076, 10064])).
% 4.77/3.60 tff(10078,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10079,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10080,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s197, s198)) | (~xuntil6(s197)) | until5(s198)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10079, 10078])).
% 4.77/3.60 tff(10081,plain,
% 4.77/3.60 ((~xuntil6(s197)) | until5(s198)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10080, 5485, 173])).
% 4.77/3.60 tff(10082,plain,
% 4.77/3.60 (~xuntil6(s197)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10081, 10077])).
% 4.77/3.60 tff(10083,plain,
% 4.77/3.60 (~always3(s197)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5493, 10065])).
% 4.77/3.60 tff(10084,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10085,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s197) | (~node4(s197)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10086,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s197) | (~node4(s197))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10085, 10084])).
% 4.77/3.60 tff(10087,plain,
% 4.77/3.60 (~node4(s197)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10086, 35, 10083])).
% 4.77/3.60 tff(10088,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s197) | node4(s197) | (~until5(s197)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10089,plain,
% 4.77/3.60 ((node4(s197) | (~until5(s197)) | xuntil6(s197)) <=> (xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10090,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s197) | node4(s197) | (~until5(s197))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10089])).
% 4.77/3.60 tff(10091,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10090, 10088])).
% 4.77/3.60 tff(10092,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s197) | (~until5(s197)) | xuntil6(s197))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10093,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s197) | node4(s197) | (~until5(s197))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10092, 10091])).
% 4.77/3.60 tff(10094,plain,
% 4.77/3.60 (xuntil6(s197) | (~until5(s197))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10093, 155, 10087])).
% 4.77/3.60 tff(10095,plain,
% 4.77/3.60 (~until5(s197)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10094, 10082])).
% 4.77/3.60 tff(10096,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10097,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10098,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s196, s197)) | (~xuntil6(s196)) | until5(s197)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10097, 10096])).
% 4.77/3.60 tff(10099,plain,
% 4.77/3.60 ((~xuntil6(s196)) | until5(s197)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10098, 5497, 173])).
% 4.77/3.60 tff(10100,plain,
% 4.77/3.60 (~xuntil6(s196)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10099, 10095])).
% 4.77/3.60 tff(10101,plain,
% 4.77/3.60 (~always3(s196)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5505, 10083])).
% 4.77/3.60 tff(10102,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10103,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s196) | (~node4(s196)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10104,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s196) | (~node4(s196))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10103, 10102])).
% 4.77/3.60 tff(10105,plain,
% 4.77/3.60 (~node4(s196)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10104, 35, 10101])).
% 4.77/3.60 tff(10106,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s196) | node4(s196) | (~until5(s196)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10107,plain,
% 4.77/3.60 ((node4(s196) | (~until5(s196)) | xuntil6(s196)) <=> (xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10108,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s196) | node4(s196) | (~until5(s196))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10107])).
% 4.77/3.60 tff(10109,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10108, 10106])).
% 4.77/3.60 tff(10110,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s196) | (~until5(s196)) | xuntil6(s196))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10111,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s196) | node4(s196) | (~until5(s196))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10110, 10109])).
% 4.77/3.60 tff(10112,plain,
% 4.77/3.60 (xuntil6(s196) | (~until5(s196))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10111, 155, 10105])).
% 4.77/3.60 tff(10113,plain,
% 4.77/3.60 (~until5(s196)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10112, 10100])).
% 4.77/3.60 tff(10114,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10115,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10116,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s195, s196)) | (~xuntil6(s195)) | until5(s196)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10115, 10114])).
% 4.77/3.60 tff(10117,plain,
% 4.77/3.60 ((~xuntil6(s195)) | until5(s196)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10116, 5509, 173])).
% 4.77/3.60 tff(10118,plain,
% 4.77/3.60 (~xuntil6(s195)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10117, 10113])).
% 4.77/3.60 tff(10119,plain,
% 4.77/3.60 (~always3(s195)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5517, 10101])).
% 4.77/3.60 tff(10120,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10121,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s195) | (~node4(s195)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10122,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s195) | (~node4(s195))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10121, 10120])).
% 4.77/3.60 tff(10123,plain,
% 4.77/3.60 (~node4(s195)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10122, 35, 10119])).
% 4.77/3.60 tff(10124,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s195) | node4(s195) | (~until5(s195)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10125,plain,
% 4.77/3.60 ((node4(s195) | (~until5(s195)) | xuntil6(s195)) <=> (xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10126,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s195) | (~until5(s195)) | xuntil6(s195))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s195) | node4(s195) | (~until5(s195))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10125])).
% 4.77/3.60 tff(10127,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s195) | (~until5(s195)) | xuntil6(s195))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10126, 10124])).
% 4.77/3.60 tff(10128,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s195) | (~until5(s195)) | xuntil6(s195))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10129,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s195) | node4(s195) | (~until5(s195))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10128, 10127])).
% 4.77/3.60 tff(10130,plain,
% 4.77/3.60 (xuntil6(s195) | (~until5(s195))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10129, 155, 10123])).
% 4.77/3.60 tff(10131,plain,
% 4.77/3.60 (~until5(s195)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10130, 10118])).
% 4.77/3.60 tff(10132,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10133,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10134,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s194, s195)) | (~xuntil6(s194)) | until5(s195)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 4.77/3.60 tff(10135,plain,
% 4.77/3.60 ((~xuntil6(s194)) | until5(s195)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10134, 5521, 173])).
% 4.77/3.60 tff(10136,plain,
% 4.77/3.60 (~xuntil6(s194)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10135, 10131])).
% 4.77/3.60 tff(10137,plain,
% 4.77/3.60 (~always3(s194)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5529, 10119])).
% 4.77/3.60 tff(10138,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10139,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s194) | (~node4(s194)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10140,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s194) | (~node4(s194))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10139, 10138])).
% 4.77/3.60 tff(10141,plain,
% 4.77/3.60 (~node4(s194)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10140, 35, 10137])).
% 4.77/3.60 tff(10142,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s194) | node4(s194) | (~until5(s194)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10143,plain,
% 4.77/3.60 ((node4(s194) | (~until5(s194)) | xuntil6(s194)) <=> (xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10144,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s194) | (~until5(s194)) | xuntil6(s194))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s194) | node4(s194) | (~until5(s194))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10143])).
% 4.77/3.60 tff(10145,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s194) | (~until5(s194)) | xuntil6(s194))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10144, 10142])).
% 4.77/3.60 tff(10146,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s194) | (~until5(s194)) | xuntil6(s194))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10147,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s194) | node4(s194) | (~until5(s194))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10146, 10145])).
% 4.77/3.60 tff(10148,plain,
% 4.77/3.60 (xuntil6(s194) | (~until5(s194))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10147, 155, 10141])).
% 4.77/3.60 tff(10149,plain,
% 4.77/3.60 (~until5(s194)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10148, 10136])).
% 4.77/3.60 tff(10150,plain,
% 4.77/3.60 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10151,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10152,plain,
% 4.77/3.60 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s193, s194)) | (~xuntil6(s193)) | until5(s194)),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 4.77/3.60 tff(10153,plain,
% 4.77/3.60 ((~xuntil6(s193)) | until5(s194)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10152, 5533, 173])).
% 4.77/3.60 tff(10154,plain,
% 4.77/3.60 (~xuntil6(s193)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10153, 10149])).
% 4.77/3.60 tff(10155,plain,
% 4.77/3.60 (~always3(s193)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5541, 10137])).
% 4.77/3.60 tff(10156,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10157,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s193) | (~node4(s193)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10158,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s193) | (~node4(s193))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10157, 10156])).
% 4.77/3.60 tff(10159,plain,
% 4.77/3.60 (~node4(s193)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10158, 35, 10155])).
% 4.77/3.60 tff(10160,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s193) | node4(s193) | (~until5(s193)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10161,plain,
% 4.77/3.60 ((node4(s193) | (~until5(s193)) | xuntil6(s193)) <=> (xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10162,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s193) | node4(s193) | (~until5(s193))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10161])).
% 4.77/3.60 tff(10163,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193)))),
% 4.77/3.60 inference(transitivity,[status(thm)],[10162, 10160])).
% 4.77/3.60 tff(10164,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s193) | (~until5(s193)) | xuntil6(s193))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10165,plain,
% 4.77/3.60 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s193) | node4(s193) | (~until5(s193))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10164, 10163])).
% 4.77/3.60 tff(10166,plain,
% 4.77/3.60 (xuntil6(s193) | (~until5(s193))),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10165, 155, 10159])).
% 4.77/3.60 tff(10167,plain,
% 4.77/3.60 (~until5(s193)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10166, 10154])).
% 4.77/3.60 tff(10168,plain,
% 4.77/3.60 (~always3(s192)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5553, 10155])).
% 4.77/3.60 tff(10169,plain,
% 4.77/3.60 (~always3(s191)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5565, 10168])).
% 4.77/3.60 tff(10170,plain,
% 4.77/3.60 (~always3(s190)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5577, 10169])).
% 4.77/3.60 tff(10171,plain,
% 4.77/3.60 (~always3(s189)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5589, 10170])).
% 4.77/3.60 tff(10172,plain,
% 4.77/3.60 (~always3(s188)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5601, 10171])).
% 4.77/3.60 tff(10173,plain,
% 4.77/3.60 (~always3(s187)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5613, 10172])).
% 4.77/3.60 tff(10174,plain,
% 4.77/3.60 (~always3(s186)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5625, 10173])).
% 4.77/3.60 tff(10175,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s186) | (~node4(s186)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s186) | (~node4(s186)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10176,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s186) | (~node4(s186)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10177,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s186) | (~node4(s186))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10176, 10175])).
% 4.77/3.60 tff(10178,plain,
% 4.77/3.60 (~node4(s186)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10177, 35, 10174])).
% 4.77/3.60 tff(10179,plain,
% 4.77/3.60 (~always3(s185)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[5637, 10174])).
% 4.77/3.60 tff(10180,plain,
% 4.77/3.60 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10181,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s185) | (~node4(s185)))),
% 4.77/3.60 inference(quant_inst,[status(thm)],[])).
% 4.77/3.60 tff(10182,plain,
% 4.77/3.60 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s185) | (~node4(s185))),
% 4.77/3.60 inference(modus_ponens,[status(thm)],[10181, 10180])).
% 4.77/3.60 tff(10183,plain,
% 4.77/3.60 (~node4(s185)),
% 4.77/3.60 inference(unit_resolution,[status(thm)],[10182, 35, 10179])).
% 4.77/3.60 tff(10184,assumption,(until5(s185)), introduced(assumption)).
% 4.77/3.60 tff(10185,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s185) | node4(s185) | (~until5(s185)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s185) | node4(s185) | (~until5(s185)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10186,plain,
% 4.77/3.60 ((node4(s185) | (~until5(s185)) | xuntil6(s185)) <=> (xuntil6(s185) | node4(s185) | (~until5(s185)))),
% 4.77/3.60 inference(rewrite,[status(thm)],[])).
% 4.77/3.60 tff(10187,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s185) | (~until5(s185)) | xuntil6(s185))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s185) | node4(s185) | (~until5(s185))))),
% 4.77/3.60 inference(monotonicity,[status(thm)],[10186])).
% 4.77/3.60 tff(10188,plain,
% 4.77/3.60 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s185) | (~until5(s185)) | xuntil6(s185))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s185) | node4(s185) | (~until5(s185)))),
% 4.77/3.61 inference(transitivity,[status(thm)],[10187, 10185])).
% 4.77/3.61 tff(10189,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s185) | (~until5(s185)) | xuntil6(s185))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10190,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s185) | node4(s185) | (~until5(s185))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10189, 10188])).
% 4.77/3.61 tff(10191,plain,
% 4.77/3.61 (xuntil6(s185) | node4(s185)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10190, 155, 10184])).
% 4.77/3.61 tff(10192,plain,
% 4.77/3.61 (xuntil6(s185)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10191, 10183])).
% 4.77/3.61 tff(10193,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10194,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10195,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s185, s186)) | (~xuntil6(s185)) | until5(s186)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10194, 10193])).
% 4.77/3.61 tff(10196,plain,
% 4.77/3.61 ((~xuntil6(s185)) | until5(s186)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10195, 5629, 173])).
% 4.77/3.61 tff(10197,plain,
% 4.77/3.61 (until5(s186)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10196, 10192])).
% 4.77/3.61 tff(10198,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s186) | node4(s186) | (~until5(s186)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10199,plain,
% 4.77/3.61 ((node4(s186) | (~until5(s186)) | xuntil6(s186)) <=> (xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10200,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s186) | (~until5(s186)) | xuntil6(s186))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s186) | node4(s186) | (~until5(s186))))),
% 4.77/3.61 inference(monotonicity,[status(thm)],[10199])).
% 4.77/3.61 tff(10201,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s186) | (~until5(s186)) | xuntil6(s186))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s186) | node4(s186) | (~until5(s186)))),
% 4.77/3.61 inference(transitivity,[status(thm)],[10200, 10198])).
% 4.77/3.61 tff(10202,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s186) | (~until5(s186)) | xuntil6(s186))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10203,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s186) | node4(s186) | (~until5(s186))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10202, 10201])).
% 4.77/3.61 tff(10204,plain,
% 4.77/3.61 (xuntil6(s186)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10203, 155, 10197, 10178])).
% 4.77/3.61 tff(10205,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10206,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10207,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s186, s187)) | (~xuntil6(s186)) | until5(s187)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10206, 10205])).
% 4.77/3.61 tff(10208,plain,
% 4.77/3.61 ((~xuntil6(s186)) | until5(s187)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10207, 5617, 173])).
% 4.77/3.61 tff(10209,plain,
% 4.77/3.61 (until5(s187)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10208, 10204])).
% 4.77/3.61 tff(10210,plain,
% 4.77/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s187) | (~node4(s187)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s187) | (~node4(s187)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10211,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s187) | (~node4(s187)))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10212,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s187) | (~node4(s187))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10211, 10210])).
% 4.77/3.61 tff(10213,plain,
% 4.77/3.61 (~node4(s187)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10212, 35, 10173])).
% 4.77/3.61 tff(10214,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s187) | node4(s187) | (~until5(s187)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s187) | node4(s187) | (~until5(s187)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10215,plain,
% 4.77/3.61 ((node4(s187) | (~until5(s187)) | xuntil6(s187)) <=> (xuntil6(s187) | node4(s187) | (~until5(s187)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10216,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s187) | (~until5(s187)) | xuntil6(s187))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s187) | node4(s187) | (~until5(s187))))),
% 4.77/3.61 inference(monotonicity,[status(thm)],[10215])).
% 4.77/3.61 tff(10217,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s187) | (~until5(s187)) | xuntil6(s187))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s187) | node4(s187) | (~until5(s187)))),
% 4.77/3.61 inference(transitivity,[status(thm)],[10216, 10214])).
% 4.77/3.61 tff(10218,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s187) | (~until5(s187)) | xuntil6(s187))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10219,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s187) | node4(s187) | (~until5(s187))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10218, 10217])).
% 4.77/3.61 tff(10220,plain,
% 4.77/3.61 (xuntil6(s187) | (~until5(s187))),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10219, 155, 10213])).
% 4.77/3.61 tff(10221,plain,
% 4.77/3.61 (xuntil6(s187)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10220, 10209])).
% 4.77/3.61 tff(10222,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10223,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10224,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s187, s188)) | (~xuntil6(s187)) | until5(s188)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10223, 10222])).
% 4.77/3.61 tff(10225,plain,
% 4.77/3.61 ((~xuntil6(s187)) | until5(s188)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10224, 5605, 173])).
% 4.77/3.61 tff(10226,plain,
% 4.77/3.61 (until5(s188)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10225, 10221])).
% 4.77/3.61 tff(10227,plain,
% 4.77/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s188) | (~node4(s188)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s188) | (~node4(s188)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10228,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s188) | (~node4(s188)))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10229,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s188) | (~node4(s188))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10228, 10227])).
% 4.77/3.61 tff(10230,plain,
% 4.77/3.61 (~node4(s188)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10229, 35, 10172])).
% 4.77/3.61 tff(10231,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s188) | node4(s188) | (~until5(s188)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s188) | node4(s188) | (~until5(s188)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10232,plain,
% 4.77/3.61 ((node4(s188) | (~until5(s188)) | xuntil6(s188)) <=> (xuntil6(s188) | node4(s188) | (~until5(s188)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10233,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s188) | (~until5(s188)) | xuntil6(s188))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s188) | node4(s188) | (~until5(s188))))),
% 4.77/3.61 inference(monotonicity,[status(thm)],[10232])).
% 4.77/3.61 tff(10234,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s188) | (~until5(s188)) | xuntil6(s188))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s188) | node4(s188) | (~until5(s188)))),
% 4.77/3.61 inference(transitivity,[status(thm)],[10233, 10231])).
% 4.77/3.61 tff(10235,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s188) | (~until5(s188)) | xuntil6(s188))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10236,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s188) | node4(s188) | (~until5(s188))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10235, 10234])).
% 4.77/3.61 tff(10237,plain,
% 4.77/3.61 (xuntil6(s188) | (~until5(s188))),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10236, 155, 10230])).
% 4.77/3.61 tff(10238,plain,
% 4.77/3.61 (xuntil6(s188)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10237, 10226])).
% 4.77/3.61 tff(10239,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10240,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10241,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s188, s189)) | (~xuntil6(s188)) | until5(s189)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10240, 10239])).
% 4.77/3.61 tff(10242,plain,
% 4.77/3.61 ((~xuntil6(s188)) | until5(s189)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10241, 5593, 173])).
% 4.77/3.61 tff(10243,plain,
% 4.77/3.61 (until5(s189)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10242, 10238])).
% 4.77/3.61 tff(10244,plain,
% 4.77/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10245,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s189) | (~node4(s189)))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10246,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s189) | (~node4(s189))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10245, 10244])).
% 4.77/3.61 tff(10247,plain,
% 4.77/3.61 (~node4(s189)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10246, 35, 10171])).
% 4.77/3.61 tff(10248,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s189) | node4(s189) | (~until5(s189)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10249,plain,
% 4.77/3.61 ((node4(s189) | (~until5(s189)) | xuntil6(s189)) <=> (xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10250,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s189) | node4(s189) | (~until5(s189))))),
% 4.77/3.61 inference(monotonicity,[status(thm)],[10249])).
% 4.77/3.61 tff(10251,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189)))),
% 4.77/3.61 inference(transitivity,[status(thm)],[10250, 10248])).
% 4.77/3.61 tff(10252,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s189) | (~until5(s189)) | xuntil6(s189))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10253,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s189) | node4(s189) | (~until5(s189))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10252, 10251])).
% 4.77/3.61 tff(10254,plain,
% 4.77/3.61 (xuntil6(s189) | (~until5(s189))),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10253, 155, 10247])).
% 4.77/3.61 tff(10255,plain,
% 4.77/3.61 (xuntil6(s189)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10254, 10243])).
% 4.77/3.61 tff(10256,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10257,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10258,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s189, s190)) | (~xuntil6(s189)) | until5(s190)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10257, 10256])).
% 4.77/3.61 tff(10259,plain,
% 4.77/3.61 ((~xuntil6(s189)) | until5(s190)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10258, 5581, 173])).
% 4.77/3.61 tff(10260,plain,
% 4.77/3.61 (until5(s190)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10259, 10255])).
% 4.77/3.61 tff(10261,plain,
% 4.77/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10262,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s190) | (~node4(s190)))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10263,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s190) | (~node4(s190))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10262, 10261])).
% 4.77/3.61 tff(10264,plain,
% 4.77/3.61 (~node4(s190)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10263, 35, 10170])).
% 4.77/3.61 tff(10265,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s190) | node4(s190) | (~until5(s190)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10266,plain,
% 4.77/3.61 ((node4(s190) | (~until5(s190)) | xuntil6(s190)) <=> (xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10267,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s190) | (~until5(s190)) | xuntil6(s190))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s190) | node4(s190) | (~until5(s190))))),
% 4.77/3.61 inference(monotonicity,[status(thm)],[10266])).
% 4.77/3.61 tff(10268,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s190) | (~until5(s190)) | xuntil6(s190))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190)))),
% 4.77/3.61 inference(transitivity,[status(thm)],[10267, 10265])).
% 4.77/3.61 tff(10269,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s190) | (~until5(s190)) | xuntil6(s190))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10270,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s190) | node4(s190) | (~until5(s190))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10269, 10268])).
% 4.77/3.61 tff(10271,plain,
% 4.77/3.61 (xuntil6(s190) | (~until5(s190))),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10270, 155, 10264])).
% 4.77/3.61 tff(10272,plain,
% 4.77/3.61 (xuntil6(s190)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10271, 10260])).
% 4.77/3.61 tff(10273,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10274,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10275,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s190, s191)) | (~xuntil6(s190)) | until5(s191)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 4.77/3.61 tff(10276,plain,
% 4.77/3.61 ((~xuntil6(s190)) | until5(s191)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10275, 5569, 173])).
% 4.77/3.61 tff(10277,plain,
% 4.77/3.61 (until5(s191)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10276, 10272])).
% 4.77/3.61 tff(10278,plain,
% 4.77/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s191) | (~node4(s191)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s191) | (~node4(s191)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10279,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s191) | (~node4(s191)))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10280,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s191) | (~node4(s191))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10279, 10278])).
% 4.77/3.61 tff(10281,plain,
% 4.77/3.61 (~node4(s191)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10280, 35, 10169])).
% 4.77/3.61 tff(10282,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s191) | node4(s191) | (~until5(s191)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s191) | node4(s191) | (~until5(s191)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10283,plain,
% 4.77/3.61 ((node4(s191) | (~until5(s191)) | xuntil6(s191)) <=> (xuntil6(s191) | node4(s191) | (~until5(s191)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10284,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s191) | (~until5(s191)) | xuntil6(s191))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s191) | node4(s191) | (~until5(s191))))),
% 4.77/3.61 inference(monotonicity,[status(thm)],[10283])).
% 4.77/3.61 tff(10285,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s191) | (~until5(s191)) | xuntil6(s191))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s191) | node4(s191) | (~until5(s191)))),
% 4.77/3.61 inference(transitivity,[status(thm)],[10284, 10282])).
% 4.77/3.61 tff(10286,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s191) | (~until5(s191)) | xuntil6(s191))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10287,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s191) | node4(s191) | (~until5(s191))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10286, 10285])).
% 4.77/3.61 tff(10288,plain,
% 4.77/3.61 (xuntil6(s191) | (~until5(s191))),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10287, 155, 10281])).
% 4.77/3.61 tff(10289,plain,
% 4.77/3.61 (xuntil6(s191)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10288, 10277])).
% 4.77/3.61 tff(10290,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10291,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10292,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s191, s192)) | (~xuntil6(s191)) | until5(s192)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 4.77/3.61 tff(10293,plain,
% 4.77/3.61 ((~xuntil6(s191)) | until5(s192)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10292, 5557, 173])).
% 4.77/3.61 tff(10294,plain,
% 4.77/3.61 (until5(s192)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10293, 10289])).
% 4.77/3.61 tff(10295,plain,
% 4.77/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10296,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s192) | (~node4(s192)))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10297,plain,
% 4.77/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s192) | (~node4(s192))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10296, 10295])).
% 4.77/3.61 tff(10298,plain,
% 4.77/3.61 (~node4(s192)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10297, 35, 10168])).
% 4.77/3.61 tff(10299,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s192) | node4(s192) | (~until5(s192)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10300,plain,
% 4.77/3.61 ((node4(s192) | (~until5(s192)) | xuntil6(s192)) <=> (xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10301,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s192) | node4(s192) | (~until5(s192))))),
% 4.77/3.61 inference(monotonicity,[status(thm)],[10300])).
% 4.77/3.61 tff(10302,plain,
% 4.77/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192)))),
% 4.77/3.61 inference(transitivity,[status(thm)],[10301, 10299])).
% 4.77/3.61 tff(10303,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s192) | (~until5(s192)) | xuntil6(s192))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10304,plain,
% 4.77/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s192) | node4(s192) | (~until5(s192))),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10303, 10302])).
% 4.77/3.61 tff(10305,plain,
% 4.77/3.61 (xuntil6(s192) | (~until5(s192))),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10304, 155, 10298])).
% 4.77/3.61 tff(10306,plain,
% 4.77/3.61 (xuntil6(s192)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10305, 10294])).
% 4.77/3.61 tff(10307,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10308,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10309,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s192, s193)) | (~xuntil6(s192)) | until5(s193)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10308, 10307])).
% 4.77/3.61 tff(10310,plain,
% 4.77/3.61 ((~xuntil6(s192)) | until5(s193)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10309, 5545, 173])).
% 4.77/3.61 tff(10311,plain,
% 4.77/3.61 ($false),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10310, 10306, 10167])).
% 4.77/3.61 tff(10312,plain,(always3(s200) | (~until5(s185)) | xuntil6(s200)), inference(lemma,lemma(discharge,[]))).
% 4.77/3.61 tff(10313,plain,
% 4.77/3.61 (xuntil6(s200)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10312, 10028, 5458])).
% 4.77/3.61 tff(10314,plain,
% 4.77/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.77/3.61 tff(10315,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201))),
% 4.77/3.61 inference(quant_inst,[status(thm)],[])).
% 4.77/3.61 tff(10316,plain,
% 4.77/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s200, s201)) | (~xuntil6(s200)) | until5(s201)),
% 4.77/3.61 inference(modus_ponens,[status(thm)],[10315, 10314])).
% 4.77/3.61 tff(10317,plain,
% 4.77/3.61 ((~xuntil6(s200)) | until5(s201)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10316, 5449, 173])).
% 4.77/3.61 tff(10318,plain,
% 4.77/3.61 (until5(s201)),
% 4.77/3.61 inference(unit_resolution,[status(thm)],[10317, 10313])).
% 4.77/3.61 tff(10319,plain,
% 4.77/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s201) | (~node4(s201)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s201) | (~node4(s201)))),
% 4.77/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10320,plain,
% 4.85/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s201) | (~node4(s201)))),
% 4.85/3.61 inference(quant_inst,[status(thm)],[])).
% 4.85/3.61 tff(10321,plain,
% 4.85/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s201) | (~node4(s201))),
% 4.85/3.61 inference(modus_ponens,[status(thm)],[10320, 10319])).
% 4.85/3.61 tff(10322,plain,
% 4.85/3.61 (~node4(s201)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10321, 35, 5446])).
% 4.85/3.61 tff(10323,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s201) | node4(s201) | (~until5(s201)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s201) | node4(s201) | (~until5(s201)))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10324,plain,
% 4.85/3.61 ((node4(s201) | (~until5(s201)) | xuntil6(s201)) <=> (xuntil6(s201) | node4(s201) | (~until5(s201)))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10325,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s201) | (~until5(s201)) | xuntil6(s201))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s201) | node4(s201) | (~until5(s201))))),
% 4.85/3.61 inference(monotonicity,[status(thm)],[10324])).
% 4.85/3.61 tff(10326,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s201) | (~until5(s201)) | xuntil6(s201))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s201) | node4(s201) | (~until5(s201)))),
% 4.85/3.61 inference(transitivity,[status(thm)],[10325, 10323])).
% 4.85/3.61 tff(10327,plain,
% 4.85/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s201) | (~until5(s201)) | xuntil6(s201))),
% 4.85/3.61 inference(quant_inst,[status(thm)],[])).
% 4.85/3.61 tff(10328,plain,
% 4.85/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s201) | node4(s201) | (~until5(s201))),
% 4.85/3.61 inference(modus_ponens,[status(thm)],[10327, 10326])).
% 4.85/3.61 tff(10329,plain,
% 4.85/3.61 (xuntil6(s201) | (~until5(s201))),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10328, 155, 10322])).
% 4.85/3.61 tff(10330,plain,
% 4.85/3.61 (xuntil6(s201)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10329, 10318])).
% 4.85/3.61 tff(10331,plain,
% 4.85/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10332,plain,
% 4.85/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202))),
% 4.85/3.61 inference(quant_inst,[status(thm)],[])).
% 4.85/3.61 tff(10333,plain,
% 4.85/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s201, s202)) | (~xuntil6(s201)) | until5(s202)),
% 4.85/3.61 inference(modus_ponens,[status(thm)],[10332, 10331])).
% 4.85/3.61 tff(10334,plain,
% 4.85/3.61 ((~xuntil6(s201)) | until5(s202)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10333, 5437, 173])).
% 4.85/3.61 tff(10335,plain,
% 4.85/3.61 (until5(s202)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10334, 10330])).
% 4.85/3.61 tff(10336,assumption,(~always3(s220)), introduced(assumption)).
% 4.85/3.61 tff(10337,plain,
% 4.85/3.61 (~always3(s219)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[5229, 10336])).
% 4.85/3.61 tff(10338,plain,
% 4.85/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s219) | (~node4(s219)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s219) | (~node4(s219)))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10339,plain,
% 4.85/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s219) | (~node4(s219)))),
% 4.85/3.61 inference(quant_inst,[status(thm)],[])).
% 4.85/3.61 tff(10340,plain,
% 4.85/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s219) | (~node4(s219))),
% 4.85/3.61 inference(modus_ponens,[status(thm)],[10339, 10338])).
% 4.85/3.61 tff(10341,plain,
% 4.85/3.61 (~node4(s219)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10340, 35, 10337])).
% 4.85/3.61 tff(10342,plain,
% 4.85/3.61 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s220) | (~node4(s220)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s220) | (~node4(s220)))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10343,plain,
% 4.85/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s220) | (~node4(s220)))),
% 4.85/3.61 inference(quant_inst,[status(thm)],[])).
% 4.85/3.61 tff(10344,plain,
% 4.85/3.61 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s220) | (~node4(s220))),
% 4.85/3.61 inference(modus_ponens,[status(thm)],[10343, 10342])).
% 4.85/3.61 tff(10345,plain,
% 4.85/3.61 (~node4(s220)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10344, 35, 10336])).
% 4.85/3.61 tff(10346,assumption,(~xuntil6(s220)), introduced(assumption)).
% 4.85/3.61 tff(10347,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s220) | node4(s220) | (~until5(s220)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s220) | node4(s220) | (~until5(s220)))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10348,plain,
% 4.85/3.61 ((node4(s220) | (~until5(s220)) | xuntil6(s220)) <=> (xuntil6(s220) | node4(s220) | (~until5(s220)))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10349,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s220) | (~until5(s220)) | xuntil6(s220))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s220) | node4(s220) | (~until5(s220))))),
% 4.85/3.61 inference(monotonicity,[status(thm)],[10348])).
% 4.85/3.61 tff(10350,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s220) | (~until5(s220)) | xuntil6(s220))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s220) | node4(s220) | (~until5(s220)))),
% 4.85/3.61 inference(transitivity,[status(thm)],[10349, 10347])).
% 4.85/3.61 tff(10351,plain,
% 4.85/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s220) | (~until5(s220)) | xuntil6(s220))),
% 4.85/3.61 inference(quant_inst,[status(thm)],[])).
% 4.85/3.61 tff(10352,plain,
% 4.85/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s220) | node4(s220) | (~until5(s220))),
% 4.85/3.61 inference(modus_ponens,[status(thm)],[10351, 10350])).
% 4.85/3.61 tff(10353,plain,
% 4.85/3.61 (node4(s220) | (~until5(s220))),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10352, 155, 10346])).
% 4.85/3.61 tff(10354,plain,
% 4.85/3.61 (~until5(s220)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10353, 10345])).
% 4.85/3.61 tff(10355,plain,
% 4.85/3.61 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10356,plain,
% 4.85/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220))),
% 4.85/3.61 inference(quant_inst,[status(thm)],[])).
% 4.85/3.61 tff(10357,plain,
% 4.85/3.61 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s219, s220)) | (~xuntil6(s219)) | until5(s220)),
% 4.85/3.61 inference(modus_ponens,[status(thm)],[10356, 10355])).
% 4.85/3.61 tff(10358,plain,
% 4.85/3.61 ((~xuntil6(s219)) | until5(s220)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10357, 5221, 173])).
% 4.85/3.61 tff(10359,plain,
% 4.85/3.61 (~xuntil6(s219)),
% 4.85/3.61 inference(unit_resolution,[status(thm)],[10358, 10354])).
% 4.85/3.61 tff(10360,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s219) | node4(s219) | (~until5(s219)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s219) | node4(s219) | (~until5(s219)))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10361,plain,
% 4.85/3.61 ((node4(s219) | (~until5(s219)) | xuntil6(s219)) <=> (xuntil6(s219) | node4(s219) | (~until5(s219)))),
% 4.85/3.61 inference(rewrite,[status(thm)],[])).
% 4.85/3.61 tff(10362,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s219) | (~until5(s219)) | xuntil6(s219))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s219) | node4(s219) | (~until5(s219))))),
% 4.85/3.61 inference(monotonicity,[status(thm)],[10361])).
% 4.85/3.61 tff(10363,plain,
% 4.85/3.61 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s219) | (~until5(s219)) | xuntil6(s219))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s219) | node4(s219) | (~until5(s219)))),
% 4.85/3.61 inference(transitivity,[status(thm)],[10362, 10360])).
% 4.85/3.61 tff(10364,plain,
% 4.85/3.61 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s219) | (~until5(s219)) | xuntil6(s219))),
% 4.85/3.61 inference(quant_inst,[status(thm)],[])).
% 4.85/3.61 tff(10365,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s219) | node4(s219) | (~until5(s219))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10364, 10363])).
% 4.85/3.62 tff(10366,plain,
% 4.85/3.62 (~until5(s219)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10365, 155, 10359, 10341])).
% 4.85/3.62 tff(10367,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10368,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10369,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s218, s219)) | (~xuntil6(s218)) | until5(s219)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10368, 10367])).
% 4.85/3.62 tff(10370,plain,
% 4.85/3.62 ((~xuntil6(s218)) | until5(s219)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10369, 5233, 173])).
% 4.85/3.62 tff(10371,plain,
% 4.85/3.62 (~xuntil6(s218)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10370, 10366])).
% 4.85/3.62 tff(10372,plain,
% 4.85/3.62 (~always3(s218)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5241, 10337])).
% 4.85/3.62 tff(10373,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s218) | (~node4(s218)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s218) | (~node4(s218)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10374,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s218) | (~node4(s218)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10375,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s218) | (~node4(s218))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 4.85/3.62 tff(10376,plain,
% 4.85/3.62 (~node4(s218)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10375, 35, 10372])).
% 4.85/3.62 tff(10377,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s218) | node4(s218) | (~until5(s218)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s218) | node4(s218) | (~until5(s218)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10378,plain,
% 4.85/3.62 ((node4(s218) | (~until5(s218)) | xuntil6(s218)) <=> (xuntil6(s218) | node4(s218) | (~until5(s218)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10379,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s218) | (~until5(s218)) | xuntil6(s218))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s218) | node4(s218) | (~until5(s218))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10378])).
% 4.85/3.62 tff(10380,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s218) | (~until5(s218)) | xuntil6(s218))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s218) | node4(s218) | (~until5(s218)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10379, 10377])).
% 4.85/3.62 tff(10381,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s218) | (~until5(s218)) | xuntil6(s218))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10382,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s218) | node4(s218) | (~until5(s218))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10381, 10380])).
% 4.85/3.62 tff(10383,plain,
% 4.85/3.62 (xuntil6(s218) | (~until5(s218))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10382, 155, 10376])).
% 4.85/3.62 tff(10384,plain,
% 4.85/3.62 (~until5(s218)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10383, 10371])).
% 4.85/3.62 tff(10385,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10386,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10387,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s217, s218)) | (~xuntil6(s217)) | until5(s218)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10386, 10385])).
% 4.85/3.62 tff(10388,plain,
% 4.85/3.62 ((~xuntil6(s217)) | until5(s218)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10387, 5245, 173])).
% 4.85/3.62 tff(10389,plain,
% 4.85/3.62 (~xuntil6(s217)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10388, 10384])).
% 4.85/3.62 tff(10390,plain,
% 4.85/3.62 (~always3(s217)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5253, 10372])).
% 4.85/3.62 tff(10391,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s217) | (~node4(s217)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s217) | (~node4(s217)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10392,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s217) | (~node4(s217)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10393,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s217) | (~node4(s217))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10392, 10391])).
% 4.85/3.62 tff(10394,plain,
% 4.85/3.62 (~node4(s217)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10393, 35, 10390])).
% 4.85/3.62 tff(10395,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s217) | node4(s217) | (~until5(s217)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s217) | node4(s217) | (~until5(s217)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10396,plain,
% 4.85/3.62 ((node4(s217) | (~until5(s217)) | xuntil6(s217)) <=> (xuntil6(s217) | node4(s217) | (~until5(s217)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10397,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s217) | (~until5(s217)) | xuntil6(s217))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s217) | node4(s217) | (~until5(s217))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10396])).
% 4.85/3.62 tff(10398,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s217) | (~until5(s217)) | xuntil6(s217))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s217) | node4(s217) | (~until5(s217)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10397, 10395])).
% 4.85/3.62 tff(10399,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s217) | (~until5(s217)) | xuntil6(s217))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10400,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s217) | node4(s217) | (~until5(s217))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10399, 10398])).
% 4.85/3.62 tff(10401,plain,
% 4.85/3.62 (xuntil6(s217) | (~until5(s217))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10400, 155, 10394])).
% 4.85/3.62 tff(10402,plain,
% 4.85/3.62 (~until5(s217)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10401, 10389])).
% 4.85/3.62 tff(10403,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10404,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10405,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s216, s217)) | (~xuntil6(s216)) | until5(s217)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10404, 10403])).
% 4.85/3.62 tff(10406,plain,
% 4.85/3.62 ((~xuntil6(s216)) | until5(s217)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10405, 5257, 173])).
% 4.85/3.62 tff(10407,plain,
% 4.85/3.62 (~xuntil6(s216)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10406, 10402])).
% 4.85/3.62 tff(10408,plain,
% 4.85/3.62 (~always3(s216)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5265, 10390])).
% 4.85/3.62 tff(10409,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s216) | (~node4(s216)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s216) | (~node4(s216)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10410,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s216) | (~node4(s216)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10411,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s216) | (~node4(s216))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10410, 10409])).
% 4.85/3.62 tff(10412,plain,
% 4.85/3.62 (~node4(s216)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10411, 35, 10408])).
% 4.85/3.62 tff(10413,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s216) | node4(s216) | (~until5(s216)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s216) | node4(s216) | (~until5(s216)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10414,plain,
% 4.85/3.62 ((node4(s216) | (~until5(s216)) | xuntil6(s216)) <=> (xuntil6(s216) | node4(s216) | (~until5(s216)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10415,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s216) | (~until5(s216)) | xuntil6(s216))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s216) | node4(s216) | (~until5(s216))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10414])).
% 4.85/3.62 tff(10416,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s216) | (~until5(s216)) | xuntil6(s216))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s216) | node4(s216) | (~until5(s216)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10415, 10413])).
% 4.85/3.62 tff(10417,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s216) | (~until5(s216)) | xuntil6(s216))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10418,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s216) | node4(s216) | (~until5(s216))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10417, 10416])).
% 4.85/3.62 tff(10419,plain,
% 4.85/3.62 (xuntil6(s216) | (~until5(s216))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10418, 155, 10412])).
% 4.85/3.62 tff(10420,plain,
% 4.85/3.62 (~until5(s216)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10419, 10407])).
% 4.85/3.62 tff(10421,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10422,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10423,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s215, s216)) | (~xuntil6(s215)) | until5(s216)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10422, 10421])).
% 4.85/3.62 tff(10424,plain,
% 4.85/3.62 ((~xuntil6(s215)) | until5(s216)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10423, 5269, 173])).
% 4.85/3.62 tff(10425,plain,
% 4.85/3.62 (~xuntil6(s215)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10424, 10420])).
% 4.85/3.62 tff(10426,plain,
% 4.85/3.62 (~always3(s215)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5277, 10408])).
% 4.85/3.62 tff(10427,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s215) | (~node4(s215)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s215) | (~node4(s215)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10428,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s215) | (~node4(s215)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10429,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s215) | (~node4(s215))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10428, 10427])).
% 4.85/3.62 tff(10430,plain,
% 4.85/3.62 (~node4(s215)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10429, 35, 10426])).
% 4.85/3.62 tff(10431,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s215) | node4(s215) | (~until5(s215)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s215) | node4(s215) | (~until5(s215)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10432,plain,
% 4.85/3.62 ((node4(s215) | (~until5(s215)) | xuntil6(s215)) <=> (xuntil6(s215) | node4(s215) | (~until5(s215)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10433,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s215) | (~until5(s215)) | xuntil6(s215))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s215) | node4(s215) | (~until5(s215))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10432])).
% 4.85/3.62 tff(10434,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s215) | (~until5(s215)) | xuntil6(s215))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s215) | node4(s215) | (~until5(s215)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10433, 10431])).
% 4.85/3.62 tff(10435,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s215) | (~until5(s215)) | xuntil6(s215))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10436,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s215) | node4(s215) | (~until5(s215))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10435, 10434])).
% 4.85/3.62 tff(10437,plain,
% 4.85/3.62 (xuntil6(s215) | (~until5(s215))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10436, 155, 10430])).
% 4.85/3.62 tff(10438,plain,
% 4.85/3.62 (~until5(s215)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10437, 10425])).
% 4.85/3.62 tff(10439,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10440,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10441,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s214, s215)) | (~xuntil6(s214)) | until5(s215)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10440, 10439])).
% 4.85/3.62 tff(10442,plain,
% 4.85/3.62 ((~xuntil6(s214)) | until5(s215)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10441, 5281, 173])).
% 4.85/3.62 tff(10443,plain,
% 4.85/3.62 (~xuntil6(s214)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10442, 10438])).
% 4.85/3.62 tff(10444,plain,
% 4.85/3.62 (~always3(s214)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5289, 10426])).
% 4.85/3.62 tff(10445,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s214) | (~node4(s214)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s214) | (~node4(s214)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10446,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s214) | (~node4(s214)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10447,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s214) | (~node4(s214))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 4.85/3.62 tff(10448,plain,
% 4.85/3.62 (~node4(s214)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10447, 35, 10444])).
% 4.85/3.62 tff(10449,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s214) | node4(s214) | (~until5(s214)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s214) | node4(s214) | (~until5(s214)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10450,plain,
% 4.85/3.62 ((node4(s214) | (~until5(s214)) | xuntil6(s214)) <=> (xuntil6(s214) | node4(s214) | (~until5(s214)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10451,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s214) | (~until5(s214)) | xuntil6(s214))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s214) | node4(s214) | (~until5(s214))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10450])).
% 4.85/3.62 tff(10452,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s214) | (~until5(s214)) | xuntil6(s214))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s214) | node4(s214) | (~until5(s214)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10451, 10449])).
% 4.85/3.62 tff(10453,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s214) | (~until5(s214)) | xuntil6(s214))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10454,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s214) | node4(s214) | (~until5(s214))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10453, 10452])).
% 4.85/3.62 tff(10455,plain,
% 4.85/3.62 (xuntil6(s214) | (~until5(s214))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10454, 155, 10448])).
% 4.85/3.62 tff(10456,plain,
% 4.85/3.62 (~until5(s214)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10455, 10443])).
% 4.85/3.62 tff(10457,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10458,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10459,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s213, s214)) | (~xuntil6(s213)) | until5(s214)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 4.85/3.62 tff(10460,plain,
% 4.85/3.62 ((~xuntil6(s213)) | until5(s214)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10459, 5293, 173])).
% 4.85/3.62 tff(10461,plain,
% 4.85/3.62 (~xuntil6(s213)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10460, 10456])).
% 4.85/3.62 tff(10462,plain,
% 4.85/3.62 (~always3(s213)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5301, 10444])).
% 4.85/3.62 tff(10463,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s213) | (~node4(s213)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s213) | (~node4(s213)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10464,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s213) | (~node4(s213)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10465,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s213) | (~node4(s213))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10464, 10463])).
% 4.85/3.62 tff(10466,plain,
% 4.85/3.62 (~node4(s213)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10465, 35, 10462])).
% 4.85/3.62 tff(10467,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s213) | node4(s213) | (~until5(s213)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s213) | node4(s213) | (~until5(s213)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10468,plain,
% 4.85/3.62 ((node4(s213) | (~until5(s213)) | xuntil6(s213)) <=> (xuntil6(s213) | node4(s213) | (~until5(s213)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10469,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s213) | (~until5(s213)) | xuntil6(s213))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s213) | node4(s213) | (~until5(s213))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10468])).
% 4.85/3.62 tff(10470,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s213) | (~until5(s213)) | xuntil6(s213))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s213) | node4(s213) | (~until5(s213)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10469, 10467])).
% 4.85/3.62 tff(10471,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s213) | (~until5(s213)) | xuntil6(s213))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10472,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s213) | node4(s213) | (~until5(s213))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10471, 10470])).
% 4.85/3.62 tff(10473,plain,
% 4.85/3.62 (xuntil6(s213) | (~until5(s213))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10472, 155, 10466])).
% 4.85/3.62 tff(10474,plain,
% 4.85/3.62 (~until5(s213)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10473, 10461])).
% 4.85/3.62 tff(10475,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10476,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10477,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s212, s213)) | (~xuntil6(s212)) | until5(s213)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10476, 10475])).
% 4.85/3.62 tff(10478,plain,
% 4.85/3.62 ((~xuntil6(s212)) | until5(s213)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10477, 5305, 173])).
% 4.85/3.62 tff(10479,plain,
% 4.85/3.62 (~xuntil6(s212)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10478, 10474])).
% 4.85/3.62 tff(10480,plain,
% 4.85/3.62 (~always3(s212)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5313, 10462])).
% 4.85/3.62 tff(10481,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s212) | (~node4(s212)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s212) | (~node4(s212)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10482,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s212) | (~node4(s212)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10483,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s212) | (~node4(s212))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 4.85/3.62 tff(10484,plain,
% 4.85/3.62 (~node4(s212)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10483, 35, 10480])).
% 4.85/3.62 tff(10485,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s212) | node4(s212) | (~until5(s212)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s212) | node4(s212) | (~until5(s212)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10486,plain,
% 4.85/3.62 ((node4(s212) | (~until5(s212)) | xuntil6(s212)) <=> (xuntil6(s212) | node4(s212) | (~until5(s212)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10487,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s212) | (~until5(s212)) | xuntil6(s212))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s212) | node4(s212) | (~until5(s212))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10486])).
% 4.85/3.62 tff(10488,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s212) | (~until5(s212)) | xuntil6(s212))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s212) | node4(s212) | (~until5(s212)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10487, 10485])).
% 4.85/3.62 tff(10489,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s212) | (~until5(s212)) | xuntil6(s212))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10490,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s212) | node4(s212) | (~until5(s212))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10489, 10488])).
% 4.85/3.62 tff(10491,plain,
% 4.85/3.62 (xuntil6(s212) | (~until5(s212))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10490, 155, 10484])).
% 4.85/3.62 tff(10492,plain,
% 4.85/3.62 (~until5(s212)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10491, 10479])).
% 4.85/3.62 tff(10493,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10494,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10495,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s211, s212)) | (~xuntil6(s211)) | until5(s212)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10494, 10493])).
% 4.85/3.62 tff(10496,plain,
% 4.85/3.62 ((~xuntil6(s211)) | until5(s212)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10495, 5317, 173])).
% 4.85/3.62 tff(10497,plain,
% 4.85/3.62 (~xuntil6(s211)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10496, 10492])).
% 4.85/3.62 tff(10498,plain,
% 4.85/3.62 (~always3(s211)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5325, 10480])).
% 4.85/3.62 tff(10499,plain,
% 4.85/3.62 (~always3(s210)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5337, 10498])).
% 4.85/3.62 tff(10500,plain,
% 4.85/3.62 (~always3(s209)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5349, 10499])).
% 4.85/3.62 tff(10501,plain,
% 4.85/3.62 (~always3(s208)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5361, 10500])).
% 4.85/3.62 tff(10502,plain,
% 4.85/3.62 (~always3(s207)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5373, 10501])).
% 4.85/3.62 tff(10503,plain,
% 4.85/3.62 (~always3(s206)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5385, 10502])).
% 4.85/3.62 tff(10504,plain,
% 4.85/3.62 (~always3(s205)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5397, 10503])).
% 4.85/3.62 tff(10505,plain,
% 4.85/3.62 (~always3(s204)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5409, 10504])).
% 4.85/3.62 tff(10506,plain,
% 4.85/3.62 (~always3(s203)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5421, 10505])).
% 4.85/3.62 tff(10507,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s203) | (~node4(s203)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s203) | (~node4(s203)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10508,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s203) | (~node4(s203)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10509,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s203) | (~node4(s203))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10508, 10507])).
% 4.85/3.62 tff(10510,plain,
% 4.85/3.62 (~node4(s203)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10509, 35, 10506])).
% 4.85/3.62 tff(10511,plain,
% 4.85/3.62 (~always3(s202)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[5433, 10506])).
% 4.85/3.62 tff(10512,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s202) | (~node4(s202)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s202) | (~node4(s202)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10513,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s202) | (~node4(s202)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10514,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s202) | (~node4(s202))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10513, 10512])).
% 4.85/3.62 tff(10515,plain,
% 4.85/3.62 (~node4(s202)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10514, 35, 10511])).
% 4.85/3.62 tff(10516,assumption,(until5(s202)), introduced(assumption)).
% 4.85/3.62 tff(10517,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s202) | node4(s202) | (~until5(s202)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10518,plain,
% 4.85/3.62 ((node4(s202) | (~until5(s202)) | xuntil6(s202)) <=> (xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10519,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s202) | node4(s202) | (~until5(s202))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10518])).
% 4.85/3.62 tff(10520,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10519, 10517])).
% 4.85/3.62 tff(10521,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s202) | (~until5(s202)) | xuntil6(s202))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10522,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s202) | node4(s202) | (~until5(s202))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10521, 10520])).
% 4.85/3.62 tff(10523,plain,
% 4.85/3.62 (xuntil6(s202) | node4(s202)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10522, 155, 10516])).
% 4.85/3.62 tff(10524,plain,
% 4.85/3.62 (xuntil6(s202)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10523, 10515])).
% 4.85/3.62 tff(10525,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10526,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10527,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s202, s203)) | (~xuntil6(s202)) | until5(s203)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10526, 10525])).
% 4.85/3.62 tff(10528,plain,
% 4.85/3.62 ((~xuntil6(s202)) | until5(s203)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10527, 5425, 173])).
% 4.85/3.62 tff(10529,plain,
% 4.85/3.62 (until5(s203)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10528, 10524])).
% 4.85/3.62 tff(10530,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s203) | node4(s203) | (~until5(s203)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10531,plain,
% 4.85/3.62 ((node4(s203) | (~until5(s203)) | xuntil6(s203)) <=> (xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10532,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s203) | node4(s203) | (~until5(s203))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10531])).
% 4.85/3.62 tff(10533,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10532, 10530])).
% 4.85/3.62 tff(10534,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s203) | (~until5(s203)) | xuntil6(s203))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10535,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s203) | node4(s203) | (~until5(s203))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 4.85/3.62 tff(10536,plain,
% 4.85/3.62 (xuntil6(s203)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10535, 155, 10529, 10510])).
% 4.85/3.62 tff(10537,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10538,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10539,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s203, s204)) | (~xuntil6(s203)) | until5(s204)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 4.85/3.62 tff(10540,plain,
% 4.85/3.62 ((~xuntil6(s203)) | until5(s204)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10539, 5413, 173])).
% 4.85/3.62 tff(10541,plain,
% 4.85/3.62 (until5(s204)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10540, 10536])).
% 4.85/3.62 tff(10542,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s204) | (~node4(s204)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s204) | (~node4(s204)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10543,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s204) | (~node4(s204)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10544,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s204) | (~node4(s204))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 4.85/3.62 tff(10545,plain,
% 4.85/3.62 (~node4(s204)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10544, 35, 10505])).
% 4.85/3.62 tff(10546,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s204) | node4(s204) | (~until5(s204)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10547,plain,
% 4.85/3.62 ((node4(s204) | (~until5(s204)) | xuntil6(s204)) <=> (xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10548,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s204) | node4(s204) | (~until5(s204))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10547])).
% 4.85/3.62 tff(10549,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10548, 10546])).
% 4.85/3.62 tff(10550,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s204) | (~until5(s204)) | xuntil6(s204))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10551,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s204) | node4(s204) | (~until5(s204))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 4.85/3.62 tff(10552,plain,
% 4.85/3.62 (xuntil6(s204) | (~until5(s204))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10551, 155, 10545])).
% 4.85/3.62 tff(10553,plain,
% 4.85/3.62 (xuntil6(s204)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10552, 10541])).
% 4.85/3.62 tff(10554,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10555,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10556,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s204, s205)) | (~xuntil6(s204)) | until5(s205)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10555, 10554])).
% 4.85/3.62 tff(10557,plain,
% 4.85/3.62 ((~xuntil6(s204)) | until5(s205)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10556, 5401, 173])).
% 4.85/3.62 tff(10558,plain,
% 4.85/3.62 (until5(s205)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10557, 10553])).
% 4.85/3.62 tff(10559,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s205) | (~node4(s205)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s205) | (~node4(s205)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10560,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s205) | (~node4(s205)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10561,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s205) | (~node4(s205))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10560, 10559])).
% 4.85/3.62 tff(10562,plain,
% 4.85/3.62 (~node4(s205)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10561, 35, 10504])).
% 4.85/3.62 tff(10563,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s205) | node4(s205) | (~until5(s205)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10564,plain,
% 4.85/3.62 ((node4(s205) | (~until5(s205)) | xuntil6(s205)) <=> (xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10565,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s205) | node4(s205) | (~until5(s205))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10564])).
% 4.85/3.62 tff(10566,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10565, 10563])).
% 4.85/3.62 tff(10567,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s205) | (~until5(s205)) | xuntil6(s205))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10568,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s205) | node4(s205) | (~until5(s205))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10567, 10566])).
% 4.85/3.62 tff(10569,plain,
% 4.85/3.62 (xuntil6(s205) | (~until5(s205))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10568, 155, 10562])).
% 4.85/3.62 tff(10570,plain,
% 4.85/3.62 (xuntil6(s205)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10569, 10558])).
% 4.85/3.62 tff(10571,plain,
% 4.85/3.62 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10572,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10573,plain,
% 4.85/3.62 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s205, s206)) | (~xuntil6(s205)) | until5(s206)),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10572, 10571])).
% 4.85/3.62 tff(10574,plain,
% 4.85/3.62 ((~xuntil6(s205)) | until5(s206)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10573, 5389, 173])).
% 4.85/3.62 tff(10575,plain,
% 4.85/3.62 (until5(s206)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10574, 10570])).
% 4.85/3.62 tff(10576,plain,
% 4.85/3.62 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s206) | (~node4(s206)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s206) | (~node4(s206)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10577,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s206) | (~node4(s206)))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10578,plain,
% 4.85/3.62 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s206) | (~node4(s206))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10577, 10576])).
% 4.85/3.62 tff(10579,plain,
% 4.85/3.62 (~node4(s206)),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10578, 35, 10503])).
% 4.85/3.62 tff(10580,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s206) | node4(s206) | (~until5(s206)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s206) | node4(s206) | (~until5(s206)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10581,plain,
% 4.85/3.62 ((node4(s206) | (~until5(s206)) | xuntil6(s206)) <=> (xuntil6(s206) | node4(s206) | (~until5(s206)))),
% 4.85/3.62 inference(rewrite,[status(thm)],[])).
% 4.85/3.62 tff(10582,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s206) | (~until5(s206)) | xuntil6(s206))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s206) | node4(s206) | (~until5(s206))))),
% 4.85/3.62 inference(monotonicity,[status(thm)],[10581])).
% 4.85/3.62 tff(10583,plain,
% 4.85/3.62 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s206) | (~until5(s206)) | xuntil6(s206))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s206) | node4(s206) | (~until5(s206)))),
% 4.85/3.62 inference(transitivity,[status(thm)],[10582, 10580])).
% 4.85/3.62 tff(10584,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s206) | (~until5(s206)) | xuntil6(s206))),
% 4.85/3.62 inference(quant_inst,[status(thm)],[])).
% 4.85/3.62 tff(10585,plain,
% 4.85/3.62 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s206) | node4(s206) | (~until5(s206))),
% 4.85/3.62 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 4.85/3.62 tff(10586,plain,
% 4.85/3.62 (xuntil6(s206) | (~until5(s206))),
% 4.85/3.62 inference(unit_resolution,[status(thm)],[10585, 155, 10579])).
% 4.85/3.62 tff(10587,plain,
% 4.85/3.62 (xuntil6(s206)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10586, 10575])).
% 4.85/3.63 tff(10588,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10589,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10590,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s206, s207)) | (~xuntil6(s206)) | until5(s207)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10589, 10588])).
% 4.85/3.63 tff(10591,plain,
% 4.85/3.63 ((~xuntil6(s206)) | until5(s207)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10590, 5377, 173])).
% 4.85/3.63 tff(10592,plain,
% 4.85/3.63 (until5(s207)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10591, 10587])).
% 4.85/3.63 tff(10593,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s207) | (~node4(s207)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s207) | (~node4(s207)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10594,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s207) | (~node4(s207)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10595,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s207) | (~node4(s207))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10594, 10593])).
% 4.85/3.63 tff(10596,plain,
% 4.85/3.63 (~node4(s207)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10595, 35, 10502])).
% 4.85/3.63 tff(10597,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s207) | node4(s207) | (~until5(s207)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s207) | node4(s207) | (~until5(s207)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10598,plain,
% 4.85/3.63 ((node4(s207) | (~until5(s207)) | xuntil6(s207)) <=> (xuntil6(s207) | node4(s207) | (~until5(s207)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10599,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s207) | (~until5(s207)) | xuntil6(s207))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s207) | node4(s207) | (~until5(s207))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10598])).
% 4.85/3.63 tff(10600,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s207) | (~until5(s207)) | xuntil6(s207))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s207) | node4(s207) | (~until5(s207)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10599, 10597])).
% 4.85/3.63 tff(10601,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s207) | (~until5(s207)) | xuntil6(s207))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10602,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s207) | node4(s207) | (~until5(s207))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10601, 10600])).
% 4.85/3.63 tff(10603,plain,
% 4.85/3.63 (xuntil6(s207) | (~until5(s207))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10602, 155, 10596])).
% 4.85/3.63 tff(10604,plain,
% 4.85/3.63 (xuntil6(s207)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10603, 10592])).
% 4.85/3.63 tff(10605,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10606,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10607,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s207, s208)) | (~xuntil6(s207)) | until5(s208)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10606, 10605])).
% 4.85/3.63 tff(10608,plain,
% 4.85/3.63 ((~xuntil6(s207)) | until5(s208)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10607, 5365, 173])).
% 4.85/3.63 tff(10609,plain,
% 4.85/3.63 (until5(s208)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10608, 10604])).
% 4.85/3.63 tff(10610,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s208) | (~node4(s208)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s208) | (~node4(s208)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10611,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s208) | (~node4(s208)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10612,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s208) | (~node4(s208))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10611, 10610])).
% 4.85/3.63 tff(10613,plain,
% 4.85/3.63 (~node4(s208)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10612, 35, 10501])).
% 4.85/3.63 tff(10614,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s208) | node4(s208) | (~until5(s208)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s208) | node4(s208) | (~until5(s208)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10615,plain,
% 4.85/3.63 ((node4(s208) | (~until5(s208)) | xuntil6(s208)) <=> (xuntil6(s208) | node4(s208) | (~until5(s208)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10616,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s208) | (~until5(s208)) | xuntil6(s208))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s208) | node4(s208) | (~until5(s208))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10615])).
% 4.85/3.63 tff(10617,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s208) | (~until5(s208)) | xuntil6(s208))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s208) | node4(s208) | (~until5(s208)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10616, 10614])).
% 4.85/3.63 tff(10618,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s208) | (~until5(s208)) | xuntil6(s208))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10619,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s208) | node4(s208) | (~until5(s208))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10618, 10617])).
% 4.85/3.63 tff(10620,plain,
% 4.85/3.63 (xuntil6(s208) | (~until5(s208))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10619, 155, 10613])).
% 4.85/3.63 tff(10621,plain,
% 4.85/3.63 (xuntil6(s208)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10620, 10609])).
% 4.85/3.63 tff(10622,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10623,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10624,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s208, s209)) | (~xuntil6(s208)) | until5(s209)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10623, 10622])).
% 4.85/3.63 tff(10625,plain,
% 4.85/3.63 ((~xuntil6(s208)) | until5(s209)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10624, 5353, 173])).
% 4.85/3.63 tff(10626,plain,
% 4.85/3.63 (until5(s209)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10625, 10621])).
% 4.85/3.63 tff(10627,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s209) | (~node4(s209)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s209) | (~node4(s209)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10628,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s209) | (~node4(s209)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10629,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s209) | (~node4(s209))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10628, 10627])).
% 4.85/3.63 tff(10630,plain,
% 4.85/3.63 (~node4(s209)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10629, 35, 10500])).
% 4.85/3.63 tff(10631,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s209) | node4(s209) | (~until5(s209)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s209) | node4(s209) | (~until5(s209)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10632,plain,
% 4.85/3.63 ((node4(s209) | (~until5(s209)) | xuntil6(s209)) <=> (xuntil6(s209) | node4(s209) | (~until5(s209)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10633,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s209) | (~until5(s209)) | xuntil6(s209))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s209) | node4(s209) | (~until5(s209))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10632])).
% 4.85/3.63 tff(10634,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s209) | (~until5(s209)) | xuntil6(s209))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s209) | node4(s209) | (~until5(s209)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10633, 10631])).
% 4.85/3.63 tff(10635,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s209) | (~until5(s209)) | xuntil6(s209))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10636,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s209) | node4(s209) | (~until5(s209))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10635, 10634])).
% 4.85/3.63 tff(10637,plain,
% 4.85/3.63 (xuntil6(s209) | (~until5(s209))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10636, 155, 10630])).
% 4.85/3.63 tff(10638,plain,
% 4.85/3.63 (xuntil6(s209)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10637, 10626])).
% 4.85/3.63 tff(10639,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10640,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10641,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s209, s210)) | (~xuntil6(s209)) | until5(s210)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10640, 10639])).
% 4.85/3.63 tff(10642,plain,
% 4.85/3.63 ((~xuntil6(s209)) | until5(s210)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10641, 5341, 173])).
% 4.85/3.63 tff(10643,plain,
% 4.85/3.63 (until5(s210)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10642, 10638])).
% 4.85/3.63 tff(10644,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s210) | (~node4(s210)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s210) | (~node4(s210)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10645,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s210) | (~node4(s210)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10646,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s210) | (~node4(s210))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10645, 10644])).
% 4.85/3.63 tff(10647,plain,
% 4.85/3.63 (~node4(s210)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10646, 35, 10499])).
% 4.85/3.63 tff(10648,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s210) | node4(s210) | (~until5(s210)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s210) | node4(s210) | (~until5(s210)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10649,plain,
% 4.85/3.63 ((node4(s210) | (~until5(s210)) | xuntil6(s210)) <=> (xuntil6(s210) | node4(s210) | (~until5(s210)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10650,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s210) | (~until5(s210)) | xuntil6(s210))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s210) | node4(s210) | (~until5(s210))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10649])).
% 4.85/3.63 tff(10651,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s210) | (~until5(s210)) | xuntil6(s210))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s210) | node4(s210) | (~until5(s210)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10650, 10648])).
% 4.85/3.63 tff(10652,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s210) | (~until5(s210)) | xuntil6(s210))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10653,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s210) | node4(s210) | (~until5(s210))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10652, 10651])).
% 4.85/3.63 tff(10654,plain,
% 4.85/3.63 (xuntil6(s210) | (~until5(s210))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10653, 155, 10647])).
% 4.85/3.63 tff(10655,plain,
% 4.85/3.63 (xuntil6(s210)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10654, 10643])).
% 4.85/3.63 tff(10656,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10657,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10658,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s210, s211)) | (~xuntil6(s210)) | until5(s211)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10657, 10656])).
% 4.85/3.63 tff(10659,plain,
% 4.85/3.63 ((~xuntil6(s210)) | until5(s211)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10658, 5329, 173])).
% 4.85/3.63 tff(10660,plain,
% 4.85/3.63 (until5(s211)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10659, 10655])).
% 4.85/3.63 tff(10661,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s211) | (~node4(s211)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s211) | (~node4(s211)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10662,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s211) | (~node4(s211)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10663,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s211) | (~node4(s211))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10662, 10661])).
% 4.85/3.63 tff(10664,plain,
% 4.85/3.63 (~node4(s211)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10663, 35, 10498])).
% 4.85/3.63 tff(10665,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s211) | node4(s211) | (~until5(s211)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s211) | node4(s211) | (~until5(s211)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10666,plain,
% 4.85/3.63 ((node4(s211) | (~until5(s211)) | xuntil6(s211)) <=> (xuntil6(s211) | node4(s211) | (~until5(s211)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10667,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s211) | (~until5(s211)) | xuntil6(s211))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s211) | node4(s211) | (~until5(s211))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10666])).
% 4.85/3.63 tff(10668,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s211) | (~until5(s211)) | xuntil6(s211))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s211) | node4(s211) | (~until5(s211)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10667, 10665])).
% 4.85/3.63 tff(10669,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s211) | (~until5(s211)) | xuntil6(s211))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10670,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s211) | node4(s211) | (~until5(s211))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10669, 10668])).
% 4.85/3.63 tff(10671,plain,
% 4.85/3.63 (xuntil6(s211) | (~until5(s211))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10670, 155, 10664])).
% 4.85/3.63 tff(10672,plain,
% 4.85/3.63 ($false),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10671, 10660, 10497])).
% 4.85/3.63 tff(10673,plain,(always3(s220) | (~until5(s202)) | xuntil6(s220)), inference(lemma,lemma(discharge,[]))).
% 4.85/3.63 tff(10674,plain,
% 4.85/3.63 (xuntil6(s220)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10673, 10335, 5218])).
% 4.85/3.63 tff(10675,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10676,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10677,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s220, s221)) | (~xuntil6(s220)) | until5(s221)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10676, 10675])).
% 4.85/3.63 tff(10678,plain,
% 4.85/3.63 ((~xuntil6(s220)) | until5(s221)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10677, 5209, 173])).
% 4.85/3.63 tff(10679,plain,
% 4.85/3.63 (until5(s221)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10678, 10674])).
% 4.85/3.63 tff(10680,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s221) | (~node4(s221)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s221) | (~node4(s221)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10681,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s221) | (~node4(s221)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10682,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s221) | (~node4(s221))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10681, 10680])).
% 4.85/3.63 tff(10683,plain,
% 4.85/3.63 (~node4(s221)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10682, 35, 5206])).
% 4.85/3.63 tff(10684,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s221) | node4(s221) | (~until5(s221)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10685,plain,
% 4.85/3.63 ((node4(s221) | (~until5(s221)) | xuntil6(s221)) <=> (xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10686,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s221) | node4(s221) | (~until5(s221))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10685])).
% 4.85/3.63 tff(10687,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10686, 10684])).
% 4.85/3.63 tff(10688,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s221) | (~until5(s221)) | xuntil6(s221))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10689,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s221) | node4(s221) | (~until5(s221))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 4.85/3.63 tff(10690,plain,
% 4.85/3.63 (xuntil6(s221) | (~until5(s221))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10689, 155, 10683])).
% 4.85/3.63 tff(10691,plain,
% 4.85/3.63 (xuntil6(s221)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10690, 10679])).
% 4.85/3.63 tff(10692,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10693,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10694,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s221, s222)) | (~xuntil6(s221)) | until5(s222)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10693, 10692])).
% 4.85/3.63 tff(10695,plain,
% 4.85/3.63 ((~xuntil6(s221)) | until5(s222)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10694, 5197, 173])).
% 4.85/3.63 tff(10696,plain,
% 4.85/3.63 (until5(s222)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10695, 10691])).
% 4.85/3.63 tff(10697,assumption,(~always3(s235)), introduced(assumption)).
% 4.85/3.63 tff(10698,plain,
% 4.85/3.63 (~always3(s234)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[5049, 10697])).
% 4.85/3.63 tff(10699,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s234) | (~node4(s234)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s234) | (~node4(s234)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10700,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s234) | (~node4(s234)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10701,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s234) | (~node4(s234))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10700, 10699])).
% 4.85/3.63 tff(10702,plain,
% 4.85/3.63 (~node4(s234)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10701, 35, 10698])).
% 4.85/3.63 tff(10703,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s235) | (~node4(s235)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s235) | (~node4(s235)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10704,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s235) | (~node4(s235)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10705,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s235) | (~node4(s235))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10704, 10703])).
% 4.85/3.63 tff(10706,plain,
% 4.85/3.63 (~node4(s235)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10705, 35, 10697])).
% 4.85/3.63 tff(10707,assumption,(~xuntil6(s235)), introduced(assumption)).
% 4.85/3.63 tff(10708,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s235) | node4(s235) | (~until5(s235)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s235) | node4(s235) | (~until5(s235)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10709,plain,
% 4.85/3.63 ((node4(s235) | (~until5(s235)) | xuntil6(s235)) <=> (xuntil6(s235) | node4(s235) | (~until5(s235)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10710,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s235) | (~until5(s235)) | xuntil6(s235))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s235) | node4(s235) | (~until5(s235))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10709])).
% 4.85/3.63 tff(10711,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s235) | (~until5(s235)) | xuntil6(s235))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s235) | node4(s235) | (~until5(s235)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10710, 10708])).
% 4.85/3.63 tff(10712,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s235) | (~until5(s235)) | xuntil6(s235))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10713,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s235) | node4(s235) | (~until5(s235))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10712, 10711])).
% 4.85/3.63 tff(10714,plain,
% 4.85/3.63 (node4(s235) | (~until5(s235))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10713, 155, 10707])).
% 4.85/3.63 tff(10715,plain,
% 4.85/3.63 (~until5(s235)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10714, 10706])).
% 4.85/3.63 tff(10716,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10717,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10718,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s234, s235)) | (~xuntil6(s234)) | until5(s235)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 4.85/3.63 tff(10719,plain,
% 4.85/3.63 ((~xuntil6(s234)) | until5(s235)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10718, 5041, 173])).
% 4.85/3.63 tff(10720,plain,
% 4.85/3.63 (~xuntil6(s234)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10719, 10715])).
% 4.85/3.63 tff(10721,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s234) | node4(s234) | (~until5(s234)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10722,plain,
% 4.85/3.63 ((node4(s234) | (~until5(s234)) | xuntil6(s234)) <=> (xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10723,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s234) | node4(s234) | (~until5(s234))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10722])).
% 4.85/3.63 tff(10724,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10723, 10721])).
% 4.85/3.63 tff(10725,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s234) | (~until5(s234)) | xuntil6(s234))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10726,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s234) | node4(s234) | (~until5(s234))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10725, 10724])).
% 4.85/3.63 tff(10727,plain,
% 4.85/3.63 (~until5(s234)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10726, 155, 10720, 10702])).
% 4.85/3.63 tff(10728,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10729,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10730,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s233, s234)) | (~xuntil6(s233)) | until5(s234)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10729, 10728])).
% 4.85/3.63 tff(10731,plain,
% 4.85/3.63 ((~xuntil6(s233)) | until5(s234)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10730, 5053, 173])).
% 4.85/3.63 tff(10732,plain,
% 4.85/3.63 (~xuntil6(s233)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10731, 10727])).
% 4.85/3.63 tff(10733,plain,
% 4.85/3.63 (~always3(s233)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[5061, 10698])).
% 4.85/3.63 tff(10734,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s233) | (~node4(s233)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s233) | (~node4(s233)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10735,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s233) | (~node4(s233)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10736,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s233) | (~node4(s233))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10735, 10734])).
% 4.85/3.63 tff(10737,plain,
% 4.85/3.63 (~node4(s233)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10736, 35, 10733])).
% 4.85/3.63 tff(10738,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s233) | node4(s233) | (~until5(s233)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10739,plain,
% 4.85/3.63 ((node4(s233) | (~until5(s233)) | xuntil6(s233)) <=> (xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10740,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s233) | node4(s233) | (~until5(s233))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10739])).
% 4.85/3.63 tff(10741,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10740, 10738])).
% 4.85/3.63 tff(10742,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s233) | (~until5(s233)) | xuntil6(s233))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10743,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s233) | node4(s233) | (~until5(s233))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10742, 10741])).
% 4.85/3.63 tff(10744,plain,
% 4.85/3.63 (xuntil6(s233) | (~until5(s233))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10743, 155, 10737])).
% 4.85/3.63 tff(10745,plain,
% 4.85/3.63 (~until5(s233)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10744, 10732])).
% 4.85/3.63 tff(10746,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10747,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10748,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s232, s233)) | (~xuntil6(s232)) | until5(s233)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10747, 10746])).
% 4.85/3.63 tff(10749,plain,
% 4.85/3.63 ((~xuntil6(s232)) | until5(s233)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10748, 5065, 173])).
% 4.85/3.63 tff(10750,plain,
% 4.85/3.63 (~xuntil6(s232)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10749, 10745])).
% 4.85/3.63 tff(10751,plain,
% 4.85/3.63 (~always3(s232)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[5073, 10733])).
% 4.85/3.63 tff(10752,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s232) | (~node4(s232)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s232) | (~node4(s232)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10753,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s232) | (~node4(s232)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10754,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s232) | (~node4(s232))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10753, 10752])).
% 4.85/3.63 tff(10755,plain,
% 4.85/3.63 (~node4(s232)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10754, 35, 10751])).
% 4.85/3.63 tff(10756,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s232) | node4(s232) | (~until5(s232)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10757,plain,
% 4.85/3.63 ((node4(s232) | (~until5(s232)) | xuntil6(s232)) <=> (xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10758,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s232) | node4(s232) | (~until5(s232))))),
% 4.85/3.63 inference(monotonicity,[status(thm)],[10757])).
% 4.85/3.63 tff(10759,plain,
% 4.85/3.63 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232)))),
% 4.85/3.63 inference(transitivity,[status(thm)],[10758, 10756])).
% 4.85/3.63 tff(10760,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s232) | (~until5(s232)) | xuntil6(s232))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10761,plain,
% 4.85/3.63 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s232) | node4(s232) | (~until5(s232))),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10760, 10759])).
% 4.85/3.63 tff(10762,plain,
% 4.85/3.63 (xuntil6(s232) | (~until5(s232))),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10761, 155, 10755])).
% 4.85/3.63 tff(10763,plain,
% 4.85/3.63 (~until5(s232)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10762, 10750])).
% 4.85/3.63 tff(10764,plain,
% 4.85/3.63 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10765,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10766,plain,
% 4.85/3.63 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s231, s232)) | (~xuntil6(s231)) | until5(s232)),
% 4.85/3.63 inference(modus_ponens,[status(thm)],[10765, 10764])).
% 4.85/3.63 tff(10767,plain,
% 4.85/3.63 ((~xuntil6(s231)) | until5(s232)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10766, 5077, 173])).
% 4.85/3.63 tff(10768,plain,
% 4.85/3.63 (~xuntil6(s231)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[10767, 10763])).
% 4.85/3.63 tff(10769,plain,
% 4.85/3.63 (~always3(s231)),
% 4.85/3.63 inference(unit_resolution,[status(thm)],[5085, 10751])).
% 4.85/3.63 tff(10770,plain,
% 4.85/3.63 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s231) | (~node4(s231)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s231) | (~node4(s231)))),
% 4.85/3.63 inference(rewrite,[status(thm)],[])).
% 4.85/3.63 tff(10771,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s231) | (~node4(s231)))),
% 4.85/3.63 inference(quant_inst,[status(thm)],[])).
% 4.85/3.63 tff(10772,plain,
% 4.85/3.63 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s231) | (~node4(s231))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 4.85/3.64 tff(10773,plain,
% 4.85/3.64 (~node4(s231)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10772, 35, 10769])).
% 4.85/3.64 tff(10774,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s231) | node4(s231) | (~until5(s231)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10775,plain,
% 4.85/3.64 ((node4(s231) | (~until5(s231)) | xuntil6(s231)) <=> (xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10776,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s231) | node4(s231) | (~until5(s231))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10775])).
% 4.85/3.64 tff(10777,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10776, 10774])).
% 4.85/3.64 tff(10778,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s231) | (~until5(s231)) | xuntil6(s231))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10779,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s231) | node4(s231) | (~until5(s231))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10778, 10777])).
% 4.85/3.64 tff(10780,plain,
% 4.85/3.64 (xuntil6(s231) | (~until5(s231))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10779, 155, 10773])).
% 4.85/3.64 tff(10781,plain,
% 4.85/3.64 (~until5(s231)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10780, 10768])).
% 4.85/3.64 tff(10782,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10783,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10784,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s230, s231)) | (~xuntil6(s230)) | until5(s231)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10783, 10782])).
% 4.85/3.64 tff(10785,plain,
% 4.85/3.64 ((~xuntil6(s230)) | until5(s231)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10784, 5089, 173])).
% 4.85/3.64 tff(10786,plain,
% 4.85/3.64 (~xuntil6(s230)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10785, 10781])).
% 4.85/3.64 tff(10787,plain,
% 4.85/3.64 (~always3(s230)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5097, 10769])).
% 4.85/3.64 tff(10788,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s230) | (~node4(s230)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s230) | (~node4(s230)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10789,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s230) | (~node4(s230)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10790,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s230) | (~node4(s230))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10789, 10788])).
% 4.85/3.64 tff(10791,plain,
% 4.85/3.64 (~node4(s230)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10790, 35, 10787])).
% 4.85/3.64 tff(10792,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s230) | node4(s230) | (~until5(s230)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10793,plain,
% 4.85/3.64 ((node4(s230) | (~until5(s230)) | xuntil6(s230)) <=> (xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10794,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s230) | node4(s230) | (~until5(s230))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10793])).
% 4.85/3.64 tff(10795,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10794, 10792])).
% 4.85/3.64 tff(10796,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s230) | (~until5(s230)) | xuntil6(s230))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10797,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s230) | node4(s230) | (~until5(s230))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10796, 10795])).
% 4.85/3.64 tff(10798,plain,
% 4.85/3.64 (xuntil6(s230) | (~until5(s230))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10797, 155, 10791])).
% 4.85/3.64 tff(10799,plain,
% 4.85/3.64 (~until5(s230)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10798, 10786])).
% 4.85/3.64 tff(10800,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10801,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10802,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s229, s230)) | (~xuntil6(s229)) | until5(s230)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10801, 10800])).
% 4.85/3.64 tff(10803,plain,
% 4.85/3.64 ((~xuntil6(s229)) | until5(s230)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10802, 5101, 173])).
% 4.85/3.64 tff(10804,plain,
% 4.85/3.64 (~xuntil6(s229)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10803, 10799])).
% 4.85/3.64 tff(10805,plain,
% 4.85/3.64 (~always3(s229)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5109, 10787])).
% 4.85/3.64 tff(10806,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s229) | (~node4(s229)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s229) | (~node4(s229)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10807,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s229) | (~node4(s229)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10808,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s229) | (~node4(s229))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10807, 10806])).
% 4.85/3.64 tff(10809,plain,
% 4.85/3.64 (~node4(s229)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10808, 35, 10805])).
% 4.85/3.64 tff(10810,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s229) | node4(s229) | (~until5(s229)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10811,plain,
% 4.85/3.64 ((node4(s229) | (~until5(s229)) | xuntil6(s229)) <=> (xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10812,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s229) | node4(s229) | (~until5(s229))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10811])).
% 4.85/3.64 tff(10813,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10812, 10810])).
% 4.85/3.64 tff(10814,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s229) | (~until5(s229)) | xuntil6(s229))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10815,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s229) | node4(s229) | (~until5(s229))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10814, 10813])).
% 4.85/3.64 tff(10816,plain,
% 4.85/3.64 (xuntil6(s229) | (~until5(s229))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10815, 155, 10809])).
% 4.85/3.64 tff(10817,plain,
% 4.85/3.64 (~until5(s229)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10816, 10804])).
% 4.85/3.64 tff(10818,plain,
% 4.85/3.64 (~always3(s228)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5121, 10805])).
% 4.85/3.64 tff(10819,plain,
% 4.85/3.64 (~always3(s227)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5133, 10818])).
% 4.85/3.64 tff(10820,plain,
% 4.85/3.64 (~always3(s226)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5145, 10819])).
% 4.85/3.64 tff(10821,plain,
% 4.85/3.64 (~always3(s225)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5157, 10820])).
% 4.85/3.64 tff(10822,plain,
% 4.85/3.64 (~always3(s224)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5169, 10821])).
% 4.85/3.64 tff(10823,plain,
% 4.85/3.64 (~always3(s223)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5181, 10822])).
% 4.85/3.64 tff(10824,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s223) | (~node4(s223)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s223) | (~node4(s223)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10825,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s223) | (~node4(s223)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10826,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s223) | (~node4(s223))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10825, 10824])).
% 4.85/3.64 tff(10827,plain,
% 4.85/3.64 (~node4(s223)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10826, 35, 10823])).
% 4.85/3.64 tff(10828,plain,
% 4.85/3.64 (~always3(s222)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[5193, 10823])).
% 4.85/3.64 tff(10829,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s222) | (~node4(s222)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s222) | (~node4(s222)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10830,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s222) | (~node4(s222)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10831,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s222) | (~node4(s222))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10830, 10829])).
% 4.85/3.64 tff(10832,plain,
% 4.85/3.64 (~node4(s222)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10831, 35, 10828])).
% 4.85/3.64 tff(10833,assumption,(until5(s222)), introduced(assumption)).
% 4.85/3.64 tff(10834,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s222) | node4(s222) | (~until5(s222)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10835,plain,
% 4.85/3.64 ((node4(s222) | (~until5(s222)) | xuntil6(s222)) <=> (xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10836,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s222) | node4(s222) | (~until5(s222))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10835])).
% 4.85/3.64 tff(10837,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10836, 10834])).
% 4.85/3.64 tff(10838,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s222) | (~until5(s222)) | xuntil6(s222))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10839,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s222) | node4(s222) | (~until5(s222))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10838, 10837])).
% 4.85/3.64 tff(10840,plain,
% 4.85/3.64 (xuntil6(s222) | node4(s222)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10839, 155, 10833])).
% 4.85/3.64 tff(10841,plain,
% 4.85/3.64 (xuntil6(s222)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10840, 10832])).
% 4.85/3.64 tff(10842,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10843,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10844,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s222, s223)) | (~xuntil6(s222)) | until5(s223)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10843, 10842])).
% 4.85/3.64 tff(10845,plain,
% 4.85/3.64 ((~xuntil6(s222)) | until5(s223)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10844, 5185, 173])).
% 4.85/3.64 tff(10846,plain,
% 4.85/3.64 (until5(s223)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10845, 10841])).
% 4.85/3.64 tff(10847,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s223) | node4(s223) | (~until5(s223)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10848,plain,
% 4.85/3.64 ((node4(s223) | (~until5(s223)) | xuntil6(s223)) <=> (xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10849,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s223) | node4(s223) | (~until5(s223))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10848])).
% 4.85/3.64 tff(10850,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10849, 10847])).
% 4.85/3.64 tff(10851,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s223) | (~until5(s223)) | xuntil6(s223))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10852,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s223) | node4(s223) | (~until5(s223))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10851, 10850])).
% 4.85/3.64 tff(10853,plain,
% 4.85/3.64 (xuntil6(s223)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10852, 155, 10846, 10827])).
% 4.85/3.64 tff(10854,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10855,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10856,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s223, s224)) | (~xuntil6(s223)) | until5(s224)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10855, 10854])).
% 4.85/3.64 tff(10857,plain,
% 4.85/3.64 ((~xuntil6(s223)) | until5(s224)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10856, 5173, 173])).
% 4.85/3.64 tff(10858,plain,
% 4.85/3.64 (until5(s224)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10857, 10853])).
% 4.85/3.64 tff(10859,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s224) | (~node4(s224)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s224) | (~node4(s224)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10860,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s224) | (~node4(s224)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10861,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s224) | (~node4(s224))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10860, 10859])).
% 4.85/3.64 tff(10862,plain,
% 4.85/3.64 (~node4(s224)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10861, 35, 10822])).
% 4.85/3.64 tff(10863,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s224) | node4(s224) | (~until5(s224)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10864,plain,
% 4.85/3.64 ((node4(s224) | (~until5(s224)) | xuntil6(s224)) <=> (xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10865,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s224) | node4(s224) | (~until5(s224))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10864])).
% 4.85/3.64 tff(10866,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10865, 10863])).
% 4.85/3.64 tff(10867,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s224) | (~until5(s224)) | xuntil6(s224))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10868,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s224) | node4(s224) | (~until5(s224))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10867, 10866])).
% 4.85/3.64 tff(10869,plain,
% 4.85/3.64 (xuntil6(s224) | (~until5(s224))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10868, 155, 10862])).
% 4.85/3.64 tff(10870,plain,
% 4.85/3.64 (xuntil6(s224)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10869, 10858])).
% 4.85/3.64 tff(10871,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10872,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10873,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s224, s225)) | (~xuntil6(s224)) | until5(s225)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10872, 10871])).
% 4.85/3.64 tff(10874,plain,
% 4.85/3.64 ((~xuntil6(s224)) | until5(s225)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10873, 5161, 173])).
% 4.85/3.64 tff(10875,plain,
% 4.85/3.64 (until5(s225)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10874, 10870])).
% 4.85/3.64 tff(10876,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s225) | (~node4(s225)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s225) | (~node4(s225)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10877,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s225) | (~node4(s225)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10878,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s225) | (~node4(s225))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10877, 10876])).
% 4.85/3.64 tff(10879,plain,
% 4.85/3.64 (~node4(s225)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10878, 35, 10821])).
% 4.85/3.64 tff(10880,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s225) | node4(s225) | (~until5(s225)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10881,plain,
% 4.85/3.64 ((node4(s225) | (~until5(s225)) | xuntil6(s225)) <=> (xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10882,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s225) | node4(s225) | (~until5(s225))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10881])).
% 4.85/3.64 tff(10883,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10882, 10880])).
% 4.85/3.64 tff(10884,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s225) | (~until5(s225)) | xuntil6(s225))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10885,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s225) | node4(s225) | (~until5(s225))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10884, 10883])).
% 4.85/3.64 tff(10886,plain,
% 4.85/3.64 (xuntil6(s225) | (~until5(s225))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10885, 155, 10879])).
% 4.85/3.64 tff(10887,plain,
% 4.85/3.64 (xuntil6(s225)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10886, 10875])).
% 4.85/3.64 tff(10888,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10889,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10890,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s225, s226)) | (~xuntil6(s225)) | until5(s226)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10889, 10888])).
% 4.85/3.64 tff(10891,plain,
% 4.85/3.64 ((~xuntil6(s225)) | until5(s226)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10890, 5149, 173])).
% 4.85/3.64 tff(10892,plain,
% 4.85/3.64 (until5(s226)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10891, 10887])).
% 4.85/3.64 tff(10893,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s226) | (~node4(s226)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s226) | (~node4(s226)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10894,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s226) | (~node4(s226)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10895,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s226) | (~node4(s226))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10894, 10893])).
% 4.85/3.64 tff(10896,plain,
% 4.85/3.64 (~node4(s226)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10895, 35, 10820])).
% 4.85/3.64 tff(10897,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s226) | node4(s226) | (~until5(s226)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10898,plain,
% 4.85/3.64 ((node4(s226) | (~until5(s226)) | xuntil6(s226)) <=> (xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10899,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s226) | node4(s226) | (~until5(s226))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10898])).
% 4.85/3.64 tff(10900,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10899, 10897])).
% 4.85/3.64 tff(10901,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s226) | (~until5(s226)) | xuntil6(s226))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10902,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s226) | node4(s226) | (~until5(s226))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10901, 10900])).
% 4.85/3.64 tff(10903,plain,
% 4.85/3.64 (xuntil6(s226) | (~until5(s226))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10902, 155, 10896])).
% 4.85/3.64 tff(10904,plain,
% 4.85/3.64 (xuntil6(s226)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10903, 10892])).
% 4.85/3.64 tff(10905,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10906,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10907,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s226, s227)) | (~xuntil6(s226)) | until5(s227)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10906, 10905])).
% 4.85/3.64 tff(10908,plain,
% 4.85/3.64 ((~xuntil6(s226)) | until5(s227)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10907, 5137, 173])).
% 4.85/3.64 tff(10909,plain,
% 4.85/3.64 (until5(s227)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10908, 10904])).
% 4.85/3.64 tff(10910,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s227) | (~node4(s227)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s227) | (~node4(s227)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10911,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s227) | (~node4(s227)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10912,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s227) | (~node4(s227))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10911, 10910])).
% 4.85/3.64 tff(10913,plain,
% 4.85/3.64 (~node4(s227)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10912, 35, 10819])).
% 4.85/3.64 tff(10914,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s227) | node4(s227) | (~until5(s227)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10915,plain,
% 4.85/3.64 ((node4(s227) | (~until5(s227)) | xuntil6(s227)) <=> (xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10916,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s227) | node4(s227) | (~until5(s227))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10915])).
% 4.85/3.64 tff(10917,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10916, 10914])).
% 4.85/3.64 tff(10918,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s227) | (~until5(s227)) | xuntil6(s227))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10919,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s227) | node4(s227) | (~until5(s227))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10918, 10917])).
% 4.85/3.64 tff(10920,plain,
% 4.85/3.64 (xuntil6(s227) | (~until5(s227))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10919, 155, 10913])).
% 4.85/3.64 tff(10921,plain,
% 4.85/3.64 (xuntil6(s227)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10920, 10909])).
% 4.85/3.64 tff(10922,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10923,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10924,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s227, s228)) | (~xuntil6(s227)) | until5(s228)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10923, 10922])).
% 4.85/3.64 tff(10925,plain,
% 4.85/3.64 ((~xuntil6(s227)) | until5(s228)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10924, 5125, 173])).
% 4.85/3.64 tff(10926,plain,
% 4.85/3.64 (until5(s228)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10925, 10921])).
% 4.85/3.64 tff(10927,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s228) | (~node4(s228)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s228) | (~node4(s228)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10928,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s228) | (~node4(s228)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10929,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s228) | (~node4(s228))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 4.85/3.64 tff(10930,plain,
% 4.85/3.64 (~node4(s228)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10929, 35, 10818])).
% 4.85/3.64 tff(10931,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s228) | node4(s228) | (~until5(s228)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10932,plain,
% 4.85/3.64 ((node4(s228) | (~until5(s228)) | xuntil6(s228)) <=> (xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10933,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s228) | node4(s228) | (~until5(s228))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10932])).
% 4.85/3.64 tff(10934,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10933, 10931])).
% 4.85/3.64 tff(10935,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s228) | (~until5(s228)) | xuntil6(s228))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10936,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s228) | node4(s228) | (~until5(s228))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 4.85/3.64 tff(10937,plain,
% 4.85/3.64 (xuntil6(s228) | (~until5(s228))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10936, 155, 10930])).
% 4.85/3.64 tff(10938,plain,
% 4.85/3.64 (xuntil6(s228)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10937, 10926])).
% 4.85/3.64 tff(10939,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10940,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10941,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s228, s229)) | (~xuntil6(s228)) | until5(s229)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10940, 10939])).
% 4.85/3.64 tff(10942,plain,
% 4.85/3.64 ((~xuntil6(s228)) | until5(s229)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10941, 5113, 173])).
% 4.85/3.64 tff(10943,plain,
% 4.85/3.64 ($false),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10942, 10938, 10817])).
% 4.85/3.64 tff(10944,plain,(always3(s235) | (~until5(s222)) | xuntil6(s235)), inference(lemma,lemma(discharge,[]))).
% 4.85/3.64 tff(10945,plain,
% 4.85/3.64 (xuntil6(s235)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10944, 10696, 5038])).
% 4.85/3.64 tff(10946,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10947,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10948,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s235, s236)) | (~xuntil6(s235)) | until5(s236)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10947, 10946])).
% 4.85/3.64 tff(10949,plain,
% 4.85/3.64 ((~xuntil6(s235)) | until5(s236)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10948, 5029, 173])).
% 4.85/3.64 tff(10950,plain,
% 4.85/3.64 (until5(s236)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10949, 10945])).
% 4.85/3.64 tff(10951,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s236) | (~node4(s236)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s236) | (~node4(s236)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10952,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s236) | (~node4(s236)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10953,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s236) | (~node4(s236))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10952, 10951])).
% 4.85/3.64 tff(10954,plain,
% 4.85/3.64 (~node4(s236)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10953, 35, 5026])).
% 4.85/3.64 tff(10955,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s236) | node4(s236) | (~until5(s236)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s236) | node4(s236) | (~until5(s236)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10956,plain,
% 4.85/3.64 ((node4(s236) | (~until5(s236)) | xuntil6(s236)) <=> (xuntil6(s236) | node4(s236) | (~until5(s236)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10957,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s236) | (~until5(s236)) | xuntil6(s236))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s236) | node4(s236) | (~until5(s236))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10956])).
% 4.85/3.64 tff(10958,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s236) | (~until5(s236)) | xuntil6(s236))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s236) | node4(s236) | (~until5(s236)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10957, 10955])).
% 4.85/3.64 tff(10959,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s236) | (~until5(s236)) | xuntil6(s236))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10960,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s236) | node4(s236) | (~until5(s236))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10959, 10958])).
% 4.85/3.64 tff(10961,plain,
% 4.85/3.64 (xuntil6(s236) | (~until5(s236))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10960, 155, 10954])).
% 4.85/3.64 tff(10962,plain,
% 4.85/3.64 (xuntil6(s236)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10961, 10950])).
% 4.85/3.64 tff(10963,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10964,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10965,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s236, s237)) | (~xuntil6(s236)) | until5(s237)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10964, 10963])).
% 4.85/3.64 tff(10966,plain,
% 4.85/3.64 ((~xuntil6(s236)) | until5(s237)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10965, 5017, 173])).
% 4.85/3.64 tff(10967,plain,
% 4.85/3.64 (until5(s237)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10966, 10962])).
% 4.85/3.64 tff(10968,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s237) | (~node4(s237)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s237) | (~node4(s237)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10969,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s237) | (~node4(s237)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10970,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s237) | (~node4(s237))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10969, 10968])).
% 4.85/3.64 tff(10971,plain,
% 4.85/3.64 (~node4(s237)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10970, 35, 5014])).
% 4.85/3.64 tff(10972,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s237) | node4(s237) | (~until5(s237)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s237) | node4(s237) | (~until5(s237)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10973,plain,
% 4.85/3.64 ((node4(s237) | (~until5(s237)) | xuntil6(s237)) <=> (xuntil6(s237) | node4(s237) | (~until5(s237)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10974,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s237) | (~until5(s237)) | xuntil6(s237))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s237) | node4(s237) | (~until5(s237))))),
% 4.85/3.64 inference(monotonicity,[status(thm)],[10973])).
% 4.85/3.64 tff(10975,plain,
% 4.85/3.64 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s237) | (~until5(s237)) | xuntil6(s237))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s237) | node4(s237) | (~until5(s237)))),
% 4.85/3.64 inference(transitivity,[status(thm)],[10974, 10972])).
% 4.85/3.64 tff(10976,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s237) | (~until5(s237)) | xuntil6(s237))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10977,plain,
% 4.85/3.64 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s237) | node4(s237) | (~until5(s237))),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10976, 10975])).
% 4.85/3.64 tff(10978,plain,
% 4.85/3.64 (xuntil6(s237) | (~until5(s237))),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10977, 155, 10971])).
% 4.85/3.64 tff(10979,plain,
% 4.85/3.64 (xuntil6(s237)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10978, 10967])).
% 4.85/3.64 tff(10980,plain,
% 4.85/3.64 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10981,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
% 4.85/3.64 tff(10982,plain,
% 4.85/3.64 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s237, s238)) | (~xuntil6(s237)) | until5(s238)),
% 4.85/3.64 inference(modus_ponens,[status(thm)],[10981, 10980])).
% 4.85/3.64 tff(10983,plain,
% 4.85/3.64 ((~xuntil6(s237)) | until5(s238)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10982, 5005, 173])).
% 4.85/3.64 tff(10984,plain,
% 4.85/3.64 (until5(s238)),
% 4.85/3.64 inference(unit_resolution,[status(thm)],[10983, 10979])).
% 4.85/3.64 tff(10985,plain,
% 4.85/3.64 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s238) | (~node4(s238)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s238) | (~node4(s238)))),
% 4.85/3.64 inference(rewrite,[status(thm)],[])).
% 4.85/3.64 tff(10986,plain,
% 4.85/3.64 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s238) | (~node4(s238)))),
% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.64 inference(unit_resolution,[status(thm)],[10987, 35, 5002])).
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% 4.85/3.64 inference(rewrite,[status(thm)],[])).
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% 4.85/3.64 inference(monotonicity,[status(thm)],[10990])).
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% 4.85/3.64 inference(transitivity,[status(thm)],[10991, 10989])).
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% 4.85/3.64 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.64 inference(modus_ponens,[status(thm)],[10993, 10992])).
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% 4.85/3.64 inference(unit_resolution,[status(thm)],[10995, 10984])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[10998, 10997])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11000, 10996])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11003, 11002])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11004, 35, 4990])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(monotonicity,[status(thm)],[11007])).
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% 4.85/3.65 inference(transitivity,[status(thm)],[11008, 11006])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11010, 11009])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11012, 11001])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11015, 11014])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11017, 11013])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11020, 11019])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11021, 35, 4978])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(monotonicity,[status(thm)],[11024])).
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% 4.85/3.65 inference(transitivity,[status(thm)],[11025, 11023])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11027, 11026])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11032, 11031])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11037, 11036])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(monotonicity,[status(thm)],[11041])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(monotonicity,[status(thm)],[11058])).
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% 4.85/3.65 inference(transitivity,[status(thm)],[11059, 11057])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11061, 11060])).
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% 4.85/3.65 (xuntil6(s242) | (~until5(s242))),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11062, 155, 11056])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11063, 11052])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11066, 11065])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11067, 4945, 173])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11068, 11064])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11071, 11070])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11072, 35, 4942])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(monotonicity,[status(thm)],[11075])).
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% 4.85/3.65 inference(transitivity,[status(thm)],[11076, 11074])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11078, 11077])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11079, 155, 11073])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11080, 11069])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11083, 11082])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11084, 4933, 173])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11085, 11081])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11088, 11087])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11089, 35, 4930])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 ((node4(s244) | (~until5(s244)) | xuntil6(s244)) <=> (xuntil6(s244) | node4(s244) | (~until5(s244)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(monotonicity,[status(thm)],[11092])).
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% 4.85/3.65 inference(transitivity,[status(thm)],[11093, 11091])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11095, 11094])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11096, 155, 11090])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11097, 11086])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11100, 11099])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11101, 4921, 173])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11102, 11098])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11105, 11104])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(monotonicity,[status(thm)],[11109])).
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% 4.85/3.65 inference(transitivity,[status(thm)],[11110, 11108])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(transitivity,[status(thm)],[11127, 11125])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11129, 11128])).
% 4.85/3.65 tff(11131,plain,
% 4.85/3.65 (xuntil6(s246) | (~until5(s246))),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11130, 155, 11124])).
% 4.85/3.65 tff(11132,plain,
% 4.85/3.65 (xuntil6(s246)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11131, 11120])).
% 4.85/3.65 tff(11133,plain,
% 4.85/3.65 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s246, s247)) | (~xuntil6(s246)) | until5(s247))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
% 4.85/3.65 tff(11134,plain,
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
% 4.85/3.65 tff(11135,plain,
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11134, 11133])).
% 4.85/3.65 tff(11136,plain,
% 4.85/3.65 ((~xuntil6(s246)) | until5(s247)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11135, 4897, 173])).
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% 4.85/3.65 (until5(s247)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11136, 11132])).
% 4.85/3.65 tff(11138,plain,
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
% 4.85/3.65 tff(11140,plain,
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11139, 11138])).
% 4.85/3.65 tff(11141,plain,
% 4.85/3.65 (~node4(s247)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11140, 35, 4894])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
% 4.85/3.65 tff(11144,plain,
% 4.85/3.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s247) | (~until5(s247)) | xuntil6(s247))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s247) | node4(s247) | (~until5(s247))))),
% 4.85/3.65 inference(monotonicity,[status(thm)],[11143])).
% 4.85/3.65 tff(11145,plain,
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% 4.85/3.65 inference(transitivity,[status(thm)],[11144, 11142])).
% 4.85/3.65 tff(11146,plain,
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
% 4.85/3.65 tff(11147,plain,
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11146, 11145])).
% 4.85/3.65 tff(11148,plain,
% 4.85/3.65 (xuntil6(s247) | (~until5(s247))),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11147, 155, 11141])).
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% 4.85/3.65 (xuntil6(s247)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11148, 11137])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
% 4.85/3.65 tff(11151,plain,
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11151, 11150])).
% 4.85/3.65 tff(11153,plain,
% 4.85/3.65 ((~xuntil6(s247)) | until5(s248)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11152, 4885, 173])).
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% 4.85/3.65 (until5(s248)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11153, 11149])).
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% 4.85/3.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s248) | (~node4(s248)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s248) | (~node4(s248)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11156, 11155])).
% 4.85/3.65 tff(11158,plain,
% 4.85/3.65 (~node4(s248)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11157, 35, 4882])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 ((node4(s248) | (~until5(s248)) | xuntil6(s248)) <=> (xuntil6(s248) | node4(s248) | (~until5(s248)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
% 4.85/3.65 tff(11161,plain,
% 4.85/3.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s248) | (~until5(s248)) | xuntil6(s248))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s248) | node4(s248) | (~until5(s248))))),
% 4.85/3.65 inference(monotonicity,[status(thm)],[11160])).
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% 4.85/3.65 inference(transitivity,[status(thm)],[11161, 11159])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11163, 11162])).
% 4.85/3.65 tff(11165,plain,
% 4.85/3.65 (xuntil6(s248) | (~until5(s248))),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11164, 155, 11158])).
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% 4.85/3.65 (xuntil6(s248)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11165, 11154])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249))),
% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
% 4.85/3.65 tff(11169,plain,
% 4.85/3.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s248, s249)) | (~xuntil6(s248)) | until5(s249)),
% 4.85/3.65 inference(modus_ponens,[status(thm)],[11168, 11167])).
% 4.85/3.65 tff(11170,plain,
% 4.85/3.65 ((~xuntil6(s248)) | until5(s249)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11169, 4873, 173])).
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% 4.85/3.65 (until5(s249)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11170, 11166])).
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% 4.85/3.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s249) | (~node4(s249)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s249) | (~node4(s249)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s249) | (~node4(s249))),
% 4.85/3.65 inference(modus_ponens,[status(thm)],[11173, 11172])).
% 4.85/3.65 tff(11175,plain,
% 4.85/3.65 (~node4(s249)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11174, 35, 4870])).
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% 4.85/3.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s249) | node4(s249) | (~until5(s249)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s249) | node4(s249) | (~until5(s249)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 ((node4(s249) | (~until5(s249)) | xuntil6(s249)) <=> (xuntil6(s249) | node4(s249) | (~until5(s249)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s249) | (~until5(s249)) | xuntil6(s249))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s249) | node4(s249) | (~until5(s249))))),
% 4.85/3.65 inference(monotonicity,[status(thm)],[11177])).
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% 4.85/3.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s249) | (~until5(s249)) | xuntil6(s249))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s249) | node4(s249) | (~until5(s249)))),
% 4.85/3.65 inference(transitivity,[status(thm)],[11178, 11176])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 inference(modus_ponens,[status(thm)],[11180, 11179])).
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% 4.85/3.65 (xuntil6(s249) | (~until5(s249))),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11181, 155, 11175])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11182, 11171])).
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% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250))),
% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s249, s250)) | (~xuntil6(s249)) | until5(s250)),
% 4.85/3.65 inference(modus_ponens,[status(thm)],[11185, 11184])).
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% 4.85/3.65 ((~xuntil6(s249)) | until5(s250)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11186, 4861, 173])).
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% 4.85/3.65 (until5(s250)),
% 4.85/3.65 inference(unit_resolution,[status(thm)],[11187, 11183])).
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% 4.85/3.65 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s250) | (~node4(s250)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s250) | (~node4(s250)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.65 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s250) | (~node4(s250))),
% 4.85/3.65 inference(modus_ponens,[status(thm)],[11190, 11189])).
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% 4.85/3.65 inference(unit_resolution,[status(thm)],[11191, 35, 4858])).
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% 4.85/3.65 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s250) | node4(s250) | (~until5(s250)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s250) | node4(s250) | (~until5(s250)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.65 ((node4(s250) | (~until5(s250)) | xuntil6(s250)) <=> (xuntil6(s250) | node4(s250) | (~until5(s250)))),
% 4.85/3.65 inference(rewrite,[status(thm)],[])).
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% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s250) | (~until5(s250)) | xuntil6(s250))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s250) | node4(s250) | (~until5(s250))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11194])).
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% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s250) | (~until5(s250)) | xuntil6(s250))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s250) | node4(s250) | (~until5(s250)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11195, 11193])).
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% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
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% 4.85/3.66 inference(modus_ponens,[status(thm)],[11197, 11196])).
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% 4.85/3.66 (xuntil6(s250) | (~until5(s250))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11198, 155, 11192])).
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% 4.85/3.66 (xuntil6(s250)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11199, 11188])).
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% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11202,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11203,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s250, s251)) | (~xuntil6(s250)) | until5(s251)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11202, 11201])).
% 4.85/3.66 tff(11204,plain,
% 4.85/3.66 ((~xuntil6(s250)) | until5(s251)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11203, 4849, 173])).
% 4.85/3.66 tff(11205,plain,
% 4.85/3.66 (until5(s251)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11204, 11200])).
% 4.85/3.66 tff(11206,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s251) | (~node4(s251)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s251) | (~node4(s251)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11207,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s251) | (~node4(s251)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11208,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s251) | (~node4(s251))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11207, 11206])).
% 4.85/3.66 tff(11209,plain,
% 4.85/3.66 (~node4(s251)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11208, 35, 4846])).
% 4.85/3.66 tff(11210,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s251) | node4(s251) | (~until5(s251)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s251) | node4(s251) | (~until5(s251)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11211,plain,
% 4.85/3.66 ((node4(s251) | (~until5(s251)) | xuntil6(s251)) <=> (xuntil6(s251) | node4(s251) | (~until5(s251)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11212,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s251) | (~until5(s251)) | xuntil6(s251))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s251) | node4(s251) | (~until5(s251))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11211])).
% 4.85/3.66 tff(11213,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s251) | (~until5(s251)) | xuntil6(s251))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s251) | node4(s251) | (~until5(s251)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11212, 11210])).
% 4.85/3.66 tff(11214,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s251) | (~until5(s251)) | xuntil6(s251))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11215,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s251) | node4(s251) | (~until5(s251))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11214, 11213])).
% 4.85/3.66 tff(11216,plain,
% 4.85/3.66 (xuntil6(s251) | (~until5(s251))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11215, 155, 11209])).
% 4.85/3.66 tff(11217,plain,
% 4.85/3.66 (xuntil6(s251)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11216, 11205])).
% 4.85/3.66 tff(11218,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11219,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11220,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s251, s252)) | (~xuntil6(s251)) | until5(s252)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11219, 11218])).
% 4.85/3.66 tff(11221,plain,
% 4.85/3.66 ((~xuntil6(s251)) | until5(s252)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11220, 4837, 173])).
% 4.85/3.66 tff(11222,plain,
% 4.85/3.66 (until5(s252)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11221, 11217])).
% 4.85/3.66 tff(11223,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s252) | (~node4(s252)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s252) | (~node4(s252)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11224,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s252) | (~node4(s252)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11225,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s252) | (~node4(s252))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11224, 11223])).
% 4.85/3.66 tff(11226,plain,
% 4.85/3.66 (~node4(s252)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11225, 35, 4834])).
% 4.85/3.66 tff(11227,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s252) | node4(s252) | (~until5(s252)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s252) | node4(s252) | (~until5(s252)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11228,plain,
% 4.85/3.66 ((node4(s252) | (~until5(s252)) | xuntil6(s252)) <=> (xuntil6(s252) | node4(s252) | (~until5(s252)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11229,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s252) | (~until5(s252)) | xuntil6(s252))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s252) | node4(s252) | (~until5(s252))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11228])).
% 4.85/3.66 tff(11230,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s252) | (~until5(s252)) | xuntil6(s252))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s252) | node4(s252) | (~until5(s252)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11229, 11227])).
% 4.85/3.66 tff(11231,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s252) | (~until5(s252)) | xuntil6(s252))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11232,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s252) | node4(s252) | (~until5(s252))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11231, 11230])).
% 4.85/3.66 tff(11233,plain,
% 4.85/3.66 (xuntil6(s252) | (~until5(s252))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11232, 155, 11226])).
% 4.85/3.66 tff(11234,plain,
% 4.85/3.66 (xuntil6(s252)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11233, 11222])).
% 4.85/3.66 tff(11235,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11236,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11237,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s252, s253)) | (~xuntil6(s252)) | until5(s253)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11236, 11235])).
% 4.85/3.66 tff(11238,plain,
% 4.85/3.66 ((~xuntil6(s252)) | until5(s253)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11237, 4825, 173])).
% 4.85/3.66 tff(11239,plain,
% 4.85/3.66 (until5(s253)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11238, 11234])).
% 4.85/3.66 tff(11240,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s253) | (~node4(s253)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s253) | (~node4(s253)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11241,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s253) | (~node4(s253)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11242,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s253) | (~node4(s253))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11241, 11240])).
% 4.85/3.66 tff(11243,plain,
% 4.85/3.66 (~node4(s253)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11242, 35, 4822])).
% 4.85/3.66 tff(11244,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s253) | node4(s253) | (~until5(s253)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s253) | node4(s253) | (~until5(s253)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11245,plain,
% 4.85/3.66 ((node4(s253) | (~until5(s253)) | xuntil6(s253)) <=> (xuntil6(s253) | node4(s253) | (~until5(s253)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11246,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s253) | (~until5(s253)) | xuntil6(s253))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s253) | node4(s253) | (~until5(s253))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11245])).
% 4.85/3.66 tff(11247,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s253) | (~until5(s253)) | xuntil6(s253))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s253) | node4(s253) | (~until5(s253)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11246, 11244])).
% 4.85/3.66 tff(11248,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s253) | (~until5(s253)) | xuntil6(s253))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11249,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s253) | node4(s253) | (~until5(s253))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11248, 11247])).
% 4.85/3.66 tff(11250,plain,
% 4.85/3.66 (xuntil6(s253) | (~until5(s253))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11249, 155, 11243])).
% 4.85/3.66 tff(11251,plain,
% 4.85/3.66 (xuntil6(s253)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11250, 11239])).
% 4.85/3.66 tff(11252,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11253,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11254,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s253, s254)) | (~xuntil6(s253)) | until5(s254)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11253, 11252])).
% 4.85/3.66 tff(11255,plain,
% 4.85/3.66 ((~xuntil6(s253)) | until5(s254)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11254, 4813, 173])).
% 4.85/3.66 tff(11256,plain,
% 4.85/3.66 (until5(s254)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11255, 11251])).
% 4.85/3.66 tff(11257,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s254) | (~node4(s254)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s254) | (~node4(s254)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11258,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s254) | (~node4(s254)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11259,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s254) | (~node4(s254))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11258, 11257])).
% 4.85/3.66 tff(11260,plain,
% 4.85/3.66 (~node4(s254)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11259, 35, 4810])).
% 4.85/3.66 tff(11261,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s254) | node4(s254) | (~until5(s254)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s254) | node4(s254) | (~until5(s254)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11262,plain,
% 4.85/3.66 ((node4(s254) | (~until5(s254)) | xuntil6(s254)) <=> (xuntil6(s254) | node4(s254) | (~until5(s254)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11263,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s254) | (~until5(s254)) | xuntil6(s254))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s254) | node4(s254) | (~until5(s254))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11262])).
% 4.85/3.66 tff(11264,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s254) | (~until5(s254)) | xuntil6(s254))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s254) | node4(s254) | (~until5(s254)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11263, 11261])).
% 4.85/3.66 tff(11265,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s254) | (~until5(s254)) | xuntil6(s254))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11266,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s254) | node4(s254) | (~until5(s254))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11265, 11264])).
% 4.85/3.66 tff(11267,plain,
% 4.85/3.66 (xuntil6(s254) | (~until5(s254))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11266, 155, 11260])).
% 4.85/3.66 tff(11268,plain,
% 4.85/3.66 (xuntil6(s254)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11267, 11256])).
% 4.85/3.66 tff(11269,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11270,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11271,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s254, s255)) | (~xuntil6(s254)) | until5(s255)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11270, 11269])).
% 4.85/3.66 tff(11272,plain,
% 4.85/3.66 ((~xuntil6(s254)) | until5(s255)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11271, 4801, 173])).
% 4.85/3.66 tff(11273,plain,
% 4.85/3.66 (until5(s255)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11272, 11268])).
% 4.85/3.66 tff(11274,assumption,(~always3(s268)), introduced(assumption)).
% 4.85/3.66 tff(11275,plain,
% 4.85/3.66 (~always3(s267)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[4653, 11274])).
% 4.85/3.66 tff(11276,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s267) | (~node4(s267)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s267) | (~node4(s267)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11277,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s267) | (~node4(s267)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11278,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s267) | (~node4(s267))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11277, 11276])).
% 4.85/3.66 tff(11279,plain,
% 4.85/3.66 (~node4(s267)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11278, 35, 11275])).
% 4.85/3.66 tff(11280,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s268) | (~node4(s268)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s268) | (~node4(s268)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11281,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s268) | (~node4(s268)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11282,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s268) | (~node4(s268))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11281, 11280])).
% 4.85/3.66 tff(11283,plain,
% 4.85/3.66 (~node4(s268)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11282, 35, 11274])).
% 4.85/3.66 tff(11284,assumption,(~xuntil6(s268)), introduced(assumption)).
% 4.85/3.66 tff(11285,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s268) | node4(s268) | (~until5(s268)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s268) | node4(s268) | (~until5(s268)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11286,plain,
% 4.85/3.66 ((node4(s268) | (~until5(s268)) | xuntil6(s268)) <=> (xuntil6(s268) | node4(s268) | (~until5(s268)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11287,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s268) | (~until5(s268)) | xuntil6(s268))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s268) | node4(s268) | (~until5(s268))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11286])).
% 4.85/3.66 tff(11288,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s268) | (~until5(s268)) | xuntil6(s268))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s268) | node4(s268) | (~until5(s268)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11287, 11285])).
% 4.85/3.66 tff(11289,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s268) | (~until5(s268)) | xuntil6(s268))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11290,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s268) | node4(s268) | (~until5(s268))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11289, 11288])).
% 4.85/3.66 tff(11291,plain,
% 4.85/3.66 (node4(s268) | (~until5(s268))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11290, 155, 11284])).
% 4.85/3.66 tff(11292,plain,
% 4.85/3.66 (~until5(s268)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11291, 11283])).
% 4.85/3.66 tff(11293,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11294,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11295,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s267, s268)) | (~xuntil6(s267)) | until5(s268)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11294, 11293])).
% 4.85/3.66 tff(11296,plain,
% 4.85/3.66 ((~xuntil6(s267)) | until5(s268)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11295, 4645, 173])).
% 4.85/3.66 tff(11297,plain,
% 4.85/3.66 (~xuntil6(s267)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11296, 11292])).
% 4.85/3.66 tff(11298,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s267) | node4(s267) | (~until5(s267)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s267) | node4(s267) | (~until5(s267)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11299,plain,
% 4.85/3.66 ((node4(s267) | (~until5(s267)) | xuntil6(s267)) <=> (xuntil6(s267) | node4(s267) | (~until5(s267)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11300,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s267) | (~until5(s267)) | xuntil6(s267))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s267) | node4(s267) | (~until5(s267))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11299])).
% 4.85/3.66 tff(11301,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s267) | (~until5(s267)) | xuntil6(s267))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s267) | node4(s267) | (~until5(s267)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11300, 11298])).
% 4.85/3.66 tff(11302,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s267) | (~until5(s267)) | xuntil6(s267))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11303,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s267) | node4(s267) | (~until5(s267))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11302, 11301])).
% 4.85/3.66 tff(11304,plain,
% 4.85/3.66 (~until5(s267)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11303, 155, 11297, 11279])).
% 4.85/3.66 tff(11305,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11306,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11307,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s266, s267)) | (~xuntil6(s266)) | until5(s267)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11306, 11305])).
% 4.85/3.66 tff(11308,plain,
% 4.85/3.66 ((~xuntil6(s266)) | until5(s267)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11307, 4657, 173])).
% 4.85/3.66 tff(11309,plain,
% 4.85/3.66 (~xuntil6(s266)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11308, 11304])).
% 4.85/3.66 tff(11310,plain,
% 4.85/3.66 (~always3(s266)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[4665, 11275])).
% 4.85/3.66 tff(11311,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s266) | (~node4(s266)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s266) | (~node4(s266)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11312,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s266) | (~node4(s266)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11313,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s266) | (~node4(s266))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11312, 11311])).
% 4.85/3.66 tff(11314,plain,
% 4.85/3.66 (~node4(s266)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11313, 35, 11310])).
% 4.85/3.66 tff(11315,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s266) | node4(s266) | (~until5(s266)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s266) | node4(s266) | (~until5(s266)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11316,plain,
% 4.85/3.66 ((node4(s266) | (~until5(s266)) | xuntil6(s266)) <=> (xuntil6(s266) | node4(s266) | (~until5(s266)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11317,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s266) | (~until5(s266)) | xuntil6(s266))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s266) | node4(s266) | (~until5(s266))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11316])).
% 4.85/3.66 tff(11318,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s266) | (~until5(s266)) | xuntil6(s266))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s266) | node4(s266) | (~until5(s266)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11317, 11315])).
% 4.85/3.66 tff(11319,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s266) | (~until5(s266)) | xuntil6(s266))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11320,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s266) | node4(s266) | (~until5(s266))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11319, 11318])).
% 4.85/3.66 tff(11321,plain,
% 4.85/3.66 (xuntil6(s266) | (~until5(s266))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11320, 155, 11314])).
% 4.85/3.66 tff(11322,plain,
% 4.85/3.66 (~until5(s266)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11321, 11309])).
% 4.85/3.66 tff(11323,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11324,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11325,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s265, s266)) | (~xuntil6(s265)) | until5(s266)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11324, 11323])).
% 4.85/3.66 tff(11326,plain,
% 4.85/3.66 ((~xuntil6(s265)) | until5(s266)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11325, 4669, 173])).
% 4.85/3.66 tff(11327,plain,
% 4.85/3.66 (~xuntil6(s265)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11326, 11322])).
% 4.85/3.66 tff(11328,plain,
% 4.85/3.66 (~always3(s265)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[4677, 11310])).
% 4.85/3.66 tff(11329,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s265) | (~node4(s265)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s265) | (~node4(s265)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11330,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s265) | (~node4(s265)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11331,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s265) | (~node4(s265))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11330, 11329])).
% 4.85/3.66 tff(11332,plain,
% 4.85/3.66 (~node4(s265)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11331, 35, 11328])).
% 4.85/3.66 tff(11333,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s265) | node4(s265) | (~until5(s265)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s265) | node4(s265) | (~until5(s265)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11334,plain,
% 4.85/3.66 ((node4(s265) | (~until5(s265)) | xuntil6(s265)) <=> (xuntil6(s265) | node4(s265) | (~until5(s265)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11335,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s265) | (~until5(s265)) | xuntil6(s265))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s265) | node4(s265) | (~until5(s265))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11334])).
% 4.85/3.66 tff(11336,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s265) | (~until5(s265)) | xuntil6(s265))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s265) | node4(s265) | (~until5(s265)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11335, 11333])).
% 4.85/3.66 tff(11337,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s265) | (~until5(s265)) | xuntil6(s265))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11338,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s265) | node4(s265) | (~until5(s265))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11337, 11336])).
% 4.85/3.66 tff(11339,plain,
% 4.85/3.66 (xuntil6(s265) | (~until5(s265))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11338, 155, 11332])).
% 4.85/3.66 tff(11340,plain,
% 4.85/3.66 (~until5(s265)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11339, 11327])).
% 4.85/3.66 tff(11341,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11342,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11343,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s264, s265)) | (~xuntil6(s264)) | until5(s265)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11342, 11341])).
% 4.85/3.66 tff(11344,plain,
% 4.85/3.66 ((~xuntil6(s264)) | until5(s265)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11343, 4681, 173])).
% 4.85/3.66 tff(11345,plain,
% 4.85/3.66 (~xuntil6(s264)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11344, 11340])).
% 4.85/3.66 tff(11346,plain,
% 4.85/3.66 (~always3(s264)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[4689, 11328])).
% 4.85/3.66 tff(11347,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s264) | (~node4(s264)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s264) | (~node4(s264)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11348,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s264) | (~node4(s264)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11349,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s264) | (~node4(s264))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 4.85/3.66 tff(11350,plain,
% 4.85/3.66 (~node4(s264)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11349, 35, 11346])).
% 4.85/3.66 tff(11351,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s264) | node4(s264) | (~until5(s264)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s264) | node4(s264) | (~until5(s264)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11352,plain,
% 4.85/3.66 ((node4(s264) | (~until5(s264)) | xuntil6(s264)) <=> (xuntil6(s264) | node4(s264) | (~until5(s264)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11353,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s264) | (~until5(s264)) | xuntil6(s264))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s264) | node4(s264) | (~until5(s264))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11352])).
% 4.85/3.66 tff(11354,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s264) | (~until5(s264)) | xuntil6(s264))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s264) | node4(s264) | (~until5(s264)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11353, 11351])).
% 4.85/3.66 tff(11355,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s264) | (~until5(s264)) | xuntil6(s264))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11356,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s264) | node4(s264) | (~until5(s264))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11355, 11354])).
% 4.85/3.66 tff(11357,plain,
% 4.85/3.66 (xuntil6(s264) | (~until5(s264))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11356, 155, 11350])).
% 4.85/3.66 tff(11358,plain,
% 4.85/3.66 (~until5(s264)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11357, 11345])).
% 4.85/3.66 tff(11359,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11360,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11361,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s263, s264)) | (~xuntil6(s263)) | until5(s264)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11360, 11359])).
% 4.85/3.66 tff(11362,plain,
% 4.85/3.66 ((~xuntil6(s263)) | until5(s264)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11361, 4693, 173])).
% 4.85/3.66 tff(11363,plain,
% 4.85/3.66 (~xuntil6(s263)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11362, 11358])).
% 4.85/3.66 tff(11364,plain,
% 4.85/3.66 (~always3(s263)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[4701, 11346])).
% 4.85/3.66 tff(11365,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s263) | (~node4(s263)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s263) | (~node4(s263)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11366,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s263) | (~node4(s263)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11367,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s263) | (~node4(s263))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11366, 11365])).
% 4.85/3.66 tff(11368,plain,
% 4.85/3.66 (~node4(s263)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11367, 35, 11364])).
% 4.85/3.66 tff(11369,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s263) | node4(s263) | (~until5(s263)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s263) | node4(s263) | (~until5(s263)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11370,plain,
% 4.85/3.66 ((node4(s263) | (~until5(s263)) | xuntil6(s263)) <=> (xuntil6(s263) | node4(s263) | (~until5(s263)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11371,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s263) | (~until5(s263)) | xuntil6(s263))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s263) | node4(s263) | (~until5(s263))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11370])).
% 4.85/3.66 tff(11372,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s263) | (~until5(s263)) | xuntil6(s263))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s263) | node4(s263) | (~until5(s263)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11371, 11369])).
% 4.85/3.66 tff(11373,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s263) | (~until5(s263)) | xuntil6(s263))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11374,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s263) | node4(s263) | (~until5(s263))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 4.85/3.66 tff(11375,plain,
% 4.85/3.66 (xuntil6(s263) | (~until5(s263))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11374, 155, 11368])).
% 4.85/3.66 tff(11376,plain,
% 4.85/3.66 (~until5(s263)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11375, 11363])).
% 4.85/3.66 tff(11377,plain,
% 4.85/3.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11378,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11379,plain,
% 4.85/3.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s262, s263)) | (~xuntil6(s262)) | until5(s263)),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11378, 11377])).
% 4.85/3.66 tff(11380,plain,
% 4.85/3.66 ((~xuntil6(s262)) | until5(s263)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11379, 4705, 173])).
% 4.85/3.66 tff(11381,plain,
% 4.85/3.66 (~xuntil6(s262)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11380, 11376])).
% 4.85/3.66 tff(11382,plain,
% 4.85/3.66 (~always3(s262)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[4713, 11364])).
% 4.85/3.66 tff(11383,plain,
% 4.85/3.66 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s262) | (~node4(s262)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s262) | (~node4(s262)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11384,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s262) | (~node4(s262)))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11385,plain,
% 4.85/3.66 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s262) | (~node4(s262))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 4.85/3.66 tff(11386,plain,
% 4.85/3.66 (~node4(s262)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11385, 35, 11382])).
% 4.85/3.66 tff(11387,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s262) | node4(s262) | (~until5(s262)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s262) | node4(s262) | (~until5(s262)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11388,plain,
% 4.85/3.66 ((node4(s262) | (~until5(s262)) | xuntil6(s262)) <=> (xuntil6(s262) | node4(s262) | (~until5(s262)))),
% 4.85/3.66 inference(rewrite,[status(thm)],[])).
% 4.85/3.66 tff(11389,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s262) | (~until5(s262)) | xuntil6(s262))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s262) | node4(s262) | (~until5(s262))))),
% 4.85/3.66 inference(monotonicity,[status(thm)],[11388])).
% 4.85/3.66 tff(11390,plain,
% 4.85/3.66 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s262) | (~until5(s262)) | xuntil6(s262))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s262) | node4(s262) | (~until5(s262)))),
% 4.85/3.66 inference(transitivity,[status(thm)],[11389, 11387])).
% 4.85/3.66 tff(11391,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s262) | (~until5(s262)) | xuntil6(s262))),
% 4.85/3.66 inference(quant_inst,[status(thm)],[])).
% 4.85/3.66 tff(11392,plain,
% 4.85/3.66 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s262) | node4(s262) | (~until5(s262))),
% 4.85/3.66 inference(modus_ponens,[status(thm)],[11391, 11390])).
% 4.85/3.66 tff(11393,plain,
% 4.85/3.66 (xuntil6(s262) | (~until5(s262))),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11392, 155, 11386])).
% 4.85/3.66 tff(11394,plain,
% 4.85/3.66 (~until5(s262)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[11393, 11381])).
% 4.85/3.66 tff(11395,plain,
% 4.85/3.66 (~always3(s261)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[4725, 11382])).
% 4.85/3.66 tff(11396,plain,
% 4.85/3.66 (~always3(s260)),
% 4.85/3.66 inference(unit_resolution,[status(thm)],[4737, 11395])).
% 4.85/3.67 tff(11397,plain,
% 4.85/3.67 (~always3(s259)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[4749, 11396])).
% 4.85/3.67 tff(11398,plain,
% 4.85/3.67 (~always3(s258)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[4761, 11397])).
% 4.85/3.67 tff(11399,plain,
% 4.85/3.67 (~always3(s257)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[4773, 11398])).
% 4.85/3.67 tff(11400,plain,
% 4.85/3.67 (~always3(s256)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[4785, 11399])).
% 4.85/3.67 tff(11401,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s256) | (~node4(s256)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s256) | (~node4(s256)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11402,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s256) | (~node4(s256)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11403,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s256) | (~node4(s256))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11402, 11401])).
% 4.85/3.67 tff(11404,plain,
% 4.85/3.67 (~node4(s256)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11403, 35, 11400])).
% 4.85/3.67 tff(11405,plain,
% 4.85/3.67 (~always3(s255)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[4797, 11400])).
% 4.85/3.67 tff(11406,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s255) | (~node4(s255)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s255) | (~node4(s255)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11407,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s255) | (~node4(s255)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11408,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s255) | (~node4(s255))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11407, 11406])).
% 4.85/3.67 tff(11409,plain,
% 4.85/3.67 (~node4(s255)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11408, 35, 11405])).
% 4.85/3.67 tff(11410,assumption,(until5(s255)), introduced(assumption)).
% 4.85/3.67 tff(11411,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s255) | node4(s255) | (~until5(s255)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s255) | node4(s255) | (~until5(s255)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11412,plain,
% 4.85/3.67 ((node4(s255) | (~until5(s255)) | xuntil6(s255)) <=> (xuntil6(s255) | node4(s255) | (~until5(s255)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11413,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s255) | (~until5(s255)) | xuntil6(s255))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s255) | node4(s255) | (~until5(s255))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11412])).
% 4.85/3.67 tff(11414,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s255) | (~until5(s255)) | xuntil6(s255))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s255) | node4(s255) | (~until5(s255)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11413, 11411])).
% 4.85/3.67 tff(11415,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s255) | (~until5(s255)) | xuntil6(s255))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11416,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s255) | node4(s255) | (~until5(s255))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11415, 11414])).
% 4.85/3.67 tff(11417,plain,
% 4.85/3.67 (xuntil6(s255) | node4(s255)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11416, 155, 11410])).
% 4.85/3.67 tff(11418,plain,
% 4.85/3.67 (xuntil6(s255)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11417, 11409])).
% 4.85/3.67 tff(11419,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11420,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11421,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s255, s256)) | (~xuntil6(s255)) | until5(s256)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11420, 11419])).
% 4.85/3.67 tff(11422,plain,
% 4.85/3.67 ((~xuntil6(s255)) | until5(s256)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11421, 4789, 173])).
% 4.85/3.67 tff(11423,plain,
% 4.85/3.67 (until5(s256)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11422, 11418])).
% 4.85/3.67 tff(11424,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s256) | node4(s256) | (~until5(s256)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s256) | node4(s256) | (~until5(s256)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11425,plain,
% 4.85/3.67 ((node4(s256) | (~until5(s256)) | xuntil6(s256)) <=> (xuntil6(s256) | node4(s256) | (~until5(s256)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11426,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s256) | (~until5(s256)) | xuntil6(s256))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s256) | node4(s256) | (~until5(s256))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11425])).
% 4.85/3.67 tff(11427,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s256) | (~until5(s256)) | xuntil6(s256))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s256) | node4(s256) | (~until5(s256)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11426, 11424])).
% 4.85/3.67 tff(11428,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s256) | (~until5(s256)) | xuntil6(s256))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11429,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s256) | node4(s256) | (~until5(s256))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11428, 11427])).
% 4.85/3.67 tff(11430,plain,
% 4.85/3.67 (xuntil6(s256)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11429, 155, 11423, 11404])).
% 4.85/3.67 tff(11431,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11432,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11433,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s256, s257)) | (~xuntil6(s256)) | until5(s257)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11432, 11431])).
% 4.85/3.67 tff(11434,plain,
% 4.85/3.67 ((~xuntil6(s256)) | until5(s257)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11433, 4777, 173])).
% 4.85/3.67 tff(11435,plain,
% 4.85/3.67 (until5(s257)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11434, 11430])).
% 4.85/3.67 tff(11436,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s257) | (~node4(s257)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s257) | (~node4(s257)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11437,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s257) | (~node4(s257)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11438,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s257) | (~node4(s257))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11437, 11436])).
% 4.85/3.67 tff(11439,plain,
% 4.85/3.67 (~node4(s257)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11438, 35, 11399])).
% 4.85/3.67 tff(11440,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s257) | node4(s257) | (~until5(s257)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s257) | node4(s257) | (~until5(s257)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11441,plain,
% 4.85/3.67 ((node4(s257) | (~until5(s257)) | xuntil6(s257)) <=> (xuntil6(s257) | node4(s257) | (~until5(s257)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11442,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s257) | (~until5(s257)) | xuntil6(s257))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s257) | node4(s257) | (~until5(s257))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11441])).
% 4.85/3.67 tff(11443,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s257) | (~until5(s257)) | xuntil6(s257))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s257) | node4(s257) | (~until5(s257)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11442, 11440])).
% 4.85/3.67 tff(11444,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s257) | (~until5(s257)) | xuntil6(s257))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11445,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s257) | node4(s257) | (~until5(s257))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 4.85/3.67 tff(11446,plain,
% 4.85/3.67 (xuntil6(s257) | (~until5(s257))),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11445, 155, 11439])).
% 4.85/3.67 tff(11447,plain,
% 4.85/3.67 (xuntil6(s257)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11446, 11435])).
% 4.85/3.67 tff(11448,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11449,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11450,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s257, s258)) | (~xuntil6(s257)) | until5(s258)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11449, 11448])).
% 4.85/3.67 tff(11451,plain,
% 4.85/3.67 ((~xuntil6(s257)) | until5(s258)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11450, 4765, 173])).
% 4.85/3.67 tff(11452,plain,
% 4.85/3.67 (until5(s258)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11451, 11447])).
% 4.85/3.67 tff(11453,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s258) | (~node4(s258)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s258) | (~node4(s258)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11454,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s258) | (~node4(s258)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11455,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s258) | (~node4(s258))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11454, 11453])).
% 4.85/3.67 tff(11456,plain,
% 4.85/3.67 (~node4(s258)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11455, 35, 11398])).
% 4.85/3.67 tff(11457,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s258) | node4(s258) | (~until5(s258)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s258) | node4(s258) | (~until5(s258)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11458,plain,
% 4.85/3.67 ((node4(s258) | (~until5(s258)) | xuntil6(s258)) <=> (xuntil6(s258) | node4(s258) | (~until5(s258)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11459,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s258) | (~until5(s258)) | xuntil6(s258))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s258) | node4(s258) | (~until5(s258))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11458])).
% 4.85/3.67 tff(11460,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s258) | (~until5(s258)) | xuntil6(s258))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s258) | node4(s258) | (~until5(s258)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11459, 11457])).
% 4.85/3.67 tff(11461,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s258) | (~until5(s258)) | xuntil6(s258))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11462,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s258) | node4(s258) | (~until5(s258))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11461, 11460])).
% 4.85/3.67 tff(11463,plain,
% 4.85/3.67 (xuntil6(s258) | (~until5(s258))),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11462, 155, 11456])).
% 4.85/3.67 tff(11464,plain,
% 4.85/3.67 (xuntil6(s258)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11463, 11452])).
% 4.85/3.67 tff(11465,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11466,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11467,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s258, s259)) | (~xuntil6(s258)) | until5(s259)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11466, 11465])).
% 4.85/3.67 tff(11468,plain,
% 4.85/3.67 ((~xuntil6(s258)) | until5(s259)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11467, 4753, 173])).
% 4.85/3.67 tff(11469,plain,
% 4.85/3.67 (until5(s259)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11468, 11464])).
% 4.85/3.67 tff(11470,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s259) | (~node4(s259)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s259) | (~node4(s259)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11471,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s259) | (~node4(s259)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11472,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s259) | (~node4(s259))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11471, 11470])).
% 4.85/3.67 tff(11473,plain,
% 4.85/3.67 (~node4(s259)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11472, 35, 11397])).
% 4.85/3.67 tff(11474,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s259) | node4(s259) | (~until5(s259)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s259) | node4(s259) | (~until5(s259)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11475,plain,
% 4.85/3.67 ((node4(s259) | (~until5(s259)) | xuntil6(s259)) <=> (xuntil6(s259) | node4(s259) | (~until5(s259)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11476,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s259) | (~until5(s259)) | xuntil6(s259))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s259) | node4(s259) | (~until5(s259))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11475])).
% 4.85/3.67 tff(11477,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s259) | (~until5(s259)) | xuntil6(s259))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s259) | node4(s259) | (~until5(s259)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11476, 11474])).
% 4.85/3.67 tff(11478,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s259) | (~until5(s259)) | xuntil6(s259))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11479,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s259) | node4(s259) | (~until5(s259))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11478, 11477])).
% 4.85/3.67 tff(11480,plain,
% 4.85/3.67 (xuntil6(s259) | (~until5(s259))),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11479, 155, 11473])).
% 4.85/3.67 tff(11481,plain,
% 4.85/3.67 (xuntil6(s259)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11480, 11469])).
% 4.85/3.67 tff(11482,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11483,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11484,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s259, s260)) | (~xuntil6(s259)) | until5(s260)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11483, 11482])).
% 4.85/3.67 tff(11485,plain,
% 4.85/3.67 ((~xuntil6(s259)) | until5(s260)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11484, 4741, 173])).
% 4.85/3.67 tff(11486,plain,
% 4.85/3.67 (until5(s260)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11485, 11481])).
% 4.85/3.67 tff(11487,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s260) | (~node4(s260)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s260) | (~node4(s260)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11488,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s260) | (~node4(s260)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11489,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s260) | (~node4(s260))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11488, 11487])).
% 4.85/3.67 tff(11490,plain,
% 4.85/3.67 (~node4(s260)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11489, 35, 11396])).
% 4.85/3.67 tff(11491,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s260) | node4(s260) | (~until5(s260)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s260) | node4(s260) | (~until5(s260)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11492,plain,
% 4.85/3.67 ((node4(s260) | (~until5(s260)) | xuntil6(s260)) <=> (xuntil6(s260) | node4(s260) | (~until5(s260)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11493,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s260) | (~until5(s260)) | xuntil6(s260))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s260) | node4(s260) | (~until5(s260))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11492])).
% 4.85/3.67 tff(11494,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s260) | (~until5(s260)) | xuntil6(s260))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s260) | node4(s260) | (~until5(s260)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11493, 11491])).
% 4.85/3.67 tff(11495,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s260) | (~until5(s260)) | xuntil6(s260))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11496,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s260) | node4(s260) | (~until5(s260))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11495, 11494])).
% 4.85/3.67 tff(11497,plain,
% 4.85/3.67 (xuntil6(s260) | (~until5(s260))),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11496, 155, 11490])).
% 4.85/3.67 tff(11498,plain,
% 4.85/3.67 (xuntil6(s260)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11497, 11486])).
% 4.85/3.67 tff(11499,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11500,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11501,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s260, s261)) | (~xuntil6(s260)) | until5(s261)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11500, 11499])).
% 4.85/3.67 tff(11502,plain,
% 4.85/3.67 ((~xuntil6(s260)) | until5(s261)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11501, 4729, 173])).
% 4.85/3.67 tff(11503,plain,
% 4.85/3.67 (until5(s261)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11502, 11498])).
% 4.85/3.67 tff(11504,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s261) | (~node4(s261)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s261) | (~node4(s261)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11505,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s261) | (~node4(s261)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11506,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s261) | (~node4(s261))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11505, 11504])).
% 4.85/3.67 tff(11507,plain,
% 4.85/3.67 (~node4(s261)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11506, 35, 11395])).
% 4.85/3.67 tff(11508,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s261) | node4(s261) | (~until5(s261)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s261) | node4(s261) | (~until5(s261)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11509,plain,
% 4.85/3.67 ((node4(s261) | (~until5(s261)) | xuntil6(s261)) <=> (xuntil6(s261) | node4(s261) | (~until5(s261)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11510,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s261) | (~until5(s261)) | xuntil6(s261))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s261) | node4(s261) | (~until5(s261))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11509])).
% 4.85/3.67 tff(11511,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s261) | (~until5(s261)) | xuntil6(s261))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s261) | node4(s261) | (~until5(s261)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11510, 11508])).
% 4.85/3.67 tff(11512,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s261) | (~until5(s261)) | xuntil6(s261))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11513,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s261) | node4(s261) | (~until5(s261))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11512, 11511])).
% 4.85/3.67 tff(11514,plain,
% 4.85/3.67 (xuntil6(s261) | (~until5(s261))),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11513, 155, 11507])).
% 4.85/3.67 tff(11515,plain,
% 4.85/3.67 (xuntil6(s261)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11514, 11503])).
% 4.85/3.67 tff(11516,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11517,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11518,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s261, s262)) | (~xuntil6(s261)) | until5(s262)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11517, 11516])).
% 4.85/3.67 tff(11519,plain,
% 4.85/3.67 ((~xuntil6(s261)) | until5(s262)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11518, 4717, 173])).
% 4.85/3.67 tff(11520,plain,
% 4.85/3.67 ($false),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11519, 11515, 11394])).
% 4.85/3.67 tff(11521,plain,(always3(s268) | (~until5(s255)) | xuntil6(s268)), inference(lemma,lemma(discharge,[]))).
% 4.85/3.67 tff(11522,plain,
% 4.85/3.67 (xuntil6(s268)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11521, 11273, 4642])).
% 4.85/3.67 tff(11523,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11524,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11525,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s268, s269)) | (~xuntil6(s268)) | until5(s269)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11524, 11523])).
% 4.85/3.67 tff(11526,plain,
% 4.85/3.67 ((~xuntil6(s268)) | until5(s269)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11525, 4633, 173])).
% 4.85/3.67 tff(11527,plain,
% 4.85/3.67 (until5(s269)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11526, 11522])).
% 4.85/3.67 tff(11528,assumption,(until5(s269)), introduced(assumption)).
% 4.85/3.67 tff(11529,assumption,(~xuntil6(s270)), introduced(assumption)).
% 4.85/3.67 tff(11530,assumption,(~always3(s270)), introduced(assumption)).
% 4.85/3.67 tff(11531,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s270) | (~node4(s270)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s270) | (~node4(s270)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11532,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s270) | (~node4(s270)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11533,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s270) | (~node4(s270))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11532, 11531])).
% 4.85/3.67 tff(11534,plain,
% 4.85/3.67 (~node4(s270)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11533, 35, 11530])).
% 4.85/3.67 tff(11535,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s270) | node4(s270) | (~until5(s270)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s270) | node4(s270) | (~until5(s270)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11536,plain,
% 4.85/3.67 ((node4(s270) | (~until5(s270)) | xuntil6(s270)) <=> (xuntil6(s270) | node4(s270) | (~until5(s270)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11537,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s270) | (~until5(s270)) | xuntil6(s270))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s270) | node4(s270) | (~until5(s270))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11536])).
% 4.85/3.67 tff(11538,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s270) | (~until5(s270)) | xuntil6(s270))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s270) | node4(s270) | (~until5(s270)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11537, 11535])).
% 4.85/3.67 tff(11539,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s270) | (~until5(s270)) | xuntil6(s270))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11540,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s270) | node4(s270) | (~until5(s270))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11539, 11538])).
% 4.85/3.67 tff(11541,plain,
% 4.85/3.67 (node4(s270) | (~until5(s270))),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11540, 155, 11529])).
% 4.85/3.67 tff(11542,plain,
% 4.85/3.67 (~until5(s270)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11541, 11534])).
% 4.85/3.67 tff(11543,plain,
% 4.85/3.67 (~always3(s269)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[4629, 11530])).
% 4.85/3.67 tff(11544,plain,
% 4.85/3.67 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s269) | (~node4(s269)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s269) | (~node4(s269)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11545,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s269) | (~node4(s269)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11546,plain,
% 4.85/3.67 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s269) | (~node4(s269))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11545, 11544])).
% 4.85/3.67 tff(11547,plain,
% 4.85/3.67 (~node4(s269)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11546, 35, 11543])).
% 4.85/3.67 tff(11548,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s269) | node4(s269) | (~until5(s269)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s269) | node4(s269) | (~until5(s269)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11549,plain,
% 4.85/3.67 ((node4(s269) | (~until5(s269)) | xuntil6(s269)) <=> (xuntil6(s269) | node4(s269) | (~until5(s269)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11550,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s269) | (~until5(s269)) | xuntil6(s269))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s269) | node4(s269) | (~until5(s269))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11549])).
% 4.85/3.67 tff(11551,plain,
% 4.85/3.67 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s269) | (~until5(s269)) | xuntil6(s269))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s269) | node4(s269) | (~until5(s269)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11550, 11548])).
% 4.85/3.67 tff(11552,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s269) | (~until5(s269)) | xuntil6(s269))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11553,plain,
% 4.85/3.67 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s269) | node4(s269) | (~until5(s269))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 4.85/3.67 tff(11554,plain,
% 4.85/3.67 (xuntil6(s269) | node4(s269)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11553, 155, 11528])).
% 4.85/3.67 tff(11555,plain,
% 4.85/3.67 (xuntil6(s269)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11554, 11547])).
% 4.85/3.67 tff(11556,plain,
% 4.85/3.67 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11557,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11558,plain,
% 4.85/3.67 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s269, s270)) | (~xuntil6(s269)) | until5(s270)),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11557, 11556])).
% 4.85/3.67 tff(11559,plain,
% 4.85/3.67 ((~xuntil6(s269)) | until5(s270)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11558, 4621, 173])).
% 4.85/3.67 tff(11560,plain,
% 4.85/3.67 ($false),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11559, 11555, 11542])).
% 4.85/3.67 tff(11561,plain,(always3(s270) | (~until5(s269)) | xuntil6(s270)), inference(lemma,lemma(discharge,[]))).
% 4.85/3.67 tff(11562,plain,
% 4.85/3.67 (always3(s270)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11561, 11529, 11528])).
% 4.85/3.67 tff(11563,plain,
% 4.85/3.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s270)) | (~m_main_v_state(s270, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s270)) | (~m_main_v_state(s270, c_busy)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11564,plain,
% 4.85/3.67 (((~m_main_v_state(s270, c_busy)) | (~always3(s270))) <=> ((~always3(s270)) | (~m_main_v_state(s270, c_busy)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11565,plain,
% 4.85/3.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s270, c_busy)) | (~always3(s270)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s270)) | (~m_main_v_state(s270, c_busy))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11564])).
% 4.85/3.67 tff(11566,plain,
% 4.85/3.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s270, c_busy)) | (~always3(s270)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s270)) | (~m_main_v_state(s270, c_busy)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11565, 11563])).
% 4.85/3.67 tff(11567,plain,
% 4.85/3.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s270, c_busy)) | (~always3(s270)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11568,plain,
% 4.85/3.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s270)) | (~m_main_v_state(s270, c_busy))),
% 4.85/3.67 inference(modus_ponens,[status(thm)],[11567, 11566])).
% 4.85/3.67 tff(11569,plain,
% 4.85/3.67 (~m_main_v_state(s270, c_busy)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[11568, 75, 11562])).
% 4.85/3.67 tff(11570,plain,
% 4.85/3.67 (always3(s271)),
% 4.85/3.67 inference(unit_resolution,[status(thm)],[4617, 11562])).
% 4.85/3.67 tff(11571,plain,
% 4.85/3.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s271)) | (~m_main_v_state(s271, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s271)) | (~m_main_v_state(s271, c_busy)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11572,plain,
% 4.85/3.67 (((~m_main_v_state(s271, c_busy)) | (~always3(s271))) <=> ((~always3(s271)) | (~m_main_v_state(s271, c_busy)))),
% 4.85/3.67 inference(rewrite,[status(thm)],[])).
% 4.85/3.67 tff(11573,plain,
% 4.85/3.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s271, c_busy)) | (~always3(s271)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s271)) | (~m_main_v_state(s271, c_busy))))),
% 4.85/3.67 inference(monotonicity,[status(thm)],[11572])).
% 4.85/3.67 tff(11574,plain,
% 4.85/3.67 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s271, c_busy)) | (~always3(s271)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s271)) | (~m_main_v_state(s271, c_busy)))),
% 4.85/3.67 inference(transitivity,[status(thm)],[11573, 11571])).
% 4.85/3.67 tff(11575,plain,
% 4.85/3.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s271, c_busy)) | (~always3(s271)))),
% 4.85/3.67 inference(quant_inst,[status(thm)],[])).
% 4.85/3.67 tff(11576,plain,
% 4.85/3.67 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s271)) | (~m_main_v_state(s271, c_busy))),
% 4.91/3.67 inference(modus_ponens,[status(thm)],[11575, 11574])).
% 4.91/3.67 tff(11577,plain,
% 4.91/3.67 (~m_main_v_state(s271, c_busy)),
% 4.91/3.67 inference(unit_resolution,[status(thm)],[11576, 75, 11570])).
% 4.91/3.67 tff(11578,plain,
% 4.91/3.67 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s270, c_busy) | m_main_v_state(s270, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s270, c_busy) | m_main_v_state(s270, c_ready))),
% 4.91/3.67 inference(rewrite,[status(thm)],[])).
% 4.91/3.67 tff(11579,plain,
% 4.91/3.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s270, c_busy) | m_main_v_state(s270, c_ready))),
% 4.91/3.67 inference(quant_inst,[status(thm)],[])).
% 4.91/3.67 tff(11580,plain,
% 4.91/3.67 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s270, c_busy) | m_main_v_state(s270, c_ready)),
% 4.91/3.67 inference(modus_ponens,[status(thm)],[11579, 11578])).
% 4.91/3.67 tff(11581,plain,
% 4.91/3.67 (m_main_v_state(s270, c_ready)),
% 4.91/3.67 inference(unit_resolution,[status(thm)],[11580, 118, 11569])).
% 4.91/3.67 tff(11582,plain,
% 4.91/3.67 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s270, s271)) | node2(s270, s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s270, s271)) | node2(s270, s271))),
% 4.91/3.67 inference(rewrite,[status(thm)],[])).
% 4.91/3.67 tff(11583,plain,
% 4.91/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s270, s271)) | node2(s270, s271))),
% 4.91/3.67 inference(quant_inst,[status(thm)],[])).
% 4.91/3.67 tff(11584,plain,
% 4.91/3.67 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s270, s271)) | node2(s270, s271)),
% 4.91/3.67 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 4.91/3.67 tff(11585,plain,
% 4.91/3.67 (node2(s270, s271)),
% 4.91/3.67 inference(unit_resolution,[status(thm)],[11584, 7, 4613])).
% 4.91/3.67 tff(11586,plain,
% 4.91/3.67 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s270, c_ready)) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s270, c_ready)) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270)))),
% 4.91/3.67 inference(rewrite,[status(thm)],[])).
% 4.91/3.67 tff(11587,plain,
% 4.91/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s270, c_ready)) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270)))),
% 4.91/3.67 inference(quant_inst,[status(thm)],[])).
% 4.91/3.67 tff(11588,plain,
% 4.91/3.67 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s270, c_ready)) | (~node2(s270, s271)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270))),
% 4.91/3.67 inference(modus_ponens,[status(thm)],[11587, 11586])).
% 4.91/3.67 tff(11589,plain,
% 4.91/3.67 ((~m_main_v_state(s270, c_ready)) | m_main_v_state(s271, c_busy) | (~m_main_v_request(s270))),
% 4.91/3.67 inference(unit_resolution,[status(thm)],[11588, 96, 11585])).
% 4.91/3.67 tff(11590,plain,
% 4.91/3.67 (~m_main_v_request(s270)),
% 4.91/3.67 inference(unit_resolution,[status(thm)],[11589, 11581, 11577])).
% 4.91/3.67 tff(11591,plain,
% 4.91/3.67 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s270) | (~node4(s270)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s270) | (~node4(s270)))),
% 4.91/3.67 inference(rewrite,[status(thm)],[])).
% 4.91/3.67 tff(11592,plain,
% 4.91/3.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s270) | (~node4(s270)))),
% 4.91/3.67 inference(quant_inst,[status(thm)],[])).
% 4.91/3.67 tff(11593,plain,
% 4.91/3.67 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s270) | (~node4(s270))),
% 4.91/3.67 inference(modus_ponens,[status(thm)],[11592, 11591])).
% 4.91/3.67 tff(11594,plain,
% 4.91/3.67 (~node4(s270)),
% 4.91/3.67 inference(unit_resolution,[status(thm)],[11593, 17, 11590])).
% 4.91/3.67 tff(11595,plain,
% 4.91/3.68 (~until5(s270)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11541, 11594])).
% 4.91/3.68 tff(11596,plain,
% 4.91/3.68 (~xuntil6(s269)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11559, 11595])).
% 4.91/3.68 tff(11597,plain,
% 4.91/3.68 (node4(s269)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11554, 11596])).
% 4.91/3.68 tff(11598,plain,
% 4.91/3.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s269) | (~node4(s269)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s269) | (~node4(s269)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11599,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s269) | (~node4(s269)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11600,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s269) | (~node4(s269))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11599, 11598])).
% 4.91/3.68 tff(11601,plain,
% 4.91/3.68 (m_main_v_request(s269)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11600, 17, 11597])).
% 4.91/3.68 tff(11602,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s269, s270)) | node2(s269, s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s269, s270)) | node2(s269, s270))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11603,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s269, s270)) | node2(s269, s270))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11604,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s269, s270)) | node2(s269, s270)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11603, 11602])).
% 4.91/3.68 tff(11605,plain,
% 4.91/3.68 (node2(s269, s270)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11604, 7, 4625])).
% 4.91/3.68 tff(11606,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s269, c_ready)) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s269, c_ready)) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11607,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s269, c_ready)) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11608,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s269, c_ready)) | (~node2(s269, s270)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11607, 11606])).
% 4.91/3.68 tff(11609,plain,
% 4.91/3.68 ((~m_main_v_state(s269, c_ready)) | m_main_v_state(s270, c_busy) | (~m_main_v_request(s269))),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11608, 96, 11605])).
% 4.91/3.68 tff(11610,plain,
% 4.91/3.68 (~m_main_v_state(s269, c_ready)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11609, 11601, 11569])).
% 4.91/3.68 tff(11611,plain,
% 4.91/3.68 (always3(s269)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11546, 35, 11597])).
% 4.91/3.68 tff(11612,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s269)) | (~m_main_v_state(s269, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s269)) | (~m_main_v_state(s269, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11613,plain,
% 4.91/3.68 (((~m_main_v_state(s269, c_busy)) | (~always3(s269))) <=> ((~always3(s269)) | (~m_main_v_state(s269, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11614,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s269, c_busy)) | (~always3(s269)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s269)) | (~m_main_v_state(s269, c_busy))))),
% 4.91/3.68 inference(monotonicity,[status(thm)],[11613])).
% 4.91/3.68 tff(11615,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s269, c_busy)) | (~always3(s269)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s269)) | (~m_main_v_state(s269, c_busy)))),
% 4.91/3.68 inference(transitivity,[status(thm)],[11614, 11612])).
% 4.91/3.68 tff(11616,plain,
% 4.91/3.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s269, c_busy)) | (~always3(s269)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11617,plain,
% 4.91/3.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s269)) | (~m_main_v_state(s269, c_busy))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11616, 11615])).
% 4.91/3.68 tff(11618,plain,
% 4.91/3.68 (~m_main_v_state(s269, c_busy)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11617, 75, 11611])).
% 4.91/3.68 tff(11619,plain,
% 4.91/3.68 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11620,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11621,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s269, c_busy) | m_main_v_state(s269, c_ready)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11620, 11619])).
% 4.91/3.68 tff(11622,plain,
% 4.91/3.68 ($false),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11621, 118, 11618, 11610])).
% 4.91/3.68 tff(11623,plain,(xuntil6(s270) | (~until5(s269))), inference(lemma,lemma(discharge,[]))).
% 4.91/3.68 tff(11624,plain,
% 4.91/3.68 (xuntil6(s270)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11623, 11527])).
% 4.91/3.68 tff(11625,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11626,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11627,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s270, s271)) | (~xuntil6(s270)) | until5(s271)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11626, 11625])).
% 4.91/3.68 tff(11628,plain,
% 4.91/3.68 ((~xuntil6(s270)) | until5(s271)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11627, 4609, 173])).
% 4.91/3.68 tff(11629,plain,
% 4.91/3.68 (until5(s271)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11628, 11624])).
% 4.91/3.68 tff(11630,plain,
% 4.91/3.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s271) | (~node4(s271)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s271) | (~node4(s271)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11631,plain,
% 4.91/3.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s271) | (~node4(s271)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11632,plain,
% 4.91/3.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s271) | (~node4(s271))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11631, 11630])).
% 4.91/3.68 tff(11633,plain,
% 4.91/3.68 (~node4(s271)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11632, 35, 4606])).
% 4.91/3.68 tff(11634,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s271) | node4(s271) | (~until5(s271)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s271) | node4(s271) | (~until5(s271)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11635,plain,
% 4.91/3.68 ((node4(s271) | (~until5(s271)) | xuntil6(s271)) <=> (xuntil6(s271) | node4(s271) | (~until5(s271)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11636,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s271) | (~until5(s271)) | xuntil6(s271))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s271) | node4(s271) | (~until5(s271))))),
% 4.91/3.68 inference(monotonicity,[status(thm)],[11635])).
% 4.91/3.68 tff(11637,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s271) | (~until5(s271)) | xuntil6(s271))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s271) | node4(s271) | (~until5(s271)))),
% 4.91/3.68 inference(transitivity,[status(thm)],[11636, 11634])).
% 4.91/3.68 tff(11638,plain,
% 4.91/3.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s271) | (~until5(s271)) | xuntil6(s271))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11639,plain,
% 4.91/3.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s271) | node4(s271) | (~until5(s271))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11638, 11637])).
% 4.91/3.68 tff(11640,plain,
% 4.91/3.68 (xuntil6(s271) | (~until5(s271))),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11639, 155, 11633])).
% 4.91/3.68 tff(11641,plain,
% 4.91/3.68 (xuntil6(s271)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11640, 11629])).
% 4.91/3.68 tff(11642,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11643,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11644,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s271, s272)) | (~xuntil6(s271)) | until5(s272)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11643, 11642])).
% 4.91/3.68 tff(11645,plain,
% 4.91/3.68 ((~xuntil6(s271)) | until5(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11644, 4597, 173])).
% 4.91/3.68 tff(11646,plain,
% 4.91/3.68 (until5(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11645, 11641])).
% 4.91/3.68 tff(11647,assumption,(until5(s272)), introduced(assumption)).
% 4.91/3.68 tff(11648,assumption,(~xuntil6(s274)), introduced(assumption)).
% 4.91/3.68 tff(11649,assumption,(~always3(s274)), introduced(assumption)).
% 4.91/3.68 tff(11650,plain,
% 4.91/3.68 (~always3(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[4581, 11649])).
% 4.91/3.68 tff(11651,plain,
% 4.91/3.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s273) | (~node4(s273)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s273) | (~node4(s273)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11652,plain,
% 4.91/3.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s273) | (~node4(s273)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11653,plain,
% 4.91/3.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s273) | (~node4(s273))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11652, 11651])).
% 4.91/3.68 tff(11654,plain,
% 4.91/3.68 (~node4(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11653, 35, 11650])).
% 4.91/3.68 tff(11655,plain,
% 4.91/3.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s274) | (~node4(s274)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s274) | (~node4(s274)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11656,plain,
% 4.91/3.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s274) | (~node4(s274)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11657,plain,
% 4.91/3.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s274) | (~node4(s274))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11656, 11655])).
% 4.91/3.68 tff(11658,plain,
% 4.91/3.68 (~node4(s274)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11657, 35, 11649])).
% 4.91/3.68 tff(11659,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s274) | node4(s274) | (~until5(s274)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s274) | node4(s274) | (~until5(s274)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11660,plain,
% 4.91/3.68 ((node4(s274) | (~until5(s274)) | xuntil6(s274)) <=> (xuntil6(s274) | node4(s274) | (~until5(s274)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11661,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s274) | (~until5(s274)) | xuntil6(s274))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s274) | node4(s274) | (~until5(s274))))),
% 4.91/3.68 inference(monotonicity,[status(thm)],[11660])).
% 4.91/3.68 tff(11662,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s274) | (~until5(s274)) | xuntil6(s274))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s274) | node4(s274) | (~until5(s274)))),
% 4.91/3.68 inference(transitivity,[status(thm)],[11661, 11659])).
% 4.91/3.68 tff(11663,plain,
% 4.91/3.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s274) | (~until5(s274)) | xuntil6(s274))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11664,plain,
% 4.91/3.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s274) | node4(s274) | (~until5(s274))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11663, 11662])).
% 4.91/3.68 tff(11665,plain,
% 4.91/3.68 (node4(s274) | (~until5(s274))),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11664, 155, 11648])).
% 4.91/3.68 tff(11666,plain,
% 4.91/3.68 (~until5(s274)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11665, 11658])).
% 4.91/3.68 tff(11667,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11668,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11669,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s273, s274)) | (~xuntil6(s273)) | until5(s274)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11668, 11667])).
% 4.91/3.68 tff(11670,plain,
% 4.91/3.68 ((~xuntil6(s273)) | until5(s274)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11669, 4573, 173])).
% 4.91/3.68 tff(11671,plain,
% 4.91/3.68 (~xuntil6(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11670, 11666])).
% 4.91/3.68 tff(11672,plain,
% 4.91/3.68 (~always3(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[4593, 11650])).
% 4.91/3.68 tff(11673,plain,
% 4.91/3.68 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s272) | (~node4(s272)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s272) | (~node4(s272)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11674,plain,
% 4.91/3.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s272) | (~node4(s272)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11675,plain,
% 4.91/3.68 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s272) | (~node4(s272))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11674, 11673])).
% 4.91/3.68 tff(11676,plain,
% 4.91/3.68 (~node4(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11675, 35, 11672])).
% 4.91/3.68 tff(11677,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s272) | node4(s272) | (~until5(s272)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s272) | node4(s272) | (~until5(s272)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11678,plain,
% 4.91/3.68 ((node4(s272) | (~until5(s272)) | xuntil6(s272)) <=> (xuntil6(s272) | node4(s272) | (~until5(s272)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11679,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s272) | (~until5(s272)) | xuntil6(s272))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s272) | node4(s272) | (~until5(s272))))),
% 4.91/3.68 inference(monotonicity,[status(thm)],[11678])).
% 4.91/3.68 tff(11680,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s272) | (~until5(s272)) | xuntil6(s272))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s272) | node4(s272) | (~until5(s272)))),
% 4.91/3.68 inference(transitivity,[status(thm)],[11679, 11677])).
% 4.91/3.68 tff(11681,plain,
% 4.91/3.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s272) | (~until5(s272)) | xuntil6(s272))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11682,plain,
% 4.91/3.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s272) | node4(s272) | (~until5(s272))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11681, 11680])).
% 4.91/3.68 tff(11683,plain,
% 4.91/3.68 (xuntil6(s272) | node4(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11682, 155, 11647])).
% 4.91/3.68 tff(11684,plain,
% 4.91/3.68 (xuntil6(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11683, 11676])).
% 4.91/3.68 tff(11685,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11686,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11687,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s272, s273)) | (~xuntil6(s272)) | until5(s273)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 4.91/3.68 tff(11688,plain,
% 4.91/3.68 ((~xuntil6(s272)) | until5(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11687, 4585, 173])).
% 4.91/3.68 tff(11689,plain,
% 4.91/3.68 (until5(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11688, 11684])).
% 4.91/3.68 tff(11690,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s273) | node4(s273) | (~until5(s273)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s273) | node4(s273) | (~until5(s273)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11691,plain,
% 4.91/3.68 ((node4(s273) | (~until5(s273)) | xuntil6(s273)) <=> (xuntil6(s273) | node4(s273) | (~until5(s273)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11692,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s273) | (~until5(s273)) | xuntil6(s273))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s273) | node4(s273) | (~until5(s273))))),
% 4.91/3.68 inference(monotonicity,[status(thm)],[11691])).
% 4.91/3.68 tff(11693,plain,
% 4.91/3.68 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s273) | (~until5(s273)) | xuntil6(s273))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s273) | node4(s273) | (~until5(s273)))),
% 4.91/3.68 inference(transitivity,[status(thm)],[11692, 11690])).
% 4.91/3.68 tff(11694,plain,
% 4.91/3.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s273) | (~until5(s273)) | xuntil6(s273))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11695,plain,
% 4.91/3.68 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s273) | node4(s273) | (~until5(s273))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11694, 11693])).
% 4.91/3.68 tff(11696,plain,
% 4.91/3.68 ($false),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11695, 155, 11689, 11671, 11654])).
% 4.91/3.68 tff(11697,plain,(always3(s274) | (~until5(s272)) | xuntil6(s274)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.68 tff(11698,plain,
% 4.91/3.68 (always3(s274)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11697, 11648, 11647])).
% 4.91/3.68 tff(11699,plain,
% 4.91/3.68 (always3(s275)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[4569, 11698])).
% 4.91/3.68 tff(11700,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s275)) | (~m_main_v_state(s275, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s275)) | (~m_main_v_state(s275, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11701,plain,
% 4.91/3.68 (((~m_main_v_state(s275, c_busy)) | (~always3(s275))) <=> ((~always3(s275)) | (~m_main_v_state(s275, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11702,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s275, c_busy)) | (~always3(s275)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s275)) | (~m_main_v_state(s275, c_busy))))),
% 4.91/3.68 inference(monotonicity,[status(thm)],[11701])).
% 4.91/3.68 tff(11703,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s275, c_busy)) | (~always3(s275)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s275)) | (~m_main_v_state(s275, c_busy)))),
% 4.91/3.68 inference(transitivity,[status(thm)],[11702, 11700])).
% 4.91/3.68 tff(11704,plain,
% 4.91/3.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s275, c_busy)) | (~always3(s275)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11705,plain,
% 4.91/3.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s275)) | (~m_main_v_state(s275, c_busy))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 4.91/3.68 tff(11706,plain,
% 4.91/3.68 (~m_main_v_state(s275, c_busy)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11705, 75, 11699])).
% 4.91/3.68 tff(11707,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s274)) | (~m_main_v_state(s274, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s274)) | (~m_main_v_state(s274, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11708,plain,
% 4.91/3.68 (((~m_main_v_state(s274, c_busy)) | (~always3(s274))) <=> ((~always3(s274)) | (~m_main_v_state(s274, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11709,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s274, c_busy)) | (~always3(s274)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s274)) | (~m_main_v_state(s274, c_busy))))),
% 4.91/3.68 inference(monotonicity,[status(thm)],[11708])).
% 4.91/3.68 tff(11710,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s274, c_busy)) | (~always3(s274)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s274)) | (~m_main_v_state(s274, c_busy)))),
% 4.91/3.68 inference(transitivity,[status(thm)],[11709, 11707])).
% 4.91/3.68 tff(11711,plain,
% 4.91/3.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s274, c_busy)) | (~always3(s274)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11712,plain,
% 4.91/3.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s274)) | (~m_main_v_state(s274, c_busy))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11711, 11710])).
% 4.91/3.68 tff(11713,plain,
% 4.91/3.68 (~m_main_v_state(s274, c_busy)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11712, 75, 11698])).
% 4.91/3.68 tff(11714,plain,
% 4.91/3.68 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s274, c_busy) | m_main_v_state(s274, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s274, c_busy) | m_main_v_state(s274, c_ready))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11715,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s274, c_busy) | m_main_v_state(s274, c_ready))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11716,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s274, c_busy) | m_main_v_state(s274, c_ready)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11715, 11714])).
% 4.91/3.68 tff(11717,plain,
% 4.91/3.68 (m_main_v_state(s274, c_ready)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11716, 118, 11713])).
% 4.91/3.68 tff(11718,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s274, s275)) | node2(s274, s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s274, s275)) | node2(s274, s275))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11719,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s274, s275)) | node2(s274, s275))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11720,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s274, s275)) | node2(s274, s275)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11719, 11718])).
% 4.91/3.68 tff(11721,plain,
% 4.91/3.68 (node2(s274, s275)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11720, 7, 4565])).
% 4.91/3.68 tff(11722,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s274, c_ready)) | (~node2(s274, s275)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s274, c_ready)) | (~node2(s274, s275)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11723,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s274, c_ready)) | (~node2(s274, s275)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11724,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s274, c_ready)) | (~node2(s274, s275)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11723, 11722])).
% 4.91/3.68 tff(11725,plain,
% 4.91/3.68 ((~m_main_v_state(s274, c_ready)) | m_main_v_state(s275, c_busy) | (~m_main_v_request(s274))),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11724, 96, 11721])).
% 4.91/3.68 tff(11726,plain,
% 4.91/3.68 (~m_main_v_request(s274)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11725, 11717, 11706])).
% 4.91/3.68 tff(11727,plain,
% 4.91/3.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s274) | (~node4(s274)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s274) | (~node4(s274)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11728,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s274) | (~node4(s274)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11729,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s274) | (~node4(s274))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11728, 11727])).
% 4.91/3.68 tff(11730,plain,
% 4.91/3.68 (~node4(s274)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11729, 17, 11726])).
% 4.91/3.68 tff(11731,plain,
% 4.91/3.68 (~until5(s274)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11665, 11730])).
% 4.91/3.68 tff(11732,plain,
% 4.91/3.68 (~xuntil6(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11670, 11731])).
% 4.91/3.68 tff(11733,assumption,(~always3(s273)), introduced(assumption)).
% 4.91/3.68 tff(11734,plain,
% 4.91/3.68 (~always3(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[4593, 11733])).
% 4.91/3.68 tff(11735,plain,
% 4.91/3.68 (~node4(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11675, 35, 11734])).
% 4.91/3.68 tff(11736,plain,
% 4.91/3.68 (xuntil6(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11683, 11735])).
% 4.91/3.68 tff(11737,plain,
% 4.91/3.68 (until5(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11688, 11736])).
% 4.91/3.68 tff(11738,assumption,(~xuntil6(s273)), introduced(assumption)).
% 4.91/3.68 tff(11739,plain,
% 4.91/3.68 (node4(s273) | (~until5(s273))),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11695, 155, 11738])).
% 4.91/3.68 tff(11740,plain,
% 4.91/3.68 (node4(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11739, 11737])).
% 4.91/3.68 tff(11741,plain,
% 4.91/3.68 ($false),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11653, 35, 11733, 11740])).
% 4.91/3.68 tff(11742,plain,(always3(s273) | xuntil6(s273) | (~until5(s272))), inference(lemma,lemma(discharge,[]))).
% 4.91/3.68 tff(11743,plain,
% 4.91/3.68 (always3(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11742, 11732, 11647])).
% 4.91/3.68 tff(11744,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s273)) | (~m_main_v_state(s273, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s273)) | (~m_main_v_state(s273, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11745,plain,
% 4.91/3.68 (((~m_main_v_state(s273, c_busy)) | (~always3(s273))) <=> ((~always3(s273)) | (~m_main_v_state(s273, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11746,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s273, c_busy)) | (~always3(s273)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s273)) | (~m_main_v_state(s273, c_busy))))),
% 4.91/3.68 inference(monotonicity,[status(thm)],[11745])).
% 4.91/3.68 tff(11747,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s273, c_busy)) | (~always3(s273)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s273)) | (~m_main_v_state(s273, c_busy)))),
% 4.91/3.68 inference(transitivity,[status(thm)],[11746, 11744])).
% 4.91/3.68 tff(11748,plain,
% 4.91/3.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s273, c_busy)) | (~always3(s273)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11749,plain,
% 4.91/3.68 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s273)) | (~m_main_v_state(s273, c_busy))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11748, 11747])).
% 4.91/3.68 tff(11750,plain,
% 4.91/3.68 (~m_main_v_state(s273, c_busy)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11749, 75, 11743])).
% 4.91/3.68 tff(11751,plain,
% 4.91/3.68 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11752,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11753,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s273, c_busy) | m_main_v_state(s273, c_ready)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11752, 11751])).
% 4.91/3.68 tff(11754,plain,
% 4.91/3.68 (m_main_v_state(s273, c_ready)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11753, 118, 11750])).
% 4.91/3.68 tff(11755,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s273, s274)) | node2(s273, s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s273, s274)) | node2(s273, s274))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11756,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s273, s274)) | node2(s273, s274))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11757,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s273, s274)) | node2(s273, s274)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11756, 11755])).
% 4.91/3.68 tff(11758,plain,
% 4.91/3.68 (node2(s273, s274)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11757, 7, 4577])).
% 4.91/3.68 tff(11759,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s273, c_ready)) | (~node2(s273, s274)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s273, c_ready)) | (~node2(s273, s274)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11760,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s273, c_ready)) | (~node2(s273, s274)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11761,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s273, c_ready)) | (~node2(s273, s274)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11760, 11759])).
% 4.91/3.68 tff(11762,plain,
% 4.91/3.68 ((~m_main_v_state(s273, c_ready)) | m_main_v_state(s274, c_busy) | (~m_main_v_request(s273))),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11761, 96, 11758])).
% 4.91/3.68 tff(11763,plain,
% 4.91/3.68 (~m_main_v_request(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11762, 11754, 11713])).
% 4.91/3.68 tff(11764,plain,
% 4.91/3.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s273) | (~node4(s273)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s273) | (~node4(s273)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11765,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s273) | (~node4(s273)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11766,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s273) | (~node4(s273))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11765, 11764])).
% 4.91/3.68 tff(11767,plain,
% 4.91/3.68 (~node4(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11766, 17, 11763])).
% 4.91/3.68 tff(11768,plain,
% 4.91/3.68 (node4(s273) | (~until5(s273))),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11695, 155, 11732])).
% 4.91/3.68 tff(11769,plain,
% 4.91/3.68 (~until5(s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11768, 11767])).
% 4.91/3.68 tff(11770,plain,
% 4.91/3.68 (~xuntil6(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11688, 11769])).
% 4.91/3.68 tff(11771,plain,
% 4.91/3.68 (node4(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11683, 11770])).
% 4.91/3.68 tff(11772,plain,
% 4.91/3.68 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s272) | (~node4(s272)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s272) | (~node4(s272)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11773,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s272) | (~node4(s272)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11774,plain,
% 4.91/3.68 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s272) | (~node4(s272))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11773, 11772])).
% 4.91/3.68 tff(11775,plain,
% 4.91/3.68 (m_main_v_request(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11774, 17, 11771])).
% 4.91/3.68 tff(11776,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s272, s273)) | node2(s272, s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s272, s273)) | node2(s272, s273))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11777,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s272, s273)) | node2(s272, s273))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11778,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s272, s273)) | node2(s272, s273)),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11777, 11776])).
% 4.91/3.68 tff(11779,plain,
% 4.91/3.68 (node2(s272, s273)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11778, 7, 4589])).
% 4.91/3.68 tff(11780,plain,
% 4.91/3.68 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s272, c_ready)) | (~node2(s272, s273)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s272, c_ready)) | (~node2(s272, s273)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11781,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s272, c_ready)) | (~node2(s272, s273)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272)))),
% 4.91/3.68 inference(quant_inst,[status(thm)],[])).
% 4.91/3.68 tff(11782,plain,
% 4.91/3.68 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s272, c_ready)) | (~node2(s272, s273)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272))),
% 4.91/3.68 inference(modus_ponens,[status(thm)],[11781, 11780])).
% 4.91/3.68 tff(11783,plain,
% 4.91/3.68 ((~m_main_v_state(s272, c_ready)) | m_main_v_state(s273, c_busy) | (~m_main_v_request(s272))),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11782, 96, 11779])).
% 4.91/3.68 tff(11784,plain,
% 4.91/3.68 (~m_main_v_state(s272, c_ready)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11783, 11775, 11750])).
% 4.91/3.68 tff(11785,plain,
% 4.91/3.68 (always3(s272)),
% 4.91/3.68 inference(unit_resolution,[status(thm)],[11675, 35, 11771])).
% 4.91/3.68 tff(11786,plain,
% 4.91/3.68 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s272)) | (~m_main_v_state(s272, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s272)) | (~m_main_v_state(s272, c_busy)))),
% 4.91/3.68 inference(rewrite,[status(thm)],[])).
% 4.91/3.68 tff(11787,plain,
% 4.91/3.68 (((~m_main_v_state(s272, c_busy)) | (~always3(s272))) <=> ((~always3(s272)) | (~m_main_v_state(s272, c_busy)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11788,plain,
% 4.91/3.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s272, c_busy)) | (~always3(s272)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s272)) | (~m_main_v_state(s272, c_busy))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11787])).
% 4.91/3.69 tff(11789,plain,
% 4.91/3.69 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s272, c_busy)) | (~always3(s272)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s272)) | (~m_main_v_state(s272, c_busy)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11788, 11786])).
% 4.91/3.69 tff(11790,plain,
% 4.91/3.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s272, c_busy)) | (~always3(s272)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11791,plain,
% 4.91/3.69 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s272)) | (~m_main_v_state(s272, c_busy))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11790, 11789])).
% 4.91/3.69 tff(11792,plain,
% 4.91/3.69 (~m_main_v_state(s272, c_busy)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11791, 75, 11785])).
% 4.91/3.69 tff(11793,plain,
% 4.91/3.69 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11794,plain,
% 4.91/3.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11795,plain,
% 4.91/3.69 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s272, c_busy) | m_main_v_state(s272, c_ready)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11794, 11793])).
% 4.91/3.69 tff(11796,plain,
% 4.91/3.69 ($false),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11795, 118, 11792, 11784])).
% 4.91/3.69 tff(11797,plain,(xuntil6(s274) | (~until5(s272))), inference(lemma,lemma(discharge,[]))).
% 4.91/3.69 tff(11798,plain,
% 4.91/3.69 (xuntil6(s274)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11797, 11646])).
% 4.91/3.69 tff(11799,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11800,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11801,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s274, s275)) | (~xuntil6(s274)) | until5(s275)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11800, 11799])).
% 4.91/3.69 tff(11802,plain,
% 4.91/3.69 ((~xuntil6(s274)) | until5(s275)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11801, 4561, 173])).
% 4.91/3.69 tff(11803,plain,
% 4.91/3.69 (until5(s275)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11802, 11798])).
% 4.91/3.69 tff(11804,assumption,(~always3(s287)), introduced(assumption)).
% 4.91/3.69 tff(11805,plain,
% 4.91/3.69 (~always3(s286)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4425, 11804])).
% 4.91/3.69 tff(11806,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s286) | (~node4(s286)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s286) | (~node4(s286)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11807,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s286) | (~node4(s286)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11808,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s286) | (~node4(s286))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11807, 11806])).
% 4.91/3.69 tff(11809,plain,
% 4.91/3.69 (~node4(s286)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11808, 35, 11805])).
% 4.91/3.69 tff(11810,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s287) | (~node4(s287)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s287) | (~node4(s287)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11811,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s287) | (~node4(s287)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11812,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s287) | (~node4(s287))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11811, 11810])).
% 4.91/3.69 tff(11813,plain,
% 4.91/3.69 (~node4(s287)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11812, 35, 11804])).
% 4.91/3.69 tff(11814,assumption,(~xuntil6(s287)), introduced(assumption)).
% 4.91/3.69 tff(11815,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s287) | node4(s287) | (~until5(s287)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s287) | node4(s287) | (~until5(s287)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11816,plain,
% 4.91/3.69 ((node4(s287) | (~until5(s287)) | xuntil6(s287)) <=> (xuntil6(s287) | node4(s287) | (~until5(s287)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11817,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s287) | (~until5(s287)) | xuntil6(s287))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s287) | node4(s287) | (~until5(s287))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11816])).
% 4.91/3.69 tff(11818,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s287) | (~until5(s287)) | xuntil6(s287))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s287) | node4(s287) | (~until5(s287)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11817, 11815])).
% 4.91/3.69 tff(11819,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s287) | (~until5(s287)) | xuntil6(s287))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11820,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s287) | node4(s287) | (~until5(s287))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11819, 11818])).
% 4.91/3.69 tff(11821,plain,
% 4.91/3.69 (node4(s287) | (~until5(s287))),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11820, 155, 11814])).
% 4.91/3.69 tff(11822,plain,
% 4.91/3.69 (~until5(s287)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11821, 11813])).
% 4.91/3.69 tff(11823,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11824,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11825,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s286, s287)) | (~xuntil6(s286)) | until5(s287)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11824, 11823])).
% 4.91/3.69 tff(11826,plain,
% 4.91/3.69 ((~xuntil6(s286)) | until5(s287)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11825, 4417, 173])).
% 4.91/3.69 tff(11827,plain,
% 4.91/3.69 (~xuntil6(s286)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11826, 11822])).
% 4.91/3.69 tff(11828,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s286) | node4(s286) | (~until5(s286)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s286) | node4(s286) | (~until5(s286)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11829,plain,
% 4.91/3.69 ((node4(s286) | (~until5(s286)) | xuntil6(s286)) <=> (xuntil6(s286) | node4(s286) | (~until5(s286)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11830,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s286) | (~until5(s286)) | xuntil6(s286))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s286) | node4(s286) | (~until5(s286))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11829])).
% 4.91/3.69 tff(11831,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s286) | (~until5(s286)) | xuntil6(s286))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s286) | node4(s286) | (~until5(s286)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11830, 11828])).
% 4.91/3.69 tff(11832,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s286) | (~until5(s286)) | xuntil6(s286))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11833,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s286) | node4(s286) | (~until5(s286))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11832, 11831])).
% 4.91/3.69 tff(11834,plain,
% 4.91/3.69 (~until5(s286)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11833, 155, 11827, 11809])).
% 4.91/3.69 tff(11835,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11836,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11837,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s285, s286)) | (~xuntil6(s285)) | until5(s286)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11836, 11835])).
% 4.91/3.69 tff(11838,plain,
% 4.91/3.69 ((~xuntil6(s285)) | until5(s286)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11837, 4429, 173])).
% 4.91/3.69 tff(11839,plain,
% 4.91/3.69 (~xuntil6(s285)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11838, 11834])).
% 4.91/3.69 tff(11840,plain,
% 4.91/3.69 (~always3(s285)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4437, 11805])).
% 4.91/3.69 tff(11841,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s285) | (~node4(s285)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s285) | (~node4(s285)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11842,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s285) | (~node4(s285)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11843,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s285) | (~node4(s285))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11842, 11841])).
% 4.91/3.69 tff(11844,plain,
% 4.91/3.69 (~node4(s285)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11843, 35, 11840])).
% 4.91/3.69 tff(11845,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s285) | node4(s285) | (~until5(s285)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s285) | node4(s285) | (~until5(s285)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11846,plain,
% 4.91/3.69 ((node4(s285) | (~until5(s285)) | xuntil6(s285)) <=> (xuntil6(s285) | node4(s285) | (~until5(s285)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11847,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s285) | (~until5(s285)) | xuntil6(s285))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s285) | node4(s285) | (~until5(s285))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11846])).
% 4.91/3.69 tff(11848,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s285) | (~until5(s285)) | xuntil6(s285))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s285) | node4(s285) | (~until5(s285)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11847, 11845])).
% 4.91/3.69 tff(11849,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s285) | (~until5(s285)) | xuntil6(s285))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11850,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s285) | node4(s285) | (~until5(s285))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11849, 11848])).
% 4.91/3.69 tff(11851,plain,
% 4.91/3.69 (xuntil6(s285) | (~until5(s285))),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11850, 155, 11844])).
% 4.91/3.69 tff(11852,plain,
% 4.91/3.69 (~until5(s285)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11851, 11839])).
% 4.91/3.69 tff(11853,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11854,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11855,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s284, s285)) | (~xuntil6(s284)) | until5(s285)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11854, 11853])).
% 4.91/3.69 tff(11856,plain,
% 4.91/3.69 ((~xuntil6(s284)) | until5(s285)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11855, 4441, 173])).
% 4.91/3.69 tff(11857,plain,
% 4.91/3.69 (~xuntil6(s284)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11856, 11852])).
% 4.91/3.69 tff(11858,plain,
% 4.91/3.69 (~always3(s284)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4449, 11840])).
% 4.91/3.69 tff(11859,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s284) | (~node4(s284)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s284) | (~node4(s284)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11860,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s284) | (~node4(s284)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11861,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s284) | (~node4(s284))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11860, 11859])).
% 4.91/3.69 tff(11862,plain,
% 4.91/3.69 (~node4(s284)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11861, 35, 11858])).
% 4.91/3.69 tff(11863,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s284) | node4(s284) | (~until5(s284)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s284) | node4(s284) | (~until5(s284)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11864,plain,
% 4.91/3.69 ((node4(s284) | (~until5(s284)) | xuntil6(s284)) <=> (xuntil6(s284) | node4(s284) | (~until5(s284)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11865,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s284) | (~until5(s284)) | xuntil6(s284))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s284) | node4(s284) | (~until5(s284))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11864])).
% 4.91/3.69 tff(11866,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s284) | (~until5(s284)) | xuntil6(s284))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s284) | node4(s284) | (~until5(s284)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11865, 11863])).
% 4.91/3.69 tff(11867,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s284) | (~until5(s284)) | xuntil6(s284))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11868,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s284) | node4(s284) | (~until5(s284))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11867, 11866])).
% 4.91/3.69 tff(11869,plain,
% 4.91/3.69 (xuntil6(s284) | (~until5(s284))),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11868, 155, 11862])).
% 4.91/3.69 tff(11870,plain,
% 4.91/3.69 (~until5(s284)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11869, 11857])).
% 4.91/3.69 tff(11871,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11872,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11873,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s283, s284)) | (~xuntil6(s283)) | until5(s284)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 4.91/3.69 tff(11874,plain,
% 4.91/3.69 ((~xuntil6(s283)) | until5(s284)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11873, 4453, 173])).
% 4.91/3.69 tff(11875,plain,
% 4.91/3.69 (~xuntil6(s283)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11874, 11870])).
% 4.91/3.69 tff(11876,plain,
% 4.91/3.69 (~always3(s283)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4461, 11858])).
% 4.91/3.69 tff(11877,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s283) | (~node4(s283)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s283) | (~node4(s283)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11878,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s283) | (~node4(s283)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11879,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s283) | (~node4(s283))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11878, 11877])).
% 4.91/3.69 tff(11880,plain,
% 4.91/3.69 (~node4(s283)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11879, 35, 11876])).
% 4.91/3.69 tff(11881,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s283) | node4(s283) | (~until5(s283)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s283) | node4(s283) | (~until5(s283)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11882,plain,
% 4.91/3.69 ((node4(s283) | (~until5(s283)) | xuntil6(s283)) <=> (xuntil6(s283) | node4(s283) | (~until5(s283)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11883,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s283) | (~until5(s283)) | xuntil6(s283))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s283) | node4(s283) | (~until5(s283))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11882])).
% 4.91/3.69 tff(11884,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s283) | (~until5(s283)) | xuntil6(s283))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s283) | node4(s283) | (~until5(s283)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11883, 11881])).
% 4.91/3.69 tff(11885,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s283) | (~until5(s283)) | xuntil6(s283))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11886,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s283) | node4(s283) | (~until5(s283))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11885, 11884])).
% 4.91/3.69 tff(11887,plain,
% 4.91/3.69 (xuntil6(s283) | (~until5(s283))),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11886, 155, 11880])).
% 4.91/3.69 tff(11888,plain,
% 4.91/3.69 (~until5(s283)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11887, 11875])).
% 4.91/3.69 tff(11889,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11890,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11891,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s282, s283)) | (~xuntil6(s282)) | until5(s283)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11890, 11889])).
% 4.91/3.69 tff(11892,plain,
% 4.91/3.69 ((~xuntil6(s282)) | until5(s283)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11891, 4465, 173])).
% 4.91/3.69 tff(11893,plain,
% 4.91/3.69 (~xuntil6(s282)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11892, 11888])).
% 4.91/3.69 tff(11894,plain,
% 4.91/3.69 (~always3(s282)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4473, 11876])).
% 4.91/3.69 tff(11895,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s282) | (~node4(s282)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s282) | (~node4(s282)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11896,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s282) | (~node4(s282)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11897,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s282) | (~node4(s282))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11896, 11895])).
% 4.91/3.69 tff(11898,plain,
% 4.91/3.69 (~node4(s282)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11897, 35, 11894])).
% 4.91/3.69 tff(11899,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s282) | node4(s282) | (~until5(s282)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s282) | node4(s282) | (~until5(s282)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11900,plain,
% 4.91/3.69 ((node4(s282) | (~until5(s282)) | xuntil6(s282)) <=> (xuntil6(s282) | node4(s282) | (~until5(s282)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11901,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s282) | (~until5(s282)) | xuntil6(s282))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s282) | node4(s282) | (~until5(s282))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11900])).
% 4.91/3.69 tff(11902,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s282) | (~until5(s282)) | xuntil6(s282))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s282) | node4(s282) | (~until5(s282)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11901, 11899])).
% 4.91/3.69 tff(11903,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s282) | (~until5(s282)) | xuntil6(s282))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11904,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s282) | node4(s282) | (~until5(s282))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11903, 11902])).
% 4.91/3.69 tff(11905,plain,
% 4.91/3.69 (xuntil6(s282) | (~until5(s282))),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11904, 155, 11898])).
% 4.91/3.69 tff(11906,plain,
% 4.91/3.69 (~until5(s282)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11905, 11893])).
% 4.91/3.69 tff(11907,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11908,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11909,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s281, s282)) | (~xuntil6(s281)) | until5(s282)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11908, 11907])).
% 4.91/3.69 tff(11910,plain,
% 4.91/3.69 ((~xuntil6(s281)) | until5(s282)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11909, 4477, 173])).
% 4.91/3.69 tff(11911,plain,
% 4.91/3.69 (~xuntil6(s281)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11910, 11906])).
% 4.91/3.69 tff(11912,plain,
% 4.91/3.69 (~always3(s281)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4485, 11894])).
% 4.91/3.69 tff(11913,plain,
% 4.91/3.69 (~always3(s280)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4497, 11912])).
% 4.91/3.69 tff(11914,plain,
% 4.91/3.69 (~always3(s279)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4509, 11913])).
% 4.91/3.69 tff(11915,plain,
% 4.91/3.69 (~always3(s278)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4521, 11914])).
% 4.91/3.69 tff(11916,plain,
% 4.91/3.69 (~always3(s277)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4533, 11915])).
% 4.91/3.69 tff(11917,plain,
% 4.91/3.69 (~always3(s276)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4545, 11916])).
% 4.91/3.69 tff(11918,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s276) | (~node4(s276)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s276) | (~node4(s276)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11919,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s276) | (~node4(s276)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11920,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s276) | (~node4(s276))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11919, 11918])).
% 4.91/3.69 tff(11921,plain,
% 4.91/3.69 (~node4(s276)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11920, 35, 11917])).
% 4.91/3.69 tff(11922,plain,
% 4.91/3.69 (~always3(s275)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[4557, 11917])).
% 4.91/3.69 tff(11923,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s275) | (~node4(s275)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s275) | (~node4(s275)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11924,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s275) | (~node4(s275)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11925,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s275) | (~node4(s275))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11924, 11923])).
% 4.91/3.69 tff(11926,plain,
% 4.91/3.69 (~node4(s275)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11925, 35, 11922])).
% 4.91/3.69 tff(11927,assumption,(until5(s275)), introduced(assumption)).
% 4.91/3.69 tff(11928,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s275) | node4(s275) | (~until5(s275)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s275) | node4(s275) | (~until5(s275)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11929,plain,
% 4.91/3.69 ((node4(s275) | (~until5(s275)) | xuntil6(s275)) <=> (xuntil6(s275) | node4(s275) | (~until5(s275)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11930,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s275) | (~until5(s275)) | xuntil6(s275))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s275) | node4(s275) | (~until5(s275))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11929])).
% 4.91/3.69 tff(11931,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s275) | (~until5(s275)) | xuntil6(s275))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s275) | node4(s275) | (~until5(s275)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11930, 11928])).
% 4.91/3.69 tff(11932,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s275) | (~until5(s275)) | xuntil6(s275))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11933,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s275) | node4(s275) | (~until5(s275))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11932, 11931])).
% 4.91/3.69 tff(11934,plain,
% 4.91/3.69 (xuntil6(s275) | node4(s275)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11933, 155, 11927])).
% 4.91/3.69 tff(11935,plain,
% 4.91/3.69 (xuntil6(s275)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11934, 11926])).
% 4.91/3.69 tff(11936,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11937,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11938,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s275, s276)) | (~xuntil6(s275)) | until5(s276)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11937, 11936])).
% 4.91/3.69 tff(11939,plain,
% 4.91/3.69 ((~xuntil6(s275)) | until5(s276)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11938, 4549, 173])).
% 4.91/3.69 tff(11940,plain,
% 4.91/3.69 (until5(s276)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11939, 11935])).
% 4.91/3.69 tff(11941,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s276) | node4(s276) | (~until5(s276)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s276) | node4(s276) | (~until5(s276)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11942,plain,
% 4.91/3.69 ((node4(s276) | (~until5(s276)) | xuntil6(s276)) <=> (xuntil6(s276) | node4(s276) | (~until5(s276)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11943,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s276) | (~until5(s276)) | xuntil6(s276))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s276) | node4(s276) | (~until5(s276))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11942])).
% 4.91/3.69 tff(11944,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s276) | (~until5(s276)) | xuntil6(s276))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s276) | node4(s276) | (~until5(s276)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11943, 11941])).
% 4.91/3.69 tff(11945,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s276) | (~until5(s276)) | xuntil6(s276))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11946,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s276) | node4(s276) | (~until5(s276))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11945, 11944])).
% 4.91/3.69 tff(11947,plain,
% 4.91/3.69 (xuntil6(s276)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11946, 155, 11940, 11921])).
% 4.91/3.69 tff(11948,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11949,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11950,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s276, s277)) | (~xuntil6(s276)) | until5(s277)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 4.91/3.69 tff(11951,plain,
% 4.91/3.69 ((~xuntil6(s276)) | until5(s277)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11950, 4537, 173])).
% 4.91/3.69 tff(11952,plain,
% 4.91/3.69 (until5(s277)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11951, 11947])).
% 4.91/3.69 tff(11953,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s277) | (~node4(s277)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s277) | (~node4(s277)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11954,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s277) | (~node4(s277)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11955,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s277) | (~node4(s277))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11954, 11953])).
% 4.91/3.69 tff(11956,plain,
% 4.91/3.69 (~node4(s277)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11955, 35, 11916])).
% 4.91/3.69 tff(11957,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s277) | node4(s277) | (~until5(s277)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s277) | node4(s277) | (~until5(s277)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11958,plain,
% 4.91/3.69 ((node4(s277) | (~until5(s277)) | xuntil6(s277)) <=> (xuntil6(s277) | node4(s277) | (~until5(s277)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11959,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s277) | (~until5(s277)) | xuntil6(s277))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s277) | node4(s277) | (~until5(s277))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11958])).
% 4.91/3.69 tff(11960,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s277) | (~until5(s277)) | xuntil6(s277))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s277) | node4(s277) | (~until5(s277)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11959, 11957])).
% 4.91/3.69 tff(11961,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s277) | (~until5(s277)) | xuntil6(s277))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11962,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s277) | node4(s277) | (~until5(s277))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11961, 11960])).
% 4.91/3.69 tff(11963,plain,
% 4.91/3.69 (xuntil6(s277) | (~until5(s277))),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11962, 155, 11956])).
% 4.91/3.69 tff(11964,plain,
% 4.91/3.69 (xuntil6(s277)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11963, 11952])).
% 4.91/3.69 tff(11965,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11966,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11967,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s277, s278)) | (~xuntil6(s277)) | until5(s278)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11966, 11965])).
% 4.91/3.69 tff(11968,plain,
% 4.91/3.69 ((~xuntil6(s277)) | until5(s278)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11967, 4525, 173])).
% 4.91/3.69 tff(11969,plain,
% 4.91/3.69 (until5(s278)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11968, 11964])).
% 4.91/3.69 tff(11970,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s278) | (~node4(s278)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s278) | (~node4(s278)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11971,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s278) | (~node4(s278)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11972,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s278) | (~node4(s278))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11971, 11970])).
% 4.91/3.69 tff(11973,plain,
% 4.91/3.69 (~node4(s278)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11972, 35, 11915])).
% 4.91/3.69 tff(11974,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s278) | node4(s278) | (~until5(s278)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s278) | node4(s278) | (~until5(s278)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11975,plain,
% 4.91/3.69 ((node4(s278) | (~until5(s278)) | xuntil6(s278)) <=> (xuntil6(s278) | node4(s278) | (~until5(s278)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11976,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s278) | (~until5(s278)) | xuntil6(s278))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s278) | node4(s278) | (~until5(s278))))),
% 4.91/3.69 inference(monotonicity,[status(thm)],[11975])).
% 4.91/3.69 tff(11977,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s278) | (~until5(s278)) | xuntil6(s278))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s278) | node4(s278) | (~until5(s278)))),
% 4.91/3.69 inference(transitivity,[status(thm)],[11976, 11974])).
% 4.91/3.69 tff(11978,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s278) | (~until5(s278)) | xuntil6(s278))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11979,plain,
% 4.91/3.69 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s278) | node4(s278) | (~until5(s278))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11978, 11977])).
% 4.91/3.69 tff(11980,plain,
% 4.91/3.69 (xuntil6(s278) | (~until5(s278))),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11979, 155, 11973])).
% 4.91/3.69 tff(11981,plain,
% 4.91/3.69 (xuntil6(s278)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11980, 11969])).
% 4.91/3.69 tff(11982,plain,
% 4.91/3.69 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11983,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11984,plain,
% 4.91/3.69 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s278, s279)) | (~xuntil6(s278)) | until5(s279)),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11983, 11982])).
% 4.91/3.69 tff(11985,plain,
% 4.91/3.69 ((~xuntil6(s278)) | until5(s279)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11984, 4513, 173])).
% 4.91/3.69 tff(11986,plain,
% 4.91/3.69 (until5(s279)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11985, 11981])).
% 4.91/3.69 tff(11987,plain,
% 4.91/3.69 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s279) | (~node4(s279)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s279) | (~node4(s279)))),
% 4.91/3.69 inference(rewrite,[status(thm)],[])).
% 4.91/3.69 tff(11988,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s279) | (~node4(s279)))),
% 4.91/3.69 inference(quant_inst,[status(thm)],[])).
% 4.91/3.69 tff(11989,plain,
% 4.91/3.69 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s279) | (~node4(s279))),
% 4.91/3.69 inference(modus_ponens,[status(thm)],[11988, 11987])).
% 4.91/3.69 tff(11990,plain,
% 4.91/3.69 (~node4(s279)),
% 4.91/3.69 inference(unit_resolution,[status(thm)],[11989, 35, 11914])).
% 4.91/3.69 tff(11991,plain,
% 4.91/3.69 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s279) | node4(s279) | (~until5(s279)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s279) | node4(s279) | (~until5(s279)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(11992,plain,
% 4.91/3.70 ((node4(s279) | (~until5(s279)) | xuntil6(s279)) <=> (xuntil6(s279) | node4(s279) | (~until5(s279)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(11993,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s279) | (~until5(s279)) | xuntil6(s279))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s279) | node4(s279) | (~until5(s279))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[11992])).
% 4.91/3.70 tff(11994,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s279) | (~until5(s279)) | xuntil6(s279))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s279) | node4(s279) | (~until5(s279)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[11993, 11991])).
% 4.91/3.70 tff(11995,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s279) | (~until5(s279)) | xuntil6(s279))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(11996,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s279) | node4(s279) | (~until5(s279))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[11995, 11994])).
% 4.91/3.70 tff(11997,plain,
% 4.91/3.70 (xuntil6(s279) | (~until5(s279))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[11996, 155, 11990])).
% 4.91/3.70 tff(11998,plain,
% 4.91/3.70 (xuntil6(s279)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[11997, 11986])).
% 4.91/3.70 tff(11999,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12000,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12001,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s279, s280)) | (~xuntil6(s279)) | until5(s280)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12000, 11999])).
% 4.91/3.70 tff(12002,plain,
% 4.91/3.70 ((~xuntil6(s279)) | until5(s280)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12001, 4501, 173])).
% 4.91/3.70 tff(12003,plain,
% 4.91/3.70 (until5(s280)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12002, 11998])).
% 4.91/3.70 tff(12004,plain,
% 4.91/3.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s280) | (~node4(s280)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s280) | (~node4(s280)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12005,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s280) | (~node4(s280)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12006,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s280) | (~node4(s280))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12005, 12004])).
% 4.91/3.70 tff(12007,plain,
% 4.91/3.70 (~node4(s280)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12006, 35, 11913])).
% 4.91/3.70 tff(12008,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s280) | node4(s280) | (~until5(s280)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s280) | node4(s280) | (~until5(s280)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12009,plain,
% 4.91/3.70 ((node4(s280) | (~until5(s280)) | xuntil6(s280)) <=> (xuntil6(s280) | node4(s280) | (~until5(s280)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12010,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s280) | (~until5(s280)) | xuntil6(s280))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s280) | node4(s280) | (~until5(s280))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12009])).
% 4.91/3.70 tff(12011,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s280) | (~until5(s280)) | xuntil6(s280))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s280) | node4(s280) | (~until5(s280)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12010, 12008])).
% 4.91/3.70 tff(12012,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s280) | (~until5(s280)) | xuntil6(s280))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12013,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s280) | node4(s280) | (~until5(s280))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12012, 12011])).
% 4.91/3.70 tff(12014,plain,
% 4.91/3.70 (xuntil6(s280) | (~until5(s280))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12013, 155, 12007])).
% 4.91/3.70 tff(12015,plain,
% 4.91/3.70 (xuntil6(s280)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12014, 12003])).
% 4.91/3.70 tff(12016,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12017,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12018,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s280, s281)) | (~xuntil6(s280)) | until5(s281)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12017, 12016])).
% 4.91/3.70 tff(12019,plain,
% 4.91/3.70 ((~xuntil6(s280)) | until5(s281)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12018, 4489, 173])).
% 4.91/3.70 tff(12020,plain,
% 4.91/3.70 (until5(s281)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12019, 12015])).
% 4.91/3.70 tff(12021,plain,
% 4.91/3.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s281) | (~node4(s281)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s281) | (~node4(s281)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12022,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s281) | (~node4(s281)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12023,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s281) | (~node4(s281))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12022, 12021])).
% 4.91/3.70 tff(12024,plain,
% 4.91/3.70 (~node4(s281)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12023, 35, 11912])).
% 4.91/3.70 tff(12025,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s281) | node4(s281) | (~until5(s281)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s281) | node4(s281) | (~until5(s281)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12026,plain,
% 4.91/3.70 ((node4(s281) | (~until5(s281)) | xuntil6(s281)) <=> (xuntil6(s281) | node4(s281) | (~until5(s281)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12027,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s281) | (~until5(s281)) | xuntil6(s281))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s281) | node4(s281) | (~until5(s281))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12026])).
% 4.91/3.70 tff(12028,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s281) | (~until5(s281)) | xuntil6(s281))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s281) | node4(s281) | (~until5(s281)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12027, 12025])).
% 4.91/3.70 tff(12029,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s281) | (~until5(s281)) | xuntil6(s281))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12030,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s281) | node4(s281) | (~until5(s281))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12029, 12028])).
% 4.91/3.70 tff(12031,plain,
% 4.91/3.70 (xuntil6(s281) | (~until5(s281))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12030, 155, 12024])).
% 4.91/3.70 tff(12032,plain,
% 4.91/3.70 ($false),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12031, 12020, 11911])).
% 4.91/3.70 tff(12033,plain,(always3(s287) | (~until5(s275)) | xuntil6(s287)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.70 tff(12034,plain,
% 4.91/3.70 (xuntil6(s287)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12033, 11803, 4414])).
% 4.91/3.70 tff(12035,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12036,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12037,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s287, s288)) | (~xuntil6(s287)) | until5(s288)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12036, 12035])).
% 4.91/3.70 tff(12038,plain,
% 4.91/3.70 ((~xuntil6(s287)) | until5(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12037, 4405, 173])).
% 4.91/3.70 tff(12039,plain,
% 4.91/3.70 (until5(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12038, 12034])).
% 4.91/3.70 tff(12040,assumption,(until5(s288)), introduced(assumption)).
% 4.91/3.70 tff(12041,assumption,(~xuntil6(s289)), introduced(assumption)).
% 4.91/3.70 tff(12042,assumption,(~always3(s289)), introduced(assumption)).
% 4.91/3.70 tff(12043,plain,
% 4.91/3.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s289) | (~node4(s289)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s289) | (~node4(s289)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12044,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s289) | (~node4(s289)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12045,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s289) | (~node4(s289))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12044, 12043])).
% 4.91/3.70 tff(12046,plain,
% 4.91/3.70 (~node4(s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12045, 35, 12042])).
% 4.91/3.70 tff(12047,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s289) | node4(s289) | (~until5(s289)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s289) | node4(s289) | (~until5(s289)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12048,plain,
% 4.91/3.70 ((node4(s289) | (~until5(s289)) | xuntil6(s289)) <=> (xuntil6(s289) | node4(s289) | (~until5(s289)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12049,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s289) | (~until5(s289)) | xuntil6(s289))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s289) | node4(s289) | (~until5(s289))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12048])).
% 4.91/3.70 tff(12050,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s289) | (~until5(s289)) | xuntil6(s289))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s289) | node4(s289) | (~until5(s289)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12049, 12047])).
% 4.91/3.70 tff(12051,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s289) | (~until5(s289)) | xuntil6(s289))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12052,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s289) | node4(s289) | (~until5(s289))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12051, 12050])).
% 4.91/3.70 tff(12053,plain,
% 4.91/3.70 (node4(s289) | (~until5(s289))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12052, 155, 12041])).
% 4.91/3.70 tff(12054,plain,
% 4.91/3.70 (~until5(s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12053, 12046])).
% 4.91/3.70 tff(12055,plain,
% 4.91/3.70 (~always3(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[4401, 12042])).
% 4.91/3.70 tff(12056,plain,
% 4.91/3.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s288) | (~node4(s288)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s288) | (~node4(s288)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12057,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s288) | (~node4(s288)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12058,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s288) | (~node4(s288))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12057, 12056])).
% 4.91/3.70 tff(12059,plain,
% 4.91/3.70 (~node4(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12058, 35, 12055])).
% 4.91/3.70 tff(12060,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s288) | node4(s288) | (~until5(s288)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s288) | node4(s288) | (~until5(s288)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12061,plain,
% 4.91/3.70 ((node4(s288) | (~until5(s288)) | xuntil6(s288)) <=> (xuntil6(s288) | node4(s288) | (~until5(s288)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12062,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s288) | (~until5(s288)) | xuntil6(s288))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s288) | node4(s288) | (~until5(s288))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12061])).
% 4.91/3.70 tff(12063,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s288) | (~until5(s288)) | xuntil6(s288))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s288) | node4(s288) | (~until5(s288)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12062, 12060])).
% 4.91/3.70 tff(12064,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s288) | (~until5(s288)) | xuntil6(s288))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12065,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s288) | node4(s288) | (~until5(s288))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12064, 12063])).
% 4.91/3.70 tff(12066,plain,
% 4.91/3.70 (xuntil6(s288) | node4(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12065, 155, 12040])).
% 4.91/3.70 tff(12067,plain,
% 4.91/3.70 (xuntil6(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12066, 12059])).
% 4.91/3.70 tff(12068,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12069,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12070,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s288, s289)) | (~xuntil6(s288)) | until5(s289)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12069, 12068])).
% 4.91/3.70 tff(12071,plain,
% 4.91/3.70 ((~xuntil6(s288)) | until5(s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12070, 4393, 173])).
% 4.91/3.70 tff(12072,plain,
% 4.91/3.70 ($false),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12071, 12067, 12054])).
% 4.91/3.70 tff(12073,plain,(always3(s289) | (~until5(s288)) | xuntil6(s289)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.70 tff(12074,plain,
% 4.91/3.70 (always3(s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12073, 12041, 12040])).
% 4.91/3.70 tff(12075,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s289)) | (~m_main_v_state(s289, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s289)) | (~m_main_v_state(s289, c_busy)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12076,plain,
% 4.91/3.70 (((~m_main_v_state(s289, c_busy)) | (~always3(s289))) <=> ((~always3(s289)) | (~m_main_v_state(s289, c_busy)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12077,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s289, c_busy)) | (~always3(s289)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s289)) | (~m_main_v_state(s289, c_busy))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12076])).
% 4.91/3.70 tff(12078,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s289, c_busy)) | (~always3(s289)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s289)) | (~m_main_v_state(s289, c_busy)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12077, 12075])).
% 4.91/3.70 tff(12079,plain,
% 4.91/3.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s289, c_busy)) | (~always3(s289)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12080,plain,
% 4.91/3.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s289)) | (~m_main_v_state(s289, c_busy))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12079, 12078])).
% 4.91/3.70 tff(12081,plain,
% 4.91/3.70 (~m_main_v_state(s289, c_busy)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12080, 75, 12074])).
% 4.91/3.70 tff(12082,plain,
% 4.91/3.70 (always3(s290)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[4389, 12074])).
% 4.91/3.70 tff(12083,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s290)) | (~m_main_v_state(s290, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s290)) | (~m_main_v_state(s290, c_busy)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12084,plain,
% 4.91/3.70 (((~m_main_v_state(s290, c_busy)) | (~always3(s290))) <=> ((~always3(s290)) | (~m_main_v_state(s290, c_busy)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12085,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s290, c_busy)) | (~always3(s290)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s290)) | (~m_main_v_state(s290, c_busy))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12084])).
% 4.91/3.70 tff(12086,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s290, c_busy)) | (~always3(s290)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s290)) | (~m_main_v_state(s290, c_busy)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12085, 12083])).
% 4.91/3.70 tff(12087,plain,
% 4.91/3.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s290, c_busy)) | (~always3(s290)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12088,plain,
% 4.91/3.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s290)) | (~m_main_v_state(s290, c_busy))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12087, 12086])).
% 4.91/3.70 tff(12089,plain,
% 4.91/3.70 (~m_main_v_state(s290, c_busy)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12088, 75, 12082])).
% 4.91/3.70 tff(12090,plain,
% 4.91/3.70 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s289, c_busy) | m_main_v_state(s289, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s289, c_busy) | m_main_v_state(s289, c_ready))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12091,plain,
% 4.91/3.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s289, c_busy) | m_main_v_state(s289, c_ready))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12092,plain,
% 4.91/3.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s289, c_busy) | m_main_v_state(s289, c_ready)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12091, 12090])).
% 4.91/3.70 tff(12093,plain,
% 4.91/3.70 (m_main_v_state(s289, c_ready)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12092, 118, 12081])).
% 4.91/3.70 tff(12094,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s289, s290)) | node2(s289, s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s289, s290)) | node2(s289, s290))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12095,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s289, s290)) | node2(s289, s290))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12096,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s289, s290)) | node2(s289, s290)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 4.91/3.70 tff(12097,plain,
% 4.91/3.70 (node2(s289, s290)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12096, 7, 4385])).
% 4.91/3.70 tff(12098,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s289, c_ready)) | (~node2(s289, s290)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s289, c_ready)) | (~node2(s289, s290)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12099,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s289, c_ready)) | (~node2(s289, s290)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12100,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s289, c_ready)) | (~node2(s289, s290)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 4.91/3.70 tff(12101,plain,
% 4.91/3.70 ((~m_main_v_state(s289, c_ready)) | m_main_v_state(s290, c_busy) | (~m_main_v_request(s289))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12100, 96, 12097])).
% 4.91/3.70 tff(12102,plain,
% 4.91/3.70 (~m_main_v_request(s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12101, 12093, 12089])).
% 4.91/3.70 tff(12103,plain,
% 4.91/3.70 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s289) | (~node4(s289)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s289) | (~node4(s289)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12104,plain,
% 4.91/3.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s289) | (~node4(s289)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12105,plain,
% 4.91/3.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s289) | (~node4(s289))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12104, 12103])).
% 4.91/3.70 tff(12106,plain,
% 4.91/3.70 (~node4(s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12105, 17, 12102])).
% 4.91/3.70 tff(12107,plain,
% 4.91/3.70 (~until5(s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12053, 12106])).
% 4.91/3.70 tff(12108,plain,
% 4.91/3.70 (~xuntil6(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12071, 12107])).
% 4.91/3.70 tff(12109,plain,
% 4.91/3.70 (node4(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12066, 12108])).
% 4.91/3.70 tff(12110,plain,
% 4.91/3.70 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s288) | (~node4(s288)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s288) | (~node4(s288)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12111,plain,
% 4.91/3.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s288) | (~node4(s288)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12112,plain,
% 4.91/3.70 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s288) | (~node4(s288))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 4.91/3.70 tff(12113,plain,
% 4.91/3.70 (m_main_v_request(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12112, 17, 12109])).
% 4.91/3.70 tff(12114,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s288, s289)) | node2(s288, s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s288, s289)) | node2(s288, s289))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12115,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s288, s289)) | node2(s288, s289))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12116,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s288, s289)) | node2(s288, s289)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12115, 12114])).
% 4.91/3.70 tff(12117,plain,
% 4.91/3.70 (node2(s288, s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12116, 7, 4397])).
% 4.91/3.70 tff(12118,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12119,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12120,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s288, c_ready)) | (~node2(s288, s289)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12119, 12118])).
% 4.91/3.70 tff(12121,plain,
% 4.91/3.70 ((~m_main_v_state(s288, c_ready)) | m_main_v_state(s289, c_busy) | (~m_main_v_request(s288))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12120, 96, 12117])).
% 4.91/3.70 tff(12122,plain,
% 4.91/3.70 (~m_main_v_state(s288, c_ready)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12121, 12113, 12081])).
% 4.91/3.70 tff(12123,plain,
% 4.91/3.70 (always3(s288)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12058, 35, 12109])).
% 4.91/3.70 tff(12124,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s288)) | (~m_main_v_state(s288, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s288)) | (~m_main_v_state(s288, c_busy)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12125,plain,
% 4.91/3.70 (((~m_main_v_state(s288, c_busy)) | (~always3(s288))) <=> ((~always3(s288)) | (~m_main_v_state(s288, c_busy)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12126,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s288, c_busy)) | (~always3(s288)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s288)) | (~m_main_v_state(s288, c_busy))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12125])).
% 4.91/3.70 tff(12127,plain,
% 4.91/3.70 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s288, c_busy)) | (~always3(s288)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s288)) | (~m_main_v_state(s288, c_busy)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12126, 12124])).
% 4.91/3.70 tff(12128,plain,
% 4.91/3.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s288, c_busy)) | (~always3(s288)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12129,plain,
% 4.91/3.70 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s288)) | (~m_main_v_state(s288, c_busy))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12128, 12127])).
% 4.91/3.70 tff(12130,plain,
% 4.91/3.70 (~m_main_v_state(s288, c_busy)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12129, 75, 12123])).
% 4.91/3.70 tff(12131,plain,
% 4.91/3.70 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s288, c_busy) | m_main_v_state(s288, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s288, c_busy) | m_main_v_state(s288, c_ready))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12132,plain,
% 4.91/3.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s288, c_busy) | m_main_v_state(s288, c_ready))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12133,plain,
% 4.91/3.70 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s288, c_busy) | m_main_v_state(s288, c_ready)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12132, 12131])).
% 4.91/3.70 tff(12134,plain,
% 4.91/3.70 ($false),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12133, 118, 12130, 12122])).
% 4.91/3.70 tff(12135,plain,(xuntil6(s289) | (~until5(s288))), inference(lemma,lemma(discharge,[]))).
% 4.91/3.70 tff(12136,plain,
% 4.91/3.70 (xuntil6(s289)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12135, 12039])).
% 4.91/3.70 tff(12137,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12138,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12139,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s289, s290)) | (~xuntil6(s289)) | until5(s290)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12138, 12137])).
% 4.91/3.70 tff(12140,plain,
% 4.91/3.70 ((~xuntil6(s289)) | until5(s290)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12139, 4381, 173])).
% 4.91/3.70 tff(12141,plain,
% 4.91/3.70 (until5(s290)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12140, 12136])).
% 4.91/3.70 tff(12142,plain,
% 4.91/3.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s290) | (~node4(s290)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s290) | (~node4(s290)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12143,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s290) | (~node4(s290)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12144,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s290) | (~node4(s290))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12143, 12142])).
% 4.91/3.70 tff(12145,plain,
% 4.91/3.70 (~node4(s290)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12144, 35, 4378])).
% 4.91/3.70 tff(12146,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s290) | node4(s290) | (~until5(s290)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s290) | node4(s290) | (~until5(s290)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12147,plain,
% 4.91/3.70 ((node4(s290) | (~until5(s290)) | xuntil6(s290)) <=> (xuntil6(s290) | node4(s290) | (~until5(s290)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12148,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s290) | (~until5(s290)) | xuntil6(s290))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s290) | node4(s290) | (~until5(s290))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12147])).
% 4.91/3.70 tff(12149,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s290) | (~until5(s290)) | xuntil6(s290))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s290) | node4(s290) | (~until5(s290)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12148, 12146])).
% 4.91/3.70 tff(12150,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s290) | (~until5(s290)) | xuntil6(s290))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12151,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s290) | node4(s290) | (~until5(s290))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12150, 12149])).
% 4.91/3.70 tff(12152,plain,
% 4.91/3.70 (xuntil6(s290) | (~until5(s290))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12151, 155, 12145])).
% 4.91/3.70 tff(12153,plain,
% 4.91/3.70 (xuntil6(s290)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12152, 12141])).
% 4.91/3.70 tff(12154,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12155,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12156,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s290, s291)) | (~xuntil6(s290)) | until5(s291)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12155, 12154])).
% 4.91/3.70 tff(12157,plain,
% 4.91/3.70 ((~xuntil6(s290)) | until5(s291)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12156, 4369, 173])).
% 4.91/3.70 tff(12158,plain,
% 4.91/3.70 (until5(s291)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12157, 12153])).
% 4.91/3.70 tff(12159,plain,
% 4.91/3.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s291) | (~node4(s291)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s291) | (~node4(s291)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12160,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s291) | (~node4(s291)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12161,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s291) | (~node4(s291))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12160, 12159])).
% 4.91/3.70 tff(12162,plain,
% 4.91/3.70 (~node4(s291)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12161, 35, 4366])).
% 4.91/3.70 tff(12163,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s291) | node4(s291) | (~until5(s291)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s291) | node4(s291) | (~until5(s291)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12164,plain,
% 4.91/3.70 ((node4(s291) | (~until5(s291)) | xuntil6(s291)) <=> (xuntil6(s291) | node4(s291) | (~until5(s291)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12165,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s291) | (~until5(s291)) | xuntil6(s291))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s291) | node4(s291) | (~until5(s291))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12164])).
% 4.91/3.70 tff(12166,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s291) | (~until5(s291)) | xuntil6(s291))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s291) | node4(s291) | (~until5(s291)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12165, 12163])).
% 4.91/3.70 tff(12167,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s291) | (~until5(s291)) | xuntil6(s291))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12168,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s291) | node4(s291) | (~until5(s291))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12167, 12166])).
% 4.91/3.70 tff(12169,plain,
% 4.91/3.70 (xuntil6(s291) | (~until5(s291))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12168, 155, 12162])).
% 4.91/3.70 tff(12170,plain,
% 4.91/3.70 (xuntil6(s291)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12169, 12158])).
% 4.91/3.70 tff(12171,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12172,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12173,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s291, s292)) | (~xuntil6(s291)) | until5(s292)),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12172, 12171])).
% 4.91/3.70 tff(12174,plain,
% 4.91/3.70 ((~xuntil6(s291)) | until5(s292)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12173, 4357, 173])).
% 4.91/3.70 tff(12175,plain,
% 4.91/3.70 (until5(s292)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12174, 12170])).
% 4.91/3.70 tff(12176,plain,
% 4.91/3.70 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s292) | (~node4(s292)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s292) | (~node4(s292)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12177,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s292) | (~node4(s292)))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12178,plain,
% 4.91/3.70 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s292) | (~node4(s292))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12177, 12176])).
% 4.91/3.70 tff(12179,plain,
% 4.91/3.70 (~node4(s292)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12178, 35, 4354])).
% 4.91/3.70 tff(12180,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s292) | node4(s292) | (~until5(s292)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s292) | node4(s292) | (~until5(s292)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12181,plain,
% 4.91/3.70 ((node4(s292) | (~until5(s292)) | xuntil6(s292)) <=> (xuntil6(s292) | node4(s292) | (~until5(s292)))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12182,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s292) | (~until5(s292)) | xuntil6(s292))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s292) | node4(s292) | (~until5(s292))))),
% 4.91/3.70 inference(monotonicity,[status(thm)],[12181])).
% 4.91/3.70 tff(12183,plain,
% 4.91/3.70 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s292) | (~until5(s292)) | xuntil6(s292))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s292) | node4(s292) | (~until5(s292)))),
% 4.91/3.70 inference(transitivity,[status(thm)],[12182, 12180])).
% 4.91/3.70 tff(12184,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s292) | (~until5(s292)) | xuntil6(s292))),
% 4.91/3.70 inference(quant_inst,[status(thm)],[])).
% 4.91/3.70 tff(12185,plain,
% 4.91/3.70 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s292) | node4(s292) | (~until5(s292))),
% 4.91/3.70 inference(modus_ponens,[status(thm)],[12184, 12183])).
% 4.91/3.70 tff(12186,plain,
% 4.91/3.70 (xuntil6(s292) | (~until5(s292))),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12185, 155, 12179])).
% 4.91/3.70 tff(12187,plain,
% 4.91/3.70 (xuntil6(s292)),
% 4.91/3.70 inference(unit_resolution,[status(thm)],[12186, 12175])).
% 4.91/3.70 tff(12188,plain,
% 4.91/3.70 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293))),
% 4.91/3.70 inference(rewrite,[status(thm)],[])).
% 4.91/3.70 tff(12189,plain,
% 4.91/3.70 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12190,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s292, s293)) | (~xuntil6(s292)) | until5(s293)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12189, 12188])).
% 4.91/3.71 tff(12191,plain,
% 4.91/3.71 ((~xuntil6(s292)) | until5(s293)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12190, 4345, 173])).
% 4.91/3.71 tff(12192,plain,
% 4.91/3.71 (until5(s293)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12191, 12187])).
% 4.91/3.71 tff(12193,assumption,(node4(s293)), introduced(assumption)).
% 4.91/3.71 tff(12194,plain,
% 4.91/3.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s293) | (~node4(s293)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s293) | (~node4(s293)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12195,plain,
% 4.91/3.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s293) | (~node4(s293)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12196,plain,
% 4.91/3.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s293) | (~node4(s293))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 4.91/3.71 tff(12197,plain,
% 4.91/3.71 (m_main_v_request(s293)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12196, 17, 12193])).
% 4.91/3.71 tff(12198,plain,
% 4.91/3.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s293) | (~node4(s293)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s293) | (~node4(s293)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12199,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s293) | (~node4(s293)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12200,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s293) | (~node4(s293))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12199, 12198])).
% 4.91/3.71 tff(12201,plain,
% 4.91/3.71 (always3(s293)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12200, 35, 12193])).
% 4.91/3.71 tff(12202,plain,
% 4.91/3.71 (always3(s294)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[4341, 12201])).
% 4.91/3.71 tff(12203,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s294)) | (~m_main_v_state(s294, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s294)) | (~m_main_v_state(s294, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12204,plain,
% 4.91/3.71 (((~m_main_v_state(s294, c_busy)) | (~always3(s294))) <=> ((~always3(s294)) | (~m_main_v_state(s294, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12205,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s294, c_busy)) | (~always3(s294)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s294)) | (~m_main_v_state(s294, c_busy))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12204])).
% 4.91/3.71 tff(12206,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s294, c_busy)) | (~always3(s294)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s294)) | (~m_main_v_state(s294, c_busy)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12205, 12203])).
% 4.91/3.71 tff(12207,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s294, c_busy)) | (~always3(s294)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12208,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s294)) | (~m_main_v_state(s294, c_busy))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12207, 12206])).
% 4.91/3.71 tff(12209,plain,
% 4.91/3.71 (~m_main_v_state(s294, c_busy)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12208, 75, 12202])).
% 4.91/3.71 tff(12210,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s293, s294)) | node2(s293, s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s293, s294)) | node2(s293, s294))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12211,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s293, s294)) | node2(s293, s294))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12212,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s293, s294)) | node2(s293, s294)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12211, 12210])).
% 4.91/3.71 tff(12213,plain,
% 4.91/3.71 (node2(s293, s294)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12212, 7, 4337])).
% 4.91/3.71 tff(12214,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s293, c_ready)) | (~node2(s293, s294)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s293, c_ready)) | (~node2(s293, s294)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12215,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s293, c_ready)) | (~node2(s293, s294)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12216,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s293, c_ready)) | (~node2(s293, s294)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12215, 12214])).
% 4.91/3.71 tff(12217,plain,
% 4.91/3.71 ((~m_main_v_state(s293, c_ready)) | m_main_v_state(s294, c_busy) | (~m_main_v_request(s293))),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12216, 96, 12213])).
% 4.91/3.71 tff(12218,plain,
% 4.91/3.71 (~m_main_v_state(s293, c_ready)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12217, 12209, 12197])).
% 4.91/3.71 tff(12219,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s293)) | (~m_main_v_state(s293, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s293)) | (~m_main_v_state(s293, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12220,plain,
% 4.91/3.71 (((~m_main_v_state(s293, c_busy)) | (~always3(s293))) <=> ((~always3(s293)) | (~m_main_v_state(s293, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12221,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s293, c_busy)) | (~always3(s293)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s293)) | (~m_main_v_state(s293, c_busy))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12220])).
% 4.91/3.71 tff(12222,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s293, c_busy)) | (~always3(s293)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s293)) | (~m_main_v_state(s293, c_busy)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12221, 12219])).
% 4.91/3.71 tff(12223,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s293, c_busy)) | (~always3(s293)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12224,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s293)) | (~m_main_v_state(s293, c_busy))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12223, 12222])).
% 4.91/3.71 tff(12225,plain,
% 4.91/3.71 (~m_main_v_state(s293, c_busy)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12224, 75, 12201])).
% 4.91/3.71 tff(12226,plain,
% 4.91/3.71 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s293, c_busy) | m_main_v_state(s293, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s293, c_busy) | m_main_v_state(s293, c_ready))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12227,plain,
% 4.91/3.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s293, c_busy) | m_main_v_state(s293, c_ready))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12228,plain,
% 4.91/3.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s293, c_busy) | m_main_v_state(s293, c_ready)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12227, 12226])).
% 4.91/3.71 tff(12229,plain,
% 4.91/3.71 ($false),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12228, 118, 12225, 12218])).
% 4.91/3.71 tff(12230,plain,(~node4(s293)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.71 tff(12231,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s293) | node4(s293) | (~until5(s293)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s293) | node4(s293) | (~until5(s293)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12232,plain,
% 4.91/3.71 ((node4(s293) | (~until5(s293)) | xuntil6(s293)) <=> (xuntil6(s293) | node4(s293) | (~until5(s293)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12233,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s293) | (~until5(s293)) | xuntil6(s293))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s293) | node4(s293) | (~until5(s293))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12232])).
% 4.91/3.71 tff(12234,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s293) | (~until5(s293)) | xuntil6(s293))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s293) | node4(s293) | (~until5(s293)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12233, 12231])).
% 4.91/3.71 tff(12235,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s293) | (~until5(s293)) | xuntil6(s293))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12236,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s293) | node4(s293) | (~until5(s293))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12235, 12234])).
% 4.91/3.71 tff(12237,plain,
% 4.91/3.71 (xuntil6(s293) | (~until5(s293))),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12236, 155, 12230])).
% 4.91/3.71 tff(12238,plain,
% 4.91/3.71 (xuntil6(s293)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12237, 12192])).
% 4.91/3.71 tff(12239,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12240,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12241,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s293, s294)) | (~xuntil6(s293)) | until5(s294)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 4.91/3.71 tff(12242,plain,
% 4.91/3.71 ((~xuntil6(s293)) | until5(s294)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12241, 4333, 173])).
% 4.91/3.71 tff(12243,plain,
% 4.91/3.71 (until5(s294)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12242, 12238])).
% 4.91/3.71 tff(12244,plain,
% 4.91/3.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s294) | (~node4(s294)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s294) | (~node4(s294)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12245,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s294) | (~node4(s294)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12246,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s294) | (~node4(s294))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12245, 12244])).
% 4.91/3.71 tff(12247,plain,
% 4.91/3.71 (~node4(s294)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12246, 35, 4330])).
% 4.91/3.71 tff(12248,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s294) | node4(s294) | (~until5(s294)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s294) | node4(s294) | (~until5(s294)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12249,plain,
% 4.91/3.71 ((node4(s294) | (~until5(s294)) | xuntil6(s294)) <=> (xuntil6(s294) | node4(s294) | (~until5(s294)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12250,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s294) | (~until5(s294)) | xuntil6(s294))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s294) | node4(s294) | (~until5(s294))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12249])).
% 4.91/3.71 tff(12251,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s294) | (~until5(s294)) | xuntil6(s294))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s294) | node4(s294) | (~until5(s294)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12250, 12248])).
% 4.91/3.71 tff(12252,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s294) | (~until5(s294)) | xuntil6(s294))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12253,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s294) | node4(s294) | (~until5(s294))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12252, 12251])).
% 4.91/3.71 tff(12254,plain,
% 4.91/3.71 (xuntil6(s294) | (~until5(s294))),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12253, 155, 12247])).
% 4.91/3.71 tff(12255,plain,
% 4.91/3.71 (xuntil6(s294)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12254, 12243])).
% 4.91/3.71 tff(12256,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12257,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12258,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s294, s295)) | (~xuntil6(s294)) | until5(s295)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12257, 12256])).
% 4.91/3.71 tff(12259,plain,
% 4.91/3.71 ((~xuntil6(s294)) | until5(s295)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12258, 4321, 173])).
% 4.91/3.71 tff(12260,plain,
% 4.91/3.71 (until5(s295)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12259, 12255])).
% 4.91/3.71 tff(12261,assumption,(node4(s295)), introduced(assumption)).
% 4.91/3.71 tff(12262,plain,
% 4.91/3.71 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s295) | (~node4(s295)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s295) | (~node4(s295)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12263,plain,
% 4.91/3.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s295) | (~node4(s295)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12264,plain,
% 4.91/3.71 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s295) | (~node4(s295))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12263, 12262])).
% 4.91/3.71 tff(12265,plain,
% 4.91/3.71 (m_main_v_request(s295)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12264, 17, 12261])).
% 4.91/3.71 tff(12266,plain,
% 4.91/3.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s295) | (~node4(s295)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s295) | (~node4(s295)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12267,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s295) | (~node4(s295)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12268,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s295) | (~node4(s295))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12267, 12266])).
% 4.91/3.71 tff(12269,plain,
% 4.91/3.71 (always3(s295)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12268, 35, 12261])).
% 4.91/3.71 tff(12270,plain,
% 4.91/3.71 (always3(s296)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[4317, 12269])).
% 4.91/3.71 tff(12271,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s296)) | (~m_main_v_state(s296, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s296)) | (~m_main_v_state(s296, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12272,plain,
% 4.91/3.71 (((~m_main_v_state(s296, c_busy)) | (~always3(s296))) <=> ((~always3(s296)) | (~m_main_v_state(s296, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12273,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s296, c_busy)) | (~always3(s296)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s296)) | (~m_main_v_state(s296, c_busy))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12272])).
% 4.91/3.71 tff(12274,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s296, c_busy)) | (~always3(s296)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s296)) | (~m_main_v_state(s296, c_busy)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12273, 12271])).
% 4.91/3.71 tff(12275,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s296, c_busy)) | (~always3(s296)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12276,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s296)) | (~m_main_v_state(s296, c_busy))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12275, 12274])).
% 4.91/3.71 tff(12277,plain,
% 4.91/3.71 (~m_main_v_state(s296, c_busy)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12276, 75, 12270])).
% 4.91/3.71 tff(12278,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s295, s296)) | node2(s295, s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s295, s296)) | node2(s295, s296))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12279,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s295, s296)) | node2(s295, s296))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12280,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s295, s296)) | node2(s295, s296)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12279, 12278])).
% 4.91/3.71 tff(12281,plain,
% 4.91/3.71 (node2(s295, s296)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12280, 7, 4313])).
% 4.91/3.71 tff(12282,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s295, c_ready)) | (~node2(s295, s296)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s295, c_ready)) | (~node2(s295, s296)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12283,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s295, c_ready)) | (~node2(s295, s296)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12284,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s295, c_ready)) | (~node2(s295, s296)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12283, 12282])).
% 4.91/3.71 tff(12285,plain,
% 4.91/3.71 ((~m_main_v_state(s295, c_ready)) | m_main_v_state(s296, c_busy) | (~m_main_v_request(s295))),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12284, 96, 12281])).
% 4.91/3.71 tff(12286,plain,
% 4.91/3.71 (~m_main_v_state(s295, c_ready)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12285, 12277, 12265])).
% 4.91/3.71 tff(12287,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s295)) | (~m_main_v_state(s295, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s295)) | (~m_main_v_state(s295, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12288,plain,
% 4.91/3.71 (((~m_main_v_state(s295, c_busy)) | (~always3(s295))) <=> ((~always3(s295)) | (~m_main_v_state(s295, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12289,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s295, c_busy)) | (~always3(s295)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s295)) | (~m_main_v_state(s295, c_busy))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12288])).
% 4.91/3.71 tff(12290,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s295, c_busy)) | (~always3(s295)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s295)) | (~m_main_v_state(s295, c_busy)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12289, 12287])).
% 4.91/3.71 tff(12291,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s295, c_busy)) | (~always3(s295)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12292,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s295)) | (~m_main_v_state(s295, c_busy))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12291, 12290])).
% 4.91/3.71 tff(12293,plain,
% 4.91/3.71 (~m_main_v_state(s295, c_busy)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12292, 75, 12269])).
% 4.91/3.71 tff(12294,plain,
% 4.91/3.71 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12295,plain,
% 4.91/3.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12296,plain,
% 4.91/3.71 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s295, c_busy) | m_main_v_state(s295, c_ready)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12295, 12294])).
% 4.91/3.71 tff(12297,plain,
% 4.91/3.71 ($false),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12296, 118, 12293, 12286])).
% 4.91/3.71 tff(12298,plain,(~node4(s295)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.71 tff(12299,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s295) | node4(s295) | (~until5(s295)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s295) | node4(s295) | (~until5(s295)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12300,plain,
% 4.91/3.71 ((node4(s295) | (~until5(s295)) | xuntil6(s295)) <=> (xuntil6(s295) | node4(s295) | (~until5(s295)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12301,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s295) | (~until5(s295)) | xuntil6(s295))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s295) | node4(s295) | (~until5(s295))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12300])).
% 4.91/3.71 tff(12302,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s295) | (~until5(s295)) | xuntil6(s295))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s295) | node4(s295) | (~until5(s295)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12301, 12299])).
% 4.91/3.71 tff(12303,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s295) | (~until5(s295)) | xuntil6(s295))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12304,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s295) | node4(s295) | (~until5(s295))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12303, 12302])).
% 4.91/3.71 tff(12305,plain,
% 4.91/3.71 (xuntil6(s295) | (~until5(s295))),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12304, 155, 12298])).
% 4.91/3.71 tff(12306,plain,
% 4.91/3.71 (xuntil6(s295)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12305, 12260])).
% 4.91/3.71 tff(12307,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12308,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12309,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s295, s296)) | (~xuntil6(s295)) | until5(s296)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12308, 12307])).
% 4.91/3.71 tff(12310,plain,
% 4.91/3.71 ((~xuntil6(s295)) | until5(s296)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12309, 4309, 173])).
% 4.91/3.71 tff(12311,plain,
% 4.91/3.71 (until5(s296)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12310, 12306])).
% 4.91/3.71 tff(12312,plain,
% 4.91/3.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s296) | (~node4(s296)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s296) | (~node4(s296)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12313,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s296) | (~node4(s296)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12314,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s296) | (~node4(s296))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12313, 12312])).
% 4.91/3.71 tff(12315,plain,
% 4.91/3.71 (~node4(s296)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12314, 35, 4306])).
% 4.91/3.71 tff(12316,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s296) | node4(s296) | (~until5(s296)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s296) | node4(s296) | (~until5(s296)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12317,plain,
% 4.91/3.71 ((node4(s296) | (~until5(s296)) | xuntil6(s296)) <=> (xuntil6(s296) | node4(s296) | (~until5(s296)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12318,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s296) | (~until5(s296)) | xuntil6(s296))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s296) | node4(s296) | (~until5(s296))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12317])).
% 4.91/3.71 tff(12319,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s296) | (~until5(s296)) | xuntil6(s296))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s296) | node4(s296) | (~until5(s296)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12318, 12316])).
% 4.91/3.71 tff(12320,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s296) | (~until5(s296)) | xuntil6(s296))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12321,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s296) | node4(s296) | (~until5(s296))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12320, 12319])).
% 4.91/3.71 tff(12322,plain,
% 4.91/3.71 (xuntil6(s296) | (~until5(s296))),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12321, 155, 12315])).
% 4.91/3.71 tff(12323,plain,
% 4.91/3.71 (xuntil6(s296)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12322, 12311])).
% 4.91/3.71 tff(12324,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12325,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12326,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s296, s297)) | (~xuntil6(s296)) | until5(s297)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12325, 12324])).
% 4.91/3.71 tff(12327,plain,
% 4.91/3.71 ((~xuntil6(s296)) | until5(s297)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12326, 4297, 173])).
% 4.91/3.71 tff(12328,plain,
% 4.91/3.71 (until5(s297)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12327, 12323])).
% 4.91/3.71 tff(12329,assumption,(until5(s297)), introduced(assumption)).
% 4.91/3.71 tff(12330,assumption,(~xuntil6(s298)), introduced(assumption)).
% 4.91/3.71 tff(12331,assumption,(~always3(s298)), introduced(assumption)).
% 4.91/3.71 tff(12332,plain,
% 4.91/3.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s298) | (~node4(s298)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s298) | (~node4(s298)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12333,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s298) | (~node4(s298)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12334,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s298) | (~node4(s298))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12333, 12332])).
% 4.91/3.71 tff(12335,plain,
% 4.91/3.71 (~node4(s298)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12334, 35, 12331])).
% 4.91/3.71 tff(12336,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s298) | node4(s298) | (~until5(s298)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s298) | node4(s298) | (~until5(s298)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12337,plain,
% 4.91/3.71 ((node4(s298) | (~until5(s298)) | xuntil6(s298)) <=> (xuntil6(s298) | node4(s298) | (~until5(s298)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12338,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s298) | (~until5(s298)) | xuntil6(s298))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s298) | node4(s298) | (~until5(s298))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12337])).
% 4.91/3.71 tff(12339,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s298) | (~until5(s298)) | xuntil6(s298))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s298) | node4(s298) | (~until5(s298)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12338, 12336])).
% 4.91/3.71 tff(12340,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s298) | (~until5(s298)) | xuntil6(s298))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12341,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s298) | node4(s298) | (~until5(s298))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12340, 12339])).
% 4.91/3.71 tff(12342,plain,
% 4.91/3.71 (node4(s298) | (~until5(s298))),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12341, 155, 12330])).
% 4.91/3.71 tff(12343,plain,
% 4.91/3.71 (~until5(s298)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12342, 12335])).
% 4.91/3.71 tff(12344,plain,
% 4.91/3.71 (~always3(s297)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[4293, 12331])).
% 4.91/3.71 tff(12345,plain,
% 4.91/3.71 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s297) | (~node4(s297)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s297) | (~node4(s297)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12346,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s297) | (~node4(s297)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12347,plain,
% 4.91/3.71 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s297) | (~node4(s297))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12346, 12345])).
% 4.91/3.71 tff(12348,plain,
% 4.91/3.71 (~node4(s297)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12347, 35, 12344])).
% 4.91/3.71 tff(12349,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s297) | node4(s297) | (~until5(s297)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s297) | node4(s297) | (~until5(s297)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12350,plain,
% 4.91/3.71 ((node4(s297) | (~until5(s297)) | xuntil6(s297)) <=> (xuntil6(s297) | node4(s297) | (~until5(s297)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12351,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s297) | (~until5(s297)) | xuntil6(s297))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s297) | node4(s297) | (~until5(s297))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12350])).
% 4.91/3.71 tff(12352,plain,
% 4.91/3.71 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s297) | (~until5(s297)) | xuntil6(s297))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s297) | node4(s297) | (~until5(s297)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12351, 12349])).
% 4.91/3.71 tff(12353,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s297) | (~until5(s297)) | xuntil6(s297))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12354,plain,
% 4.91/3.71 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s297) | node4(s297) | (~until5(s297))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12353, 12352])).
% 4.91/3.71 tff(12355,plain,
% 4.91/3.71 (xuntil6(s297) | node4(s297)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12354, 155, 12329])).
% 4.91/3.71 tff(12356,plain,
% 4.91/3.71 (xuntil6(s297)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12355, 12348])).
% 4.91/3.71 tff(12357,plain,
% 4.91/3.71 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12358,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12359,plain,
% 4.91/3.71 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s297, s298)) | (~xuntil6(s297)) | until5(s298)),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12358, 12357])).
% 4.91/3.71 tff(12360,plain,
% 4.91/3.71 ((~xuntil6(s297)) | until5(s298)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12359, 4285, 173])).
% 4.91/3.71 tff(12361,plain,
% 4.91/3.71 ($false),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12360, 12356, 12343])).
% 4.91/3.71 tff(12362,plain,(always3(s298) | (~until5(s297)) | xuntil6(s298)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.71 tff(12363,plain,
% 4.91/3.71 (always3(s298)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12362, 12330, 12329])).
% 4.91/3.71 tff(12364,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s298)) | (~m_main_v_state(s298, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s298)) | (~m_main_v_state(s298, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12365,plain,
% 4.91/3.71 (((~m_main_v_state(s298, c_busy)) | (~always3(s298))) <=> ((~always3(s298)) | (~m_main_v_state(s298, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12366,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s298, c_busy)) | (~always3(s298)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s298)) | (~m_main_v_state(s298, c_busy))))),
% 4.91/3.71 inference(monotonicity,[status(thm)],[12365])).
% 4.91/3.71 tff(12367,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s298, c_busy)) | (~always3(s298)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s298)) | (~m_main_v_state(s298, c_busy)))),
% 4.91/3.71 inference(transitivity,[status(thm)],[12366, 12364])).
% 4.91/3.71 tff(12368,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s298, c_busy)) | (~always3(s298)))),
% 4.91/3.71 inference(quant_inst,[status(thm)],[])).
% 4.91/3.71 tff(12369,plain,
% 4.91/3.71 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s298)) | (~m_main_v_state(s298, c_busy))),
% 4.91/3.71 inference(modus_ponens,[status(thm)],[12368, 12367])).
% 4.91/3.71 tff(12370,plain,
% 4.91/3.71 (~m_main_v_state(s298, c_busy)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[12369, 75, 12363])).
% 4.91/3.71 tff(12371,plain,
% 4.91/3.71 (always3(s299)),
% 4.91/3.71 inference(unit_resolution,[status(thm)],[4281, 12363])).
% 4.91/3.71 tff(12372,plain,
% 4.91/3.71 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s299)) | (~m_main_v_state(s299, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s299)) | (~m_main_v_state(s299, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.71 tff(12373,plain,
% 4.91/3.71 (((~m_main_v_state(s299, c_busy)) | (~always3(s299))) <=> ((~always3(s299)) | (~m_main_v_state(s299, c_busy)))),
% 4.91/3.71 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12374,plain,
% 4.91/3.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s299, c_busy)) | (~always3(s299)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s299)) | (~m_main_v_state(s299, c_busy))))),
% 4.91/3.72 inference(monotonicity,[status(thm)],[12373])).
% 4.91/3.72 tff(12375,plain,
% 4.91/3.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s299, c_busy)) | (~always3(s299)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s299)) | (~m_main_v_state(s299, c_busy)))),
% 4.91/3.72 inference(transitivity,[status(thm)],[12374, 12372])).
% 4.91/3.72 tff(12376,plain,
% 4.91/3.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s299, c_busy)) | (~always3(s299)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12377,plain,
% 4.91/3.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s299)) | (~m_main_v_state(s299, c_busy))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12376, 12375])).
% 4.91/3.72 tff(12378,plain,
% 4.91/3.72 (~m_main_v_state(s299, c_busy)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12377, 75, 12371])).
% 4.91/3.72 tff(12379,plain,
% 4.91/3.72 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12380,plain,
% 4.91/3.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12381,plain,
% 4.91/3.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s298, c_busy) | m_main_v_state(s298, c_ready)),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12380, 12379])).
% 4.91/3.72 tff(12382,plain,
% 4.91/3.72 (m_main_v_state(s298, c_ready)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12381, 118, 12370])).
% 4.91/3.72 tff(12383,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s298, s299)) | node2(s298, s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s298, s299)) | node2(s298, s299))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12384,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s298, s299)) | node2(s298, s299))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12385,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s298, s299)) | node2(s298, s299)),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12384, 12383])).
% 4.91/3.72 tff(12386,plain,
% 4.91/3.72 (node2(s298, s299)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12385, 7, 4274])).
% 4.91/3.72 tff(12387,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s298, c_ready)) | (~node2(s298, s299)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s298, c_ready)) | (~node2(s298, s299)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12388,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s298, c_ready)) | (~node2(s298, s299)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12389,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s298, c_ready)) | (~node2(s298, s299)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 4.91/3.72 tff(12390,plain,
% 4.91/3.72 ((~m_main_v_state(s298, c_ready)) | m_main_v_state(s299, c_busy) | (~m_main_v_request(s298))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12389, 96, 12386])).
% 4.91/3.72 tff(12391,plain,
% 4.91/3.72 (~m_main_v_request(s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12390, 12382, 12378])).
% 4.91/3.72 tff(12392,plain,
% 4.91/3.72 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s298) | (~node4(s298)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s298) | (~node4(s298)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12393,plain,
% 4.91/3.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s298) | (~node4(s298)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12394,plain,
% 4.91/3.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s298) | (~node4(s298))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12393, 12392])).
% 4.91/3.72 tff(12395,plain,
% 4.91/3.72 (~node4(s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12394, 17, 12391])).
% 4.91/3.72 tff(12396,plain,
% 4.91/3.72 (~until5(s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12342, 12395])).
% 4.91/3.72 tff(12397,plain,
% 4.91/3.72 (~xuntil6(s297)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12360, 12396])).
% 4.91/3.72 tff(12398,plain,
% 4.91/3.72 (node4(s297)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12355, 12397])).
% 4.91/3.72 tff(12399,plain,
% 4.91/3.72 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s297) | (~node4(s297)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s297) | (~node4(s297)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12400,plain,
% 4.91/3.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s297) | (~node4(s297)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12401,plain,
% 4.91/3.72 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s297) | (~node4(s297))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12400, 12399])).
% 4.91/3.72 tff(12402,plain,
% 4.91/3.72 (m_main_v_request(s297)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12401, 17, 12398])).
% 4.91/3.72 tff(12403,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s297, s298)) | node2(s297, s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s297, s298)) | node2(s297, s298))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12404,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s297, s298)) | node2(s297, s298))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12405,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s297, s298)) | node2(s297, s298)),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12404, 12403])).
% 4.91/3.72 tff(12406,plain,
% 4.91/3.72 (node2(s297, s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12405, 7, 4289])).
% 4.91/3.72 tff(12407,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s297, c_ready)) | (~node2(s297, s298)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s297, c_ready)) | (~node2(s297, s298)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12408,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s297, c_ready)) | (~node2(s297, s298)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12409,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s297, c_ready)) | (~node2(s297, s298)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12408, 12407])).
% 4.91/3.72 tff(12410,plain,
% 4.91/3.72 ((~m_main_v_state(s297, c_ready)) | m_main_v_state(s298, c_busy) | (~m_main_v_request(s297))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12409, 96, 12406])).
% 4.91/3.72 tff(12411,plain,
% 4.91/3.72 (~m_main_v_state(s297, c_ready)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12410, 12402, 12370])).
% 4.91/3.72 tff(12412,plain,
% 4.91/3.72 (always3(s297)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12347, 35, 12398])).
% 4.91/3.72 tff(12413,plain,
% 4.91/3.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s297)) | (~m_main_v_state(s297, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s297)) | (~m_main_v_state(s297, c_busy)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12414,plain,
% 4.91/3.72 (((~m_main_v_state(s297, c_busy)) | (~always3(s297))) <=> ((~always3(s297)) | (~m_main_v_state(s297, c_busy)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12415,plain,
% 4.91/3.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s297, c_busy)) | (~always3(s297)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s297)) | (~m_main_v_state(s297, c_busy))))),
% 4.91/3.72 inference(monotonicity,[status(thm)],[12414])).
% 4.91/3.72 tff(12416,plain,
% 4.91/3.72 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s297, c_busy)) | (~always3(s297)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s297)) | (~m_main_v_state(s297, c_busy)))),
% 4.91/3.72 inference(transitivity,[status(thm)],[12415, 12413])).
% 4.91/3.72 tff(12417,plain,
% 4.91/3.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s297, c_busy)) | (~always3(s297)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12418,plain,
% 4.91/3.72 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s297)) | (~m_main_v_state(s297, c_busy))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12417, 12416])).
% 4.91/3.72 tff(12419,plain,
% 4.91/3.72 (~m_main_v_state(s297, c_busy)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12418, 75, 12412])).
% 4.91/3.72 tff(12420,plain,
% 4.91/3.72 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s297, c_busy) | m_main_v_state(s297, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s297, c_busy) | m_main_v_state(s297, c_ready))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12421,plain,
% 4.91/3.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s297, c_busy) | m_main_v_state(s297, c_ready))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12422,plain,
% 4.91/3.72 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s297, c_busy) | m_main_v_state(s297, c_ready)),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12421, 12420])).
% 4.91/3.72 tff(12423,plain,
% 4.91/3.72 ($false),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12422, 118, 12419, 12411])).
% 4.91/3.72 tff(12424,plain,(xuntil6(s298) | (~until5(s297))), inference(lemma,lemma(discharge,[]))).
% 4.91/3.72 tff(12425,plain,
% 4.91/3.72 (xuntil6(s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12424, 12328])).
% 4.91/3.72 tff(12426,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12427,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | ((~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12428,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil6(X)) | until5(Y))) | (~succ(s298, s299)) | (~xuntil6(s298)) | until5(s299)),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12427, 12426])).
% 4.91/3.72 tff(12429,plain,
% 4.91/3.72 ((~xuntil6(s298)) | until5(s299)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12428, 4270, 173])).
% 4.91/3.72 tff(12430,plain,
% 4.91/3.72 (until5(s299)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12429, 12425])).
% 4.91/3.72 tff(12431,plain,
% 4.91/3.72 (((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s299) | (~node4(s299)))) <=> ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s299) | (~node4(s299)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12432,plain,
% 4.91/3.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | (always3(s299) | (~node4(s299)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12433,plain,
% 4.91/3.72 ((~![X: $i] : (always3(X) | (~node4(X)))) | always3(s299) | (~node4(s299))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12432, 12431])).
% 4.91/3.72 tff(12434,plain,
% 4.91/3.72 ($false),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12433, 35, 4267, 10])).
% 4.91/3.72 tff(12435,plain,((~node4(s299)) | always3(s299)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.72 tff(12436,plain,
% 4.91/3.72 (~node4(s299)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12435, 4267])).
% 4.91/3.72 tff(12437,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s299) | node4(s299) | (~until5(s299)))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s299) | node4(s299) | (~until5(s299)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12438,plain,
% 4.91/3.72 ((node4(s299) | (~until5(s299)) | xuntil6(s299)) <=> (xuntil6(s299) | node4(s299) | (~until5(s299)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12439,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s299) | (~until5(s299)) | xuntil6(s299))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (xuntil6(s299) | node4(s299) | (~until5(s299))))),
% 4.91/3.72 inference(monotonicity,[status(thm)],[12438])).
% 4.91/3.72 tff(12440,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s299) | (~until5(s299)) | xuntil6(s299))) <=> ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s299) | node4(s299) | (~until5(s299)))),
% 4.91/3.72 inference(transitivity,[status(thm)],[12439, 12437])).
% 4.91/3.72 tff(12441,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | (node4(s299) | (~until5(s299)) | xuntil6(s299))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12442,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | (~until5(X)) | xuntil6(X))) | xuntil6(s299) | node4(s299) | (~until5(s299))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12441, 12440])).
% 4.91/3.72 tff(12443,plain,
% 4.91/3.72 (xuntil6(s299) | (~until5(s299))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12442, 155, 12436])).
% 4.91/3.72 tff(12444,plain,
% 4.91/3.72 (xuntil6(s299)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12443, 12430])).
% 4.91/3.72 tff(12445,plain,
% 4.91/3.72 (~node4(s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12334, 35, 4282])).
% 4.91/3.72 tff(12446,plain,
% 4.91/3.72 (^[X: $i] : refl(((~last(X)) | (~xuntil2p8(X))) <=> ((~last(X)) | (~xuntil2p8(X))))),
% 4.91/3.72 inference(bind,[status(th)],[])).
% 4.91/3.72 tff(12447,plain,
% 4.91/3.72 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(quant_intro,[status(thm)],[12446])).
% 4.91/3.72 tff(12448,plain,
% 4.91/3.72 (![X: $i] : ((~last(X)) | (~xuntil2p8(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12449,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty12')).
% 4.91/3.72 tff(12450,plain,
% 4.91/3.72 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12449, 12448])).
% 4.91/3.72 tff(12451,plain,(
% 4.91/3.72 ![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(skolemize,[status(sab)],[12450])).
% 4.91/3.72 tff(12452,plain,
% 4.91/3.72 (![X: $i] : ((~last(X)) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12451, 12447])).
% 4.91/3.72 tff(12453,plain,
% 4.91/3.72 (last(s299) <=> last(s299)),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12454,axiom,(last(s299)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound300')).
% 4.91/3.72 tff(12455,plain,
% 4.91/3.72 (last(s299)),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12454, 12453])).
% 4.91/3.72 tff(12456,plain,
% 4.91/3.72 (((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s299)) | (~xuntil2p8(s299)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s299)) | (~xuntil2p8(s299)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12457,plain,
% 4.91/3.72 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | ((~last(s299)) | (~xuntil2p8(s299)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12458,plain,
% 4.91/3.72 ((~![X: $i] : ((~last(X)) | (~xuntil2p8(X)))) | (~last(s299)) | (~xuntil2p8(s299))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12457, 12456])).
% 4.91/3.72 tff(12459,plain,
% 4.91/3.72 (~xuntil2p8(s299)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12458, 12455, 12452])).
% 4.91/3.72 tff(12460,plain,
% 4.91/3.72 (^[X: $i] : refl((node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 4.91/3.72 inference(bind,[status(th)],[])).
% 4.91/3.72 tff(12461,plain,
% 4.91/3.72 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 4.91/3.72 inference(quant_intro,[status(thm)],[12460])).
% 4.91/3.72 tff(12462,plain,
% 4.91/3.72 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12463,plain,
% 4.91/3.72 (^[X: $i] : rewrite(((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> (node4(X) | xuntil2p8(X) | (~until2p7(X))))),
% 4.91/3.72 inference(bind,[status(th)],[])).
% 4.91/3.72 tff(12464,plain,
% 4.91/3.72 (![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X))) <=> ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 4.91/3.72 inference(quant_intro,[status(thm)],[12463])).
% 4.91/3.72 tff(12465,axiom,(![X: $i] : ((node4(X) | xuntil2p8(X)) | (~until2p7(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty10')).
% 4.91/3.72 tff(12466,plain,
% 4.91/3.72 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12465, 12464])).
% 4.91/3.72 tff(12467,plain,
% 4.91/3.72 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12466, 12462])).
% 4.91/3.72 tff(12468,plain,(
% 4.91/3.72 ![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 4.91/3.72 inference(skolemize,[status(sab)],[12467])).
% 4.91/3.72 tff(12469,plain,
% 4.91/3.72 (![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12468, 12461])).
% 4.91/3.72 tff(12470,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s299) | xuntil2p8(s299) | (~until2p7(s299)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s299) | xuntil2p8(s299) | (~until2p7(s299)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12471,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s299) | xuntil2p8(s299) | (~until2p7(s299)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12472,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s299) | xuntil2p8(s299) | (~until2p7(s299))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12471, 12470])).
% 4.91/3.72 tff(12473,plain,
% 4.91/3.72 (node4(s299) | (~until2p7(s299))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12472, 12469, 12459])).
% 4.91/3.72 tff(12474,plain,
% 4.91/3.72 (~until2p7(s299)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12473, 12436])).
% 4.91/3.72 tff(12475,plain,
% 4.91/3.72 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 4.91/3.72 inference(bind,[status(th)],[])).
% 4.91/3.72 tff(12476,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(quant_intro,[status(thm)],[12475])).
% 4.91/3.72 tff(12477,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12478,plain,
% 4.91/3.72 (^[Y: $i, X: $i] : rewrite(((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X))))),
% 4.91/3.72 inference(bind,[status(th)],[])).
% 4.91/3.72 tff(12479,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(quant_intro,[status(thm)],[12478])).
% 4.91/3.72 tff(12480,axiom,(![Y: $i, X: $i] : ((until2p7(Y) | (~succ(X, Y))) | (~xuntil2p8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty11')).
% 4.91/3.72 tff(12481,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 4.91/3.72 tff(12482,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12481, 12477])).
% 4.91/3.72 tff(12483,plain,(
% 4.91/3.72 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(skolemize,[status(sab)],[12482])).
% 4.91/3.72 tff(12484,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12483, 12476])).
% 4.91/3.72 tff(12485,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12486,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12487,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s298, s299)) | until2p7(s299) | (~xuntil2p8(s298))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12486, 12485])).
% 4.91/3.72 tff(12488,plain,
% 4.91/3.72 (until2p7(s299) | (~xuntil2p8(s298))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12487, 4270, 12484])).
% 4.91/3.72 tff(12489,plain,
% 4.91/3.72 (~xuntil2p8(s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12488, 12474])).
% 4.91/3.72 tff(12490,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s298) | xuntil2p8(s298) | (~until2p7(s298)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s298) | xuntil2p8(s298) | (~until2p7(s298)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12491,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s298) | xuntil2p8(s298) | (~until2p7(s298)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12492,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s298) | xuntil2p8(s298) | (~until2p7(s298))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12491, 12490])).
% 4.91/3.72 tff(12493,plain,
% 4.91/3.72 (~until2p7(s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12492, 12469, 12489, 12445])).
% 4.91/3.72 tff(12494,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12495,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12496,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s297, s298)) | until2p7(s298) | (~xuntil2p8(s297))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12495, 12494])).
% 4.91/3.72 tff(12497,plain,
% 4.91/3.72 (until2p7(s298) | (~xuntil2p8(s297))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12496, 4285, 12484])).
% 4.91/3.72 tff(12498,plain,
% 4.91/3.72 (~xuntil2p8(s297)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12497, 12493])).
% 4.91/3.72 tff(12499,assumption,(node4(s297)), introduced(assumption)).
% 4.91/3.72 tff(12500,plain,
% 4.91/3.72 (m_main_v_request(s297)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12401, 17, 12499])).
% 4.91/3.72 tff(12501,plain,
% 4.91/3.72 (always3(s297)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12347, 35, 12499])).
% 4.91/3.72 tff(12502,plain,
% 4.91/3.72 (always3(s298)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[4293, 12501])).
% 4.91/3.72 tff(12503,plain,
% 4.91/3.72 (~m_main_v_state(s298, c_busy)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12369, 75, 12502])).
% 4.91/3.72 tff(12504,plain,
% 4.91/3.72 (~m_main_v_state(s297, c_ready)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12410, 12503, 12500])).
% 4.91/3.72 tff(12505,plain,
% 4.91/3.72 (~m_main_v_state(s297, c_busy)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12418, 75, 12501])).
% 4.91/3.72 tff(12506,plain,
% 4.91/3.72 ($false),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12422, 118, 12505, 12504])).
% 4.91/3.72 tff(12507,plain,(~node4(s297)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.72 tff(12508,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s297) | xuntil2p8(s297) | (~until2p7(s297)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s297) | xuntil2p8(s297) | (~until2p7(s297)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12509,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s297) | xuntil2p8(s297) | (~until2p7(s297)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12510,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s297) | xuntil2p8(s297) | (~until2p7(s297))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12509, 12508])).
% 4.91/3.72 tff(12511,plain,
% 4.91/3.72 (xuntil2p8(s297) | (~until2p7(s297))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12510, 12469, 12507])).
% 4.91/3.72 tff(12512,plain,
% 4.91/3.72 (~until2p7(s297)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12511, 12498])).
% 4.91/3.72 tff(12513,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12514,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12515,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s296, s297)) | until2p7(s297) | (~xuntil2p8(s296))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12514, 12513])).
% 4.91/3.72 tff(12516,plain,
% 4.91/3.72 (until2p7(s297) | (~xuntil2p8(s296))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12515, 4297, 12484])).
% 4.91/3.72 tff(12517,plain,
% 4.91/3.72 (~xuntil2p8(s296)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12516, 12512])).
% 4.91/3.72 tff(12518,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s296) | xuntil2p8(s296) | (~until2p7(s296)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s296) | xuntil2p8(s296) | (~until2p7(s296)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12519,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s296) | xuntil2p8(s296) | (~until2p7(s296)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12520,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s296) | xuntil2p8(s296) | (~until2p7(s296))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12519, 12518])).
% 4.91/3.72 tff(12521,plain,
% 4.91/3.72 (~until2p7(s296)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12520, 12469, 12517, 12315])).
% 4.91/3.72 tff(12522,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12523,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12524,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s295, s296)) | until2p7(s296) | (~xuntil2p8(s295))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12523, 12522])).
% 4.91/3.72 tff(12525,plain,
% 4.91/3.72 (until2p7(s296) | (~xuntil2p8(s295))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12524, 4309, 12484])).
% 4.91/3.72 tff(12526,plain,
% 4.91/3.72 (~xuntil2p8(s295)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12525, 12521])).
% 4.91/3.72 tff(12527,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s295) | xuntil2p8(s295) | (~until2p7(s295)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s295) | xuntil2p8(s295) | (~until2p7(s295)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12528,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s295) | xuntil2p8(s295) | (~until2p7(s295)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12529,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s295) | xuntil2p8(s295) | (~until2p7(s295))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12528, 12527])).
% 4.91/3.72 tff(12530,plain,
% 4.91/3.72 (xuntil2p8(s295) | (~until2p7(s295))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12529, 12469, 12298])).
% 4.91/3.72 tff(12531,plain,
% 4.91/3.72 (~until2p7(s295)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12530, 12526])).
% 4.91/3.72 tff(12532,plain,
% 4.91/3.72 (^[Y: $i, X: $i] : refl(((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)))),
% 4.91/3.72 inference(bind,[status(th)],[])).
% 4.91/3.72 tff(12533,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 4.91/3.72 inference(quant_intro,[status(thm)],[12532])).
% 4.91/3.72 tff(12534,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y)) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12535,plain,
% 4.91/3.72 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p7(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~trans(X, Y)) | (~last(X)) | until2p7(Y))), ((((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X))) <=> (((~trans(X, Y)) | (~last(X)) | until2p7(Y)) | (~xuntil6(X))))), rewrite((((~trans(X, Y)) | (~last(X)) | until2p7(Y)) | (~xuntil6(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))), ((((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X))) <=> ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))))),
% 4.91/3.72 inference(bind,[status(th)],[])).
% 4.91/3.72 tff(12536,plain,
% 4.91/3.72 (![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X))) <=> ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 4.91/3.72 inference(quant_intro,[status(thm)],[12535])).
% 4.91/3.72 tff(12537,axiom,(![Y: $i, X: $i] : (((until2p7(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty9')).
% 4.91/3.72 tff(12538,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12537, 12536])).
% 4.91/3.72 tff(12539,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12538, 12534])).
% 4.91/3.72 tff(12540,plain,(
% 4.91/3.72 ![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 4.91/3.72 inference(skolemize,[status(sab)],[12539])).
% 4.91/3.72 tff(12541,plain,
% 4.91/3.72 (![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12540, 12533])).
% 4.91/3.72 tff(12542,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12543,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12544,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s294, s295)) | until2p7(s295) | (~xuntil2p8(s294))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12543, 12542])).
% 4.91/3.72 tff(12545,plain,
% 4.91/3.72 (until2p7(s295) | (~xuntil2p8(s294))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12544, 4321, 12484])).
% 4.91/3.72 tff(12546,plain,
% 4.91/3.72 (~xuntil2p8(s294)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12545, 12531])).
% 4.91/3.72 tff(12547,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s294) | xuntil2p8(s294) | (~until2p7(s294)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s294) | xuntil2p8(s294) | (~until2p7(s294)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12548,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s294) | xuntil2p8(s294) | (~until2p7(s294)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12549,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s294) | xuntil2p8(s294) | (~until2p7(s294))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12548, 12547])).
% 4.91/3.72 tff(12550,plain,
% 4.91/3.72 (xuntil2p8(s294) | (~until2p7(s294))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12549, 12469, 12247])).
% 4.91/3.72 tff(12551,plain,
% 4.91/3.72 (~until2p7(s294)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12550, 12546])).
% 4.91/3.72 tff(12552,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12553,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12554,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s293, s294)) | until2p7(s294) | (~xuntil2p8(s293))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12553, 12552])).
% 4.91/3.72 tff(12555,plain,
% 4.91/3.72 (until2p7(s294) | (~xuntil2p8(s293))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12554, 4333, 12484])).
% 4.91/3.72 tff(12556,plain,
% 4.91/3.72 (~xuntil2p8(s293)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12555, 12551])).
% 4.91/3.72 tff(12557,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s293) | xuntil2p8(s293) | (~until2p7(s293)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s293) | xuntil2p8(s293) | (~until2p7(s293)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12558,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s293) | xuntil2p8(s293) | (~until2p7(s293)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12559,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s293) | xuntil2p8(s293) | (~until2p7(s293))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 4.91/3.72 tff(12560,plain,
% 4.91/3.72 (xuntil2p8(s293) | (~until2p7(s293))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12559, 12469, 12230])).
% 4.91/3.72 tff(12561,plain,
% 4.91/3.72 (~until2p7(s293)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12560, 12556])).
% 4.91/3.72 tff(12562,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12563,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12564,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s292, s293)) | until2p7(s293) | (~xuntil2p8(s292))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12563, 12562])).
% 4.91/3.72 tff(12565,plain,
% 4.91/3.72 (until2p7(s293) | (~xuntil2p8(s292))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12564, 4345, 12484])).
% 4.91/3.72 tff(12566,plain,
% 4.91/3.72 (~xuntil2p8(s292)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12565, 12561])).
% 4.91/3.72 tff(12567,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s292) | xuntil2p8(s292) | (~until2p7(s292)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s292) | xuntil2p8(s292) | (~until2p7(s292)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12568,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s292) | xuntil2p8(s292) | (~until2p7(s292)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12569,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s292) | xuntil2p8(s292) | (~until2p7(s292))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12568, 12567])).
% 4.91/3.72 tff(12570,plain,
% 4.91/3.72 (xuntil2p8(s292) | (~until2p7(s292))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12569, 12469, 12179])).
% 4.91/3.72 tff(12571,plain,
% 4.91/3.72 (~until2p7(s292)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12570, 12566])).
% 4.91/3.72 tff(12572,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12573,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12574,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s291, s292)) | until2p7(s292) | (~xuntil2p8(s291))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12573, 12572])).
% 4.91/3.72 tff(12575,plain,
% 4.91/3.72 (until2p7(s292) | (~xuntil2p8(s291))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12574, 4357, 12484])).
% 4.91/3.72 tff(12576,plain,
% 4.91/3.72 (~xuntil2p8(s291)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12575, 12571])).
% 4.91/3.72 tff(12577,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s291) | xuntil2p8(s291) | (~until2p7(s291)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s291) | xuntil2p8(s291) | (~until2p7(s291)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12578,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s291) | xuntil2p8(s291) | (~until2p7(s291)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12579,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s291) | xuntil2p8(s291) | (~until2p7(s291))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12578, 12577])).
% 4.91/3.72 tff(12580,plain,
% 4.91/3.72 (xuntil2p8(s291) | (~until2p7(s291))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12579, 12469, 12162])).
% 4.91/3.72 tff(12581,plain,
% 4.91/3.72 (~until2p7(s291)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12580, 12576])).
% 4.91/3.72 tff(12582,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12583,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12584,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s290, s291)) | until2p7(s291) | (~xuntil2p8(s290))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12583, 12582])).
% 4.91/3.72 tff(12585,plain,
% 4.91/3.72 (until2p7(s291) | (~xuntil2p8(s290))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12584, 4369, 12484])).
% 4.91/3.72 tff(12586,plain,
% 4.91/3.72 (~xuntil2p8(s290)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12585, 12581])).
% 4.91/3.72 tff(12587,plain,
% 4.91/3.72 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s290) | xuntil2p8(s290) | (~until2p7(s290)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s290) | xuntil2p8(s290) | (~until2p7(s290)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12588,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s290) | xuntil2p8(s290) | (~until2p7(s290)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12589,plain,
% 4.91/3.72 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s290) | xuntil2p8(s290) | (~until2p7(s290))),
% 4.91/3.72 inference(modus_ponens,[status(thm)],[12588, 12587])).
% 4.91/3.72 tff(12590,plain,
% 4.91/3.72 (xuntil2p8(s290) | (~until2p7(s290))),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12589, 12469, 12145])).
% 4.91/3.72 tff(12591,plain,
% 4.91/3.72 (~until2p7(s290)),
% 4.91/3.72 inference(unit_resolution,[status(thm)],[12590, 12586])).
% 4.91/3.72 tff(12592,plain,
% 4.91/3.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289)))),
% 4.91/3.72 inference(rewrite,[status(thm)],[])).
% 4.91/3.72 tff(12593,plain,
% 4.91/3.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289)))),
% 4.91/3.72 inference(quant_inst,[status(thm)],[])).
% 4.91/3.72 tff(12594,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s289, s290)) | until2p7(s290) | (~xuntil2p8(s289))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12593, 12592])).
% 4.91/3.73 tff(12595,plain,
% 4.91/3.73 (until2p7(s290) | (~xuntil2p8(s289))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12594, 4381, 12484])).
% 4.91/3.73 tff(12596,plain,
% 4.91/3.73 (~xuntil2p8(s289)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12595, 12591])).
% 4.91/3.73 tff(12597,plain,
% 4.91/3.73 (~node4(s289)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12045, 35, 4390])).
% 4.91/3.73 tff(12598,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s289) | xuntil2p8(s289) | (~until2p7(s289)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s289) | xuntil2p8(s289) | (~until2p7(s289)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12599,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s289) | xuntil2p8(s289) | (~until2p7(s289)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12600,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s289) | xuntil2p8(s289) | (~until2p7(s289))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12599, 12598])).
% 4.91/3.73 tff(12601,plain,
% 4.91/3.73 (xuntil2p8(s289) | (~until2p7(s289))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12600, 12469, 12597])).
% 4.91/3.73 tff(12602,plain,
% 4.91/3.73 (~until2p7(s289)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12601, 12596])).
% 4.91/3.73 tff(12603,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12604,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12605,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s288, s289)) | until2p7(s289) | (~xuntil2p8(s288))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12604, 12603])).
% 4.91/3.73 tff(12606,plain,
% 4.91/3.73 (until2p7(s289) | (~xuntil2p8(s288))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12605, 4393, 12484])).
% 4.91/3.73 tff(12607,plain,
% 4.91/3.73 (~xuntil2p8(s288)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12606, 12602])).
% 4.91/3.73 tff(12608,plain,
% 4.91/3.73 (~node4(s288)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12058, 35, 4402])).
% 4.91/3.73 tff(12609,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s288) | xuntil2p8(s288) | (~until2p7(s288)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s288) | xuntil2p8(s288) | (~until2p7(s288)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12610,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s288) | xuntil2p8(s288) | (~until2p7(s288)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12611,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s288) | xuntil2p8(s288) | (~until2p7(s288))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12610, 12609])).
% 4.91/3.73 tff(12612,plain,
% 4.91/3.73 (xuntil2p8(s288) | (~until2p7(s288))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12611, 12469, 12608])).
% 4.91/3.73 tff(12613,plain,
% 4.91/3.73 (~until2p7(s288)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12612, 12607])).
% 4.91/3.73 tff(12614,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12615,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12616,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s287, s288)) | until2p7(s288) | (~xuntil2p8(s287))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12615, 12614])).
% 4.91/3.73 tff(12617,plain,
% 4.91/3.73 (until2p7(s288) | (~xuntil2p8(s287))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12616, 4405, 12484])).
% 4.91/3.73 tff(12618,plain,
% 4.91/3.73 (~xuntil2p8(s287)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12617, 12613])).
% 4.91/3.73 tff(12619,plain,
% 4.91/3.73 (~node4(s287)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11812, 35, 4414])).
% 4.91/3.73 tff(12620,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s287) | xuntil2p8(s287) | (~until2p7(s287)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s287) | xuntil2p8(s287) | (~until2p7(s287)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12621,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s287) | xuntil2p8(s287) | (~until2p7(s287)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12622,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s287) | xuntil2p8(s287) | (~until2p7(s287))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12621, 12620])).
% 4.91/3.73 tff(12623,plain,
% 4.91/3.73 (xuntil2p8(s287) | (~until2p7(s287))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12622, 12469, 12619])).
% 4.91/3.73 tff(12624,plain,
% 4.91/3.73 (~until2p7(s287)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12623, 12618])).
% 4.91/3.73 tff(12625,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12626,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12627,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s286, s287)) | until2p7(s287) | (~xuntil2p8(s286))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12626, 12625])).
% 4.91/3.73 tff(12628,plain,
% 4.91/3.73 (until2p7(s287) | (~xuntil2p8(s286))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12627, 4417, 12484])).
% 4.91/3.73 tff(12629,plain,
% 4.91/3.73 (~xuntil2p8(s286)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12628, 12624])).
% 4.91/3.73 tff(12630,plain,
% 4.91/3.73 (~node4(s286)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11808, 35, 4426])).
% 4.91/3.73 tff(12631,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s286) | xuntil2p8(s286) | (~until2p7(s286)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s286) | xuntil2p8(s286) | (~until2p7(s286)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12632,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s286) | xuntil2p8(s286) | (~until2p7(s286)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12633,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s286) | xuntil2p8(s286) | (~until2p7(s286))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12632, 12631])).
% 4.91/3.73 tff(12634,plain,
% 4.91/3.73 (xuntil2p8(s286) | (~until2p7(s286))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12633, 12469, 12630])).
% 4.91/3.73 tff(12635,plain,
% 4.91/3.73 (~until2p7(s286)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12634, 12629])).
% 4.91/3.73 tff(12636,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12637,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12638,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s285, s286)) | until2p7(s286) | (~xuntil2p8(s285))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12637, 12636])).
% 4.91/3.73 tff(12639,plain,
% 4.91/3.73 (until2p7(s286) | (~xuntil2p8(s285))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12638, 4429, 12484])).
% 4.91/3.73 tff(12640,plain,
% 4.91/3.73 (~xuntil2p8(s285)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12639, 12635])).
% 4.91/3.73 tff(12641,assumption,(node4(s285)), introduced(assumption)).
% 4.91/3.73 tff(12642,plain,
% 4.91/3.73 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s285) | (~node4(s285)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s285) | (~node4(s285)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12643,plain,
% 4.91/3.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s285) | (~node4(s285)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12644,plain,
% 4.91/3.73 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s285) | (~node4(s285))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12643, 12642])).
% 4.91/3.73 tff(12645,plain,
% 4.91/3.73 (m_main_v_request(s285)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12644, 17, 12641])).
% 4.91/3.73 tff(12646,plain,
% 4.91/3.73 (always3(s285)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11843, 35, 12641])).
% 4.91/3.73 tff(12647,plain,
% 4.91/3.73 (always3(s286)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[4437, 12646])).
% 4.91/3.73 tff(12648,plain,
% 4.91/3.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s286)) | (~m_main_v_state(s286, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s286)) | (~m_main_v_state(s286, c_busy)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12649,plain,
% 4.91/3.73 (((~m_main_v_state(s286, c_busy)) | (~always3(s286))) <=> ((~always3(s286)) | (~m_main_v_state(s286, c_busy)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12650,plain,
% 4.91/3.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s286, c_busy)) | (~always3(s286)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s286)) | (~m_main_v_state(s286, c_busy))))),
% 4.91/3.73 inference(monotonicity,[status(thm)],[12649])).
% 4.91/3.73 tff(12651,plain,
% 4.91/3.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s286, c_busy)) | (~always3(s286)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s286)) | (~m_main_v_state(s286, c_busy)))),
% 4.91/3.73 inference(transitivity,[status(thm)],[12650, 12648])).
% 4.91/3.73 tff(12652,plain,
% 4.91/3.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s286, c_busy)) | (~always3(s286)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12653,plain,
% 4.91/3.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s286)) | (~m_main_v_state(s286, c_busy))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12652, 12651])).
% 4.91/3.73 tff(12654,plain,
% 4.91/3.73 (~m_main_v_state(s286, c_busy)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12653, 75, 12647])).
% 4.91/3.73 tff(12655,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s285, s286)) | node2(s285, s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s285, s286)) | node2(s285, s286))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12656,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s285, s286)) | node2(s285, s286))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12657,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s285, s286)) | node2(s285, s286)),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 4.91/3.73 tff(12658,plain,
% 4.91/3.73 (node2(s285, s286)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12657, 7, 4433])).
% 4.91/3.73 tff(12659,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s285, c_ready)) | (~node2(s285, s286)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s285, c_ready)) | (~node2(s285, s286)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12660,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s285, c_ready)) | (~node2(s285, s286)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12661,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s285, c_ready)) | (~node2(s285, s286)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 4.91/3.73 tff(12662,plain,
% 4.91/3.73 ((~m_main_v_state(s285, c_ready)) | m_main_v_state(s286, c_busy) | (~m_main_v_request(s285))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12661, 96, 12658])).
% 4.91/3.73 tff(12663,plain,
% 4.91/3.73 (~m_main_v_state(s285, c_ready)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12662, 12654, 12645])).
% 4.91/3.73 tff(12664,plain,
% 4.91/3.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s285)) | (~m_main_v_state(s285, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s285)) | (~m_main_v_state(s285, c_busy)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12665,plain,
% 4.91/3.73 (((~m_main_v_state(s285, c_busy)) | (~always3(s285))) <=> ((~always3(s285)) | (~m_main_v_state(s285, c_busy)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12666,plain,
% 4.91/3.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s285, c_busy)) | (~always3(s285)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s285)) | (~m_main_v_state(s285, c_busy))))),
% 4.91/3.73 inference(monotonicity,[status(thm)],[12665])).
% 4.91/3.73 tff(12667,plain,
% 4.91/3.73 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s285, c_busy)) | (~always3(s285)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s285)) | (~m_main_v_state(s285, c_busy)))),
% 4.91/3.73 inference(transitivity,[status(thm)],[12666, 12664])).
% 4.91/3.73 tff(12668,plain,
% 4.91/3.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s285, c_busy)) | (~always3(s285)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12669,plain,
% 4.91/3.73 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s285)) | (~m_main_v_state(s285, c_busy))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12668, 12667])).
% 4.91/3.73 tff(12670,plain,
% 4.91/3.73 (~m_main_v_state(s285, c_busy)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12669, 75, 12646])).
% 4.91/3.73 tff(12671,plain,
% 4.91/3.73 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12672,plain,
% 4.91/3.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12673,plain,
% 4.91/3.73 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s285, c_busy) | m_main_v_state(s285, c_ready)),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12672, 12671])).
% 4.91/3.73 tff(12674,plain,
% 4.91/3.73 ($false),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12673, 118, 12670, 12663])).
% 4.91/3.73 tff(12675,plain,(~node4(s285)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.73 tff(12676,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s285) | xuntil2p8(s285) | (~until2p7(s285)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s285) | xuntil2p8(s285) | (~until2p7(s285)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12677,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s285) | xuntil2p8(s285) | (~until2p7(s285)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12678,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s285) | xuntil2p8(s285) | (~until2p7(s285))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12677, 12676])).
% 4.91/3.73 tff(12679,plain,
% 4.91/3.73 (xuntil2p8(s285) | (~until2p7(s285))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12678, 12469, 12675])).
% 4.91/3.73 tff(12680,plain,
% 4.91/3.73 (~until2p7(s285)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12679, 12640])).
% 4.91/3.73 tff(12681,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12682,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12683,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s284, s285)) | until2p7(s285) | (~xuntil2p8(s284))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12682, 12681])).
% 4.91/3.73 tff(12684,plain,
% 4.91/3.73 (until2p7(s285) | (~xuntil2p8(s284))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12683, 4441, 12484])).
% 4.91/3.73 tff(12685,plain,
% 4.91/3.73 (~xuntil2p8(s284)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12684, 12680])).
% 4.91/3.73 tff(12686,plain,
% 4.91/3.73 (~node4(s284)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11861, 35, 4450])).
% 4.91/3.73 tff(12687,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s284) | xuntil2p8(s284) | (~until2p7(s284)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s284) | xuntil2p8(s284) | (~until2p7(s284)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12688,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s284) | xuntil2p8(s284) | (~until2p7(s284)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12689,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s284) | xuntil2p8(s284) | (~until2p7(s284))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12688, 12687])).
% 4.91/3.73 tff(12690,plain,
% 4.91/3.73 (xuntil2p8(s284) | (~until2p7(s284))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12689, 12469, 12686])).
% 4.91/3.73 tff(12691,plain,
% 4.91/3.73 (~until2p7(s284)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12690, 12685])).
% 4.91/3.73 tff(12692,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12693,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12694,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s283, s284)) | until2p7(s284) | (~xuntil2p8(s283))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12693, 12692])).
% 4.91/3.73 tff(12695,plain,
% 4.91/3.73 (until2p7(s284) | (~xuntil2p8(s283))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12694, 4453, 12484])).
% 4.91/3.73 tff(12696,plain,
% 4.91/3.73 (~xuntil2p8(s283)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12695, 12691])).
% 4.91/3.73 tff(12697,plain,
% 4.91/3.73 (~node4(s283)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11879, 35, 4462])).
% 4.91/3.73 tff(12698,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s283) | xuntil2p8(s283) | (~until2p7(s283)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s283) | xuntil2p8(s283) | (~until2p7(s283)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12699,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s283) | xuntil2p8(s283) | (~until2p7(s283)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12700,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s283) | xuntil2p8(s283) | (~until2p7(s283))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12699, 12698])).
% 4.91/3.73 tff(12701,plain,
% 4.91/3.73 (xuntil2p8(s283) | (~until2p7(s283))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12700, 12469, 12697])).
% 4.91/3.73 tff(12702,plain,
% 4.91/3.73 (~until2p7(s283)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12701, 12696])).
% 4.91/3.73 tff(12703,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12704,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12705,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s282, s283)) | until2p7(s283) | (~xuntil2p8(s282))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 4.91/3.73 tff(12706,plain,
% 4.91/3.73 (until2p7(s283) | (~xuntil2p8(s282))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12705, 4465, 12484])).
% 4.91/3.73 tff(12707,plain,
% 4.91/3.73 (~xuntil2p8(s282)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12706, 12702])).
% 4.91/3.73 tff(12708,plain,
% 4.91/3.73 (~node4(s282)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11897, 35, 4474])).
% 4.91/3.73 tff(12709,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s282) | xuntil2p8(s282) | (~until2p7(s282)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s282) | xuntil2p8(s282) | (~until2p7(s282)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12710,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s282) | xuntil2p8(s282) | (~until2p7(s282)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12711,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s282) | xuntil2p8(s282) | (~until2p7(s282))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12710, 12709])).
% 4.91/3.73 tff(12712,plain,
% 4.91/3.73 (xuntil2p8(s282) | (~until2p7(s282))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12711, 12469, 12708])).
% 4.91/3.73 tff(12713,plain,
% 4.91/3.73 (~until2p7(s282)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12712, 12707])).
% 4.91/3.73 tff(12714,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12715,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12716,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s281, s282)) | until2p7(s282) | (~xuntil2p8(s281))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12715, 12714])).
% 4.91/3.73 tff(12717,plain,
% 4.91/3.73 (until2p7(s282) | (~xuntil2p8(s281))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12716, 4477, 12484])).
% 4.91/3.73 tff(12718,plain,
% 4.91/3.73 (~xuntil2p8(s281)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12717, 12713])).
% 4.91/3.73 tff(12719,plain,
% 4.91/3.73 (~node4(s281)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12023, 35, 4486])).
% 4.91/3.73 tff(12720,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s281) | xuntil2p8(s281) | (~until2p7(s281)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s281) | xuntil2p8(s281) | (~until2p7(s281)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12721,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s281) | xuntil2p8(s281) | (~until2p7(s281)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12722,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s281) | xuntil2p8(s281) | (~until2p7(s281))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12721, 12720])).
% 4.91/3.73 tff(12723,plain,
% 4.91/3.73 (xuntil2p8(s281) | (~until2p7(s281))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12722, 12469, 12719])).
% 4.91/3.73 tff(12724,plain,
% 4.91/3.73 (~until2p7(s281)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12723, 12718])).
% 4.91/3.73 tff(12725,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12726,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12727,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s280, s281)) | until2p7(s281) | (~xuntil2p8(s280))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12726, 12725])).
% 4.91/3.73 tff(12728,plain,
% 4.91/3.73 (until2p7(s281) | (~xuntil2p8(s280))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12727, 4489, 12484])).
% 4.91/3.73 tff(12729,plain,
% 4.91/3.73 (~xuntil2p8(s280)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12728, 12724])).
% 4.91/3.73 tff(12730,plain,
% 4.91/3.73 (~node4(s280)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12006, 35, 4498])).
% 4.91/3.73 tff(12731,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s280) | xuntil2p8(s280) | (~until2p7(s280)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s280) | xuntil2p8(s280) | (~until2p7(s280)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12732,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s280) | xuntil2p8(s280) | (~until2p7(s280)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12733,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s280) | xuntil2p8(s280) | (~until2p7(s280))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12732, 12731])).
% 4.91/3.73 tff(12734,plain,
% 4.91/3.73 (xuntil2p8(s280) | (~until2p7(s280))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12733, 12469, 12730])).
% 4.91/3.73 tff(12735,plain,
% 4.91/3.73 (~until2p7(s280)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12734, 12729])).
% 4.91/3.73 tff(12736,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12737,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12738,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s279, s280)) | until2p7(s280) | (~xuntil2p8(s279))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12737, 12736])).
% 4.91/3.73 tff(12739,plain,
% 4.91/3.73 (until2p7(s280) | (~xuntil2p8(s279))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12738, 4501, 12484])).
% 4.91/3.73 tff(12740,plain,
% 4.91/3.73 (~xuntil2p8(s279)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12739, 12735])).
% 4.91/3.73 tff(12741,plain,
% 4.91/3.73 (~node4(s279)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11989, 35, 4510])).
% 4.91/3.73 tff(12742,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s279) | xuntil2p8(s279) | (~until2p7(s279)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s279) | xuntil2p8(s279) | (~until2p7(s279)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12743,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s279) | xuntil2p8(s279) | (~until2p7(s279)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12744,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s279) | xuntil2p8(s279) | (~until2p7(s279))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12743, 12742])).
% 4.91/3.73 tff(12745,plain,
% 4.91/3.73 (xuntil2p8(s279) | (~until2p7(s279))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12744, 12469, 12741])).
% 4.91/3.73 tff(12746,plain,
% 4.91/3.73 (~until2p7(s279)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12745, 12740])).
% 4.91/3.73 tff(12747,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12748,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12749,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s278, s279)) | until2p7(s279) | (~xuntil2p8(s278))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12748, 12747])).
% 4.91/3.73 tff(12750,plain,
% 4.91/3.73 (until2p7(s279) | (~xuntil2p8(s278))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12749, 4513, 12484])).
% 4.91/3.73 tff(12751,plain,
% 4.91/3.73 (~xuntil2p8(s278)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12750, 12746])).
% 4.91/3.73 tff(12752,plain,
% 4.91/3.73 (~node4(s278)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11972, 35, 4522])).
% 4.91/3.73 tff(12753,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s278) | xuntil2p8(s278) | (~until2p7(s278)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s278) | xuntil2p8(s278) | (~until2p7(s278)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12754,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s278) | xuntil2p8(s278) | (~until2p7(s278)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12755,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s278) | xuntil2p8(s278) | (~until2p7(s278))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12754, 12753])).
% 4.91/3.73 tff(12756,plain,
% 4.91/3.73 (xuntil2p8(s278) | (~until2p7(s278))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12755, 12469, 12752])).
% 4.91/3.73 tff(12757,plain,
% 4.91/3.73 (~until2p7(s278)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12756, 12751])).
% 4.91/3.73 tff(12758,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12759,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12760,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s277, s278)) | until2p7(s278) | (~xuntil2p8(s277))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12759, 12758])).
% 4.91/3.73 tff(12761,plain,
% 4.91/3.73 (until2p7(s278) | (~xuntil2p8(s277))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12760, 4525, 12484])).
% 4.91/3.73 tff(12762,plain,
% 4.91/3.73 (~xuntil2p8(s277)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12761, 12757])).
% 4.91/3.73 tff(12763,plain,
% 4.91/3.73 (~node4(s277)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11955, 35, 4534])).
% 4.91/3.73 tff(12764,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s277) | xuntil2p8(s277) | (~until2p7(s277)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s277) | xuntil2p8(s277) | (~until2p7(s277)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12765,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s277) | xuntil2p8(s277) | (~until2p7(s277)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12766,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s277) | xuntil2p8(s277) | (~until2p7(s277))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12765, 12764])).
% 4.91/3.73 tff(12767,plain,
% 4.91/3.73 (xuntil2p8(s277) | (~until2p7(s277))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12766, 12469, 12763])).
% 4.91/3.73 tff(12768,plain,
% 4.91/3.73 (~until2p7(s277)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12767, 12762])).
% 4.91/3.73 tff(12769,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12770,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12771,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s276, s277)) | until2p7(s277) | (~xuntil2p8(s276))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12770, 12769])).
% 4.91/3.73 tff(12772,plain,
% 4.91/3.73 (until2p7(s277) | (~xuntil2p8(s276))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12771, 4537, 12484])).
% 4.91/3.73 tff(12773,plain,
% 4.91/3.73 (~xuntil2p8(s276)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12772, 12768])).
% 4.91/3.73 tff(12774,plain,
% 4.91/3.73 (~node4(s276)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11920, 35, 4546])).
% 4.91/3.73 tff(12775,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s276) | xuntil2p8(s276) | (~until2p7(s276)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s276) | xuntil2p8(s276) | (~until2p7(s276)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12776,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s276) | xuntil2p8(s276) | (~until2p7(s276)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12777,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s276) | xuntil2p8(s276) | (~until2p7(s276))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12776, 12775])).
% 4.91/3.73 tff(12778,plain,
% 4.91/3.73 (xuntil2p8(s276) | (~until2p7(s276))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12777, 12469, 12774])).
% 4.91/3.73 tff(12779,plain,
% 4.91/3.73 (~until2p7(s276)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12778, 12773])).
% 4.91/3.73 tff(12780,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12781,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12782,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s275, s276)) | until2p7(s276) | (~xuntil2p8(s275))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12781, 12780])).
% 4.91/3.73 tff(12783,plain,
% 4.91/3.73 (until2p7(s276) | (~xuntil2p8(s275))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12782, 4549, 12484])).
% 4.91/3.73 tff(12784,plain,
% 4.91/3.73 (~xuntil2p8(s275)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12783, 12779])).
% 4.91/3.73 tff(12785,plain,
% 4.91/3.73 (~node4(s275)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11925, 35, 4558])).
% 4.91/3.73 tff(12786,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s275) | xuntil2p8(s275) | (~until2p7(s275)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s275) | xuntil2p8(s275) | (~until2p7(s275)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12787,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s275) | xuntil2p8(s275) | (~until2p7(s275)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12788,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s275) | xuntil2p8(s275) | (~until2p7(s275))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12787, 12786])).
% 4.91/3.73 tff(12789,plain,
% 4.91/3.73 (xuntil2p8(s275) | (~until2p7(s275))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12788, 12469, 12785])).
% 4.91/3.73 tff(12790,plain,
% 4.91/3.73 (~until2p7(s275)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12789, 12784])).
% 4.91/3.73 tff(12791,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12792,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12793,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s274, s275)) | until2p7(s275) | (~xuntil2p8(s274))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12792, 12791])).
% 4.91/3.73 tff(12794,plain,
% 4.91/3.73 (until2p7(s275) | (~xuntil2p8(s274))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12793, 4561, 12484])).
% 4.91/3.73 tff(12795,plain,
% 4.91/3.73 (~xuntil2p8(s274)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12794, 12790])).
% 4.91/3.73 tff(12796,plain,
% 4.91/3.73 (~node4(s274)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[11657, 35, 4570])).
% 4.91/3.73 tff(12797,plain,
% 4.91/3.73 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s274) | xuntil2p8(s274) | (~until2p7(s274)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s274) | xuntil2p8(s274) | (~until2p7(s274)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12798,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s274) | xuntil2p8(s274) | (~until2p7(s274)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12799,plain,
% 4.91/3.73 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s274) | xuntil2p8(s274) | (~until2p7(s274))),
% 4.91/3.73 inference(modus_ponens,[status(thm)],[12798, 12797])).
% 4.91/3.73 tff(12800,plain,
% 4.91/3.73 (xuntil2p8(s274) | (~until2p7(s274))),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12799, 12469, 12796])).
% 4.91/3.73 tff(12801,plain,
% 4.91/3.73 (~until2p7(s274)),
% 4.91/3.73 inference(unit_resolution,[status(thm)],[12800, 12795])).
% 4.91/3.73 tff(12802,plain,
% 4.91/3.73 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273)))),
% 4.91/3.73 inference(rewrite,[status(thm)],[])).
% 4.91/3.73 tff(12803,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273)))),
% 4.91/3.73 inference(quant_inst,[status(thm)],[])).
% 4.91/3.73 tff(12804,plain,
% 4.91/3.73 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s273, s274)) | until2p7(s274) | (~xuntil2p8(s273))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12803, 12802])).
% 4.91/3.74 tff(12805,plain,
% 4.91/3.74 (until2p7(s274) | (~xuntil2p8(s273))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12804, 4573, 12484])).
% 4.91/3.74 tff(12806,plain,
% 4.91/3.74 (~xuntil2p8(s273)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12805, 12801])).
% 4.91/3.74 tff(12807,plain,
% 4.91/3.74 (~node4(s273)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11653, 35, 4582])).
% 4.91/3.74 tff(12808,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s273) | xuntil2p8(s273) | (~until2p7(s273)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s273) | xuntil2p8(s273) | (~until2p7(s273)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12809,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s273) | xuntil2p8(s273) | (~until2p7(s273)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12810,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s273) | xuntil2p8(s273) | (~until2p7(s273))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12809, 12808])).
% 4.91/3.74 tff(12811,plain,
% 4.91/3.74 (xuntil2p8(s273) | (~until2p7(s273))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12810, 12469, 12807])).
% 4.91/3.74 tff(12812,plain,
% 4.91/3.74 (~until2p7(s273)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12811, 12806])).
% 4.91/3.74 tff(12813,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12814,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12815,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s272, s273)) | until2p7(s273) | (~xuntil2p8(s272))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12814, 12813])).
% 4.91/3.74 tff(12816,plain,
% 4.91/3.74 (until2p7(s273) | (~xuntil2p8(s272))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12815, 4585, 12484])).
% 4.91/3.74 tff(12817,plain,
% 4.91/3.74 (~xuntil2p8(s272)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12816, 12812])).
% 4.91/3.74 tff(12818,plain,
% 4.91/3.74 (~node4(s272)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11675, 35, 4594])).
% 4.91/3.74 tff(12819,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s272) | xuntil2p8(s272) | (~until2p7(s272)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s272) | xuntil2p8(s272) | (~until2p7(s272)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12820,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s272) | xuntil2p8(s272) | (~until2p7(s272)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12821,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s272) | xuntil2p8(s272) | (~until2p7(s272))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12820, 12819])).
% 4.91/3.74 tff(12822,plain,
% 4.91/3.74 (xuntil2p8(s272) | (~until2p7(s272))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12821, 12469, 12818])).
% 4.91/3.74 tff(12823,plain,
% 4.91/3.74 (~until2p7(s272)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12822, 12817])).
% 4.91/3.74 tff(12824,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12825,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12826,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s271, s272)) | until2p7(s272) | (~xuntil2p8(s271))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12825, 12824])).
% 4.91/3.74 tff(12827,plain,
% 4.91/3.74 (until2p7(s272) | (~xuntil2p8(s271))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12826, 4597, 12484])).
% 4.91/3.74 tff(12828,plain,
% 4.91/3.74 (~xuntil2p8(s271)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12827, 12823])).
% 4.91/3.74 tff(12829,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s271) | xuntil2p8(s271) | (~until2p7(s271)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s271) | xuntil2p8(s271) | (~until2p7(s271)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12830,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s271) | xuntil2p8(s271) | (~until2p7(s271)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12831,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s271) | xuntil2p8(s271) | (~until2p7(s271))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12830, 12829])).
% 4.91/3.74 tff(12832,plain,
% 4.91/3.74 (xuntil2p8(s271) | (~until2p7(s271))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12831, 12469, 11633])).
% 4.91/3.74 tff(12833,plain,
% 4.91/3.74 (~until2p7(s271)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12832, 12828])).
% 4.91/3.74 tff(12834,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12835,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12836,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s270, s271)) | until2p7(s271) | (~xuntil2p8(s270))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12835, 12834])).
% 4.91/3.74 tff(12837,plain,
% 4.91/3.74 (until2p7(s271) | (~xuntil2p8(s270))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12836, 4609, 12484])).
% 4.91/3.74 tff(12838,plain,
% 4.91/3.74 (~xuntil2p8(s270)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12837, 12833])).
% 4.91/3.74 tff(12839,plain,
% 4.91/3.74 (~node4(s270)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11533, 35, 4618])).
% 4.91/3.74 tff(12840,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s270) | xuntil2p8(s270) | (~until2p7(s270)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s270) | xuntil2p8(s270) | (~until2p7(s270)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12841,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s270) | xuntil2p8(s270) | (~until2p7(s270)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12842,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s270) | xuntil2p8(s270) | (~until2p7(s270))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12841, 12840])).
% 4.91/3.74 tff(12843,plain,
% 4.91/3.74 (xuntil2p8(s270) | (~until2p7(s270))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12842, 12469, 12839])).
% 4.91/3.74 tff(12844,plain,
% 4.91/3.74 (~until2p7(s270)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12843, 12838])).
% 4.91/3.74 tff(12845,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12846,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12847,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s269, s270)) | until2p7(s270) | (~xuntil2p8(s269))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 4.91/3.74 tff(12848,plain,
% 4.91/3.74 (until2p7(s270) | (~xuntil2p8(s269))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12847, 4621, 12484])).
% 4.91/3.74 tff(12849,plain,
% 4.91/3.74 (~xuntil2p8(s269)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12848, 12844])).
% 4.91/3.74 tff(12850,plain,
% 4.91/3.74 (~node4(s269)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11546, 35, 4630])).
% 4.91/3.74 tff(12851,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s269) | xuntil2p8(s269) | (~until2p7(s269)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s269) | xuntil2p8(s269) | (~until2p7(s269)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12852,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s269) | xuntil2p8(s269) | (~until2p7(s269)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12853,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s269) | xuntil2p8(s269) | (~until2p7(s269))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12852, 12851])).
% 4.91/3.74 tff(12854,plain,
% 4.91/3.74 (xuntil2p8(s269) | (~until2p7(s269))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12853, 12469, 12850])).
% 4.91/3.74 tff(12855,plain,
% 4.91/3.74 (~until2p7(s269)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12854, 12849])).
% 4.91/3.74 tff(12856,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12857,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12858,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s268, s269)) | until2p7(s269) | (~xuntil2p8(s268))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12857, 12856])).
% 4.91/3.74 tff(12859,plain,
% 4.91/3.74 (until2p7(s269) | (~xuntil2p8(s268))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12858, 4633, 12484])).
% 4.91/3.74 tff(12860,plain,
% 4.91/3.74 (~xuntil2p8(s268)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12859, 12855])).
% 4.91/3.74 tff(12861,plain,
% 4.91/3.74 (~node4(s268)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11282, 35, 4642])).
% 4.91/3.74 tff(12862,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s268) | xuntil2p8(s268) | (~until2p7(s268)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s268) | xuntil2p8(s268) | (~until2p7(s268)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12863,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s268) | xuntil2p8(s268) | (~until2p7(s268)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12864,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s268) | xuntil2p8(s268) | (~until2p7(s268))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12863, 12862])).
% 4.91/3.74 tff(12865,plain,
% 4.91/3.74 (xuntil2p8(s268) | (~until2p7(s268))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12864, 12469, 12861])).
% 4.91/3.74 tff(12866,plain,
% 4.91/3.74 (~until2p7(s268)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12865, 12860])).
% 4.91/3.74 tff(12867,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12868,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12869,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s267, s268)) | until2p7(s268) | (~xuntil2p8(s267))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12868, 12867])).
% 4.91/3.74 tff(12870,plain,
% 4.91/3.74 (until2p7(s268) | (~xuntil2p8(s267))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12869, 4645, 12484])).
% 4.91/3.74 tff(12871,plain,
% 4.91/3.74 (~xuntil2p8(s267)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12870, 12866])).
% 4.91/3.74 tff(12872,plain,
% 4.91/3.74 (~node4(s267)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11278, 35, 4654])).
% 4.91/3.74 tff(12873,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s267) | xuntil2p8(s267) | (~until2p7(s267)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s267) | xuntil2p8(s267) | (~until2p7(s267)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12874,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s267) | xuntil2p8(s267) | (~until2p7(s267)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12875,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s267) | xuntil2p8(s267) | (~until2p7(s267))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12874, 12873])).
% 4.91/3.74 tff(12876,plain,
% 4.91/3.74 (xuntil2p8(s267) | (~until2p7(s267))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12875, 12469, 12872])).
% 4.91/3.74 tff(12877,plain,
% 4.91/3.74 (~until2p7(s267)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12876, 12871])).
% 4.91/3.74 tff(12878,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12879,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12880,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s266, s267)) | until2p7(s267) | (~xuntil2p8(s266))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12879, 12878])).
% 4.91/3.74 tff(12881,plain,
% 4.91/3.74 (until2p7(s267) | (~xuntil2p8(s266))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12880, 4657, 12484])).
% 4.91/3.74 tff(12882,plain,
% 4.91/3.74 (~xuntil2p8(s266)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12881, 12877])).
% 4.91/3.74 tff(12883,plain,
% 4.91/3.74 (~node4(s266)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11313, 35, 4666])).
% 4.91/3.74 tff(12884,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s266) | xuntil2p8(s266) | (~until2p7(s266)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s266) | xuntil2p8(s266) | (~until2p7(s266)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12885,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s266) | xuntil2p8(s266) | (~until2p7(s266)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12886,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s266) | xuntil2p8(s266) | (~until2p7(s266))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12885, 12884])).
% 4.91/3.74 tff(12887,plain,
% 4.91/3.74 (xuntil2p8(s266) | (~until2p7(s266))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12886, 12469, 12883])).
% 4.91/3.74 tff(12888,plain,
% 4.91/3.74 (~until2p7(s266)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12887, 12882])).
% 4.91/3.74 tff(12889,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12890,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12891,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s265, s266)) | until2p7(s266) | (~xuntil2p8(s265))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12890, 12889])).
% 4.91/3.74 tff(12892,plain,
% 4.91/3.74 (until2p7(s266) | (~xuntil2p8(s265))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12891, 4669, 12484])).
% 4.91/3.74 tff(12893,plain,
% 4.91/3.74 (~xuntil2p8(s265)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12892, 12888])).
% 4.91/3.74 tff(12894,plain,
% 4.91/3.74 (~node4(s265)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11331, 35, 4678])).
% 4.91/3.74 tff(12895,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s265) | xuntil2p8(s265) | (~until2p7(s265)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s265) | xuntil2p8(s265) | (~until2p7(s265)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12896,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s265) | xuntil2p8(s265) | (~until2p7(s265)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12897,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s265) | xuntil2p8(s265) | (~until2p7(s265))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12896, 12895])).
% 4.91/3.74 tff(12898,plain,
% 4.91/3.74 (xuntil2p8(s265) | (~until2p7(s265))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12897, 12469, 12894])).
% 4.91/3.74 tff(12899,plain,
% 4.91/3.74 (~until2p7(s265)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12898, 12893])).
% 4.91/3.74 tff(12900,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12901,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12902,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s264, s265)) | until2p7(s265) | (~xuntil2p8(s264))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12901, 12900])).
% 4.91/3.74 tff(12903,plain,
% 4.91/3.74 (until2p7(s265) | (~xuntil2p8(s264))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12902, 4681, 12484])).
% 4.91/3.74 tff(12904,plain,
% 4.91/3.74 (~xuntil2p8(s264)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12903, 12899])).
% 4.91/3.74 tff(12905,plain,
% 4.91/3.74 (~node4(s264)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11349, 35, 4690])).
% 4.91/3.74 tff(12906,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s264) | xuntil2p8(s264) | (~until2p7(s264)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s264) | xuntil2p8(s264) | (~until2p7(s264)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12907,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s264) | xuntil2p8(s264) | (~until2p7(s264)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12908,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s264) | xuntil2p8(s264) | (~until2p7(s264))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12907, 12906])).
% 4.91/3.74 tff(12909,plain,
% 4.91/3.74 (xuntil2p8(s264) | (~until2p7(s264))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12908, 12469, 12905])).
% 4.91/3.74 tff(12910,plain,
% 4.91/3.74 (~until2p7(s264)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12909, 12904])).
% 4.91/3.74 tff(12911,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12912,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12913,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s263, s264)) | until2p7(s264) | (~xuntil2p8(s263))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12912, 12911])).
% 4.91/3.74 tff(12914,plain,
% 4.91/3.74 (until2p7(s264) | (~xuntil2p8(s263))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12913, 4693, 12484])).
% 4.91/3.74 tff(12915,plain,
% 4.91/3.74 (~xuntil2p8(s263)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12914, 12910])).
% 4.91/3.74 tff(12916,plain,
% 4.91/3.74 (~node4(s263)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11367, 35, 4702])).
% 4.91/3.74 tff(12917,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s263) | xuntil2p8(s263) | (~until2p7(s263)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s263) | xuntil2p8(s263) | (~until2p7(s263)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12918,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s263) | xuntil2p8(s263) | (~until2p7(s263)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12919,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s263) | xuntil2p8(s263) | (~until2p7(s263))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12918, 12917])).
% 4.91/3.74 tff(12920,plain,
% 4.91/3.74 (xuntil2p8(s263) | (~until2p7(s263))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12919, 12469, 12916])).
% 4.91/3.74 tff(12921,plain,
% 4.91/3.74 (~until2p7(s263)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12920, 12915])).
% 4.91/3.74 tff(12922,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12923,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12924,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s262, s263)) | until2p7(s263) | (~xuntil2p8(s262))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 4.91/3.74 tff(12925,plain,
% 4.91/3.74 (until2p7(s263) | (~xuntil2p8(s262))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12924, 4705, 12484])).
% 4.91/3.74 tff(12926,plain,
% 4.91/3.74 (~xuntil2p8(s262)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12925, 12921])).
% 4.91/3.74 tff(12927,plain,
% 4.91/3.74 (~node4(s262)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11385, 35, 4714])).
% 4.91/3.74 tff(12928,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s262) | xuntil2p8(s262) | (~until2p7(s262)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s262) | xuntil2p8(s262) | (~until2p7(s262)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12929,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s262) | xuntil2p8(s262) | (~until2p7(s262)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12930,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s262) | xuntil2p8(s262) | (~until2p7(s262))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12929, 12928])).
% 4.91/3.74 tff(12931,plain,
% 4.91/3.74 (xuntil2p8(s262) | (~until2p7(s262))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12930, 12469, 12927])).
% 4.91/3.74 tff(12932,plain,
% 4.91/3.74 (~until2p7(s262)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12931, 12926])).
% 4.91/3.74 tff(12933,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12934,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12935,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s261, s262)) | until2p7(s262) | (~xuntil2p8(s261))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12934, 12933])).
% 4.91/3.74 tff(12936,plain,
% 4.91/3.74 (until2p7(s262) | (~xuntil2p8(s261))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12935, 4717, 12484])).
% 4.91/3.74 tff(12937,plain,
% 4.91/3.74 (~xuntil2p8(s261)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12936, 12932])).
% 4.91/3.74 tff(12938,plain,
% 4.91/3.74 (~node4(s261)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11506, 35, 4726])).
% 4.91/3.74 tff(12939,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s261) | xuntil2p8(s261) | (~until2p7(s261)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s261) | xuntil2p8(s261) | (~until2p7(s261)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12940,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s261) | xuntil2p8(s261) | (~until2p7(s261)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12941,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s261) | xuntil2p8(s261) | (~until2p7(s261))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12940, 12939])).
% 4.91/3.74 tff(12942,plain,
% 4.91/3.74 (xuntil2p8(s261) | (~until2p7(s261))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12941, 12469, 12938])).
% 4.91/3.74 tff(12943,plain,
% 4.91/3.74 (~until2p7(s261)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12942, 12937])).
% 4.91/3.74 tff(12944,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12945,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12946,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s260, s261)) | until2p7(s261) | (~xuntil2p8(s260))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12945, 12944])).
% 4.91/3.74 tff(12947,plain,
% 4.91/3.74 (until2p7(s261) | (~xuntil2p8(s260))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12946, 4729, 12484])).
% 4.91/3.74 tff(12948,plain,
% 4.91/3.74 (~xuntil2p8(s260)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12947, 12943])).
% 4.91/3.74 tff(12949,plain,
% 4.91/3.74 (~node4(s260)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11489, 35, 4738])).
% 4.91/3.74 tff(12950,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s260) | xuntil2p8(s260) | (~until2p7(s260)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s260) | xuntil2p8(s260) | (~until2p7(s260)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12951,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s260) | xuntil2p8(s260) | (~until2p7(s260)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12952,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s260) | xuntil2p8(s260) | (~until2p7(s260))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12951, 12950])).
% 4.91/3.74 tff(12953,plain,
% 4.91/3.74 (xuntil2p8(s260) | (~until2p7(s260))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12952, 12469, 12949])).
% 4.91/3.74 tff(12954,plain,
% 4.91/3.74 (~until2p7(s260)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12953, 12948])).
% 4.91/3.74 tff(12955,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12956,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12957,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s259, s260)) | until2p7(s260) | (~xuntil2p8(s259))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12956, 12955])).
% 4.91/3.74 tff(12958,plain,
% 4.91/3.74 (until2p7(s260) | (~xuntil2p8(s259))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12957, 4741, 12484])).
% 4.91/3.74 tff(12959,plain,
% 4.91/3.74 (~xuntil2p8(s259)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12958, 12954])).
% 4.91/3.74 tff(12960,plain,
% 4.91/3.74 (~node4(s259)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11472, 35, 4750])).
% 4.91/3.74 tff(12961,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s259) | xuntil2p8(s259) | (~until2p7(s259)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s259) | xuntil2p8(s259) | (~until2p7(s259)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12962,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s259) | xuntil2p8(s259) | (~until2p7(s259)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12963,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s259) | xuntil2p8(s259) | (~until2p7(s259))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12962, 12961])).
% 4.91/3.74 tff(12964,plain,
% 4.91/3.74 (xuntil2p8(s259) | (~until2p7(s259))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12963, 12469, 12960])).
% 4.91/3.74 tff(12965,plain,
% 4.91/3.74 (~until2p7(s259)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12964, 12959])).
% 4.91/3.74 tff(12966,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12967,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12968,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s258, s259)) | until2p7(s259) | (~xuntil2p8(s258))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12967, 12966])).
% 4.91/3.74 tff(12969,plain,
% 4.91/3.74 (until2p7(s259) | (~xuntil2p8(s258))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12968, 4753, 12484])).
% 4.91/3.74 tff(12970,plain,
% 4.91/3.74 (~xuntil2p8(s258)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12969, 12965])).
% 4.91/3.74 tff(12971,plain,
% 4.91/3.74 (~node4(s258)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11455, 35, 4762])).
% 4.91/3.74 tff(12972,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s258) | xuntil2p8(s258) | (~until2p7(s258)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s258) | xuntil2p8(s258) | (~until2p7(s258)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12973,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s258) | xuntil2p8(s258) | (~until2p7(s258)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12974,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s258) | xuntil2p8(s258) | (~until2p7(s258))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12973, 12972])).
% 4.91/3.74 tff(12975,plain,
% 4.91/3.74 (xuntil2p8(s258) | (~until2p7(s258))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12974, 12469, 12971])).
% 4.91/3.74 tff(12976,plain,
% 4.91/3.74 (~until2p7(s258)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12975, 12970])).
% 4.91/3.74 tff(12977,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12978,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12979,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s257, s258)) | until2p7(s258) | (~xuntil2p8(s257))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12978, 12977])).
% 4.91/3.74 tff(12980,plain,
% 4.91/3.74 (until2p7(s258) | (~xuntil2p8(s257))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12979, 4765, 12484])).
% 4.91/3.74 tff(12981,plain,
% 4.91/3.74 (~xuntil2p8(s257)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12980, 12976])).
% 4.91/3.74 tff(12982,plain,
% 4.91/3.74 (~node4(s257)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11438, 35, 4774])).
% 4.91/3.74 tff(12983,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s257) | xuntil2p8(s257) | (~until2p7(s257)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s257) | xuntil2p8(s257) | (~until2p7(s257)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12984,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s257) | xuntil2p8(s257) | (~until2p7(s257)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12985,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s257) | xuntil2p8(s257) | (~until2p7(s257))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12984, 12983])).
% 4.91/3.74 tff(12986,plain,
% 4.91/3.74 (xuntil2p8(s257) | (~until2p7(s257))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12985, 12469, 12982])).
% 4.91/3.74 tff(12987,plain,
% 4.91/3.74 (~until2p7(s257)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12986, 12981])).
% 4.91/3.74 tff(12988,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12989,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12990,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s256, s257)) | until2p7(s257) | (~xuntil2p8(s256))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12989, 12988])).
% 4.91/3.74 tff(12991,plain,
% 4.91/3.74 (until2p7(s257) | (~xuntil2p8(s256))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12990, 4777, 12484])).
% 4.91/3.74 tff(12992,plain,
% 4.91/3.74 (~xuntil2p8(s256)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12991, 12987])).
% 4.91/3.74 tff(12993,plain,
% 4.91/3.74 (~node4(s256)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11403, 35, 4786])).
% 4.91/3.74 tff(12994,plain,
% 4.91/3.74 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s256) | xuntil2p8(s256) | (~until2p7(s256)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s256) | xuntil2p8(s256) | (~until2p7(s256)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(12995,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s256) | xuntil2p8(s256) | (~until2p7(s256)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(12996,plain,
% 4.91/3.74 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s256) | xuntil2p8(s256) | (~until2p7(s256))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[12995, 12994])).
% 4.91/3.74 tff(12997,plain,
% 4.91/3.74 (xuntil2p8(s256) | (~until2p7(s256))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12996, 12469, 12993])).
% 4.91/3.74 tff(12998,plain,
% 4.91/3.74 (~until2p7(s256)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[12997, 12992])).
% 4.91/3.74 tff(12999,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(13000,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(13001,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s255, s256)) | until2p7(s256) | (~xuntil2p8(s255))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[13000, 12999])).
% 4.91/3.74 tff(13002,plain,
% 4.91/3.74 (until2p7(s256) | (~xuntil2p8(s255))),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[13001, 4789, 12484])).
% 4.91/3.74 tff(13003,plain,
% 4.91/3.74 (~xuntil2p8(s255)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[13002, 12998])).
% 4.91/3.74 tff(13004,assumption,(node4(s255)), introduced(assumption)).
% 4.91/3.74 tff(13005,plain,
% 4.91/3.74 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s255) | (~node4(s255)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s255) | (~node4(s255)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(13006,plain,
% 4.91/3.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s255) | (~node4(s255)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(13007,plain,
% 4.91/3.74 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s255) | (~node4(s255))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[13006, 13005])).
% 4.91/3.74 tff(13008,plain,
% 4.91/3.74 (m_main_v_request(s255)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[13007, 17, 13004])).
% 4.91/3.74 tff(13009,plain,
% 4.91/3.74 (always3(s255)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[11408, 35, 13004])).
% 4.91/3.74 tff(13010,plain,
% 4.91/3.74 (always3(s256)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[4797, 13009])).
% 4.91/3.74 tff(13011,plain,
% 4.91/3.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s256)) | (~m_main_v_state(s256, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(13012,plain,
% 4.91/3.74 (((~m_main_v_state(s256, c_busy)) | (~always3(s256))) <=> ((~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(13013,plain,
% 4.91/3.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s256)) | (~m_main_v_state(s256, c_busy))))),
% 4.91/3.74 inference(monotonicity,[status(thm)],[13012])).
% 4.91/3.74 tff(13014,plain,
% 4.91/3.74 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy)))),
% 4.91/3.74 inference(transitivity,[status(thm)],[13013, 13011])).
% 4.91/3.74 tff(13015,plain,
% 4.91/3.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s256, c_busy)) | (~always3(s256)))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(13016,plain,
% 4.91/3.74 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s256)) | (~m_main_v_state(s256, c_busy))),
% 4.91/3.74 inference(modus_ponens,[status(thm)],[13015, 13014])).
% 4.91/3.74 tff(13017,plain,
% 4.91/3.74 (~m_main_v_state(s256, c_busy)),
% 4.91/3.74 inference(unit_resolution,[status(thm)],[13016, 75, 13010])).
% 4.91/3.74 tff(13018,plain,
% 4.91/3.74 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s255, s256)) | node2(s255, s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s255, s256)) | node2(s255, s256))),
% 4.91/3.74 inference(rewrite,[status(thm)],[])).
% 4.91/3.74 tff(13019,plain,
% 4.91/3.74 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s255, s256)) | node2(s255, s256))),
% 4.91/3.74 inference(quant_inst,[status(thm)],[])).
% 4.91/3.74 tff(13020,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s255, s256)) | node2(s255, s256)),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13019, 13018])).
% 4.91/3.75 tff(13021,plain,
% 4.91/3.75 (node2(s255, s256)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13020, 7, 4793])).
% 4.91/3.75 tff(13022,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13023,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13024,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s255, c_ready)) | (~node2(s255, s256)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13023, 13022])).
% 4.91/3.75 tff(13025,plain,
% 4.91/3.75 ((~m_main_v_state(s255, c_ready)) | m_main_v_state(s256, c_busy) | (~m_main_v_request(s255))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13024, 96, 13021])).
% 4.91/3.75 tff(13026,plain,
% 4.91/3.75 (~m_main_v_state(s255, c_ready)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13025, 13017, 13008])).
% 4.91/3.75 tff(13027,plain,
% 4.91/3.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s255)) | (~m_main_v_state(s255, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s255)) | (~m_main_v_state(s255, c_busy)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13028,plain,
% 4.91/3.75 (((~m_main_v_state(s255, c_busy)) | (~always3(s255))) <=> ((~always3(s255)) | (~m_main_v_state(s255, c_busy)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13029,plain,
% 4.91/3.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s255, c_busy)) | (~always3(s255)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s255)) | (~m_main_v_state(s255, c_busy))))),
% 4.91/3.75 inference(monotonicity,[status(thm)],[13028])).
% 4.91/3.75 tff(13030,plain,
% 4.91/3.75 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s255, c_busy)) | (~always3(s255)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s255)) | (~m_main_v_state(s255, c_busy)))),
% 4.91/3.75 inference(transitivity,[status(thm)],[13029, 13027])).
% 4.91/3.75 tff(13031,plain,
% 4.91/3.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s255, c_busy)) | (~always3(s255)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13032,plain,
% 4.91/3.75 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s255)) | (~m_main_v_state(s255, c_busy))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13031, 13030])).
% 4.91/3.75 tff(13033,plain,
% 4.91/3.75 (~m_main_v_state(s255, c_busy)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13032, 75, 13009])).
% 4.91/3.75 tff(13034,plain,
% 4.91/3.75 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13035,plain,
% 4.91/3.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13036,plain,
% 4.91/3.75 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s255, c_busy) | m_main_v_state(s255, c_ready)),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13035, 13034])).
% 4.91/3.75 tff(13037,plain,
% 4.91/3.75 ($false),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13036, 118, 13033, 13026])).
% 4.91/3.75 tff(13038,plain,(~node4(s255)), inference(lemma,lemma(discharge,[]))).
% 4.91/3.75 tff(13039,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s255) | xuntil2p8(s255) | (~until2p7(s255)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s255) | xuntil2p8(s255) | (~until2p7(s255)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13040,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s255) | xuntil2p8(s255) | (~until2p7(s255)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13041,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s255) | xuntil2p8(s255) | (~until2p7(s255))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13040, 13039])).
% 4.91/3.75 tff(13042,plain,
% 4.91/3.75 (xuntil2p8(s255) | (~until2p7(s255))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13041, 12469, 13038])).
% 4.91/3.75 tff(13043,plain,
% 4.91/3.75 (~until2p7(s255)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13042, 13003])).
% 4.91/3.75 tff(13044,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13045,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13046,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s254, s255)) | until2p7(s255) | (~xuntil2p8(s254))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13045, 13044])).
% 4.91/3.75 tff(13047,plain,
% 4.91/3.75 (until2p7(s255) | (~xuntil2p8(s254))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13046, 4801, 12484])).
% 4.91/3.75 tff(13048,plain,
% 4.91/3.75 (~xuntil2p8(s254)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13047, 13043])).
% 4.91/3.75 tff(13049,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s254) | xuntil2p8(s254) | (~until2p7(s254)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s254) | xuntil2p8(s254) | (~until2p7(s254)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13050,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s254) | xuntil2p8(s254) | (~until2p7(s254)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13051,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s254) | xuntil2p8(s254) | (~until2p7(s254))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13050, 13049])).
% 4.91/3.75 tff(13052,plain,
% 4.91/3.75 (xuntil2p8(s254) | (~until2p7(s254))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13051, 12469, 11260])).
% 4.91/3.75 tff(13053,plain,
% 4.91/3.75 (~until2p7(s254)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13052, 13048])).
% 4.91/3.75 tff(13054,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13055,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13056,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s253, s254)) | until2p7(s254) | (~xuntil2p8(s253))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13055, 13054])).
% 4.91/3.75 tff(13057,plain,
% 4.91/3.75 (until2p7(s254) | (~xuntil2p8(s253))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13056, 4813, 12484])).
% 4.91/3.75 tff(13058,plain,
% 4.91/3.75 (~xuntil2p8(s253)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13057, 13053])).
% 4.91/3.75 tff(13059,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s253) | xuntil2p8(s253) | (~until2p7(s253)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s253) | xuntil2p8(s253) | (~until2p7(s253)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13060,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s253) | xuntil2p8(s253) | (~until2p7(s253)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13061,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s253) | xuntil2p8(s253) | (~until2p7(s253))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13060, 13059])).
% 4.91/3.75 tff(13062,plain,
% 4.91/3.75 (xuntil2p8(s253) | (~until2p7(s253))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13061, 12469, 11243])).
% 4.91/3.75 tff(13063,plain,
% 4.91/3.75 (~until2p7(s253)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13062, 13058])).
% 4.91/3.75 tff(13064,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13065,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13066,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s252, s253)) | until2p7(s253) | (~xuntil2p8(s252))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13065, 13064])).
% 4.91/3.75 tff(13067,plain,
% 4.91/3.75 (until2p7(s253) | (~xuntil2p8(s252))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13066, 4825, 12484])).
% 4.91/3.75 tff(13068,plain,
% 4.91/3.75 (~xuntil2p8(s252)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13067, 13063])).
% 4.91/3.75 tff(13069,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s252) | xuntil2p8(s252) | (~until2p7(s252)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s252) | xuntil2p8(s252) | (~until2p7(s252)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13070,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s252) | xuntil2p8(s252) | (~until2p7(s252)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13071,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s252) | xuntil2p8(s252) | (~until2p7(s252))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 4.91/3.75 tff(13072,plain,
% 4.91/3.75 (xuntil2p8(s252) | (~until2p7(s252))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13071, 12469, 11226])).
% 4.91/3.75 tff(13073,plain,
% 4.91/3.75 (~until2p7(s252)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13072, 13068])).
% 4.91/3.75 tff(13074,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13075,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13076,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s251, s252)) | until2p7(s252) | (~xuntil2p8(s251))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13075, 13074])).
% 4.91/3.75 tff(13077,plain,
% 4.91/3.75 (until2p7(s252) | (~xuntil2p8(s251))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13076, 4837, 12484])).
% 4.91/3.75 tff(13078,plain,
% 4.91/3.75 (~xuntil2p8(s251)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13077, 13073])).
% 4.91/3.75 tff(13079,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s251) | xuntil2p8(s251) | (~until2p7(s251)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s251) | xuntil2p8(s251) | (~until2p7(s251)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13080,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s251) | xuntil2p8(s251) | (~until2p7(s251)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13081,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s251) | xuntil2p8(s251) | (~until2p7(s251))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13080, 13079])).
% 4.91/3.75 tff(13082,plain,
% 4.91/3.75 (xuntil2p8(s251) | (~until2p7(s251))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13081, 12469, 11209])).
% 4.91/3.75 tff(13083,plain,
% 4.91/3.75 (~until2p7(s251)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13082, 13078])).
% 4.91/3.75 tff(13084,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13085,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13086,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s250, s251)) | until2p7(s251) | (~xuntil2p8(s250))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 4.91/3.75 tff(13087,plain,
% 4.91/3.75 (until2p7(s251) | (~xuntil2p8(s250))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13086, 4849, 12484])).
% 4.91/3.75 tff(13088,plain,
% 4.91/3.75 (~xuntil2p8(s250)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13087, 13083])).
% 4.91/3.75 tff(13089,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s250) | xuntil2p8(s250) | (~until2p7(s250)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s250) | xuntil2p8(s250) | (~until2p7(s250)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13090,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s250) | xuntil2p8(s250) | (~until2p7(s250)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13091,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s250) | xuntil2p8(s250) | (~until2p7(s250))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13090, 13089])).
% 4.91/3.75 tff(13092,plain,
% 4.91/3.75 (xuntil2p8(s250) | (~until2p7(s250))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13091, 12469, 11192])).
% 4.91/3.75 tff(13093,plain,
% 4.91/3.75 (~until2p7(s250)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13092, 13088])).
% 4.91/3.75 tff(13094,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13095,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13096,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s249, s250)) | until2p7(s250) | (~xuntil2p8(s249))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13095, 13094])).
% 4.91/3.75 tff(13097,plain,
% 4.91/3.75 (until2p7(s250) | (~xuntil2p8(s249))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13096, 4861, 12484])).
% 4.91/3.75 tff(13098,plain,
% 4.91/3.75 (~xuntil2p8(s249)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13097, 13093])).
% 4.91/3.75 tff(13099,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s249) | xuntil2p8(s249) | (~until2p7(s249)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s249) | xuntil2p8(s249) | (~until2p7(s249)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13100,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s249) | xuntil2p8(s249) | (~until2p7(s249)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13101,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s249) | xuntil2p8(s249) | (~until2p7(s249))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13100, 13099])).
% 4.91/3.75 tff(13102,plain,
% 4.91/3.75 (xuntil2p8(s249) | (~until2p7(s249))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13101, 12469, 11175])).
% 4.91/3.75 tff(13103,plain,
% 4.91/3.75 (~until2p7(s249)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13102, 13098])).
% 4.91/3.75 tff(13104,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13105,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13106,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s248, s249)) | until2p7(s249) | (~xuntil2p8(s248))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13105, 13104])).
% 4.91/3.75 tff(13107,plain,
% 4.91/3.75 (until2p7(s249) | (~xuntil2p8(s248))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13106, 4873, 12484])).
% 4.91/3.75 tff(13108,plain,
% 4.91/3.75 (~xuntil2p8(s248)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13107, 13103])).
% 4.91/3.75 tff(13109,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s248) | xuntil2p8(s248) | (~until2p7(s248)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s248) | xuntil2p8(s248) | (~until2p7(s248)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13110,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s248) | xuntil2p8(s248) | (~until2p7(s248)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13111,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s248) | xuntil2p8(s248) | (~until2p7(s248))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13110, 13109])).
% 4.91/3.75 tff(13112,plain,
% 4.91/3.75 (xuntil2p8(s248) | (~until2p7(s248))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13111, 12469, 11158])).
% 4.91/3.75 tff(13113,plain,
% 4.91/3.75 (~until2p7(s248)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13112, 13108])).
% 4.91/3.75 tff(13114,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13115,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13116,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s247, s248)) | until2p7(s248) | (~xuntil2p8(s247))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13115, 13114])).
% 4.91/3.75 tff(13117,plain,
% 4.91/3.75 (until2p7(s248) | (~xuntil2p8(s247))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13116, 4885, 12484])).
% 4.91/3.75 tff(13118,plain,
% 4.91/3.75 (~xuntil2p8(s247)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13117, 13113])).
% 4.91/3.75 tff(13119,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s247) | xuntil2p8(s247) | (~until2p7(s247)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s247) | xuntil2p8(s247) | (~until2p7(s247)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13120,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s247) | xuntil2p8(s247) | (~until2p7(s247)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13121,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s247) | xuntil2p8(s247) | (~until2p7(s247))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13120, 13119])).
% 4.91/3.75 tff(13122,plain,
% 4.91/3.75 (xuntil2p8(s247) | (~until2p7(s247))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13121, 12469, 11141])).
% 4.91/3.75 tff(13123,plain,
% 4.91/3.75 (~until2p7(s247)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13122, 13118])).
% 4.91/3.75 tff(13124,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13125,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13126,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s246, s247)) | until2p7(s247) | (~xuntil2p8(s246))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 4.91/3.75 tff(13127,plain,
% 4.91/3.75 (until2p7(s247) | (~xuntil2p8(s246))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13126, 4897, 12484])).
% 4.91/3.75 tff(13128,plain,
% 4.91/3.75 (~xuntil2p8(s246)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13127, 13123])).
% 4.91/3.75 tff(13129,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s246) | xuntil2p8(s246) | (~until2p7(s246)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s246) | xuntil2p8(s246) | (~until2p7(s246)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13130,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s246) | xuntil2p8(s246) | (~until2p7(s246)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13131,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s246) | xuntil2p8(s246) | (~until2p7(s246))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13130, 13129])).
% 4.91/3.75 tff(13132,plain,
% 4.91/3.75 (xuntil2p8(s246) | (~until2p7(s246))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13131, 12469, 11124])).
% 4.91/3.75 tff(13133,plain,
% 4.91/3.75 (~until2p7(s246)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13132, 13128])).
% 4.91/3.75 tff(13134,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13135,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13136,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s245, s246)) | until2p7(s246) | (~xuntil2p8(s245))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13135, 13134])).
% 4.91/3.75 tff(13137,plain,
% 4.91/3.75 (until2p7(s246) | (~xuntil2p8(s245))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13136, 4909, 12484])).
% 4.91/3.75 tff(13138,plain,
% 4.91/3.75 (~xuntil2p8(s245)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13137, 13133])).
% 4.91/3.75 tff(13139,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s245) | xuntil2p8(s245) | (~until2p7(s245)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s245) | xuntil2p8(s245) | (~until2p7(s245)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13140,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s245) | xuntil2p8(s245) | (~until2p7(s245)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13141,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s245) | xuntil2p8(s245) | (~until2p7(s245))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 4.91/3.75 tff(13142,plain,
% 4.91/3.75 (xuntil2p8(s245) | (~until2p7(s245))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13141, 12469, 11107])).
% 4.91/3.75 tff(13143,plain,
% 4.91/3.75 (~until2p7(s245)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13142, 13138])).
% 4.91/3.75 tff(13144,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13145,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13146,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s244, s245)) | until2p7(s245) | (~xuntil2p8(s244))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13145, 13144])).
% 4.91/3.75 tff(13147,plain,
% 4.91/3.75 (until2p7(s245) | (~xuntil2p8(s244))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13146, 4921, 12484])).
% 4.91/3.75 tff(13148,plain,
% 4.91/3.75 (~xuntil2p8(s244)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13147, 13143])).
% 4.91/3.75 tff(13149,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s244) | xuntil2p8(s244) | (~until2p7(s244)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s244) | xuntil2p8(s244) | (~until2p7(s244)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13150,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s244) | xuntil2p8(s244) | (~until2p7(s244)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13151,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s244) | xuntil2p8(s244) | (~until2p7(s244))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13150, 13149])).
% 4.91/3.75 tff(13152,plain,
% 4.91/3.75 (xuntil2p8(s244) | (~until2p7(s244))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13151, 12469, 11090])).
% 4.91/3.75 tff(13153,plain,
% 4.91/3.75 (~until2p7(s244)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13152, 13148])).
% 4.91/3.75 tff(13154,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13155,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13156,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s243, s244)) | until2p7(s244) | (~xuntil2p8(s243))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13155, 13154])).
% 4.91/3.75 tff(13157,plain,
% 4.91/3.75 (until2p7(s244) | (~xuntil2p8(s243))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13156, 4933, 12484])).
% 4.91/3.75 tff(13158,plain,
% 4.91/3.75 (~xuntil2p8(s243)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13157, 13153])).
% 4.91/3.75 tff(13159,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s243) | xuntil2p8(s243) | (~until2p7(s243)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s243) | xuntil2p8(s243) | (~until2p7(s243)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13160,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s243) | xuntil2p8(s243) | (~until2p7(s243)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13161,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s243) | xuntil2p8(s243) | (~until2p7(s243))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13160, 13159])).
% 4.91/3.75 tff(13162,plain,
% 4.91/3.75 (xuntil2p8(s243) | (~until2p7(s243))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13161, 12469, 11073])).
% 4.91/3.75 tff(13163,plain,
% 4.91/3.75 (~until2p7(s243)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13162, 13158])).
% 4.91/3.75 tff(13164,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13165,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13166,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s242, s243)) | until2p7(s243) | (~xuntil2p8(s242))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13165, 13164])).
% 4.91/3.75 tff(13167,plain,
% 4.91/3.75 (until2p7(s243) | (~xuntil2p8(s242))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13166, 4945, 12484])).
% 4.91/3.75 tff(13168,plain,
% 4.91/3.75 (~xuntil2p8(s242)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13167, 13163])).
% 4.91/3.75 tff(13169,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s242) | xuntil2p8(s242) | (~until2p7(s242)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s242) | xuntil2p8(s242) | (~until2p7(s242)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13170,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s242) | xuntil2p8(s242) | (~until2p7(s242)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13171,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s242) | xuntil2p8(s242) | (~until2p7(s242))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13170, 13169])).
% 4.91/3.75 tff(13172,plain,
% 4.91/3.75 (xuntil2p8(s242) | (~until2p7(s242))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13171, 12469, 11056])).
% 4.91/3.75 tff(13173,plain,
% 4.91/3.75 (~until2p7(s242)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13172, 13168])).
% 4.91/3.75 tff(13174,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13175,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13176,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s241, s242)) | until2p7(s242) | (~xuntil2p8(s241))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13175, 13174])).
% 4.91/3.75 tff(13177,plain,
% 4.91/3.75 (until2p7(s242) | (~xuntil2p8(s241))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13176, 4957, 12484])).
% 4.91/3.75 tff(13178,plain,
% 4.91/3.75 (~xuntil2p8(s241)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13177, 13173])).
% 4.91/3.75 tff(13179,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s241) | xuntil2p8(s241) | (~until2p7(s241)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s241) | xuntil2p8(s241) | (~until2p7(s241)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13180,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s241) | xuntil2p8(s241) | (~until2p7(s241)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13181,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s241) | xuntil2p8(s241) | (~until2p7(s241))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13180, 13179])).
% 4.91/3.75 tff(13182,plain,
% 4.91/3.75 (xuntil2p8(s241) | (~until2p7(s241))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13181, 12469, 11039])).
% 4.91/3.75 tff(13183,plain,
% 4.91/3.75 (~until2p7(s241)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13182, 13178])).
% 4.91/3.75 tff(13184,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13185,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13186,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s240, s241)) | until2p7(s241) | (~xuntil2p8(s240))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13185, 13184])).
% 4.91/3.75 tff(13187,plain,
% 4.91/3.75 (until2p7(s241) | (~xuntil2p8(s240))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13186, 4969, 12484])).
% 4.91/3.75 tff(13188,plain,
% 4.91/3.75 (~xuntil2p8(s240)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13187, 13183])).
% 4.91/3.75 tff(13189,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s240) | xuntil2p8(s240) | (~until2p7(s240)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s240) | xuntil2p8(s240) | (~until2p7(s240)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13190,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s240) | xuntil2p8(s240) | (~until2p7(s240)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13191,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s240) | xuntil2p8(s240) | (~until2p7(s240))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13190, 13189])).
% 4.91/3.75 tff(13192,plain,
% 4.91/3.75 (xuntil2p8(s240) | (~until2p7(s240))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13191, 12469, 11022])).
% 4.91/3.75 tff(13193,plain,
% 4.91/3.75 (~until2p7(s240)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13192, 13188])).
% 4.91/3.75 tff(13194,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13195,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13196,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s239, s240)) | until2p7(s240) | (~xuntil2p8(s239))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13195, 13194])).
% 4.91/3.75 tff(13197,plain,
% 4.91/3.75 (until2p7(s240) | (~xuntil2p8(s239))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13196, 4981, 12484])).
% 4.91/3.75 tff(13198,plain,
% 4.91/3.75 (~xuntil2p8(s239)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13197, 13193])).
% 4.91/3.75 tff(13199,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s239) | xuntil2p8(s239) | (~until2p7(s239)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s239) | xuntil2p8(s239) | (~until2p7(s239)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13200,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s239) | xuntil2p8(s239) | (~until2p7(s239)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13201,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s239) | xuntil2p8(s239) | (~until2p7(s239))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13200, 13199])).
% 4.91/3.75 tff(13202,plain,
% 4.91/3.75 (xuntil2p8(s239) | (~until2p7(s239))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13201, 12469, 11005])).
% 4.91/3.75 tff(13203,plain,
% 4.91/3.75 (~until2p7(s239)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13202, 13198])).
% 4.91/3.75 tff(13204,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13205,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13206,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s238, s239)) | until2p7(s239) | (~xuntil2p8(s238))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13205, 13204])).
% 4.91/3.75 tff(13207,plain,
% 4.91/3.75 (until2p7(s239) | (~xuntil2p8(s238))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13206, 4993, 12484])).
% 4.91/3.75 tff(13208,plain,
% 4.91/3.75 (~xuntil2p8(s238)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13207, 13203])).
% 4.91/3.75 tff(13209,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s238) | xuntil2p8(s238) | (~until2p7(s238)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s238) | xuntil2p8(s238) | (~until2p7(s238)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13210,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s238) | xuntil2p8(s238) | (~until2p7(s238)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13211,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s238) | xuntil2p8(s238) | (~until2p7(s238))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13210, 13209])).
% 4.91/3.75 tff(13212,plain,
% 4.91/3.75 (xuntil2p8(s238) | (~until2p7(s238))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13211, 12469, 10988])).
% 4.91/3.75 tff(13213,plain,
% 4.91/3.75 (~until2p7(s238)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13212, 13208])).
% 4.91/3.75 tff(13214,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13215,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13216,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s237, s238)) | until2p7(s238) | (~xuntil2p8(s237))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13215, 13214])).
% 4.91/3.75 tff(13217,plain,
% 4.91/3.75 (until2p7(s238) | (~xuntil2p8(s237))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13216, 5005, 12484])).
% 4.91/3.75 tff(13218,plain,
% 4.91/3.75 (~xuntil2p8(s237)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13217, 13213])).
% 4.91/3.75 tff(13219,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s237) | xuntil2p8(s237) | (~until2p7(s237)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s237) | xuntil2p8(s237) | (~until2p7(s237)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13220,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s237) | xuntil2p8(s237) | (~until2p7(s237)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13221,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s237) | xuntil2p8(s237) | (~until2p7(s237))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13220, 13219])).
% 4.91/3.75 tff(13222,plain,
% 4.91/3.75 (xuntil2p8(s237) | (~until2p7(s237))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13221, 12469, 10971])).
% 4.91/3.75 tff(13223,plain,
% 4.91/3.75 (~until2p7(s237)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13222, 13218])).
% 4.91/3.75 tff(13224,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13225,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13226,plain,
% 4.91/3.75 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s236, s237)) | until2p7(s237) | (~xuntil2p8(s236))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13225, 13224])).
% 4.91/3.75 tff(13227,plain,
% 4.91/3.75 (until2p7(s237) | (~xuntil2p8(s236))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13226, 5017, 12484])).
% 4.91/3.75 tff(13228,plain,
% 4.91/3.75 (~xuntil2p8(s236)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13227, 13223])).
% 4.91/3.75 tff(13229,plain,
% 4.91/3.75 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s236) | xuntil2p8(s236) | (~until2p7(s236)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s236) | xuntil2p8(s236) | (~until2p7(s236)))),
% 4.91/3.75 inference(rewrite,[status(thm)],[])).
% 4.91/3.75 tff(13230,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s236) | xuntil2p8(s236) | (~until2p7(s236)))),
% 4.91/3.75 inference(quant_inst,[status(thm)],[])).
% 4.91/3.75 tff(13231,plain,
% 4.91/3.75 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s236) | xuntil2p8(s236) | (~until2p7(s236))),
% 4.91/3.75 inference(modus_ponens,[status(thm)],[13230, 13229])).
% 4.91/3.75 tff(13232,plain,
% 4.91/3.75 (xuntil2p8(s236) | (~until2p7(s236))),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13231, 12469, 10954])).
% 4.91/3.75 tff(13233,plain,
% 4.91/3.75 (~until2p7(s236)),
% 4.91/3.75 inference(unit_resolution,[status(thm)],[13232, 13228])).
% 4.91/3.75 tff(13234,plain,
% 4.91/3.75 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13235,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235)))),
% 4.91/3.76 inference(quant_inst,[status(thm)],[])).
% 4.91/3.76 tff(13236,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s235, s236)) | until2p7(s236) | (~xuntil2p8(s235))),
% 4.91/3.76 inference(modus_ponens,[status(thm)],[13235, 13234])).
% 4.91/3.76 tff(13237,plain,
% 4.91/3.76 (until2p7(s236) | (~xuntil2p8(s235))),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13236, 5029, 12484])).
% 4.91/3.76 tff(13238,plain,
% 4.91/3.76 (~xuntil2p8(s235)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13237, 13233])).
% 4.91/3.76 tff(13239,plain,
% 4.91/3.76 (~node4(s235)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[10705, 35, 5038])).
% 4.91/3.76 tff(13240,plain,
% 4.91/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s235) | xuntil2p8(s235) | (~until2p7(s235)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s235) | xuntil2p8(s235) | (~until2p7(s235)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13241,plain,
% 4.91/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s235) | xuntil2p8(s235) | (~until2p7(s235)))),
% 4.91/3.76 inference(quant_inst,[status(thm)],[])).
% 4.91/3.76 tff(13242,plain,
% 4.91/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s235) | xuntil2p8(s235) | (~until2p7(s235))),
% 4.91/3.76 inference(modus_ponens,[status(thm)],[13241, 13240])).
% 4.91/3.76 tff(13243,plain,
% 4.91/3.76 (xuntil2p8(s235) | (~until2p7(s235))),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13242, 12469, 13239])).
% 4.91/3.76 tff(13244,plain,
% 4.91/3.76 (~until2p7(s235)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13243, 13238])).
% 4.91/3.76 tff(13245,plain,
% 4.91/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13246,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234)))),
% 4.91/3.76 inference(quant_inst,[status(thm)],[])).
% 4.91/3.76 tff(13247,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s234, s235)) | until2p7(s235) | (~xuntil2p8(s234))),
% 4.91/3.76 inference(modus_ponens,[status(thm)],[13246, 13245])).
% 4.91/3.76 tff(13248,plain,
% 4.91/3.76 (until2p7(s235) | (~xuntil2p8(s234))),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13247, 5041, 12484])).
% 4.91/3.76 tff(13249,plain,
% 4.91/3.76 (~xuntil2p8(s234)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13248, 13244])).
% 4.91/3.76 tff(13250,plain,
% 4.91/3.76 (~node4(s234)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[10701, 35, 5050])).
% 4.91/3.76 tff(13251,plain,
% 4.91/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s234) | xuntil2p8(s234) | (~until2p7(s234)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s234) | xuntil2p8(s234) | (~until2p7(s234)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13252,plain,
% 4.91/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s234) | xuntil2p8(s234) | (~until2p7(s234)))),
% 4.91/3.76 inference(quant_inst,[status(thm)],[])).
% 4.91/3.76 tff(13253,plain,
% 4.91/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s234) | xuntil2p8(s234) | (~until2p7(s234))),
% 4.91/3.76 inference(modus_ponens,[status(thm)],[13252, 13251])).
% 4.91/3.76 tff(13254,plain,
% 4.91/3.76 (xuntil2p8(s234) | (~until2p7(s234))),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13253, 12469, 13250])).
% 4.91/3.76 tff(13255,plain,
% 4.91/3.76 (~until2p7(s234)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13254, 13249])).
% 4.91/3.76 tff(13256,plain,
% 4.91/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13257,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233)))),
% 4.91/3.76 inference(quant_inst,[status(thm)],[])).
% 4.91/3.76 tff(13258,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s233, s234)) | until2p7(s234) | (~xuntil2p8(s233))),
% 4.91/3.76 inference(modus_ponens,[status(thm)],[13257, 13256])).
% 4.91/3.76 tff(13259,plain,
% 4.91/3.76 (until2p7(s234) | (~xuntil2p8(s233))),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13258, 5053, 12484])).
% 4.91/3.76 tff(13260,plain,
% 4.91/3.76 (~xuntil2p8(s233)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13259, 13255])).
% 4.91/3.76 tff(13261,plain,
% 4.91/3.76 (~node4(s233)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[10736, 35, 5062])).
% 4.91/3.76 tff(13262,plain,
% 4.91/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s233) | xuntil2p8(s233) | (~until2p7(s233)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s233) | xuntil2p8(s233) | (~until2p7(s233)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13263,plain,
% 4.91/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s233) | xuntil2p8(s233) | (~until2p7(s233)))),
% 4.91/3.76 inference(quant_inst,[status(thm)],[])).
% 4.91/3.76 tff(13264,plain,
% 4.91/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s233) | xuntil2p8(s233) | (~until2p7(s233))),
% 4.91/3.76 inference(modus_ponens,[status(thm)],[13263, 13262])).
% 4.91/3.76 tff(13265,plain,
% 4.91/3.76 (xuntil2p8(s233) | (~until2p7(s233))),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13264, 12469, 13261])).
% 4.91/3.76 tff(13266,plain,
% 4.91/3.76 (~until2p7(s233)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13265, 13260])).
% 4.91/3.76 tff(13267,plain,
% 4.91/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13268,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232)))),
% 4.91/3.76 inference(quant_inst,[status(thm)],[])).
% 4.91/3.76 tff(13269,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s232, s233)) | until2p7(s233) | (~xuntil2p8(s232))),
% 4.91/3.76 inference(modus_ponens,[status(thm)],[13268, 13267])).
% 4.91/3.76 tff(13270,plain,
% 4.91/3.76 (until2p7(s233) | (~xuntil2p8(s232))),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13269, 5065, 12484])).
% 4.91/3.76 tff(13271,plain,
% 4.91/3.76 (~xuntil2p8(s232)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13270, 13266])).
% 4.91/3.76 tff(13272,plain,
% 4.91/3.76 (~node4(s232)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[10754, 35, 5074])).
% 4.91/3.76 tff(13273,plain,
% 4.91/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s232) | xuntil2p8(s232) | (~until2p7(s232)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s232) | xuntil2p8(s232) | (~until2p7(s232)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13274,plain,
% 4.91/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s232) | xuntil2p8(s232) | (~until2p7(s232)))),
% 4.91/3.76 inference(quant_inst,[status(thm)],[])).
% 4.91/3.76 tff(13275,plain,
% 4.91/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s232) | xuntil2p8(s232) | (~until2p7(s232))),
% 4.91/3.76 inference(modus_ponens,[status(thm)],[13274, 13273])).
% 4.91/3.76 tff(13276,plain,
% 4.91/3.76 (xuntil2p8(s232) | (~until2p7(s232))),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13275, 12469, 13272])).
% 4.91/3.76 tff(13277,plain,
% 4.91/3.76 (~until2p7(s232)),
% 4.91/3.76 inference(unit_resolution,[status(thm)],[13276, 13271])).
% 4.91/3.76 tff(13278,plain,
% 4.91/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231)))),
% 4.91/3.76 inference(rewrite,[status(thm)],[])).
% 4.91/3.76 tff(13279,plain,
% 4.91/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13280,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s231, s232)) | until2p7(s232) | (~xuntil2p8(s231))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13279, 13278])).
% 5.00/3.76 tff(13281,plain,
% 5.00/3.76 (until2p7(s232) | (~xuntil2p8(s231))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13280, 5077, 12484])).
% 5.00/3.76 tff(13282,plain,
% 5.00/3.76 (~xuntil2p8(s231)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13281, 13277])).
% 5.00/3.76 tff(13283,plain,
% 5.00/3.76 (~node4(s231)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[10772, 35, 5086])).
% 5.00/3.76 tff(13284,plain,
% 5.00/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s231) | xuntil2p8(s231) | (~until2p7(s231)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s231) | xuntil2p8(s231) | (~until2p7(s231)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13285,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s231) | xuntil2p8(s231) | (~until2p7(s231)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13286,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s231) | xuntil2p8(s231) | (~until2p7(s231))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13285, 13284])).
% 5.00/3.76 tff(13287,plain,
% 5.00/3.76 (xuntil2p8(s231) | (~until2p7(s231))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13286, 12469, 13283])).
% 5.00/3.76 tff(13288,plain,
% 5.00/3.76 (~until2p7(s231)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13287, 13282])).
% 5.00/3.76 tff(13289,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13290,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13291,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s230, s231)) | until2p7(s231) | (~xuntil2p8(s230))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13290, 13289])).
% 5.00/3.76 tff(13292,plain,
% 5.00/3.76 (until2p7(s231) | (~xuntil2p8(s230))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13291, 5089, 12484])).
% 5.00/3.76 tff(13293,plain,
% 5.00/3.76 (~xuntil2p8(s230)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13292, 13288])).
% 5.00/3.76 tff(13294,assumption,(node4(s230)), introduced(assumption)).
% 5.00/3.76 tff(13295,plain,
% 5.00/3.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s230) | (~node4(s230)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s230) | (~node4(s230)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13296,plain,
% 5.00/3.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s230) | (~node4(s230)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13297,plain,
% 5.00/3.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s230) | (~node4(s230))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 5.00/3.76 tff(13298,plain,
% 5.00/3.76 (m_main_v_request(s230)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13297, 17, 13294])).
% 5.00/3.76 tff(13299,plain,
% 5.00/3.76 (always3(s230)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[10790, 35, 13294])).
% 5.00/3.76 tff(13300,plain,
% 5.00/3.76 (always3(s231)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[5097, 13299])).
% 5.00/3.76 tff(13301,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s231)) | (~m_main_v_state(s231, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s231)) | (~m_main_v_state(s231, c_busy)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13302,plain,
% 5.00/3.76 (((~m_main_v_state(s231, c_busy)) | (~always3(s231))) <=> ((~always3(s231)) | (~m_main_v_state(s231, c_busy)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13303,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s231, c_busy)) | (~always3(s231)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s231)) | (~m_main_v_state(s231, c_busy))))),
% 5.00/3.76 inference(monotonicity,[status(thm)],[13302])).
% 5.00/3.76 tff(13304,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s231, c_busy)) | (~always3(s231)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s231)) | (~m_main_v_state(s231, c_busy)))),
% 5.00/3.76 inference(transitivity,[status(thm)],[13303, 13301])).
% 5.00/3.76 tff(13305,plain,
% 5.00/3.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s231, c_busy)) | (~always3(s231)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13306,plain,
% 5.00/3.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s231)) | (~m_main_v_state(s231, c_busy))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13305, 13304])).
% 5.00/3.76 tff(13307,plain,
% 5.00/3.76 (~m_main_v_state(s231, c_busy)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13306, 75, 13300])).
% 5.00/3.76 tff(13308,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s230, s231)) | node2(s230, s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s230, s231)) | node2(s230, s231))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13309,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s230, s231)) | node2(s230, s231))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13310,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s230, s231)) | node2(s230, s231)),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13309, 13308])).
% 5.00/3.76 tff(13311,plain,
% 5.00/3.76 (node2(s230, s231)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13310, 7, 5093])).
% 5.00/3.76 tff(13312,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13313,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13314,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s230, c_ready)) | (~node2(s230, s231)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13313, 13312])).
% 5.00/3.76 tff(13315,plain,
% 5.00/3.76 ((~m_main_v_state(s230, c_ready)) | m_main_v_state(s231, c_busy) | (~m_main_v_request(s230))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13314, 96, 13311])).
% 5.00/3.76 tff(13316,plain,
% 5.00/3.76 (~m_main_v_state(s230, c_ready)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13315, 13307, 13298])).
% 5.00/3.76 tff(13317,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s230)) | (~m_main_v_state(s230, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s230)) | (~m_main_v_state(s230, c_busy)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13318,plain,
% 5.00/3.76 (((~m_main_v_state(s230, c_busy)) | (~always3(s230))) <=> ((~always3(s230)) | (~m_main_v_state(s230, c_busy)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13319,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s230, c_busy)) | (~always3(s230)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s230)) | (~m_main_v_state(s230, c_busy))))),
% 5.00/3.76 inference(monotonicity,[status(thm)],[13318])).
% 5.00/3.76 tff(13320,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s230, c_busy)) | (~always3(s230)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s230)) | (~m_main_v_state(s230, c_busy)))),
% 5.00/3.76 inference(transitivity,[status(thm)],[13319, 13317])).
% 5.00/3.76 tff(13321,plain,
% 5.00/3.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s230, c_busy)) | (~always3(s230)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13322,plain,
% 5.00/3.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s230)) | (~m_main_v_state(s230, c_busy))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13321, 13320])).
% 5.00/3.76 tff(13323,plain,
% 5.00/3.76 (~m_main_v_state(s230, c_busy)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13322, 75, 13299])).
% 5.00/3.76 tff(13324,plain,
% 5.00/3.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13325,plain,
% 5.00/3.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13326,plain,
% 5.00/3.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s230, c_busy) | m_main_v_state(s230, c_ready)),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13325, 13324])).
% 5.00/3.76 tff(13327,plain,
% 5.00/3.76 ($false),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13326, 118, 13323, 13316])).
% 5.00/3.76 tff(13328,plain,(~node4(s230)), inference(lemma,lemma(discharge,[]))).
% 5.00/3.76 tff(13329,plain,
% 5.00/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s230) | xuntil2p8(s230) | (~until2p7(s230)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s230) | xuntil2p8(s230) | (~until2p7(s230)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13330,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s230) | xuntil2p8(s230) | (~until2p7(s230)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13331,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s230) | xuntil2p8(s230) | (~until2p7(s230))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13330, 13329])).
% 5.00/3.76 tff(13332,plain,
% 5.00/3.76 (xuntil2p8(s230) | (~until2p7(s230))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13331, 12469, 13328])).
% 5.00/3.76 tff(13333,plain,
% 5.00/3.76 (~until2p7(s230)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13332, 13293])).
% 5.00/3.76 tff(13334,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13335,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13336,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s229, s230)) | until2p7(s230) | (~xuntil2p8(s229))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13335, 13334])).
% 5.00/3.76 tff(13337,plain,
% 5.00/3.76 (until2p7(s230) | (~xuntil2p8(s229))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13336, 5101, 12484])).
% 5.00/3.76 tff(13338,plain,
% 5.00/3.76 (~xuntil2p8(s229)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13337, 13333])).
% 5.00/3.76 tff(13339,plain,
% 5.00/3.76 (~node4(s229)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[10808, 35, 5110])).
% 5.00/3.76 tff(13340,plain,
% 5.00/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s229) | xuntil2p8(s229) | (~until2p7(s229)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s229) | xuntil2p8(s229) | (~until2p7(s229)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13341,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s229) | xuntil2p8(s229) | (~until2p7(s229)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13342,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s229) | xuntil2p8(s229) | (~until2p7(s229))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13341, 13340])).
% 5.00/3.76 tff(13343,plain,
% 5.00/3.76 (xuntil2p8(s229) | (~until2p7(s229))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13342, 12469, 13339])).
% 5.00/3.76 tff(13344,plain,
% 5.00/3.76 (~until2p7(s229)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13343, 13338])).
% 5.00/3.76 tff(13345,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13346,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13347,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s228, s229)) | until2p7(s229) | (~xuntil2p8(s228))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13346, 13345])).
% 5.00/3.76 tff(13348,plain,
% 5.00/3.76 (until2p7(s229) | (~xuntil2p8(s228))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13347, 5113, 12484])).
% 5.00/3.76 tff(13349,plain,
% 5.00/3.76 (~xuntil2p8(s228)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13348, 13344])).
% 5.00/3.76 tff(13350,assumption,(node4(s228)), introduced(assumption)).
% 5.00/3.76 tff(13351,plain,
% 5.00/3.76 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s228) | (~node4(s228)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s228) | (~node4(s228)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13352,plain,
% 5.00/3.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s228) | (~node4(s228)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13353,plain,
% 5.00/3.76 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s228) | (~node4(s228))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 5.00/3.76 tff(13354,plain,
% 5.00/3.76 (m_main_v_request(s228)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13353, 17, 13350])).
% 5.00/3.76 tff(13355,plain,
% 5.00/3.76 (always3(s228)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[10929, 35, 13350])).
% 5.00/3.76 tff(13356,plain,
% 5.00/3.76 (always3(s229)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[5121, 13355])).
% 5.00/3.76 tff(13357,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s229)) | (~m_main_v_state(s229, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s229)) | (~m_main_v_state(s229, c_busy)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13358,plain,
% 5.00/3.76 (((~m_main_v_state(s229, c_busy)) | (~always3(s229))) <=> ((~always3(s229)) | (~m_main_v_state(s229, c_busy)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13359,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s229, c_busy)) | (~always3(s229)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s229)) | (~m_main_v_state(s229, c_busy))))),
% 5.00/3.76 inference(monotonicity,[status(thm)],[13358])).
% 5.00/3.76 tff(13360,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s229, c_busy)) | (~always3(s229)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s229)) | (~m_main_v_state(s229, c_busy)))),
% 5.00/3.76 inference(transitivity,[status(thm)],[13359, 13357])).
% 5.00/3.76 tff(13361,plain,
% 5.00/3.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s229, c_busy)) | (~always3(s229)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13362,plain,
% 5.00/3.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s229)) | (~m_main_v_state(s229, c_busy))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13361, 13360])).
% 5.00/3.76 tff(13363,plain,
% 5.00/3.76 (~m_main_v_state(s229, c_busy)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13362, 75, 13356])).
% 5.00/3.76 tff(13364,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s228, s229)) | node2(s228, s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s228, s229)) | node2(s228, s229))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13365,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s228, s229)) | node2(s228, s229))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13366,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s228, s229)) | node2(s228, s229)),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13365, 13364])).
% 5.00/3.76 tff(13367,plain,
% 5.00/3.76 (node2(s228, s229)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13366, 7, 5117])).
% 5.00/3.76 tff(13368,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13369,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13370,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s228, c_ready)) | (~node2(s228, s229)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13369, 13368])).
% 5.00/3.76 tff(13371,plain,
% 5.00/3.76 ((~m_main_v_state(s228, c_ready)) | m_main_v_state(s229, c_busy) | (~m_main_v_request(s228))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13370, 96, 13367])).
% 5.00/3.76 tff(13372,plain,
% 5.00/3.76 (~m_main_v_state(s228, c_ready)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13371, 13363, 13354])).
% 5.00/3.76 tff(13373,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s228)) | (~m_main_v_state(s228, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s228)) | (~m_main_v_state(s228, c_busy)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13374,plain,
% 5.00/3.76 (((~m_main_v_state(s228, c_busy)) | (~always3(s228))) <=> ((~always3(s228)) | (~m_main_v_state(s228, c_busy)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13375,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s228, c_busy)) | (~always3(s228)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s228)) | (~m_main_v_state(s228, c_busy))))),
% 5.00/3.76 inference(monotonicity,[status(thm)],[13374])).
% 5.00/3.76 tff(13376,plain,
% 5.00/3.76 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s228, c_busy)) | (~always3(s228)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s228)) | (~m_main_v_state(s228, c_busy)))),
% 5.00/3.76 inference(transitivity,[status(thm)],[13375, 13373])).
% 5.00/3.76 tff(13377,plain,
% 5.00/3.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s228, c_busy)) | (~always3(s228)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13378,plain,
% 5.00/3.76 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s228)) | (~m_main_v_state(s228, c_busy))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13377, 13376])).
% 5.00/3.76 tff(13379,plain,
% 5.00/3.76 (~m_main_v_state(s228, c_busy)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13378, 75, 13355])).
% 5.00/3.76 tff(13380,plain,
% 5.00/3.76 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13381,plain,
% 5.00/3.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13382,plain,
% 5.00/3.76 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s228, c_busy) | m_main_v_state(s228, c_ready)),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13381, 13380])).
% 5.00/3.76 tff(13383,plain,
% 5.00/3.76 ($false),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13382, 118, 13379, 13372])).
% 5.00/3.76 tff(13384,plain,(~node4(s228)), inference(lemma,lemma(discharge,[]))).
% 5.00/3.76 tff(13385,plain,
% 5.00/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s228) | xuntil2p8(s228) | (~until2p7(s228)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s228) | xuntil2p8(s228) | (~until2p7(s228)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13386,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s228) | xuntil2p8(s228) | (~until2p7(s228)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13387,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s228) | xuntil2p8(s228) | (~until2p7(s228))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13386, 13385])).
% 5.00/3.76 tff(13388,plain,
% 5.00/3.76 (xuntil2p8(s228) | (~until2p7(s228))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13387, 12469, 13384])).
% 5.00/3.76 tff(13389,plain,
% 5.00/3.76 (~until2p7(s228)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13388, 13349])).
% 5.00/3.76 tff(13390,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13391,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13392,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s227, s228)) | until2p7(s228) | (~xuntil2p8(s227))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13391, 13390])).
% 5.00/3.76 tff(13393,plain,
% 5.00/3.76 (until2p7(s228) | (~xuntil2p8(s227))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13392, 5125, 12484])).
% 5.00/3.76 tff(13394,plain,
% 5.00/3.76 (~xuntil2p8(s227)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13393, 13389])).
% 5.00/3.76 tff(13395,plain,
% 5.00/3.76 (~node4(s227)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[10912, 35, 5134])).
% 5.00/3.76 tff(13396,plain,
% 5.00/3.76 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s227) | xuntil2p8(s227) | (~until2p7(s227)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s227) | xuntil2p8(s227) | (~until2p7(s227)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13397,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s227) | xuntil2p8(s227) | (~until2p7(s227)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13398,plain,
% 5.00/3.76 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s227) | xuntil2p8(s227) | (~until2p7(s227))),
% 5.00/3.76 inference(modus_ponens,[status(thm)],[13397, 13396])).
% 5.00/3.76 tff(13399,plain,
% 5.00/3.76 (xuntil2p8(s227) | (~until2p7(s227))),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13398, 12469, 13395])).
% 5.00/3.76 tff(13400,plain,
% 5.00/3.76 (~until2p7(s227)),
% 5.00/3.76 inference(unit_resolution,[status(thm)],[13399, 13394])).
% 5.00/3.76 tff(13401,plain,
% 5.00/3.76 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226)))),
% 5.00/3.76 inference(rewrite,[status(thm)],[])).
% 5.00/3.76 tff(13402,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226)))),
% 5.00/3.76 inference(quant_inst,[status(thm)],[])).
% 5.00/3.76 tff(13403,plain,
% 5.00/3.76 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s226, s227)) | until2p7(s227) | (~xuntil2p8(s226))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13402, 13401])).
% 5.00/3.77 tff(13404,plain,
% 5.00/3.77 (until2p7(s227) | (~xuntil2p8(s226))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13403, 5137, 12484])).
% 5.00/3.77 tff(13405,plain,
% 5.00/3.77 (~xuntil2p8(s226)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13404, 13400])).
% 5.00/3.77 tff(13406,plain,
% 5.00/3.77 (~node4(s226)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10895, 35, 5146])).
% 5.00/3.77 tff(13407,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s226) | xuntil2p8(s226) | (~until2p7(s226)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s226) | xuntil2p8(s226) | (~until2p7(s226)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13408,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s226) | xuntil2p8(s226) | (~until2p7(s226)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13409,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s226) | xuntil2p8(s226) | (~until2p7(s226))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 5.00/3.77 tff(13410,plain,
% 5.00/3.77 (xuntil2p8(s226) | (~until2p7(s226))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13409, 12469, 13406])).
% 5.00/3.77 tff(13411,plain,
% 5.00/3.77 (~until2p7(s226)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13410, 13405])).
% 5.00/3.77 tff(13412,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13413,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13414,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s225, s226)) | until2p7(s226) | (~xuntil2p8(s225))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13413, 13412])).
% 5.00/3.77 tff(13415,plain,
% 5.00/3.77 (until2p7(s226) | (~xuntil2p8(s225))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13414, 5149, 12484])).
% 5.00/3.77 tff(13416,plain,
% 5.00/3.77 (~xuntil2p8(s225)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13415, 13411])).
% 5.00/3.77 tff(13417,plain,
% 5.00/3.77 (~node4(s225)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10878, 35, 5158])).
% 5.00/3.77 tff(13418,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s225) | xuntil2p8(s225) | (~until2p7(s225)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s225) | xuntil2p8(s225) | (~until2p7(s225)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13419,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s225) | xuntil2p8(s225) | (~until2p7(s225)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13420,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s225) | xuntil2p8(s225) | (~until2p7(s225))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13419, 13418])).
% 5.00/3.77 tff(13421,plain,
% 5.00/3.77 (xuntil2p8(s225) | (~until2p7(s225))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13420, 12469, 13417])).
% 5.00/3.77 tff(13422,plain,
% 5.00/3.77 (~until2p7(s225)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13421, 13416])).
% 5.00/3.77 tff(13423,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13424,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13425,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s224, s225)) | until2p7(s225) | (~xuntil2p8(s224))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13424, 13423])).
% 5.00/3.77 tff(13426,plain,
% 5.00/3.77 (until2p7(s225) | (~xuntil2p8(s224))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13425, 5161, 12484])).
% 5.00/3.77 tff(13427,plain,
% 5.00/3.77 (~xuntil2p8(s224)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13426, 13422])).
% 5.00/3.77 tff(13428,assumption,(node4(s224)), introduced(assumption)).
% 5.00/3.77 tff(13429,plain,
% 5.00/3.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s224) | (~node4(s224)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s224) | (~node4(s224)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13430,plain,
% 5.00/3.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s224) | (~node4(s224)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13431,plain,
% 5.00/3.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s224) | (~node4(s224))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 5.00/3.77 tff(13432,plain,
% 5.00/3.77 (m_main_v_request(s224)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13431, 17, 13428])).
% 5.00/3.77 tff(13433,plain,
% 5.00/3.77 (always3(s224)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10861, 35, 13428])).
% 5.00/3.77 tff(13434,plain,
% 5.00/3.77 (always3(s225)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[5169, 13433])).
% 5.00/3.77 tff(13435,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s225)) | (~m_main_v_state(s225, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s225)) | (~m_main_v_state(s225, c_busy)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13436,plain,
% 5.00/3.77 (((~m_main_v_state(s225, c_busy)) | (~always3(s225))) <=> ((~always3(s225)) | (~m_main_v_state(s225, c_busy)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13437,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s225, c_busy)) | (~always3(s225)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s225)) | (~m_main_v_state(s225, c_busy))))),
% 5.00/3.77 inference(monotonicity,[status(thm)],[13436])).
% 5.00/3.77 tff(13438,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s225, c_busy)) | (~always3(s225)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s225)) | (~m_main_v_state(s225, c_busy)))),
% 5.00/3.77 inference(transitivity,[status(thm)],[13437, 13435])).
% 5.00/3.77 tff(13439,plain,
% 5.00/3.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s225, c_busy)) | (~always3(s225)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13440,plain,
% 5.00/3.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s225)) | (~m_main_v_state(s225, c_busy))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13439, 13438])).
% 5.00/3.77 tff(13441,plain,
% 5.00/3.77 (~m_main_v_state(s225, c_busy)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13440, 75, 13434])).
% 5.00/3.77 tff(13442,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s224, s225)) | node2(s224, s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s224, s225)) | node2(s224, s225))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13443,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s224, s225)) | node2(s224, s225))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13444,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s224, s225)) | node2(s224, s225)),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13443, 13442])).
% 5.00/3.77 tff(13445,plain,
% 5.00/3.77 (node2(s224, s225)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13444, 7, 5165])).
% 5.00/3.77 tff(13446,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13447,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13448,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s224, c_ready)) | (~node2(s224, s225)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13447, 13446])).
% 5.00/3.77 tff(13449,plain,
% 5.00/3.77 ((~m_main_v_state(s224, c_ready)) | m_main_v_state(s225, c_busy) | (~m_main_v_request(s224))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13448, 96, 13445])).
% 5.00/3.77 tff(13450,plain,
% 5.00/3.77 (~m_main_v_state(s224, c_ready)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13449, 13441, 13432])).
% 5.00/3.77 tff(13451,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s224)) | (~m_main_v_state(s224, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s224)) | (~m_main_v_state(s224, c_busy)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13452,plain,
% 5.00/3.77 (((~m_main_v_state(s224, c_busy)) | (~always3(s224))) <=> ((~always3(s224)) | (~m_main_v_state(s224, c_busy)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13453,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s224, c_busy)) | (~always3(s224)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s224)) | (~m_main_v_state(s224, c_busy))))),
% 5.00/3.77 inference(monotonicity,[status(thm)],[13452])).
% 5.00/3.77 tff(13454,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s224, c_busy)) | (~always3(s224)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s224)) | (~m_main_v_state(s224, c_busy)))),
% 5.00/3.77 inference(transitivity,[status(thm)],[13453, 13451])).
% 5.00/3.77 tff(13455,plain,
% 5.00/3.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s224, c_busy)) | (~always3(s224)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13456,plain,
% 5.00/3.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s224)) | (~m_main_v_state(s224, c_busy))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13455, 13454])).
% 5.00/3.77 tff(13457,plain,
% 5.00/3.77 (~m_main_v_state(s224, c_busy)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13456, 75, 13433])).
% 5.00/3.77 tff(13458,plain,
% 5.00/3.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13459,plain,
% 5.00/3.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13460,plain,
% 5.00/3.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s224, c_busy) | m_main_v_state(s224, c_ready)),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13459, 13458])).
% 5.00/3.77 tff(13461,plain,
% 5.00/3.77 ($false),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13460, 118, 13457, 13450])).
% 5.00/3.77 tff(13462,plain,(~node4(s224)), inference(lemma,lemma(discharge,[]))).
% 5.00/3.77 tff(13463,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s224) | xuntil2p8(s224) | (~until2p7(s224)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s224) | xuntil2p8(s224) | (~until2p7(s224)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13464,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s224) | xuntil2p8(s224) | (~until2p7(s224)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13465,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s224) | xuntil2p8(s224) | (~until2p7(s224))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13464, 13463])).
% 5.00/3.77 tff(13466,plain,
% 5.00/3.77 (xuntil2p8(s224) | (~until2p7(s224))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13465, 12469, 13462])).
% 5.00/3.77 tff(13467,plain,
% 5.00/3.77 (~until2p7(s224)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13466, 13427])).
% 5.00/3.77 tff(13468,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13469,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13470,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s223, s224)) | until2p7(s224) | (~xuntil2p8(s223))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13469, 13468])).
% 5.00/3.77 tff(13471,plain,
% 5.00/3.77 (until2p7(s224) | (~xuntil2p8(s223))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13470, 5173, 12484])).
% 5.00/3.77 tff(13472,plain,
% 5.00/3.77 (~xuntil2p8(s223)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13471, 13467])).
% 5.00/3.77 tff(13473,plain,
% 5.00/3.77 (~node4(s223)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10826, 35, 5182])).
% 5.00/3.77 tff(13474,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s223) | xuntil2p8(s223) | (~until2p7(s223)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s223) | xuntil2p8(s223) | (~until2p7(s223)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13475,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s223) | xuntil2p8(s223) | (~until2p7(s223)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13476,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s223) | xuntil2p8(s223) | (~until2p7(s223))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13475, 13474])).
% 5.00/3.77 tff(13477,plain,
% 5.00/3.77 (xuntil2p8(s223) | (~until2p7(s223))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13476, 12469, 13473])).
% 5.00/3.77 tff(13478,plain,
% 5.00/3.77 (~until2p7(s223)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13477, 13472])).
% 5.00/3.77 tff(13479,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13480,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13481,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s222, s223)) | until2p7(s223) | (~xuntil2p8(s222))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13480, 13479])).
% 5.00/3.77 tff(13482,plain,
% 5.00/3.77 (until2p7(s223) | (~xuntil2p8(s222))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13481, 5185, 12484])).
% 5.00/3.77 tff(13483,plain,
% 5.00/3.77 (~xuntil2p8(s222)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13482, 13478])).
% 5.00/3.77 tff(13484,plain,
% 5.00/3.77 (~node4(s222)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10831, 35, 5194])).
% 5.00/3.77 tff(13485,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s222) | xuntil2p8(s222) | (~until2p7(s222)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s222) | xuntil2p8(s222) | (~until2p7(s222)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13486,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s222) | xuntil2p8(s222) | (~until2p7(s222)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13487,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s222) | xuntil2p8(s222) | (~until2p7(s222))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 5.00/3.77 tff(13488,plain,
% 5.00/3.77 (xuntil2p8(s222) | (~until2p7(s222))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13487, 12469, 13484])).
% 5.00/3.77 tff(13489,plain,
% 5.00/3.77 (~until2p7(s222)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13488, 13483])).
% 5.00/3.77 tff(13490,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13491,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13492,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s221, s222)) | until2p7(s222) | (~xuntil2p8(s221))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13491, 13490])).
% 5.00/3.77 tff(13493,plain,
% 5.00/3.77 (until2p7(s222) | (~xuntil2p8(s221))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13492, 5197, 12484])).
% 5.00/3.77 tff(13494,plain,
% 5.00/3.77 (~xuntil2p8(s221)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13493, 13489])).
% 5.00/3.77 tff(13495,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s221) | xuntil2p8(s221) | (~until2p7(s221)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s221) | xuntil2p8(s221) | (~until2p7(s221)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13496,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s221) | xuntil2p8(s221) | (~until2p7(s221)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13497,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s221) | xuntil2p8(s221) | (~until2p7(s221))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13496, 13495])).
% 5.00/3.77 tff(13498,plain,
% 5.00/3.77 (xuntil2p8(s221) | (~until2p7(s221))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13497, 12469, 10683])).
% 5.00/3.77 tff(13499,plain,
% 5.00/3.77 (~until2p7(s221)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13498, 13494])).
% 5.00/3.77 tff(13500,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13501,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13502,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s220, s221)) | until2p7(s221) | (~xuntil2p8(s220))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13501, 13500])).
% 5.00/3.77 tff(13503,plain,
% 5.00/3.77 (until2p7(s221) | (~xuntil2p8(s220))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13502, 5209, 12484])).
% 5.00/3.77 tff(13504,plain,
% 5.00/3.77 (~xuntil2p8(s220)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13503, 13499])).
% 5.00/3.77 tff(13505,plain,
% 5.00/3.77 (~node4(s220)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10344, 35, 5218])).
% 5.00/3.77 tff(13506,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s220) | xuntil2p8(s220) | (~until2p7(s220)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s220) | xuntil2p8(s220) | (~until2p7(s220)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13507,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s220) | xuntil2p8(s220) | (~until2p7(s220)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13508,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s220) | xuntil2p8(s220) | (~until2p7(s220))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13507, 13506])).
% 5.00/3.77 tff(13509,plain,
% 5.00/3.77 (xuntil2p8(s220) | (~until2p7(s220))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13508, 12469, 13505])).
% 5.00/3.77 tff(13510,plain,
% 5.00/3.77 (~until2p7(s220)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13509, 13504])).
% 5.00/3.77 tff(13511,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13512,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13513,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s219, s220)) | until2p7(s220) | (~xuntil2p8(s219))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13512, 13511])).
% 5.00/3.77 tff(13514,plain,
% 5.00/3.77 (until2p7(s220) | (~xuntil2p8(s219))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13513, 5221, 12484])).
% 5.00/3.77 tff(13515,plain,
% 5.00/3.77 (~xuntil2p8(s219)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13514, 13510])).
% 5.00/3.77 tff(13516,plain,
% 5.00/3.77 (~node4(s219)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10340, 35, 5230])).
% 5.00/3.77 tff(13517,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s219) | xuntil2p8(s219) | (~until2p7(s219)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s219) | xuntil2p8(s219) | (~until2p7(s219)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13518,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s219) | xuntil2p8(s219) | (~until2p7(s219)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13519,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s219) | xuntil2p8(s219) | (~until2p7(s219))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13518, 13517])).
% 5.00/3.77 tff(13520,plain,
% 5.00/3.77 (xuntil2p8(s219) | (~until2p7(s219))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13519, 12469, 13516])).
% 5.00/3.77 tff(13521,plain,
% 5.00/3.77 (~until2p7(s219)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13520, 13515])).
% 5.00/3.77 tff(13522,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13523,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13524,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s218, s219)) | until2p7(s219) | (~xuntil2p8(s218))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13523, 13522])).
% 5.00/3.77 tff(13525,plain,
% 5.00/3.77 (until2p7(s219) | (~xuntil2p8(s218))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13524, 5233, 12484])).
% 5.00/3.77 tff(13526,plain,
% 5.00/3.77 (~xuntil2p8(s218)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13525, 13521])).
% 5.00/3.77 tff(13527,assumption,(node4(s218)), introduced(assumption)).
% 5.00/3.77 tff(13528,plain,
% 5.00/3.77 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s218) | (~node4(s218)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s218) | (~node4(s218)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13529,plain,
% 5.00/3.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s218) | (~node4(s218)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13530,plain,
% 5.00/3.77 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s218) | (~node4(s218))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13529, 13528])).
% 5.00/3.77 tff(13531,plain,
% 5.00/3.77 (m_main_v_request(s218)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13530, 17, 13527])).
% 5.00/3.77 tff(13532,plain,
% 5.00/3.77 (always3(s218)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10375, 35, 13527])).
% 5.00/3.77 tff(13533,plain,
% 5.00/3.77 (always3(s219)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[5241, 13532])).
% 5.00/3.77 tff(13534,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s219)) | (~m_main_v_state(s219, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s219)) | (~m_main_v_state(s219, c_busy)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13535,plain,
% 5.00/3.77 (((~m_main_v_state(s219, c_busy)) | (~always3(s219))) <=> ((~always3(s219)) | (~m_main_v_state(s219, c_busy)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13536,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s219, c_busy)) | (~always3(s219)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s219)) | (~m_main_v_state(s219, c_busy))))),
% 5.00/3.77 inference(monotonicity,[status(thm)],[13535])).
% 5.00/3.77 tff(13537,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s219, c_busy)) | (~always3(s219)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s219)) | (~m_main_v_state(s219, c_busy)))),
% 5.00/3.77 inference(transitivity,[status(thm)],[13536, 13534])).
% 5.00/3.77 tff(13538,plain,
% 5.00/3.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s219, c_busy)) | (~always3(s219)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13539,plain,
% 5.00/3.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s219)) | (~m_main_v_state(s219, c_busy))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13538, 13537])).
% 5.00/3.77 tff(13540,plain,
% 5.00/3.77 (~m_main_v_state(s219, c_busy)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13539, 75, 13533])).
% 5.00/3.77 tff(13541,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s218, s219)) | node2(s218, s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s218, s219)) | node2(s218, s219))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13542,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s218, s219)) | node2(s218, s219))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13543,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s218, s219)) | node2(s218, s219)),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13542, 13541])).
% 5.00/3.77 tff(13544,plain,
% 5.00/3.77 (node2(s218, s219)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13543, 7, 5237])).
% 5.00/3.77 tff(13545,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13546,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13547,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s218, c_ready)) | (~node2(s218, s219)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13546, 13545])).
% 5.00/3.77 tff(13548,plain,
% 5.00/3.77 ((~m_main_v_state(s218, c_ready)) | m_main_v_state(s219, c_busy) | (~m_main_v_request(s218))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13547, 96, 13544])).
% 5.00/3.77 tff(13549,plain,
% 5.00/3.77 (~m_main_v_state(s218, c_ready)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13548, 13540, 13531])).
% 5.00/3.77 tff(13550,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s218)) | (~m_main_v_state(s218, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s218)) | (~m_main_v_state(s218, c_busy)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13551,plain,
% 5.00/3.77 (((~m_main_v_state(s218, c_busy)) | (~always3(s218))) <=> ((~always3(s218)) | (~m_main_v_state(s218, c_busy)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13552,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s218, c_busy)) | (~always3(s218)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s218)) | (~m_main_v_state(s218, c_busy))))),
% 5.00/3.77 inference(monotonicity,[status(thm)],[13551])).
% 5.00/3.77 tff(13553,plain,
% 5.00/3.77 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s218, c_busy)) | (~always3(s218)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s218)) | (~m_main_v_state(s218, c_busy)))),
% 5.00/3.77 inference(transitivity,[status(thm)],[13552, 13550])).
% 5.00/3.77 tff(13554,plain,
% 5.00/3.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s218, c_busy)) | (~always3(s218)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13555,plain,
% 5.00/3.77 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s218)) | (~m_main_v_state(s218, c_busy))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13554, 13553])).
% 5.00/3.77 tff(13556,plain,
% 5.00/3.77 (~m_main_v_state(s218, c_busy)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13555, 75, 13532])).
% 5.00/3.77 tff(13557,plain,
% 5.00/3.77 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13558,plain,
% 5.00/3.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13559,plain,
% 5.00/3.77 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s218, c_busy) | m_main_v_state(s218, c_ready)),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13558, 13557])).
% 5.00/3.77 tff(13560,plain,
% 5.00/3.77 ($false),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13559, 118, 13556, 13549])).
% 5.00/3.77 tff(13561,plain,(~node4(s218)), inference(lemma,lemma(discharge,[]))).
% 5.00/3.77 tff(13562,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s218) | xuntil2p8(s218) | (~until2p7(s218)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s218) | xuntil2p8(s218) | (~until2p7(s218)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13563,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s218) | xuntil2p8(s218) | (~until2p7(s218)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13564,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s218) | xuntil2p8(s218) | (~until2p7(s218))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13563, 13562])).
% 5.00/3.77 tff(13565,plain,
% 5.00/3.77 (xuntil2p8(s218) | (~until2p7(s218))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13564, 12469, 13561])).
% 5.00/3.77 tff(13566,plain,
% 5.00/3.77 (~until2p7(s218)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13565, 13526])).
% 5.00/3.77 tff(13567,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13568,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13569,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s217, s218)) | until2p7(s218) | (~xuntil2p8(s217))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13568, 13567])).
% 5.00/3.77 tff(13570,plain,
% 5.00/3.77 (until2p7(s218) | (~xuntil2p8(s217))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13569, 5245, 12484])).
% 5.00/3.77 tff(13571,plain,
% 5.00/3.77 (~xuntil2p8(s217)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13570, 13566])).
% 5.00/3.77 tff(13572,plain,
% 5.00/3.77 (~node4(s217)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10393, 35, 5254])).
% 5.00/3.77 tff(13573,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s217) | xuntil2p8(s217) | (~until2p7(s217)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s217) | xuntil2p8(s217) | (~until2p7(s217)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13574,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s217) | xuntil2p8(s217) | (~until2p7(s217)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13575,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s217) | xuntil2p8(s217) | (~until2p7(s217))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13574, 13573])).
% 5.00/3.77 tff(13576,plain,
% 5.00/3.77 (xuntil2p8(s217) | (~until2p7(s217))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13575, 12469, 13572])).
% 5.00/3.77 tff(13577,plain,
% 5.00/3.77 (~until2p7(s217)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13576, 13571])).
% 5.00/3.77 tff(13578,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13579,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13580,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s216, s217)) | until2p7(s217) | (~xuntil2p8(s216))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13579, 13578])).
% 5.00/3.77 tff(13581,plain,
% 5.00/3.77 (until2p7(s217) | (~xuntil2p8(s216))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13580, 5257, 12484])).
% 5.00/3.77 tff(13582,plain,
% 5.00/3.77 (~xuntil2p8(s216)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13581, 13577])).
% 5.00/3.77 tff(13583,plain,
% 5.00/3.77 (~node4(s216)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10411, 35, 5266])).
% 5.00/3.77 tff(13584,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s216) | xuntil2p8(s216) | (~until2p7(s216)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s216) | xuntil2p8(s216) | (~until2p7(s216)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13585,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s216) | xuntil2p8(s216) | (~until2p7(s216)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13586,plain,
% 5.00/3.77 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s216) | xuntil2p8(s216) | (~until2p7(s216))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13585, 13584])).
% 5.00/3.77 tff(13587,plain,
% 5.00/3.77 (xuntil2p8(s216) | (~until2p7(s216))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13586, 12469, 13583])).
% 5.00/3.77 tff(13588,plain,
% 5.00/3.77 (~until2p7(s216)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13587, 13582])).
% 5.00/3.77 tff(13589,plain,
% 5.00/3.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215)))),
% 5.00/3.77 inference(rewrite,[status(thm)],[])).
% 5.00/3.77 tff(13590,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215)))),
% 5.00/3.77 inference(quant_inst,[status(thm)],[])).
% 5.00/3.77 tff(13591,plain,
% 5.00/3.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s215, s216)) | until2p7(s216) | (~xuntil2p8(s215))),
% 5.00/3.77 inference(modus_ponens,[status(thm)],[13590, 13589])).
% 5.00/3.77 tff(13592,plain,
% 5.00/3.77 (until2p7(s216) | (~xuntil2p8(s215))),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13591, 5269, 12484])).
% 5.00/3.77 tff(13593,plain,
% 5.00/3.77 (~xuntil2p8(s215)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[13592, 13588])).
% 5.00/3.77 tff(13594,plain,
% 5.00/3.77 (~node4(s215)),
% 5.00/3.77 inference(unit_resolution,[status(thm)],[10429, 35, 5278])).
% 5.00/3.77 tff(13595,plain,
% 5.00/3.77 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s215) | xuntil2p8(s215) | (~until2p7(s215)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s215) | xuntil2p8(s215) | (~until2p7(s215)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13596,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s215) | xuntil2p8(s215) | (~until2p7(s215)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13597,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s215) | xuntil2p8(s215) | (~until2p7(s215))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13596, 13595])).
% 5.00/3.78 tff(13598,plain,
% 5.00/3.78 (xuntil2p8(s215) | (~until2p7(s215))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13597, 12469, 13594])).
% 5.00/3.78 tff(13599,plain,
% 5.00/3.78 (~until2p7(s215)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13598, 13593])).
% 5.00/3.78 tff(13600,plain,
% 5.00/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13601,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13602,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s214, s215)) | until2p7(s215) | (~xuntil2p8(s214))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13601, 13600])).
% 5.00/3.78 tff(13603,plain,
% 5.00/3.78 (until2p7(s215) | (~xuntil2p8(s214))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13602, 5281, 12484])).
% 5.00/3.78 tff(13604,plain,
% 5.00/3.78 (~xuntil2p8(s214)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13603, 13599])).
% 5.00/3.78 tff(13605,plain,
% 5.00/3.78 (~node4(s214)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[10447, 35, 5290])).
% 5.00/3.78 tff(13606,plain,
% 5.00/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s214) | xuntil2p8(s214) | (~until2p7(s214)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s214) | xuntil2p8(s214) | (~until2p7(s214)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13607,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s214) | xuntil2p8(s214) | (~until2p7(s214)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13608,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s214) | xuntil2p8(s214) | (~until2p7(s214))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13607, 13606])).
% 5.00/3.78 tff(13609,plain,
% 5.00/3.78 (xuntil2p8(s214) | (~until2p7(s214))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13608, 12469, 13605])).
% 5.00/3.78 tff(13610,plain,
% 5.00/3.78 (~until2p7(s214)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13609, 13604])).
% 5.00/3.78 tff(13611,plain,
% 5.00/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13612,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13613,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s213, s214)) | until2p7(s214) | (~xuntil2p8(s213))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13612, 13611])).
% 5.00/3.78 tff(13614,plain,
% 5.00/3.78 (until2p7(s214) | (~xuntil2p8(s213))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13613, 5293, 12484])).
% 5.00/3.78 tff(13615,plain,
% 5.00/3.78 (~xuntil2p8(s213)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13614, 13610])).
% 5.00/3.78 tff(13616,plain,
% 5.00/3.78 (~node4(s213)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[10465, 35, 5302])).
% 5.00/3.78 tff(13617,plain,
% 5.00/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s213) | xuntil2p8(s213) | (~until2p7(s213)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s213) | xuntil2p8(s213) | (~until2p7(s213)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13618,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s213) | xuntil2p8(s213) | (~until2p7(s213)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13619,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s213) | xuntil2p8(s213) | (~until2p7(s213))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13618, 13617])).
% 5.00/3.78 tff(13620,plain,
% 5.00/3.78 (xuntil2p8(s213) | (~until2p7(s213))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13619, 12469, 13616])).
% 5.00/3.78 tff(13621,plain,
% 5.00/3.78 (~until2p7(s213)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13620, 13615])).
% 5.00/3.78 tff(13622,plain,
% 5.00/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13623,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13624,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s212, s213)) | until2p7(s213) | (~xuntil2p8(s212))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 5.00/3.78 tff(13625,plain,
% 5.00/3.78 (until2p7(s213) | (~xuntil2p8(s212))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13624, 5305, 12484])).
% 5.00/3.78 tff(13626,plain,
% 5.00/3.78 (~xuntil2p8(s212)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13625, 13621])).
% 5.00/3.78 tff(13627,plain,
% 5.00/3.78 (~node4(s212)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[10483, 35, 5314])).
% 5.00/3.78 tff(13628,plain,
% 5.00/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s212) | xuntil2p8(s212) | (~until2p7(s212)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s212) | xuntil2p8(s212) | (~until2p7(s212)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13629,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s212) | xuntil2p8(s212) | (~until2p7(s212)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13630,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s212) | xuntil2p8(s212) | (~until2p7(s212))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13629, 13628])).
% 5.00/3.78 tff(13631,plain,
% 5.00/3.78 (xuntil2p8(s212) | (~until2p7(s212))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13630, 12469, 13627])).
% 5.00/3.78 tff(13632,plain,
% 5.00/3.78 (~until2p7(s212)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13631, 13626])).
% 5.00/3.78 tff(13633,plain,
% 5.00/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13634,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13635,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s211, s212)) | until2p7(s212) | (~xuntil2p8(s211))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13634, 13633])).
% 5.00/3.78 tff(13636,plain,
% 5.00/3.78 (until2p7(s212) | (~xuntil2p8(s211))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13635, 5317, 12484])).
% 5.00/3.78 tff(13637,plain,
% 5.00/3.78 (~xuntil2p8(s211)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13636, 13632])).
% 5.00/3.78 tff(13638,plain,
% 5.00/3.78 (~node4(s211)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[10663, 35, 5326])).
% 5.00/3.78 tff(13639,plain,
% 5.00/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s211) | xuntil2p8(s211) | (~until2p7(s211)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s211) | xuntil2p8(s211) | (~until2p7(s211)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13640,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s211) | xuntil2p8(s211) | (~until2p7(s211)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13641,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s211) | xuntil2p8(s211) | (~until2p7(s211))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13640, 13639])).
% 5.00/3.78 tff(13642,plain,
% 5.00/3.78 (xuntil2p8(s211) | (~until2p7(s211))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13641, 12469, 13638])).
% 5.00/3.78 tff(13643,plain,
% 5.00/3.78 (~until2p7(s211)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13642, 13637])).
% 5.00/3.78 tff(13644,plain,
% 5.00/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13645,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13646,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s210, s211)) | until2p7(s211) | (~xuntil2p8(s210))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13645, 13644])).
% 5.00/3.78 tff(13647,plain,
% 5.00/3.78 (until2p7(s211) | (~xuntil2p8(s210))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13646, 5329, 12484])).
% 5.00/3.78 tff(13648,plain,
% 5.00/3.78 (~xuntil2p8(s210)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13647, 13643])).
% 5.00/3.78 tff(13649,plain,
% 5.00/3.78 (~node4(s210)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[10646, 35, 5338])).
% 5.00/3.78 tff(13650,plain,
% 5.00/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s210) | xuntil2p8(s210) | (~until2p7(s210)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s210) | xuntil2p8(s210) | (~until2p7(s210)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13651,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s210) | xuntil2p8(s210) | (~until2p7(s210)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13652,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s210) | xuntil2p8(s210) | (~until2p7(s210))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13651, 13650])).
% 5.00/3.78 tff(13653,plain,
% 5.00/3.78 (xuntil2p8(s210) | (~until2p7(s210))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13652, 12469, 13649])).
% 5.00/3.78 tff(13654,plain,
% 5.00/3.78 (~until2p7(s210)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13653, 13648])).
% 5.00/3.78 tff(13655,plain,
% 5.00/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13656,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13657,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s209, s210)) | until2p7(s210) | (~xuntil2p8(s209))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13656, 13655])).
% 5.00/3.78 tff(13658,plain,
% 5.00/3.78 (until2p7(s210) | (~xuntil2p8(s209))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13657, 5341, 12484])).
% 5.00/3.78 tff(13659,plain,
% 5.00/3.78 (~xuntil2p8(s209)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13658, 13654])).
% 5.00/3.78 tff(13660,plain,
% 5.00/3.78 (~node4(s209)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[10629, 35, 5350])).
% 5.00/3.78 tff(13661,plain,
% 5.00/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s209) | xuntil2p8(s209) | (~until2p7(s209)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s209) | xuntil2p8(s209) | (~until2p7(s209)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13662,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s209) | xuntil2p8(s209) | (~until2p7(s209)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13663,plain,
% 5.00/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s209) | xuntil2p8(s209) | (~until2p7(s209))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 5.00/3.78 tff(13664,plain,
% 5.00/3.78 (xuntil2p8(s209) | (~until2p7(s209))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13663, 12469, 13660])).
% 5.00/3.78 tff(13665,plain,
% 5.00/3.78 (~until2p7(s209)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13664, 13659])).
% 5.00/3.78 tff(13666,plain,
% 5.00/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13667,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13668,plain,
% 5.00/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s208, s209)) | until2p7(s209) | (~xuntil2p8(s208))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13667, 13666])).
% 5.00/3.78 tff(13669,plain,
% 5.00/3.78 (until2p7(s209) | (~xuntil2p8(s208))),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13668, 5353, 12484])).
% 5.00/3.78 tff(13670,plain,
% 5.00/3.78 (~xuntil2p8(s208)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13669, 13665])).
% 5.00/3.78 tff(13671,assumption,(node4(s208)), introduced(assumption)).
% 5.00/3.78 tff(13672,plain,
% 5.00/3.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s208) | (~node4(s208)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s208) | (~node4(s208)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13673,plain,
% 5.00/3.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s208) | (~node4(s208)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13674,plain,
% 5.00/3.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s208) | (~node4(s208))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13673, 13672])).
% 5.00/3.78 tff(13675,plain,
% 5.00/3.78 (m_main_v_request(s208)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13674, 17, 13671])).
% 5.00/3.78 tff(13676,plain,
% 5.00/3.78 (always3(s208)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[10612, 35, 13671])).
% 5.00/3.78 tff(13677,plain,
% 5.00/3.78 (always3(s209)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[5361, 13676])).
% 5.00/3.78 tff(13678,plain,
% 5.00/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s209)) | (~m_main_v_state(s209, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s209)) | (~m_main_v_state(s209, c_busy)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13679,plain,
% 5.00/3.78 (((~m_main_v_state(s209, c_busy)) | (~always3(s209))) <=> ((~always3(s209)) | (~m_main_v_state(s209, c_busy)))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.00/3.78 tff(13680,plain,
% 5.00/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s209, c_busy)) | (~always3(s209)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s209)) | (~m_main_v_state(s209, c_busy))))),
% 5.00/3.78 inference(monotonicity,[status(thm)],[13679])).
% 5.00/3.78 tff(13681,plain,
% 5.00/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s209, c_busy)) | (~always3(s209)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s209)) | (~m_main_v_state(s209, c_busy)))),
% 5.00/3.78 inference(transitivity,[status(thm)],[13680, 13678])).
% 5.00/3.78 tff(13682,plain,
% 5.00/3.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s209, c_busy)) | (~always3(s209)))),
% 5.00/3.78 inference(quant_inst,[status(thm)],[])).
% 5.00/3.78 tff(13683,plain,
% 5.00/3.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s209)) | (~m_main_v_state(s209, c_busy))),
% 5.00/3.78 inference(modus_ponens,[status(thm)],[13682, 13681])).
% 5.00/3.78 tff(13684,plain,
% 5.00/3.78 (~m_main_v_state(s209, c_busy)),
% 5.00/3.78 inference(unit_resolution,[status(thm)],[13683, 75, 13677])).
% 5.00/3.78 tff(13685,plain,
% 5.00/3.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s208, s209)) | node2(s208, s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s208, s209)) | node2(s208, s209))),
% 5.00/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13686,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s208, s209)) | node2(s208, s209))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13687,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s208, s209)) | node2(s208, s209)),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13686, 13685])).
% 5.02/3.78 tff(13688,plain,
% 5.02/3.78 (node2(s208, s209)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13687, 7, 5357])).
% 5.02/3.78 tff(13689,plain,
% 5.02/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13690,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13691,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s208, c_ready)) | (~node2(s208, s209)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13690, 13689])).
% 5.02/3.78 tff(13692,plain,
% 5.02/3.78 ((~m_main_v_state(s208, c_ready)) | m_main_v_state(s209, c_busy) | (~m_main_v_request(s208))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13691, 96, 13688])).
% 5.02/3.78 tff(13693,plain,
% 5.02/3.78 (~m_main_v_state(s208, c_ready)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13692, 13684, 13675])).
% 5.02/3.78 tff(13694,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s208)) | (~m_main_v_state(s208, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s208)) | (~m_main_v_state(s208, c_busy)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13695,plain,
% 5.02/3.78 (((~m_main_v_state(s208, c_busy)) | (~always3(s208))) <=> ((~always3(s208)) | (~m_main_v_state(s208, c_busy)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13696,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s208, c_busy)) | (~always3(s208)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s208)) | (~m_main_v_state(s208, c_busy))))),
% 5.02/3.78 inference(monotonicity,[status(thm)],[13695])).
% 5.02/3.78 tff(13697,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s208, c_busy)) | (~always3(s208)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s208)) | (~m_main_v_state(s208, c_busy)))),
% 5.02/3.78 inference(transitivity,[status(thm)],[13696, 13694])).
% 5.02/3.78 tff(13698,plain,
% 5.02/3.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s208, c_busy)) | (~always3(s208)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13699,plain,
% 5.02/3.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s208)) | (~m_main_v_state(s208, c_busy))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 5.02/3.78 tff(13700,plain,
% 5.02/3.78 (~m_main_v_state(s208, c_busy)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13699, 75, 13676])).
% 5.02/3.78 tff(13701,plain,
% 5.02/3.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13702,plain,
% 5.02/3.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13703,plain,
% 5.02/3.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s208, c_busy) | m_main_v_state(s208, c_ready)),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 5.02/3.78 tff(13704,plain,
% 5.02/3.78 ($false),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13703, 118, 13700, 13693])).
% 5.02/3.78 tff(13705,plain,(~node4(s208)), inference(lemma,lemma(discharge,[]))).
% 5.02/3.78 tff(13706,plain,
% 5.02/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s208) | xuntil2p8(s208) | (~until2p7(s208)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s208) | xuntil2p8(s208) | (~until2p7(s208)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13707,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s208) | xuntil2p8(s208) | (~until2p7(s208)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13708,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s208) | xuntil2p8(s208) | (~until2p7(s208))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13707, 13706])).
% 5.02/3.78 tff(13709,plain,
% 5.02/3.78 (xuntil2p8(s208) | (~until2p7(s208))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13708, 12469, 13705])).
% 5.02/3.78 tff(13710,plain,
% 5.02/3.78 (~until2p7(s208)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13709, 13670])).
% 5.02/3.78 tff(13711,plain,
% 5.02/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13712,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13713,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s207, s208)) | until2p7(s208) | (~xuntil2p8(s207))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13712, 13711])).
% 5.02/3.78 tff(13714,plain,
% 5.02/3.78 (until2p7(s208) | (~xuntil2p8(s207))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13713, 5365, 12484])).
% 5.02/3.78 tff(13715,plain,
% 5.02/3.78 (~xuntil2p8(s207)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13714, 13710])).
% 5.02/3.78 tff(13716,plain,
% 5.02/3.78 (~node4(s207)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[10595, 35, 5374])).
% 5.02/3.78 tff(13717,plain,
% 5.02/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s207) | xuntil2p8(s207) | (~until2p7(s207)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s207) | xuntil2p8(s207) | (~until2p7(s207)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13718,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s207) | xuntil2p8(s207) | (~until2p7(s207)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13719,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s207) | xuntil2p8(s207) | (~until2p7(s207))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13718, 13717])).
% 5.02/3.78 tff(13720,plain,
% 5.02/3.78 (xuntil2p8(s207) | (~until2p7(s207))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13719, 12469, 13716])).
% 5.02/3.78 tff(13721,plain,
% 5.02/3.78 (~until2p7(s207)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13720, 13715])).
% 5.02/3.78 tff(13722,plain,
% 5.02/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13723,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13724,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s206, s207)) | until2p7(s207) | (~xuntil2p8(s206))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 5.02/3.78 tff(13725,plain,
% 5.02/3.78 (until2p7(s207) | (~xuntil2p8(s206))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13724, 5377, 12484])).
% 5.02/3.78 tff(13726,plain,
% 5.02/3.78 (~xuntil2p8(s206)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13725, 13721])).
% 5.02/3.78 tff(13727,plain,
% 5.02/3.78 (~node4(s206)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[10578, 35, 5386])).
% 5.02/3.78 tff(13728,plain,
% 5.02/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s206) | xuntil2p8(s206) | (~until2p7(s206)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s206) | xuntil2p8(s206) | (~until2p7(s206)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13729,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s206) | xuntil2p8(s206) | (~until2p7(s206)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13730,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s206) | xuntil2p8(s206) | (~until2p7(s206))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13729, 13728])).
% 5.02/3.78 tff(13731,plain,
% 5.02/3.78 (xuntil2p8(s206) | (~until2p7(s206))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13730, 12469, 13727])).
% 5.02/3.78 tff(13732,plain,
% 5.02/3.78 (~until2p7(s206)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13731, 13726])).
% 5.02/3.78 tff(13733,plain,
% 5.02/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13734,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13735,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s205, s206)) | until2p7(s206) | (~xuntil2p8(s205))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13734, 13733])).
% 5.02/3.78 tff(13736,plain,
% 5.02/3.78 (until2p7(s206) | (~xuntil2p8(s205))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13735, 5389, 12484])).
% 5.02/3.78 tff(13737,plain,
% 5.02/3.78 (~xuntil2p8(s205)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13736, 13732])).
% 5.02/3.78 tff(13738,assumption,(node4(s205)), introduced(assumption)).
% 5.02/3.78 tff(13739,plain,
% 5.02/3.78 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s205) | (~node4(s205)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s205) | (~node4(s205)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13740,plain,
% 5.02/3.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s205) | (~node4(s205)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13741,plain,
% 5.02/3.78 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s205) | (~node4(s205))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13740, 13739])).
% 5.02/3.78 tff(13742,plain,
% 5.02/3.78 (m_main_v_request(s205)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13741, 17, 13738])).
% 5.02/3.78 tff(13743,plain,
% 5.02/3.78 (always3(s205)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[10561, 35, 13738])).
% 5.02/3.78 tff(13744,plain,
% 5.02/3.78 (always3(s206)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[5397, 13743])).
% 5.02/3.78 tff(13745,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s206)) | (~m_main_v_state(s206, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s206)) | (~m_main_v_state(s206, c_busy)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13746,plain,
% 5.02/3.78 (((~m_main_v_state(s206, c_busy)) | (~always3(s206))) <=> ((~always3(s206)) | (~m_main_v_state(s206, c_busy)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13747,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s206, c_busy)) | (~always3(s206)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s206)) | (~m_main_v_state(s206, c_busy))))),
% 5.02/3.78 inference(monotonicity,[status(thm)],[13746])).
% 5.02/3.78 tff(13748,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s206, c_busy)) | (~always3(s206)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s206)) | (~m_main_v_state(s206, c_busy)))),
% 5.02/3.78 inference(transitivity,[status(thm)],[13747, 13745])).
% 5.02/3.78 tff(13749,plain,
% 5.02/3.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s206, c_busy)) | (~always3(s206)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13750,plain,
% 5.02/3.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s206)) | (~m_main_v_state(s206, c_busy))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13749, 13748])).
% 5.02/3.78 tff(13751,plain,
% 5.02/3.78 (~m_main_v_state(s206, c_busy)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13750, 75, 13744])).
% 5.02/3.78 tff(13752,plain,
% 5.02/3.78 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s205, s206)) | node2(s205, s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s205, s206)) | node2(s205, s206))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13753,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s205, s206)) | node2(s205, s206))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13754,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s205, s206)) | node2(s205, s206)),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13753, 13752])).
% 5.02/3.78 tff(13755,plain,
% 5.02/3.78 (node2(s205, s206)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13754, 7, 5393])).
% 5.02/3.78 tff(13756,plain,
% 5.02/3.78 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13757,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13758,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s205, c_ready)) | (~node2(s205, s206)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13757, 13756])).
% 5.02/3.78 tff(13759,plain,
% 5.02/3.78 ((~m_main_v_state(s205, c_ready)) | m_main_v_state(s206, c_busy) | (~m_main_v_request(s205))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13758, 96, 13755])).
% 5.02/3.78 tff(13760,plain,
% 5.02/3.78 (~m_main_v_state(s205, c_ready)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13759, 13751, 13742])).
% 5.02/3.78 tff(13761,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s205)) | (~m_main_v_state(s205, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s205)) | (~m_main_v_state(s205, c_busy)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13762,plain,
% 5.02/3.78 (((~m_main_v_state(s205, c_busy)) | (~always3(s205))) <=> ((~always3(s205)) | (~m_main_v_state(s205, c_busy)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13763,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s205, c_busy)) | (~always3(s205)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s205)) | (~m_main_v_state(s205, c_busy))))),
% 5.02/3.78 inference(monotonicity,[status(thm)],[13762])).
% 5.02/3.78 tff(13764,plain,
% 5.02/3.78 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s205, c_busy)) | (~always3(s205)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s205)) | (~m_main_v_state(s205, c_busy)))),
% 5.02/3.78 inference(transitivity,[status(thm)],[13763, 13761])).
% 5.02/3.78 tff(13765,plain,
% 5.02/3.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s205, c_busy)) | (~always3(s205)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13766,plain,
% 5.02/3.78 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s205)) | (~m_main_v_state(s205, c_busy))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 5.02/3.78 tff(13767,plain,
% 5.02/3.78 (~m_main_v_state(s205, c_busy)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13766, 75, 13743])).
% 5.02/3.78 tff(13768,plain,
% 5.02/3.78 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13769,plain,
% 5.02/3.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13770,plain,
% 5.02/3.78 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s205, c_busy) | m_main_v_state(s205, c_ready)),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 5.02/3.78 tff(13771,plain,
% 5.02/3.78 ($false),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13770, 118, 13767, 13760])).
% 5.02/3.78 tff(13772,plain,(~node4(s205)), inference(lemma,lemma(discharge,[]))).
% 5.02/3.78 tff(13773,plain,
% 5.02/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s205) | xuntil2p8(s205) | (~until2p7(s205)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s205) | xuntil2p8(s205) | (~until2p7(s205)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13774,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s205) | xuntil2p8(s205) | (~until2p7(s205)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13775,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s205) | xuntil2p8(s205) | (~until2p7(s205))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13774, 13773])).
% 5.02/3.78 tff(13776,plain,
% 5.02/3.78 (xuntil2p8(s205) | (~until2p7(s205))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13775, 12469, 13772])).
% 5.02/3.78 tff(13777,plain,
% 5.02/3.78 (~until2p7(s205)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13776, 13737])).
% 5.02/3.78 tff(13778,plain,
% 5.02/3.78 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13779,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13780,plain,
% 5.02/3.78 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s204, s205)) | until2p7(s205) | (~xuntil2p8(s204))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13779, 13778])).
% 5.02/3.78 tff(13781,plain,
% 5.02/3.78 (until2p7(s205) | (~xuntil2p8(s204))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13780, 5401, 12484])).
% 5.02/3.78 tff(13782,plain,
% 5.02/3.78 (~xuntil2p8(s204)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13781, 13777])).
% 5.02/3.78 tff(13783,plain,
% 5.02/3.78 (~node4(s204)),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[10544, 35, 5410])).
% 5.02/3.78 tff(13784,plain,
% 5.02/3.78 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s204) | xuntil2p8(s204) | (~until2p7(s204)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s204) | xuntil2p8(s204) | (~until2p7(s204)))),
% 5.02/3.78 inference(rewrite,[status(thm)],[])).
% 5.02/3.78 tff(13785,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s204) | xuntil2p8(s204) | (~until2p7(s204)))),
% 5.02/3.78 inference(quant_inst,[status(thm)],[])).
% 5.02/3.78 tff(13786,plain,
% 5.02/3.78 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s204) | xuntil2p8(s204) | (~until2p7(s204))),
% 5.02/3.78 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 5.02/3.78 tff(13787,plain,
% 5.02/3.78 (xuntil2p8(s204) | (~until2p7(s204))),
% 5.02/3.78 inference(unit_resolution,[status(thm)],[13786, 12469, 13783])).
% 5.02/3.78 tff(13788,plain,
% 5.02/3.79 (~until2p7(s204)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13787, 13782])).
% 5.02/3.79 tff(13789,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13790,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13791,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s203, s204)) | until2p7(s204) | (~xuntil2p8(s203))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13790, 13789])).
% 5.02/3.79 tff(13792,plain,
% 5.02/3.79 (until2p7(s204) | (~xuntil2p8(s203))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13791, 5413, 12484])).
% 5.02/3.79 tff(13793,plain,
% 5.02/3.79 (~xuntil2p8(s203)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13792, 13788])).
% 5.02/3.79 tff(13794,plain,
% 5.02/3.79 (~node4(s203)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10509, 35, 5422])).
% 5.02/3.79 tff(13795,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s203) | xuntil2p8(s203) | (~until2p7(s203)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s203) | xuntil2p8(s203) | (~until2p7(s203)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13796,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s203) | xuntil2p8(s203) | (~until2p7(s203)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13797,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s203) | xuntil2p8(s203) | (~until2p7(s203))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13796, 13795])).
% 5.02/3.79 tff(13798,plain,
% 5.02/3.79 (xuntil2p8(s203) | (~until2p7(s203))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13797, 12469, 13794])).
% 5.02/3.79 tff(13799,plain,
% 5.02/3.79 (~until2p7(s203)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13798, 13793])).
% 5.02/3.79 tff(13800,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13801,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13802,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s202, s203)) | until2p7(s203) | (~xuntil2p8(s202))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13801, 13800])).
% 5.02/3.79 tff(13803,plain,
% 5.02/3.79 (until2p7(s203) | (~xuntil2p8(s202))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13802, 5425, 12484])).
% 5.02/3.79 tff(13804,plain,
% 5.02/3.79 (~xuntil2p8(s202)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13803, 13799])).
% 5.02/3.79 tff(13805,plain,
% 5.02/3.79 (~node4(s202)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10514, 35, 5434])).
% 5.02/3.79 tff(13806,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s202) | xuntil2p8(s202) | (~until2p7(s202)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s202) | xuntil2p8(s202) | (~until2p7(s202)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13807,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s202) | xuntil2p8(s202) | (~until2p7(s202)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13808,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s202) | xuntil2p8(s202) | (~until2p7(s202))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13807, 13806])).
% 5.02/3.79 tff(13809,plain,
% 5.02/3.79 (xuntil2p8(s202) | (~until2p7(s202))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13808, 12469, 13805])).
% 5.02/3.79 tff(13810,plain,
% 5.02/3.79 (~until2p7(s202)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13809, 13804])).
% 5.02/3.79 tff(13811,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13812,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13813,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s201, s202)) | until2p7(s202) | (~xuntil2p8(s201))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13812, 13811])).
% 5.02/3.79 tff(13814,plain,
% 5.02/3.79 (until2p7(s202) | (~xuntil2p8(s201))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13813, 5437, 12484])).
% 5.02/3.79 tff(13815,plain,
% 5.02/3.79 (~xuntil2p8(s201)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13814, 13810])).
% 5.02/3.79 tff(13816,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s201) | xuntil2p8(s201) | (~until2p7(s201)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s201) | xuntil2p8(s201) | (~until2p7(s201)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13817,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s201) | xuntil2p8(s201) | (~until2p7(s201)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13818,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s201) | xuntil2p8(s201) | (~until2p7(s201))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 5.02/3.79 tff(13819,plain,
% 5.02/3.79 (xuntil2p8(s201) | (~until2p7(s201))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13818, 12469, 10322])).
% 5.02/3.79 tff(13820,plain,
% 5.02/3.79 (~until2p7(s201)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13819, 13815])).
% 5.02/3.79 tff(13821,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13822,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13823,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s200, s201)) | until2p7(s201) | (~xuntil2p8(s200))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13822, 13821])).
% 5.02/3.79 tff(13824,plain,
% 5.02/3.79 (until2p7(s201) | (~xuntil2p8(s200))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13823, 5449, 12484])).
% 5.02/3.79 tff(13825,plain,
% 5.02/3.79 (~xuntil2p8(s200)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13824, 13820])).
% 5.02/3.79 tff(13826,plain,
% 5.02/3.79 (~node4(s200)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10037, 35, 5458])).
% 5.02/3.79 tff(13827,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s200) | xuntil2p8(s200) | (~until2p7(s200)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s200) | xuntil2p8(s200) | (~until2p7(s200)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13828,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s200) | xuntil2p8(s200) | (~until2p7(s200)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13829,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s200) | xuntil2p8(s200) | (~until2p7(s200))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13828, 13827])).
% 5.02/3.79 tff(13830,plain,
% 5.02/3.79 (xuntil2p8(s200) | (~until2p7(s200))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13829, 12469, 13826])).
% 5.02/3.79 tff(13831,plain,
% 5.02/3.79 (~until2p7(s200)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13830, 13825])).
% 5.02/3.79 tff(13832,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13833,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13834,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s199, s200)) | until2p7(s200) | (~xuntil2p8(s199))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13833, 13832])).
% 5.02/3.79 tff(13835,plain,
% 5.02/3.79 (until2p7(s200) | (~xuntil2p8(s199))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13834, 5461, 12484])).
% 5.02/3.79 tff(13836,plain,
% 5.02/3.79 (~xuntil2p8(s199)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13835, 13831])).
% 5.02/3.79 tff(13837,plain,
% 5.02/3.79 (~node4(s199)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10033, 35, 5470])).
% 5.02/3.79 tff(13838,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13839,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s199) | xuntil2p8(s199) | (~until2p7(s199)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13840,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s199) | xuntil2p8(s199) | (~until2p7(s199))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13839, 13838])).
% 5.02/3.79 tff(13841,plain,
% 5.02/3.79 (xuntil2p8(s199) | (~until2p7(s199))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13840, 12469, 13837])).
% 5.02/3.79 tff(13842,plain,
% 5.02/3.79 (~until2p7(s199)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13841, 13836])).
% 5.02/3.79 tff(13843,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13844,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13845,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s198, s199)) | until2p7(s199) | (~xuntil2p8(s198))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 5.02/3.79 tff(13846,plain,
% 5.02/3.79 (until2p7(s199) | (~xuntil2p8(s198))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13845, 5473, 12484])).
% 5.02/3.79 tff(13847,plain,
% 5.02/3.79 (~xuntil2p8(s198)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13846, 13842])).
% 5.02/3.79 tff(13848,assumption,(node4(s198)), introduced(assumption)).
% 5.02/3.79 tff(13849,plain,
% 5.02/3.79 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s198) | (~node4(s198)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s198) | (~node4(s198)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13850,plain,
% 5.02/3.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s198) | (~node4(s198)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13851,plain,
% 5.02/3.79 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s198) | (~node4(s198))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13850, 13849])).
% 5.02/3.79 tff(13852,plain,
% 5.02/3.79 (m_main_v_request(s198)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13851, 17, 13848])).
% 5.02/3.79 tff(13853,plain,
% 5.02/3.79 (always3(s198)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10068, 35, 13848])).
% 5.02/3.79 tff(13854,plain,
% 5.02/3.79 (always3(s199)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[5481, 13853])).
% 5.02/3.79 tff(13855,plain,
% 5.02/3.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s199)) | (~m_main_v_state(s199, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13856,plain,
% 5.02/3.79 (((~m_main_v_state(s199, c_busy)) | (~always3(s199))) <=> ((~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13857,plain,
% 5.02/3.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s199)) | (~m_main_v_state(s199, c_busy))))),
% 5.02/3.79 inference(monotonicity,[status(thm)],[13856])).
% 5.02/3.79 tff(13858,plain,
% 5.02/3.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy)))),
% 5.02/3.79 inference(transitivity,[status(thm)],[13857, 13855])).
% 5.02/3.79 tff(13859,plain,
% 5.02/3.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s199, c_busy)) | (~always3(s199)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13860,plain,
% 5.02/3.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s199)) | (~m_main_v_state(s199, c_busy))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13859, 13858])).
% 5.02/3.79 tff(13861,plain,
% 5.02/3.79 (~m_main_v_state(s199, c_busy)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13860, 75, 13854])).
% 5.02/3.79 tff(13862,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s198, s199)) | node2(s198, s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s198, s199)) | node2(s198, s199))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13863,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s198, s199)) | node2(s198, s199))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13864,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s198, s199)) | node2(s198, s199)),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13863, 13862])).
% 5.02/3.79 tff(13865,plain,
% 5.02/3.79 (node2(s198, s199)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13864, 7, 5477])).
% 5.02/3.79 tff(13866,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13867,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13868,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s198, c_ready)) | (~node2(s198, s199)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13867, 13866])).
% 5.02/3.79 tff(13869,plain,
% 5.02/3.79 ((~m_main_v_state(s198, c_ready)) | m_main_v_state(s199, c_busy) | (~m_main_v_request(s198))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13868, 96, 13865])).
% 5.02/3.79 tff(13870,plain,
% 5.02/3.79 (~m_main_v_state(s198, c_ready)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13869, 13861, 13852])).
% 5.02/3.79 tff(13871,plain,
% 5.02/3.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s198)) | (~m_main_v_state(s198, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13872,plain,
% 5.02/3.79 (((~m_main_v_state(s198, c_busy)) | (~always3(s198))) <=> ((~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13873,plain,
% 5.02/3.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s198)) | (~m_main_v_state(s198, c_busy))))),
% 5.02/3.79 inference(monotonicity,[status(thm)],[13872])).
% 5.02/3.79 tff(13874,plain,
% 5.02/3.79 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy)))),
% 5.02/3.79 inference(transitivity,[status(thm)],[13873, 13871])).
% 5.02/3.79 tff(13875,plain,
% 5.02/3.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s198, c_busy)) | (~always3(s198)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13876,plain,
% 5.02/3.79 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s198)) | (~m_main_v_state(s198, c_busy))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13875, 13874])).
% 5.02/3.79 tff(13877,plain,
% 5.02/3.79 (~m_main_v_state(s198, c_busy)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13876, 75, 13853])).
% 5.02/3.79 tff(13878,plain,
% 5.02/3.79 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13879,plain,
% 5.02/3.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13880,plain,
% 5.02/3.79 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s198, c_busy) | m_main_v_state(s198, c_ready)),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13879, 13878])).
% 5.02/3.79 tff(13881,plain,
% 5.02/3.79 ($false),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13880, 118, 13877, 13870])).
% 5.02/3.79 tff(13882,plain,(~node4(s198)), inference(lemma,lemma(discharge,[]))).
% 5.02/3.79 tff(13883,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13884,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s198) | xuntil2p8(s198) | (~until2p7(s198)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13885,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s198) | xuntil2p8(s198) | (~until2p7(s198))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13884, 13883])).
% 5.02/3.79 tff(13886,plain,
% 5.02/3.79 (xuntil2p8(s198) | (~until2p7(s198))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13885, 12469, 13882])).
% 5.02/3.79 tff(13887,plain,
% 5.02/3.79 (~until2p7(s198)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13886, 13847])).
% 5.02/3.79 tff(13888,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13889,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13890,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s197, s198)) | until2p7(s198) | (~xuntil2p8(s197))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13889, 13888])).
% 5.02/3.79 tff(13891,plain,
% 5.02/3.79 (until2p7(s198) | (~xuntil2p8(s197))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13890, 5485, 12484])).
% 5.02/3.79 tff(13892,plain,
% 5.02/3.79 (~xuntil2p8(s197)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13891, 13887])).
% 5.02/3.79 tff(13893,plain,
% 5.02/3.79 (~node4(s197)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10086, 35, 5494])).
% 5.02/3.79 tff(13894,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13895,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s197) | xuntil2p8(s197) | (~until2p7(s197)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13896,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s197) | xuntil2p8(s197) | (~until2p7(s197))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13895, 13894])).
% 5.02/3.79 tff(13897,plain,
% 5.02/3.79 (xuntil2p8(s197) | (~until2p7(s197))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13896, 12469, 13893])).
% 5.02/3.79 tff(13898,plain,
% 5.02/3.79 (~until2p7(s197)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13897, 13892])).
% 5.02/3.79 tff(13899,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13900,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13901,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s196, s197)) | until2p7(s197) | (~xuntil2p8(s196))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13900, 13899])).
% 5.02/3.79 tff(13902,plain,
% 5.02/3.79 (until2p7(s197) | (~xuntil2p8(s196))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13901, 5497, 12484])).
% 5.02/3.79 tff(13903,plain,
% 5.02/3.79 (~xuntil2p8(s196)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13902, 13898])).
% 5.02/3.79 tff(13904,plain,
% 5.02/3.79 (~node4(s196)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10104, 35, 5506])).
% 5.02/3.79 tff(13905,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13906,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s196) | xuntil2p8(s196) | (~until2p7(s196)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13907,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s196) | xuntil2p8(s196) | (~until2p7(s196))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13906, 13905])).
% 5.02/3.79 tff(13908,plain,
% 5.02/3.79 (xuntil2p8(s196) | (~until2p7(s196))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13907, 12469, 13904])).
% 5.02/3.79 tff(13909,plain,
% 5.02/3.79 (~until2p7(s196)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13908, 13903])).
% 5.02/3.79 tff(13910,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13911,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13912,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s195, s196)) | until2p7(s196) | (~xuntil2p8(s195))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 5.02/3.79 tff(13913,plain,
% 5.02/3.79 (until2p7(s196) | (~xuntil2p8(s195))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13912, 5509, 12484])).
% 5.02/3.79 tff(13914,plain,
% 5.02/3.79 (~xuntil2p8(s195)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13913, 13909])).
% 5.02/3.79 tff(13915,plain,
% 5.02/3.79 (~node4(s195)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10122, 35, 5518])).
% 5.02/3.79 tff(13916,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13917,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s195) | xuntil2p8(s195) | (~until2p7(s195)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13918,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s195) | xuntil2p8(s195) | (~until2p7(s195))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13917, 13916])).
% 5.02/3.79 tff(13919,plain,
% 5.02/3.79 (xuntil2p8(s195) | (~until2p7(s195))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13918, 12469, 13915])).
% 5.02/3.79 tff(13920,plain,
% 5.02/3.79 (~until2p7(s195)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13919, 13914])).
% 5.02/3.79 tff(13921,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13922,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13923,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s194, s195)) | until2p7(s195) | (~xuntil2p8(s194))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13922, 13921])).
% 5.02/3.79 tff(13924,plain,
% 5.02/3.79 (until2p7(s195) | (~xuntil2p8(s194))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13923, 5521, 12484])).
% 5.02/3.79 tff(13925,plain,
% 5.02/3.79 (~xuntil2p8(s194)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13924, 13920])).
% 5.02/3.79 tff(13926,plain,
% 5.02/3.79 (~node4(s194)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10140, 35, 5530])).
% 5.02/3.79 tff(13927,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13928,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s194) | xuntil2p8(s194) | (~until2p7(s194)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13929,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s194) | xuntil2p8(s194) | (~until2p7(s194))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13928, 13927])).
% 5.02/3.79 tff(13930,plain,
% 5.02/3.79 (xuntil2p8(s194) | (~until2p7(s194))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13929, 12469, 13926])).
% 5.02/3.79 tff(13931,plain,
% 5.02/3.79 (~until2p7(s194)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13930, 13925])).
% 5.02/3.79 tff(13932,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13933,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13934,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s193, s194)) | until2p7(s194) | (~xuntil2p8(s193))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13933, 13932])).
% 5.02/3.79 tff(13935,plain,
% 5.02/3.79 (until2p7(s194) | (~xuntil2p8(s193))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13934, 5533, 12484])).
% 5.02/3.79 tff(13936,plain,
% 5.02/3.79 (~xuntil2p8(s193)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13935, 13931])).
% 5.02/3.79 tff(13937,plain,
% 5.02/3.79 (~node4(s193)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10158, 35, 5542])).
% 5.02/3.79 tff(13938,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13939,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s193) | xuntil2p8(s193) | (~until2p7(s193)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13940,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s193) | xuntil2p8(s193) | (~until2p7(s193))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13939, 13938])).
% 5.02/3.79 tff(13941,plain,
% 5.02/3.79 (xuntil2p8(s193) | (~until2p7(s193))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13940, 12469, 13937])).
% 5.02/3.79 tff(13942,plain,
% 5.02/3.79 (~until2p7(s193)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13941, 13936])).
% 5.02/3.79 tff(13943,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13944,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13945,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s192, s193)) | until2p7(s193) | (~xuntil2p8(s192))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13944, 13943])).
% 5.02/3.79 tff(13946,plain,
% 5.02/3.79 (until2p7(s193) | (~xuntil2p8(s192))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13945, 5545, 12484])).
% 5.02/3.79 tff(13947,plain,
% 5.02/3.79 (~xuntil2p8(s192)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13946, 13942])).
% 5.02/3.79 tff(13948,plain,
% 5.02/3.79 (~node4(s192)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10297, 35, 5554])).
% 5.02/3.79 tff(13949,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13950,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s192) | xuntil2p8(s192) | (~until2p7(s192)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13951,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s192) | xuntil2p8(s192) | (~until2p7(s192))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13950, 13949])).
% 5.02/3.79 tff(13952,plain,
% 5.02/3.79 (xuntil2p8(s192) | (~until2p7(s192))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13951, 12469, 13948])).
% 5.02/3.79 tff(13953,plain,
% 5.02/3.79 (~until2p7(s192)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13952, 13947])).
% 5.02/3.79 tff(13954,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13955,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13956,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s191, s192)) | until2p7(s192) | (~xuntil2p8(s191))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13955, 13954])).
% 5.02/3.79 tff(13957,plain,
% 5.02/3.79 (until2p7(s192) | (~xuntil2p8(s191))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13956, 5557, 12484])).
% 5.02/3.79 tff(13958,plain,
% 5.02/3.79 (~xuntil2p8(s191)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13957, 13953])).
% 5.02/3.79 tff(13959,plain,
% 5.02/3.79 (~node4(s191)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10280, 35, 5566])).
% 5.02/3.79 tff(13960,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13961,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s191) | xuntil2p8(s191) | (~until2p7(s191)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13962,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s191) | xuntil2p8(s191) | (~until2p7(s191))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13961, 13960])).
% 5.02/3.79 tff(13963,plain,
% 5.02/3.79 (xuntil2p8(s191) | (~until2p7(s191))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13962, 12469, 13959])).
% 5.02/3.79 tff(13964,plain,
% 5.02/3.79 (~until2p7(s191)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13963, 13958])).
% 5.02/3.79 tff(13965,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13966,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13967,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s190, s191)) | until2p7(s191) | (~xuntil2p8(s190))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13966, 13965])).
% 5.02/3.79 tff(13968,plain,
% 5.02/3.79 (until2p7(s191) | (~xuntil2p8(s190))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13967, 5569, 12484])).
% 5.02/3.79 tff(13969,plain,
% 5.02/3.79 (~xuntil2p8(s190)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13968, 13964])).
% 5.02/3.79 tff(13970,plain,
% 5.02/3.79 (~node4(s190)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10263, 35, 5578])).
% 5.02/3.79 tff(13971,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13972,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s190) | xuntil2p8(s190) | (~until2p7(s190)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13973,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s190) | xuntil2p8(s190) | (~until2p7(s190))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13972, 13971])).
% 5.02/3.79 tff(13974,plain,
% 5.02/3.79 (xuntil2p8(s190) | (~until2p7(s190))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13973, 12469, 13970])).
% 5.02/3.79 tff(13975,plain,
% 5.02/3.79 (~until2p7(s190)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13974, 13969])).
% 5.02/3.79 tff(13976,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13977,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13978,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s189, s190)) | until2p7(s190) | (~xuntil2p8(s189))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13977, 13976])).
% 5.02/3.79 tff(13979,plain,
% 5.02/3.79 (until2p7(s190) | (~xuntil2p8(s189))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13978, 5581, 12484])).
% 5.02/3.79 tff(13980,plain,
% 5.02/3.79 (~xuntil2p8(s189)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13979, 13975])).
% 5.02/3.79 tff(13981,plain,
% 5.02/3.79 (~node4(s189)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10246, 35, 5590])).
% 5.02/3.79 tff(13982,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13983,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s189) | xuntil2p8(s189) | (~until2p7(s189)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13984,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s189) | xuntil2p8(s189) | (~until2p7(s189))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13983, 13982])).
% 5.02/3.79 tff(13985,plain,
% 5.02/3.79 (xuntil2p8(s189) | (~until2p7(s189))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13984, 12469, 13981])).
% 5.02/3.79 tff(13986,plain,
% 5.02/3.79 (~until2p7(s189)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13985, 13980])).
% 5.02/3.79 tff(13987,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13988,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13989,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s188, s189)) | until2p7(s189) | (~xuntil2p8(s188))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13988, 13987])).
% 5.02/3.79 tff(13990,plain,
% 5.02/3.79 (until2p7(s189) | (~xuntil2p8(s188))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13989, 5593, 12484])).
% 5.02/3.79 tff(13991,plain,
% 5.02/3.79 (~xuntil2p8(s188)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13990, 13986])).
% 5.02/3.79 tff(13992,plain,
% 5.02/3.79 (~node4(s188)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10229, 35, 5602])).
% 5.02/3.79 tff(13993,plain,
% 5.02/3.79 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13994,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s188) | xuntil2p8(s188) | (~until2p7(s188)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(13995,plain,
% 5.02/3.79 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s188) | xuntil2p8(s188) | (~until2p7(s188))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13994, 13993])).
% 5.02/3.79 tff(13996,plain,
% 5.02/3.79 (xuntil2p8(s188) | (~until2p7(s188))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13995, 12469, 13992])).
% 5.02/3.79 tff(13997,plain,
% 5.02/3.79 (~until2p7(s188)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[13996, 13991])).
% 5.02/3.79 tff(13998,plain,
% 5.02/3.79 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))),
% 5.02/3.79 inference(rewrite,[status(thm)],[])).
% 5.02/3.79 tff(13999,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187)))),
% 5.02/3.79 inference(quant_inst,[status(thm)],[])).
% 5.02/3.79 tff(14000,plain,
% 5.02/3.79 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s187, s188)) | until2p7(s188) | (~xuntil2p8(s187))),
% 5.02/3.79 inference(modus_ponens,[status(thm)],[13999, 13998])).
% 5.02/3.79 tff(14001,plain,
% 5.02/3.79 (until2p7(s188) | (~xuntil2p8(s187))),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[14000, 5605, 12484])).
% 5.02/3.79 tff(14002,plain,
% 5.02/3.79 (~xuntil2p8(s187)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[14001, 13997])).
% 5.02/3.79 tff(14003,plain,
% 5.02/3.79 (~node4(s187)),
% 5.02/3.79 inference(unit_resolution,[status(thm)],[10212, 35, 5614])).
% 5.02/3.80 tff(14004,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14005,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s187) | xuntil2p8(s187) | (~until2p7(s187)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14006,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s187) | xuntil2p8(s187) | (~until2p7(s187))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14005, 14004])).
% 5.02/3.80 tff(14007,plain,
% 5.02/3.80 (xuntil2p8(s187) | (~until2p7(s187))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14006, 12469, 14003])).
% 5.02/3.80 tff(14008,plain,
% 5.02/3.80 (~until2p7(s187)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14007, 14002])).
% 5.02/3.80 tff(14009,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14010,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14011,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s186, s187)) | until2p7(s187) | (~xuntil2p8(s186))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14010, 14009])).
% 5.02/3.80 tff(14012,plain,
% 5.02/3.80 (until2p7(s187) | (~xuntil2p8(s186))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14011, 5617, 12484])).
% 5.02/3.80 tff(14013,plain,
% 5.02/3.80 (~xuntil2p8(s186)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14012, 14008])).
% 5.02/3.80 tff(14014,plain,
% 5.02/3.80 (~node4(s186)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[10177, 35, 5626])).
% 5.02/3.80 tff(14015,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14016,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s186) | xuntil2p8(s186) | (~until2p7(s186)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14017,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s186) | xuntil2p8(s186) | (~until2p7(s186))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14016, 14015])).
% 5.02/3.80 tff(14018,plain,
% 5.02/3.80 (xuntil2p8(s186) | (~until2p7(s186))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14017, 12469, 14014])).
% 5.02/3.80 tff(14019,plain,
% 5.02/3.80 (~until2p7(s186)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14018, 14013])).
% 5.02/3.80 tff(14020,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14021,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14022,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s185, s186)) | until2p7(s186) | (~xuntil2p8(s185))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14021, 14020])).
% 5.02/3.80 tff(14023,plain,
% 5.02/3.80 (until2p7(s186) | (~xuntil2p8(s185))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14022, 5629, 12484])).
% 5.02/3.80 tff(14024,plain,
% 5.02/3.80 (~xuntil2p8(s185)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14023, 14019])).
% 5.02/3.80 tff(14025,plain,
% 5.02/3.80 (~node4(s185)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[10182, 35, 5638])).
% 5.02/3.80 tff(14026,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14027,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s185) | xuntil2p8(s185) | (~until2p7(s185)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14028,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s185) | xuntil2p8(s185) | (~until2p7(s185))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14027, 14026])).
% 5.02/3.80 tff(14029,plain,
% 5.02/3.80 (xuntil2p8(s185) | (~until2p7(s185))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14028, 12469, 14025])).
% 5.02/3.80 tff(14030,plain,
% 5.02/3.80 (~until2p7(s185)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14029, 14024])).
% 5.02/3.80 tff(14031,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14032,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14033,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s184, s185)) | until2p7(s185) | (~xuntil2p8(s184))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14032, 14031])).
% 5.02/3.80 tff(14034,plain,
% 5.02/3.80 (until2p7(s185) | (~xuntil2p8(s184))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14033, 5641, 12484])).
% 5.02/3.80 tff(14035,plain,
% 5.02/3.80 (~xuntil2p8(s184)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14034, 14030])).
% 5.02/3.80 tff(14036,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14037,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s184) | xuntil2p8(s184) | (~until2p7(s184)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14038,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s184) | xuntil2p8(s184) | (~until2p7(s184))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 5.02/3.80 tff(14039,plain,
% 5.02/3.80 (xuntil2p8(s184) | (~until2p7(s184))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14038, 12469, 10015])).
% 5.02/3.80 tff(14040,plain,
% 5.02/3.80 (~until2p7(s184)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14039, 14035])).
% 5.02/3.80 tff(14041,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14042,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14043,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s183, s184)) | until2p7(s184) | (~xuntil2p8(s183))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14042, 14041])).
% 5.02/3.80 tff(14044,plain,
% 5.02/3.80 (until2p7(s184) | (~xuntil2p8(s183))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14043, 5653, 12484])).
% 5.02/3.80 tff(14045,plain,
% 5.02/3.80 (~xuntil2p8(s183)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14044, 14040])).
% 5.02/3.80 tff(14046,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14047,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s183) | xuntil2p8(s183) | (~until2p7(s183)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14048,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s183) | xuntil2p8(s183) | (~until2p7(s183))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14047, 14046])).
% 5.02/3.80 tff(14049,plain,
% 5.02/3.80 (xuntil2p8(s183) | (~until2p7(s183))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14048, 12469, 9998])).
% 5.02/3.80 tff(14050,plain,
% 5.02/3.80 (~until2p7(s183)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14049, 14045])).
% 5.02/3.80 tff(14051,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14052,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14053,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s182, s183)) | until2p7(s183) | (~xuntil2p8(s182))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14052, 14051])).
% 5.02/3.80 tff(14054,plain,
% 5.02/3.80 (until2p7(s183) | (~xuntil2p8(s182))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14053, 5665, 12484])).
% 5.02/3.80 tff(14055,plain,
% 5.02/3.80 (~xuntil2p8(s182)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14054, 14050])).
% 5.02/3.80 tff(14056,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14057,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s182) | xuntil2p8(s182) | (~until2p7(s182)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14058,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s182) | xuntil2p8(s182) | (~until2p7(s182))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14057, 14056])).
% 5.02/3.80 tff(14059,plain,
% 5.02/3.80 (xuntil2p8(s182) | (~until2p7(s182))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14058, 12469, 9947])).
% 5.02/3.80 tff(14060,plain,
% 5.02/3.80 (~until2p7(s182)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14059, 14055])).
% 5.02/3.80 tff(14061,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14062,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14063,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s181, s182)) | until2p7(s182) | (~xuntil2p8(s181))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14062, 14061])).
% 5.02/3.80 tff(14064,plain,
% 5.02/3.80 (until2p7(s182) | (~xuntil2p8(s181))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14063, 5677, 12484])).
% 5.02/3.80 tff(14065,plain,
% 5.02/3.80 (~xuntil2p8(s181)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14064, 14060])).
% 5.02/3.80 tff(14066,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14067,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s181) | xuntil2p8(s181) | (~until2p7(s181)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14068,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s181) | xuntil2p8(s181) | (~until2p7(s181))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14067, 14066])).
% 5.02/3.80 tff(14069,plain,
% 5.02/3.80 (xuntil2p8(s181) | (~until2p7(s181))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14068, 12469, 9930])).
% 5.02/3.80 tff(14070,plain,
% 5.02/3.80 (~until2p7(s181)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14069, 14065])).
% 5.02/3.80 tff(14071,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14072,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14073,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s180, s181)) | until2p7(s181) | (~xuntil2p8(s180))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14072, 14071])).
% 5.02/3.80 tff(14074,plain,
% 5.02/3.80 (until2p7(s181) | (~xuntil2p8(s180))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14073, 5689, 12484])).
% 5.02/3.80 tff(14075,plain,
% 5.02/3.80 (~xuntil2p8(s180)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14074, 14070])).
% 5.02/3.80 tff(14076,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14077,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s180) | xuntil2p8(s180) | (~until2p7(s180)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14078,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s180) | xuntil2p8(s180) | (~until2p7(s180))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14077, 14076])).
% 5.02/3.80 tff(14079,plain,
% 5.02/3.80 (xuntil2p8(s180) | (~until2p7(s180))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14078, 12469, 9913])).
% 5.02/3.80 tff(14080,plain,
% 5.02/3.80 (~until2p7(s180)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14079, 14075])).
% 5.02/3.80 tff(14081,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14082,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14083,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s179, s180)) | until2p7(s180) | (~xuntil2p8(s179))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14082, 14081])).
% 5.02/3.80 tff(14084,plain,
% 5.02/3.80 (until2p7(s180) | (~xuntil2p8(s179))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14083, 5701, 12484])).
% 5.02/3.80 tff(14085,plain,
% 5.02/3.80 (~xuntil2p8(s179)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14084, 14080])).
% 5.02/3.80 tff(14086,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14087,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s179) | xuntil2p8(s179) | (~until2p7(s179)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14088,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s179) | xuntil2p8(s179) | (~until2p7(s179))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14087, 14086])).
% 5.02/3.80 tff(14089,plain,
% 5.02/3.80 (xuntil2p8(s179) | (~until2p7(s179))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14088, 12469, 9896])).
% 5.02/3.80 tff(14090,plain,
% 5.02/3.80 (~until2p7(s179)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14089, 14085])).
% 5.02/3.80 tff(14091,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14092,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14093,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s178, s179)) | until2p7(s179) | (~xuntil2p8(s178))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14092, 14091])).
% 5.02/3.80 tff(14094,plain,
% 5.02/3.80 (until2p7(s179) | (~xuntil2p8(s178))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14093, 5713, 12484])).
% 5.02/3.80 tff(14095,plain,
% 5.02/3.80 (~xuntil2p8(s178)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14094, 14090])).
% 5.02/3.80 tff(14096,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14097,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s178) | xuntil2p8(s178) | (~until2p7(s178)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14098,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s178) | xuntil2p8(s178) | (~until2p7(s178))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14097, 14096])).
% 5.02/3.80 tff(14099,plain,
% 5.02/3.80 (xuntil2p8(s178) | (~until2p7(s178))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14098, 12469, 9879])).
% 5.02/3.80 tff(14100,plain,
% 5.02/3.80 (~until2p7(s178)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14099, 14095])).
% 5.02/3.80 tff(14101,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14102,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14103,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s177, s178)) | until2p7(s178) | (~xuntil2p8(s177))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14102, 14101])).
% 5.02/3.80 tff(14104,plain,
% 5.02/3.80 (until2p7(s178) | (~xuntil2p8(s177))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14103, 5725, 12484])).
% 5.02/3.80 tff(14105,plain,
% 5.02/3.80 (~xuntil2p8(s177)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14104, 14100])).
% 5.02/3.80 tff(14106,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14107,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s177) | xuntil2p8(s177) | (~until2p7(s177)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14108,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s177) | xuntil2p8(s177) | (~until2p7(s177))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14107, 14106])).
% 5.02/3.80 tff(14109,plain,
% 5.02/3.80 (xuntil2p8(s177) | (~until2p7(s177))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14108, 12469, 9862])).
% 5.02/3.80 tff(14110,plain,
% 5.02/3.80 (~until2p7(s177)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14109, 14105])).
% 5.02/3.80 tff(14111,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14112,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14113,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s176, s177)) | until2p7(s177) | (~xuntil2p8(s176))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14112, 14111])).
% 5.02/3.80 tff(14114,plain,
% 5.02/3.80 (until2p7(s177) | (~xuntil2p8(s176))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14113, 5737, 12484])).
% 5.02/3.80 tff(14115,plain,
% 5.02/3.80 (~xuntil2p8(s176)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14114, 14110])).
% 5.02/3.80 tff(14116,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14117,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s176) | xuntil2p8(s176) | (~until2p7(s176)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14118,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s176) | xuntil2p8(s176) | (~until2p7(s176))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14117, 14116])).
% 5.02/3.80 tff(14119,plain,
% 5.02/3.80 (xuntil2p8(s176) | (~until2p7(s176))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14118, 12469, 9845])).
% 5.02/3.80 tff(14120,plain,
% 5.02/3.80 (~until2p7(s176)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14119, 14115])).
% 5.02/3.80 tff(14121,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14122,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14123,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s175, s176)) | until2p7(s176) | (~xuntil2p8(s175))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14122, 14121])).
% 5.02/3.80 tff(14124,plain,
% 5.02/3.80 (until2p7(s176) | (~xuntil2p8(s175))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14123, 5749, 12484])).
% 5.02/3.80 tff(14125,plain,
% 5.02/3.80 (~xuntil2p8(s175)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14124, 14120])).
% 5.02/3.80 tff(14126,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14127,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s175) | xuntil2p8(s175) | (~until2p7(s175)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14128,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s175) | xuntil2p8(s175) | (~until2p7(s175))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14127, 14126])).
% 5.02/3.80 tff(14129,plain,
% 5.02/3.80 (xuntil2p8(s175) | (~until2p7(s175))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14128, 12469, 9828])).
% 5.02/3.80 tff(14130,plain,
% 5.02/3.80 (~until2p7(s175)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14129, 14125])).
% 5.02/3.80 tff(14131,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14132,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14133,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s174, s175)) | until2p7(s175) | (~xuntil2p8(s174))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 5.02/3.80 tff(14134,plain,
% 5.02/3.80 (until2p7(s175) | (~xuntil2p8(s174))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14133, 5761, 12484])).
% 5.02/3.80 tff(14135,plain,
% 5.02/3.80 (~xuntil2p8(s174)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14134, 14130])).
% 5.02/3.80 tff(14136,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14137,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s174) | xuntil2p8(s174) | (~until2p7(s174)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14138,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s174) | xuntil2p8(s174) | (~until2p7(s174))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14137, 14136])).
% 5.02/3.80 tff(14139,plain,
% 5.02/3.80 (xuntil2p8(s174) | (~until2p7(s174))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14138, 12469, 9811])).
% 5.02/3.80 tff(14140,plain,
% 5.02/3.80 (~until2p7(s174)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14139, 14135])).
% 5.02/3.80 tff(14141,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14142,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14143,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s173, s174)) | until2p7(s174) | (~xuntil2p8(s173))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14142, 14141])).
% 5.02/3.80 tff(14144,plain,
% 5.02/3.80 (until2p7(s174) | (~xuntil2p8(s173))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14143, 5773, 12484])).
% 5.02/3.80 tff(14145,plain,
% 5.02/3.80 (~xuntil2p8(s173)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14144, 14140])).
% 5.02/3.80 tff(14146,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14147,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s173) | xuntil2p8(s173) | (~until2p7(s173)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14148,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s173) | xuntil2p8(s173) | (~until2p7(s173))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14147, 14146])).
% 5.02/3.80 tff(14149,plain,
% 5.02/3.80 (xuntil2p8(s173) | (~until2p7(s173))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14148, 12469, 9794])).
% 5.02/3.80 tff(14150,plain,
% 5.02/3.80 (~until2p7(s173)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14149, 14145])).
% 5.02/3.80 tff(14151,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14152,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14153,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s172, s173)) | until2p7(s173) | (~xuntil2p8(s172))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14152, 14151])).
% 5.02/3.80 tff(14154,plain,
% 5.02/3.80 (until2p7(s173) | (~xuntil2p8(s172))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14153, 5785, 12484])).
% 5.02/3.80 tff(14155,plain,
% 5.02/3.80 (~xuntil2p8(s172)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14154, 14150])).
% 5.02/3.80 tff(14156,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14157,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s172) | xuntil2p8(s172) | (~until2p7(s172)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14158,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s172) | xuntil2p8(s172) | (~until2p7(s172))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14157, 14156])).
% 5.02/3.80 tff(14159,plain,
% 5.02/3.80 (xuntil2p8(s172) | (~until2p7(s172))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14158, 12469, 9777])).
% 5.02/3.80 tff(14160,plain,
% 5.02/3.80 (~until2p7(s172)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14159, 14155])).
% 5.02/3.80 tff(14161,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14162,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14163,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s171, s172)) | until2p7(s172) | (~xuntil2p8(s171))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14162, 14161])).
% 5.02/3.80 tff(14164,plain,
% 5.02/3.80 (until2p7(s172) | (~xuntil2p8(s171))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14163, 5797, 12484])).
% 5.02/3.80 tff(14165,plain,
% 5.02/3.80 (~xuntil2p8(s171)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14164, 14160])).
% 5.02/3.80 tff(14166,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14167,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s171) | xuntil2p8(s171) | (~until2p7(s171)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14168,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s171) | xuntil2p8(s171) | (~until2p7(s171))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14167, 14166])).
% 5.02/3.80 tff(14169,plain,
% 5.02/3.80 (xuntil2p8(s171) | (~until2p7(s171))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14168, 12469, 9760])).
% 5.02/3.80 tff(14170,plain,
% 5.02/3.80 (~until2p7(s171)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14169, 14165])).
% 5.02/3.80 tff(14171,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14172,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14173,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s170, s171)) | until2p7(s171) | (~xuntil2p8(s170))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14172, 14171])).
% 5.02/3.80 tff(14174,plain,
% 5.02/3.80 (until2p7(s171) | (~xuntil2p8(s170))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14173, 5809, 12484])).
% 5.02/3.80 tff(14175,plain,
% 5.02/3.80 (~xuntil2p8(s170)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14174, 14170])).
% 5.02/3.80 tff(14176,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14177,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s170) | xuntil2p8(s170) | (~until2p7(s170)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14178,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s170) | xuntil2p8(s170) | (~until2p7(s170))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14177, 14176])).
% 5.02/3.80 tff(14179,plain,
% 5.02/3.80 (xuntil2p8(s170) | (~until2p7(s170))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14178, 12469, 9743])).
% 5.02/3.80 tff(14180,plain,
% 5.02/3.80 (~until2p7(s170)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14179, 14175])).
% 5.02/3.80 tff(14181,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14182,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14183,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s169, s170)) | until2p7(s170) | (~xuntil2p8(s169))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14182, 14181])).
% 5.02/3.80 tff(14184,plain,
% 5.02/3.80 (until2p7(s170) | (~xuntil2p8(s169))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14183, 5821, 12484])).
% 5.02/3.80 tff(14185,plain,
% 5.02/3.80 (~xuntil2p8(s169)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14184, 14180])).
% 5.02/3.80 tff(14186,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14187,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s169) | xuntil2p8(s169) | (~until2p7(s169)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14188,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s169) | xuntil2p8(s169) | (~until2p7(s169))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14187, 14186])).
% 5.02/3.80 tff(14189,plain,
% 5.02/3.80 (xuntil2p8(s169) | (~until2p7(s169))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14188, 12469, 9726])).
% 5.02/3.80 tff(14190,plain,
% 5.02/3.80 (~until2p7(s169)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14189, 14185])).
% 5.02/3.80 tff(14191,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14192,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14193,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s168, s169)) | until2p7(s169) | (~xuntil2p8(s168))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14192, 14191])).
% 5.02/3.80 tff(14194,plain,
% 5.02/3.80 (until2p7(s169) | (~xuntil2p8(s168))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14193, 5833, 12484])).
% 5.02/3.80 tff(14195,plain,
% 5.02/3.80 (~xuntil2p8(s168)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14194, 14190])).
% 5.02/3.80 tff(14196,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14197,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s168) | xuntil2p8(s168) | (~until2p7(s168)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14198,plain,
% 5.02/3.80 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s168) | xuntil2p8(s168) | (~until2p7(s168))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14197, 14196])).
% 5.02/3.80 tff(14199,plain,
% 5.02/3.80 (xuntil2p8(s168) | (~until2p7(s168))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14198, 12469, 9709])).
% 5.02/3.80 tff(14200,plain,
% 5.02/3.80 (~until2p7(s168)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14199, 14195])).
% 5.02/3.80 tff(14201,plain,
% 5.02/3.80 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))),
% 5.02/3.80 inference(rewrite,[status(thm)],[])).
% 5.02/3.80 tff(14202,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167)))),
% 5.02/3.80 inference(quant_inst,[status(thm)],[])).
% 5.02/3.80 tff(14203,plain,
% 5.02/3.80 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s167, s168)) | until2p7(s168) | (~xuntil2p8(s167))),
% 5.02/3.80 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 5.02/3.80 tff(14204,plain,
% 5.02/3.80 (until2p7(s168) | (~xuntil2p8(s167))),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14203, 5845, 12484])).
% 5.02/3.80 tff(14205,plain,
% 5.02/3.80 (~xuntil2p8(s167)),
% 5.02/3.80 inference(unit_resolution,[status(thm)],[14204, 14200])).
% 5.02/3.80 tff(14206,plain,
% 5.02/3.80 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14207,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s167) | xuntil2p8(s167) | (~until2p7(s167)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14208,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s167) | xuntil2p8(s167) | (~until2p7(s167))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14207, 14206])).
% 5.02/3.81 tff(14209,plain,
% 5.02/3.81 (xuntil2p8(s167) | (~until2p7(s167))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14208, 12469, 9692])).
% 5.02/3.81 tff(14210,plain,
% 5.02/3.81 (~until2p7(s167)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14209, 14205])).
% 5.02/3.81 tff(14211,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14212,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14213,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s166, s167)) | until2p7(s167) | (~xuntil2p8(s166))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14212, 14211])).
% 5.02/3.81 tff(14214,plain,
% 5.02/3.81 (until2p7(s167) | (~xuntil2p8(s166))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14213, 5857, 12484])).
% 5.02/3.81 tff(14215,plain,
% 5.02/3.81 (~xuntil2p8(s166)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14214, 14210])).
% 5.02/3.81 tff(14216,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14217,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s166) | xuntil2p8(s166) | (~until2p7(s166)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14218,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s166) | xuntil2p8(s166) | (~until2p7(s166))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14217, 14216])).
% 5.02/3.81 tff(14219,plain,
% 5.02/3.81 (xuntil2p8(s166) | (~until2p7(s166))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14218, 12469, 9675])).
% 5.02/3.81 tff(14220,plain,
% 5.02/3.81 (~until2p7(s166)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14219, 14215])).
% 5.02/3.81 tff(14221,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14222,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14223,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s165, s166)) | until2p7(s166) | (~xuntil2p8(s165))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14222, 14221])).
% 5.02/3.81 tff(14224,plain,
% 5.02/3.81 (until2p7(s166) | (~xuntil2p8(s165))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14223, 5869, 12484])).
% 5.02/3.81 tff(14225,plain,
% 5.02/3.81 (~xuntil2p8(s165)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14224, 14220])).
% 5.02/3.81 tff(14226,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14227,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s165) | xuntil2p8(s165) | (~until2p7(s165)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14228,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s165) | xuntil2p8(s165) | (~until2p7(s165))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14227, 14226])).
% 5.02/3.81 tff(14229,plain,
% 5.02/3.81 (xuntil2p8(s165) | (~until2p7(s165))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14228, 12469, 9658])).
% 5.02/3.81 tff(14230,plain,
% 5.02/3.81 (~until2p7(s165)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14229, 14225])).
% 5.02/3.81 tff(14231,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14232,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14233,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s164, s165)) | until2p7(s165) | (~xuntil2p8(s164))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14232, 14231])).
% 5.02/3.81 tff(14234,plain,
% 5.02/3.81 (until2p7(s165) | (~xuntil2p8(s164))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14233, 5881, 12484])).
% 5.02/3.81 tff(14235,plain,
% 5.02/3.81 (~xuntil2p8(s164)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14234, 14230])).
% 5.02/3.81 tff(14236,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14237,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s164) | xuntil2p8(s164) | (~until2p7(s164)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14238,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s164) | xuntil2p8(s164) | (~until2p7(s164))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14237, 14236])).
% 5.02/3.81 tff(14239,plain,
% 5.02/3.81 (xuntil2p8(s164) | (~until2p7(s164))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14238, 12469, 9641])).
% 5.02/3.81 tff(14240,plain,
% 5.02/3.81 (~until2p7(s164)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14239, 14235])).
% 5.02/3.81 tff(14241,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14242,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14243,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s163, s164)) | until2p7(s164) | (~xuntil2p8(s163))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14242, 14241])).
% 5.02/3.81 tff(14244,plain,
% 5.02/3.81 (until2p7(s164) | (~xuntil2p8(s163))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14243, 5893, 12484])).
% 5.02/3.81 tff(14245,plain,
% 5.02/3.81 (~xuntil2p8(s163)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14244, 14240])).
% 5.02/3.81 tff(14246,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14247,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s163) | xuntil2p8(s163) | (~until2p7(s163)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14248,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s163) | xuntil2p8(s163) | (~until2p7(s163))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14247, 14246])).
% 5.02/3.81 tff(14249,plain,
% 5.02/3.81 (xuntil2p8(s163) | (~until2p7(s163))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14248, 12469, 9624])).
% 5.02/3.81 tff(14250,plain,
% 5.02/3.81 (~until2p7(s163)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14249, 14245])).
% 5.02/3.81 tff(14251,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14252,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14253,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s162, s163)) | until2p7(s163) | (~xuntil2p8(s162))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14252, 14251])).
% 5.02/3.81 tff(14254,plain,
% 5.02/3.81 (until2p7(s163) | (~xuntil2p8(s162))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14253, 5905, 12484])).
% 5.02/3.81 tff(14255,plain,
% 5.02/3.81 (~xuntil2p8(s162)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14254, 14250])).
% 5.02/3.81 tff(14256,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14257,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s162) | xuntil2p8(s162) | (~until2p7(s162)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14258,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s162) | xuntil2p8(s162) | (~until2p7(s162))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14257, 14256])).
% 5.02/3.81 tff(14259,plain,
% 5.02/3.81 (xuntil2p8(s162) | (~until2p7(s162))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14258, 12469, 9607])).
% 5.02/3.81 tff(14260,plain,
% 5.02/3.81 (~until2p7(s162)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14259, 14255])).
% 5.02/3.81 tff(14261,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14262,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14263,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s161, s162)) | until2p7(s162) | (~xuntil2p8(s161))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14262, 14261])).
% 5.02/3.81 tff(14264,plain,
% 5.02/3.81 (until2p7(s162) | (~xuntil2p8(s161))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14263, 5917, 12484])).
% 5.02/3.81 tff(14265,plain,
% 5.02/3.81 (~xuntil2p8(s161)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14264, 14260])).
% 5.02/3.81 tff(14266,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14267,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s161) | xuntil2p8(s161) | (~until2p7(s161)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14268,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s161) | xuntil2p8(s161) | (~until2p7(s161))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14267, 14266])).
% 5.02/3.81 tff(14269,plain,
% 5.02/3.81 (xuntil2p8(s161) | (~until2p7(s161))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14268, 12469, 9590])).
% 5.02/3.81 tff(14270,plain,
% 5.02/3.81 (~until2p7(s161)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14269, 14265])).
% 5.02/3.81 tff(14271,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14272,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14273,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s160, s161)) | until2p7(s161) | (~xuntil2p8(s160))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14272, 14271])).
% 5.02/3.81 tff(14274,plain,
% 5.02/3.81 (until2p7(s161) | (~xuntil2p8(s160))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14273, 5929, 12484])).
% 5.02/3.81 tff(14275,plain,
% 5.02/3.81 (~xuntil2p8(s160)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14274, 14270])).
% 5.02/3.81 tff(14276,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14277,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s160) | xuntil2p8(s160) | (~until2p7(s160)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14278,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s160) | xuntil2p8(s160) | (~until2p7(s160))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14277, 14276])).
% 5.02/3.81 tff(14279,plain,
% 5.02/3.81 (xuntil2p8(s160) | (~until2p7(s160))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14278, 12469, 9573])).
% 5.02/3.81 tff(14280,plain,
% 5.02/3.81 (~until2p7(s160)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14279, 14275])).
% 5.02/3.81 tff(14281,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14282,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14283,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s159, s160)) | until2p7(s160) | (~xuntil2p8(s159))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14282, 14281])).
% 5.02/3.81 tff(14284,plain,
% 5.02/3.81 (until2p7(s160) | (~xuntil2p8(s159))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14283, 5941, 12484])).
% 5.02/3.81 tff(14285,plain,
% 5.02/3.81 (~xuntil2p8(s159)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14284, 14280])).
% 5.02/3.81 tff(14286,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14287,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s159) | xuntil2p8(s159) | (~until2p7(s159)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14288,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s159) | xuntil2p8(s159) | (~until2p7(s159))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14287, 14286])).
% 5.02/3.81 tff(14289,plain,
% 5.02/3.81 (xuntil2p8(s159) | (~until2p7(s159))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14288, 12469, 9556])).
% 5.02/3.81 tff(14290,plain,
% 5.02/3.81 (~until2p7(s159)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14289, 14285])).
% 5.02/3.81 tff(14291,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14292,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14293,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s158, s159)) | until2p7(s159) | (~xuntil2p8(s158))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14292, 14291])).
% 5.02/3.81 tff(14294,plain,
% 5.02/3.81 (until2p7(s159) | (~xuntil2p8(s158))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14293, 5953, 12484])).
% 5.02/3.81 tff(14295,plain,
% 5.02/3.81 (~xuntil2p8(s158)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14294, 14290])).
% 5.02/3.81 tff(14296,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14297,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s158) | xuntil2p8(s158) | (~until2p7(s158)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14298,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s158) | xuntil2p8(s158) | (~until2p7(s158))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14297, 14296])).
% 5.02/3.81 tff(14299,plain,
% 5.02/3.81 (xuntil2p8(s158) | (~until2p7(s158))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14298, 12469, 9539])).
% 5.02/3.81 tff(14300,plain,
% 5.02/3.81 (~until2p7(s158)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14299, 14295])).
% 5.02/3.81 tff(14301,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14302,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14303,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s157, s158)) | until2p7(s158) | (~xuntil2p8(s157))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 5.02/3.81 tff(14304,plain,
% 5.02/3.81 (until2p7(s158) | (~xuntil2p8(s157))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14303, 5965, 12484])).
% 5.02/3.81 tff(14305,plain,
% 5.02/3.81 (~xuntil2p8(s157)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14304, 14300])).
% 5.02/3.81 tff(14306,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14307,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s157) | xuntil2p8(s157) | (~until2p7(s157)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14308,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s157) | xuntil2p8(s157) | (~until2p7(s157))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14307, 14306])).
% 5.02/3.81 tff(14309,plain,
% 5.02/3.81 (xuntil2p8(s157) | (~until2p7(s157))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14308, 12469, 9522])).
% 5.02/3.81 tff(14310,plain,
% 5.02/3.81 (~until2p7(s157)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14309, 14305])).
% 5.02/3.81 tff(14311,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14312,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14313,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s156, s157)) | until2p7(s157) | (~xuntil2p8(s156))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14312, 14311])).
% 5.02/3.81 tff(14314,plain,
% 5.02/3.81 (until2p7(s157) | (~xuntil2p8(s156))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14313, 5977, 12484])).
% 5.02/3.81 tff(14315,plain,
% 5.02/3.81 (~xuntil2p8(s156)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14314, 14310])).
% 5.02/3.81 tff(14316,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14317,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s156) | xuntil2p8(s156) | (~until2p7(s156)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14318,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s156) | xuntil2p8(s156) | (~until2p7(s156))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14317, 14316])).
% 5.02/3.81 tff(14319,plain,
% 5.02/3.81 (xuntil2p8(s156) | (~until2p7(s156))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14318, 12469, 9505])).
% 5.02/3.81 tff(14320,plain,
% 5.02/3.81 (~until2p7(s156)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14319, 14315])).
% 5.02/3.81 tff(14321,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14322,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14323,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s155, s156)) | until2p7(s156) | (~xuntil2p8(s155))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14322, 14321])).
% 5.02/3.81 tff(14324,plain,
% 5.02/3.81 (until2p7(s156) | (~xuntil2p8(s155))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14323, 5989, 12484])).
% 5.02/3.81 tff(14325,plain,
% 5.02/3.81 (~xuntil2p8(s155)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14324, 14320])).
% 5.02/3.81 tff(14326,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14327,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s155) | xuntil2p8(s155) | (~until2p7(s155)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14328,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s155) | xuntil2p8(s155) | (~until2p7(s155))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14327, 14326])).
% 5.02/3.81 tff(14329,plain,
% 5.02/3.81 (xuntil2p8(s155) | (~until2p7(s155))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14328, 12469, 9488])).
% 5.02/3.81 tff(14330,plain,
% 5.02/3.81 (~until2p7(s155)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14329, 14325])).
% 5.02/3.81 tff(14331,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14332,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14333,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s154, s155)) | until2p7(s155) | (~xuntil2p8(s154))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14332, 14331])).
% 5.02/3.81 tff(14334,plain,
% 5.02/3.81 (until2p7(s155) | (~xuntil2p8(s154))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14333, 6001, 12484])).
% 5.02/3.81 tff(14335,plain,
% 5.02/3.81 (~xuntil2p8(s154)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14334, 14330])).
% 5.02/3.81 tff(14336,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14337,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s154) | xuntil2p8(s154) | (~until2p7(s154)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14338,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s154) | xuntil2p8(s154) | (~until2p7(s154))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14337, 14336])).
% 5.02/3.81 tff(14339,plain,
% 5.02/3.81 (xuntil2p8(s154) | (~until2p7(s154))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14338, 12469, 9471])).
% 5.02/3.81 tff(14340,plain,
% 5.02/3.81 (~until2p7(s154)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14339, 14335])).
% 5.02/3.81 tff(14341,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14342,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14343,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s153, s154)) | until2p7(s154) | (~xuntil2p8(s153))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14342, 14341])).
% 5.02/3.81 tff(14344,plain,
% 5.02/3.81 (until2p7(s154) | (~xuntil2p8(s153))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14343, 6013, 12484])).
% 5.02/3.81 tff(14345,plain,
% 5.02/3.81 (~xuntil2p8(s153)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14344, 14340])).
% 5.02/3.81 tff(14346,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14347,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s153) | xuntil2p8(s153) | (~until2p7(s153)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14348,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s153) | xuntil2p8(s153) | (~until2p7(s153))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14347, 14346])).
% 5.02/3.81 tff(14349,plain,
% 5.02/3.81 (xuntil2p8(s153) | (~until2p7(s153))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14348, 12469, 9454])).
% 5.02/3.81 tff(14350,plain,
% 5.02/3.81 (~until2p7(s153)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14349, 14345])).
% 5.02/3.81 tff(14351,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14352,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14353,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s152, s153)) | until2p7(s153) | (~xuntil2p8(s152))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14352, 14351])).
% 5.02/3.81 tff(14354,plain,
% 5.02/3.81 (until2p7(s153) | (~xuntil2p8(s152))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14353, 6025, 12484])).
% 5.02/3.81 tff(14355,plain,
% 5.02/3.81 (~xuntil2p8(s152)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14354, 14350])).
% 5.02/3.81 tff(14356,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14357,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s152) | xuntil2p8(s152) | (~until2p7(s152)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14358,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s152) | xuntil2p8(s152) | (~until2p7(s152))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14357, 14356])).
% 5.02/3.81 tff(14359,plain,
% 5.02/3.81 (xuntil2p8(s152) | (~until2p7(s152))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14358, 12469, 9437])).
% 5.02/3.81 tff(14360,plain,
% 5.02/3.81 (~until2p7(s152)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14359, 14355])).
% 5.02/3.81 tff(14361,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14362,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14363,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s151, s152)) | until2p7(s152) | (~xuntil2p8(s151))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14362, 14361])).
% 5.02/3.81 tff(14364,plain,
% 5.02/3.81 (until2p7(s152) | (~xuntil2p8(s151))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14363, 6037, 12484])).
% 5.02/3.81 tff(14365,plain,
% 5.02/3.81 (~xuntil2p8(s151)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14364, 14360])).
% 5.02/3.81 tff(14366,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14367,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s151) | xuntil2p8(s151) | (~until2p7(s151)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14368,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s151) | xuntil2p8(s151) | (~until2p7(s151))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14367, 14366])).
% 5.02/3.81 tff(14369,plain,
% 5.02/3.81 (xuntil2p8(s151) | (~until2p7(s151))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14368, 12469, 9420])).
% 5.02/3.81 tff(14370,plain,
% 5.02/3.81 (~until2p7(s151)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14369, 14365])).
% 5.02/3.81 tff(14371,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14372,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14373,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s150, s151)) | until2p7(s151) | (~xuntil2p8(s150))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14372, 14371])).
% 5.02/3.81 tff(14374,plain,
% 5.02/3.81 (until2p7(s151) | (~xuntil2p8(s150))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14373, 6049, 12484])).
% 5.02/3.81 tff(14375,plain,
% 5.02/3.81 (~xuntil2p8(s150)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14374, 14370])).
% 5.02/3.81 tff(14376,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14377,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s150) | xuntil2p8(s150) | (~until2p7(s150)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14378,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s150) | xuntil2p8(s150) | (~until2p7(s150))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14377, 14376])).
% 5.02/3.81 tff(14379,plain,
% 5.02/3.81 (xuntil2p8(s150) | (~until2p7(s150))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14378, 12469, 9403])).
% 5.02/3.81 tff(14380,plain,
% 5.02/3.81 (~until2p7(s150)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14379, 14375])).
% 5.02/3.81 tff(14381,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14382,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14383,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s149, s150)) | until2p7(s150) | (~xuntil2p8(s149))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14382, 14381])).
% 5.02/3.81 tff(14384,plain,
% 5.02/3.81 (until2p7(s150) | (~xuntil2p8(s149))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14383, 6061, 12484])).
% 5.02/3.81 tff(14385,plain,
% 5.02/3.81 (~xuntil2p8(s149)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14384, 14380])).
% 5.02/3.81 tff(14386,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14387,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s149) | xuntil2p8(s149) | (~until2p7(s149)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14388,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s149) | xuntil2p8(s149) | (~until2p7(s149))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14387, 14386])).
% 5.02/3.81 tff(14389,plain,
% 5.02/3.81 (xuntil2p8(s149) | (~until2p7(s149))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14388, 12469, 9386])).
% 5.02/3.81 tff(14390,plain,
% 5.02/3.81 (~until2p7(s149)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14389, 14385])).
% 5.02/3.81 tff(14391,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14392,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14393,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s148, s149)) | until2p7(s149) | (~xuntil2p8(s148))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14392, 14391])).
% 5.02/3.81 tff(14394,plain,
% 5.02/3.81 (until2p7(s149) | (~xuntil2p8(s148))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14393, 6073, 12484])).
% 5.02/3.81 tff(14395,plain,
% 5.02/3.81 (~xuntil2p8(s148)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14394, 14390])).
% 5.02/3.81 tff(14396,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14397,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s148) | xuntil2p8(s148) | (~until2p7(s148)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14398,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s148) | xuntil2p8(s148) | (~until2p7(s148))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14397, 14396])).
% 5.02/3.81 tff(14399,plain,
% 5.02/3.81 (xuntil2p8(s148) | (~until2p7(s148))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14398, 12469, 9369])).
% 5.02/3.81 tff(14400,plain,
% 5.02/3.81 (~until2p7(s148)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14399, 14395])).
% 5.02/3.81 tff(14401,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14402,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14403,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s147, s148)) | until2p7(s148) | (~xuntil2p8(s147))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14402, 14401])).
% 5.02/3.81 tff(14404,plain,
% 5.02/3.81 (until2p7(s148) | (~xuntil2p8(s147))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14403, 6085, 12484])).
% 5.02/3.81 tff(14405,plain,
% 5.02/3.81 (~xuntil2p8(s147)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14404, 14400])).
% 5.02/3.81 tff(14406,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14407,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s147) | xuntil2p8(s147) | (~until2p7(s147)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14408,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s147) | xuntil2p8(s147) | (~until2p7(s147))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14407, 14406])).
% 5.02/3.81 tff(14409,plain,
% 5.02/3.81 (xuntil2p8(s147) | (~until2p7(s147))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14408, 12469, 9352])).
% 5.02/3.81 tff(14410,plain,
% 5.02/3.81 (~until2p7(s147)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14409, 14405])).
% 5.02/3.81 tff(14411,plain,
% 5.02/3.81 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14412,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14413,plain,
% 5.02/3.81 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s146, s147)) | until2p7(s147) | (~xuntil2p8(s146))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14412, 14411])).
% 5.02/3.81 tff(14414,plain,
% 5.02/3.81 (until2p7(s147) | (~xuntil2p8(s146))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14413, 6097, 12484])).
% 5.02/3.81 tff(14415,plain,
% 5.02/3.81 (~xuntil2p8(s146)),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14414, 14410])).
% 5.02/3.81 tff(14416,plain,
% 5.02/3.81 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))),
% 5.02/3.81 inference(rewrite,[status(thm)],[])).
% 5.02/3.81 tff(14417,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s146) | xuntil2p8(s146) | (~until2p7(s146)))),
% 5.02/3.81 inference(quant_inst,[status(thm)],[])).
% 5.02/3.81 tff(14418,plain,
% 5.02/3.81 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s146) | xuntil2p8(s146) | (~until2p7(s146))),
% 5.02/3.81 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 5.02/3.81 tff(14419,plain,
% 5.02/3.81 (xuntil2p8(s146) | (~until2p7(s146))),
% 5.02/3.81 inference(unit_resolution,[status(thm)],[14418, 12469, 9335])).
% 5.02/3.81 tff(14420,plain,
% 5.02/3.82 (~until2p7(s146)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14419, 14415])).
% 5.02/3.82 tff(14421,plain,
% 5.02/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14422,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14423,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s145, s146)) | until2p7(s146) | (~xuntil2p8(s145))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14422, 14421])).
% 5.02/3.82 tff(14424,plain,
% 5.02/3.82 (until2p7(s146) | (~xuntil2p8(s145))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14423, 6109, 12484])).
% 5.02/3.82 tff(14425,plain,
% 5.02/3.82 (~xuntil2p8(s145)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14424, 14420])).
% 5.02/3.82 tff(14426,plain,
% 5.02/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14427,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s145) | xuntil2p8(s145) | (~until2p7(s145)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14428,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s145) | xuntil2p8(s145) | (~until2p7(s145))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14427, 14426])).
% 5.02/3.82 tff(14429,plain,
% 5.02/3.82 (xuntil2p8(s145) | (~until2p7(s145))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14428, 12469, 9318])).
% 5.02/3.82 tff(14430,plain,
% 5.02/3.82 (~until2p7(s145)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14429, 14425])).
% 5.02/3.82 tff(14431,plain,
% 5.02/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14432,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14433,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s144, s145)) | until2p7(s145) | (~xuntil2p8(s144))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14432, 14431])).
% 5.02/3.82 tff(14434,plain,
% 5.02/3.82 (until2p7(s145) | (~xuntil2p8(s144))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14433, 6121, 12484])).
% 5.02/3.82 tff(14435,plain,
% 5.02/3.82 (~xuntil2p8(s144)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14434, 14430])).
% 5.02/3.82 tff(14436,plain,
% 5.02/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14437,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s144) | xuntil2p8(s144) | (~until2p7(s144)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14438,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s144) | xuntil2p8(s144) | (~until2p7(s144))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14437, 14436])).
% 5.02/3.82 tff(14439,plain,
% 5.02/3.82 (xuntil2p8(s144) | (~until2p7(s144))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14438, 12469, 9301])).
% 5.02/3.82 tff(14440,plain,
% 5.02/3.82 (~until2p7(s144)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14439, 14435])).
% 5.02/3.82 tff(14441,plain,
% 5.02/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14442,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14443,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s143, s144)) | until2p7(s144) | (~xuntil2p8(s143))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14442, 14441])).
% 5.02/3.82 tff(14444,plain,
% 5.02/3.82 (until2p7(s144) | (~xuntil2p8(s143))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14443, 6133, 12484])).
% 5.02/3.82 tff(14445,plain,
% 5.02/3.82 (~xuntil2p8(s143)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14444, 14440])).
% 5.02/3.82 tff(14446,plain,
% 5.02/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14447,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s143) | xuntil2p8(s143) | (~until2p7(s143)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14448,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s143) | xuntil2p8(s143) | (~until2p7(s143))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14447, 14446])).
% 5.02/3.82 tff(14449,plain,
% 5.02/3.82 (xuntil2p8(s143) | (~until2p7(s143))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14448, 12469, 9284])).
% 5.02/3.82 tff(14450,plain,
% 5.02/3.82 (~until2p7(s143)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14449, 14445])).
% 5.02/3.82 tff(14451,plain,
% 5.02/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14452,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14453,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s142, s143)) | until2p7(s143) | (~xuntil2p8(s142))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14452, 14451])).
% 5.02/3.82 tff(14454,plain,
% 5.02/3.82 (until2p7(s143) | (~xuntil2p8(s142))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14453, 6145, 12484])).
% 5.02/3.82 tff(14455,plain,
% 5.02/3.82 (~xuntil2p8(s142)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14454, 14450])).
% 5.02/3.82 tff(14456,plain,
% 5.02/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14457,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s142) | xuntil2p8(s142) | (~until2p7(s142)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14458,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s142) | xuntil2p8(s142) | (~until2p7(s142))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14457, 14456])).
% 5.02/3.82 tff(14459,plain,
% 5.02/3.82 (xuntil2p8(s142) | (~until2p7(s142))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14458, 12469, 9267])).
% 5.02/3.82 tff(14460,plain,
% 5.02/3.82 (~until2p7(s142)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14459, 14455])).
% 5.02/3.82 tff(14461,plain,
% 5.02/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14462,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14463,plain,
% 5.02/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s141, s142)) | until2p7(s142) | (~xuntil2p8(s141))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14462, 14461])).
% 5.02/3.82 tff(14464,plain,
% 5.02/3.82 (until2p7(s142) | (~xuntil2p8(s141))),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14463, 6157, 12484])).
% 5.02/3.82 tff(14465,plain,
% 5.02/3.82 (~xuntil2p8(s141)),
% 5.02/3.82 inference(unit_resolution,[status(thm)],[14464, 14460])).
% 5.02/3.82 tff(14466,plain,
% 5.02/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))),
% 5.02/3.82 inference(rewrite,[status(thm)],[])).
% 5.02/3.82 tff(14467,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s141) | xuntil2p8(s141) | (~until2p7(s141)))),
% 5.02/3.82 inference(quant_inst,[status(thm)],[])).
% 5.02/3.82 tff(14468,plain,
% 5.02/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s141) | xuntil2p8(s141) | (~until2p7(s141))),
% 5.02/3.82 inference(modus_ponens,[status(thm)],[14467, 14466])).
% 5.06/3.82 tff(14469,plain,
% 5.06/3.82 (xuntil2p8(s141) | (~until2p7(s141))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14468, 12469, 9250])).
% 5.06/3.82 tff(14470,plain,
% 5.06/3.82 (~until2p7(s141)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14469, 14465])).
% 5.06/3.82 tff(14471,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14472,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14473,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s140, s141)) | until2p7(s141) | (~xuntil2p8(s140))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14472, 14471])).
% 5.06/3.82 tff(14474,plain,
% 5.06/3.82 (until2p7(s141) | (~xuntil2p8(s140))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14473, 6169, 12484])).
% 5.06/3.82 tff(14475,plain,
% 5.06/3.82 (~xuntil2p8(s140)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14474, 14470])).
% 5.06/3.82 tff(14476,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14477,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s140) | xuntil2p8(s140) | (~until2p7(s140)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14478,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s140) | xuntil2p8(s140) | (~until2p7(s140))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14477, 14476])).
% 5.06/3.82 tff(14479,plain,
% 5.06/3.82 (xuntil2p8(s140) | (~until2p7(s140))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14478, 12469, 9233])).
% 5.06/3.82 tff(14480,plain,
% 5.06/3.82 (~until2p7(s140)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14479, 14475])).
% 5.06/3.82 tff(14481,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14482,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14483,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s139, s140)) | until2p7(s140) | (~xuntil2p8(s139))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14482, 14481])).
% 5.06/3.82 tff(14484,plain,
% 5.06/3.82 (until2p7(s140) | (~xuntil2p8(s139))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14483, 6181, 12484])).
% 5.06/3.82 tff(14485,plain,
% 5.06/3.82 (~xuntil2p8(s139)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14484, 14480])).
% 5.06/3.82 tff(14486,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14487,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s139) | xuntil2p8(s139) | (~until2p7(s139)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14488,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s139) | xuntil2p8(s139) | (~until2p7(s139))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14487, 14486])).
% 5.06/3.82 tff(14489,plain,
% 5.06/3.82 (xuntil2p8(s139) | (~until2p7(s139))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14488, 12469, 9216])).
% 5.06/3.82 tff(14490,plain,
% 5.06/3.82 (~until2p7(s139)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14489, 14485])).
% 5.06/3.82 tff(14491,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14492,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14493,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s138, s139)) | until2p7(s139) | (~xuntil2p8(s138))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 5.06/3.82 tff(14494,plain,
% 5.06/3.82 (until2p7(s139) | (~xuntil2p8(s138))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14493, 6193, 12484])).
% 5.06/3.82 tff(14495,plain,
% 5.06/3.82 (~xuntil2p8(s138)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14494, 14490])).
% 5.06/3.82 tff(14496,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14497,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s138) | xuntil2p8(s138) | (~until2p7(s138)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14498,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s138) | xuntil2p8(s138) | (~until2p7(s138))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14497, 14496])).
% 5.06/3.82 tff(14499,plain,
% 5.06/3.82 (xuntil2p8(s138) | (~until2p7(s138))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14498, 12469, 9199])).
% 5.06/3.82 tff(14500,plain,
% 5.06/3.82 (~until2p7(s138)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14499, 14495])).
% 5.06/3.82 tff(14501,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14502,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14503,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s137, s138)) | until2p7(s138) | (~xuntil2p8(s137))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14502, 14501])).
% 5.06/3.82 tff(14504,plain,
% 5.06/3.82 (until2p7(s138) | (~xuntil2p8(s137))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14503, 6205, 12484])).
% 5.06/3.82 tff(14505,plain,
% 5.06/3.82 (~xuntil2p8(s137)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14504, 14500])).
% 5.06/3.82 tff(14506,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14507,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s137) | xuntil2p8(s137) | (~until2p7(s137)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14508,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s137) | xuntil2p8(s137) | (~until2p7(s137))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14507, 14506])).
% 5.06/3.82 tff(14509,plain,
% 5.06/3.82 (xuntil2p8(s137) | (~until2p7(s137))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14508, 12469, 9182])).
% 5.06/3.82 tff(14510,plain,
% 5.06/3.82 (~until2p7(s137)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14509, 14505])).
% 5.06/3.82 tff(14511,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14512,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14513,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s136, s137)) | until2p7(s137) | (~xuntil2p8(s136))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14512, 14511])).
% 5.06/3.82 tff(14514,plain,
% 5.06/3.82 (until2p7(s137) | (~xuntil2p8(s136))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14513, 6217, 12484])).
% 5.06/3.82 tff(14515,plain,
% 5.06/3.82 (~xuntil2p8(s136)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14514, 14510])).
% 5.06/3.82 tff(14516,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14517,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s136) | xuntil2p8(s136) | (~until2p7(s136)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14518,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s136) | xuntil2p8(s136) | (~until2p7(s136))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14517, 14516])).
% 5.06/3.82 tff(14519,plain,
% 5.06/3.82 (xuntil2p8(s136) | (~until2p7(s136))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14518, 12469, 9165])).
% 5.06/3.82 tff(14520,plain,
% 5.06/3.82 (~until2p7(s136)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14519, 14515])).
% 5.06/3.82 tff(14521,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14522,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14523,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s135, s136)) | until2p7(s136) | (~xuntil2p8(s135))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14522, 14521])).
% 5.06/3.82 tff(14524,plain,
% 5.06/3.82 (until2p7(s136) | (~xuntil2p8(s135))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14523, 6229, 12484])).
% 5.06/3.82 tff(14525,plain,
% 5.06/3.82 (~xuntil2p8(s135)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14524, 14520])).
% 5.06/3.82 tff(14526,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14527,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s135) | xuntil2p8(s135) | (~until2p7(s135)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14528,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s135) | xuntil2p8(s135) | (~until2p7(s135))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 5.06/3.82 tff(14529,plain,
% 5.06/3.82 (xuntil2p8(s135) | (~until2p7(s135))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14528, 12469, 9148])).
% 5.06/3.82 tff(14530,plain,
% 5.06/3.82 (~until2p7(s135)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14529, 14525])).
% 5.06/3.82 tff(14531,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14532,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14533,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s134, s135)) | until2p7(s135) | (~xuntil2p8(s134))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14532, 14531])).
% 5.06/3.82 tff(14534,plain,
% 5.06/3.82 (until2p7(s135) | (~xuntil2p8(s134))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14533, 6241, 12484])).
% 5.06/3.82 tff(14535,plain,
% 5.06/3.82 (~xuntil2p8(s134)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14534, 14530])).
% 5.06/3.82 tff(14536,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14537,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s134) | xuntil2p8(s134) | (~until2p7(s134)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14538,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s134) | xuntil2p8(s134) | (~until2p7(s134))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14537, 14536])).
% 5.06/3.82 tff(14539,plain,
% 5.06/3.82 (xuntil2p8(s134) | (~until2p7(s134))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14538, 12469, 9131])).
% 5.06/3.82 tff(14540,plain,
% 5.06/3.82 (~until2p7(s134)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14539, 14535])).
% 5.06/3.82 tff(14541,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14542,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14543,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s133, s134)) | until2p7(s134) | (~xuntil2p8(s133))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14542, 14541])).
% 5.06/3.82 tff(14544,plain,
% 5.06/3.82 (until2p7(s134) | (~xuntil2p8(s133))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14543, 6253, 12484])).
% 5.06/3.82 tff(14545,plain,
% 5.06/3.82 (~xuntil2p8(s133)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14544, 14540])).
% 5.06/3.82 tff(14546,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14547,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s133) | xuntil2p8(s133) | (~until2p7(s133)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14548,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s133) | xuntil2p8(s133) | (~until2p7(s133))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14547, 14546])).
% 5.06/3.82 tff(14549,plain,
% 5.06/3.82 (xuntil2p8(s133) | (~until2p7(s133))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14548, 12469, 9114])).
% 5.06/3.82 tff(14550,plain,
% 5.06/3.82 (~until2p7(s133)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14549, 14545])).
% 5.06/3.82 tff(14551,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14552,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14553,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s132, s133)) | until2p7(s133) | (~xuntil2p8(s132))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14552, 14551])).
% 5.06/3.82 tff(14554,plain,
% 5.06/3.82 (until2p7(s133) | (~xuntil2p8(s132))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14553, 6265, 12484])).
% 5.06/3.82 tff(14555,plain,
% 5.06/3.82 (~xuntil2p8(s132)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14554, 14550])).
% 5.06/3.82 tff(14556,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14557,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s132) | xuntil2p8(s132) | (~until2p7(s132)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14558,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s132) | xuntil2p8(s132) | (~until2p7(s132))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14557, 14556])).
% 5.06/3.82 tff(14559,plain,
% 5.06/3.82 (xuntil2p8(s132) | (~until2p7(s132))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14558, 12469, 9097])).
% 5.06/3.82 tff(14560,plain,
% 5.06/3.82 (~until2p7(s132)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14559, 14555])).
% 5.06/3.82 tff(14561,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14562,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14563,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s131, s132)) | until2p7(s132) | (~xuntil2p8(s131))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14562, 14561])).
% 5.06/3.82 tff(14564,plain,
% 5.06/3.82 (until2p7(s132) | (~xuntil2p8(s131))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14563, 6277, 12484])).
% 5.06/3.82 tff(14565,plain,
% 5.06/3.82 (~xuntil2p8(s131)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14564, 14560])).
% 5.06/3.82 tff(14566,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14567,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s131) | xuntil2p8(s131) | (~until2p7(s131)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14568,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s131) | xuntil2p8(s131) | (~until2p7(s131))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14567, 14566])).
% 5.06/3.82 tff(14569,plain,
% 5.06/3.82 (xuntil2p8(s131) | (~until2p7(s131))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14568, 12469, 9080])).
% 5.06/3.82 tff(14570,plain,
% 5.06/3.82 (~until2p7(s131)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14569, 14565])).
% 5.06/3.82 tff(14571,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14572,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14573,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s130, s131)) | until2p7(s131) | (~xuntil2p8(s130))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14572, 14571])).
% 5.06/3.82 tff(14574,plain,
% 5.06/3.82 (until2p7(s131) | (~xuntil2p8(s130))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14573, 6289, 12484])).
% 5.06/3.82 tff(14575,plain,
% 5.06/3.82 (~xuntil2p8(s130)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14574, 14570])).
% 5.06/3.82 tff(14576,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14577,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s130) | xuntil2p8(s130) | (~until2p7(s130)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14578,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s130) | xuntil2p8(s130) | (~until2p7(s130))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14577, 14576])).
% 5.06/3.82 tff(14579,plain,
% 5.06/3.82 (xuntil2p8(s130) | (~until2p7(s130))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14578, 12469, 9063])).
% 5.06/3.82 tff(14580,plain,
% 5.06/3.82 (~until2p7(s130)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14579, 14575])).
% 5.06/3.82 tff(14581,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14582,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14583,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s129, s130)) | until2p7(s130) | (~xuntil2p8(s129))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14582, 14581])).
% 5.06/3.82 tff(14584,plain,
% 5.06/3.82 (until2p7(s130) | (~xuntil2p8(s129))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14583, 6301, 12484])).
% 5.06/3.82 tff(14585,plain,
% 5.06/3.82 (~xuntil2p8(s129)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14584, 14580])).
% 5.06/3.82 tff(14586,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14587,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s129) | xuntil2p8(s129) | (~until2p7(s129)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14588,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s129) | xuntil2p8(s129) | (~until2p7(s129))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14587, 14586])).
% 5.06/3.82 tff(14589,plain,
% 5.06/3.82 (xuntil2p8(s129) | (~until2p7(s129))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14588, 12469, 9046])).
% 5.06/3.82 tff(14590,plain,
% 5.06/3.82 (~until2p7(s129)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14589, 14585])).
% 5.06/3.82 tff(14591,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14592,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14593,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s128, s129)) | until2p7(s129) | (~xuntil2p8(s128))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14592, 14591])).
% 5.06/3.82 tff(14594,plain,
% 5.06/3.82 (until2p7(s129) | (~xuntil2p8(s128))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14593, 6313, 12484])).
% 5.06/3.82 tff(14595,plain,
% 5.06/3.82 (~xuntil2p8(s128)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14594, 14590])).
% 5.06/3.82 tff(14596,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14597,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s128) | xuntil2p8(s128) | (~until2p7(s128)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14598,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s128) | xuntil2p8(s128) | (~until2p7(s128))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14597, 14596])).
% 5.06/3.82 tff(14599,plain,
% 5.06/3.82 (xuntil2p8(s128) | (~until2p7(s128))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14598, 12469, 9029])).
% 5.06/3.82 tff(14600,plain,
% 5.06/3.82 (~until2p7(s128)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14599, 14595])).
% 5.06/3.82 tff(14601,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14602,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14603,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s127, s128)) | until2p7(s128) | (~xuntil2p8(s127))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14602, 14601])).
% 5.06/3.82 tff(14604,plain,
% 5.06/3.82 (until2p7(s128) | (~xuntil2p8(s127))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14603, 6325, 12484])).
% 5.06/3.82 tff(14605,plain,
% 5.06/3.82 (~xuntil2p8(s127)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14604, 14600])).
% 5.06/3.82 tff(14606,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14607,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s127) | xuntil2p8(s127) | (~until2p7(s127)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14608,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s127) | xuntil2p8(s127) | (~until2p7(s127))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 5.06/3.82 tff(14609,plain,
% 5.06/3.82 (xuntil2p8(s127) | (~until2p7(s127))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14608, 12469, 9012])).
% 5.06/3.82 tff(14610,plain,
% 5.06/3.82 (~until2p7(s127)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14609, 14605])).
% 5.06/3.82 tff(14611,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14612,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14613,plain,
% 5.06/3.82 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s126, s127)) | until2p7(s127) | (~xuntil2p8(s126))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14612, 14611])).
% 5.06/3.82 tff(14614,plain,
% 5.06/3.82 (until2p7(s127) | (~xuntil2p8(s126))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14613, 6337, 12484])).
% 5.06/3.82 tff(14615,plain,
% 5.06/3.82 (~xuntil2p8(s126)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14614, 14610])).
% 5.06/3.82 tff(14616,plain,
% 5.06/3.82 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14617,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s126) | xuntil2p8(s126) | (~until2p7(s126)))),
% 5.06/3.82 inference(quant_inst,[status(thm)],[])).
% 5.06/3.82 tff(14618,plain,
% 5.06/3.82 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s126) | xuntil2p8(s126) | (~until2p7(s126))),
% 5.06/3.82 inference(modus_ponens,[status(thm)],[14617, 14616])).
% 5.06/3.82 tff(14619,plain,
% 5.06/3.82 (xuntil2p8(s126) | (~until2p7(s126))),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14618, 12469, 8995])).
% 5.06/3.82 tff(14620,plain,
% 5.06/3.82 (~until2p7(s126)),
% 5.06/3.82 inference(unit_resolution,[status(thm)],[14619, 14615])).
% 5.06/3.82 tff(14621,plain,
% 5.06/3.82 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))),
% 5.06/3.82 inference(rewrite,[status(thm)],[])).
% 5.06/3.82 tff(14622,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14623,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s125, s126)) | until2p7(s126) | (~xuntil2p8(s125))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14622, 14621])).
% 5.06/3.83 tff(14624,plain,
% 5.06/3.83 (until2p7(s126) | (~xuntil2p8(s125))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14623, 6349, 12484])).
% 5.06/3.83 tff(14625,plain,
% 5.06/3.83 (~xuntil2p8(s125)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14624, 14620])).
% 5.06/3.83 tff(14626,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14627,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s125) | xuntil2p8(s125) | (~until2p7(s125)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14628,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s125) | xuntil2p8(s125) | (~until2p7(s125))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14627, 14626])).
% 5.06/3.83 tff(14629,plain,
% 5.06/3.83 (xuntil2p8(s125) | (~until2p7(s125))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14628, 12469, 8978])).
% 5.06/3.83 tff(14630,plain,
% 5.06/3.83 (~until2p7(s125)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14629, 14625])).
% 5.06/3.83 tff(14631,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14632,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14633,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s124, s125)) | until2p7(s125) | (~xuntil2p8(s124))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14632, 14631])).
% 5.06/3.83 tff(14634,plain,
% 5.06/3.83 (until2p7(s125) | (~xuntil2p8(s124))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14633, 6361, 12484])).
% 5.06/3.83 tff(14635,plain,
% 5.06/3.83 (~xuntil2p8(s124)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14634, 14630])).
% 5.06/3.83 tff(14636,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14637,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s124) | xuntil2p8(s124) | (~until2p7(s124)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14638,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s124) | xuntil2p8(s124) | (~until2p7(s124))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14637, 14636])).
% 5.06/3.83 tff(14639,plain,
% 5.06/3.83 (xuntil2p8(s124) | (~until2p7(s124))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14638, 12469, 8961])).
% 5.06/3.83 tff(14640,plain,
% 5.06/3.83 (~until2p7(s124)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14639, 14635])).
% 5.06/3.83 tff(14641,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14642,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14643,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s123, s124)) | until2p7(s124) | (~xuntil2p8(s123))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 5.06/3.83 tff(14644,plain,
% 5.06/3.83 (until2p7(s124) | (~xuntil2p8(s123))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14643, 6373, 12484])).
% 5.06/3.83 tff(14645,plain,
% 5.06/3.83 (~xuntil2p8(s123)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14644, 14640])).
% 5.06/3.83 tff(14646,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14647,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s123) | xuntil2p8(s123) | (~until2p7(s123)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14648,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s123) | xuntil2p8(s123) | (~until2p7(s123))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14647, 14646])).
% 5.06/3.83 tff(14649,plain,
% 5.06/3.83 (xuntil2p8(s123) | (~until2p7(s123))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14648, 12469, 8944])).
% 5.06/3.83 tff(14650,plain,
% 5.06/3.83 (~until2p7(s123)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14649, 14645])).
% 5.06/3.83 tff(14651,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14652,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14653,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s122, s123)) | until2p7(s123) | (~xuntil2p8(s122))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14652, 14651])).
% 5.06/3.83 tff(14654,plain,
% 5.06/3.83 (until2p7(s123) | (~xuntil2p8(s122))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14653, 6385, 12484])).
% 5.06/3.83 tff(14655,plain,
% 5.06/3.83 (~xuntil2p8(s122)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14654, 14650])).
% 5.06/3.83 tff(14656,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14657,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s122) | xuntil2p8(s122) | (~until2p7(s122)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14658,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s122) | xuntil2p8(s122) | (~until2p7(s122))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14657, 14656])).
% 5.06/3.83 tff(14659,plain,
% 5.06/3.83 (xuntil2p8(s122) | (~until2p7(s122))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14658, 12469, 8927])).
% 5.06/3.83 tff(14660,plain,
% 5.06/3.83 (~until2p7(s122)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14659, 14655])).
% 5.06/3.83 tff(14661,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14662,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14663,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s121, s122)) | until2p7(s122) | (~xuntil2p8(s121))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14662, 14661])).
% 5.06/3.83 tff(14664,plain,
% 5.06/3.83 (until2p7(s122) | (~xuntil2p8(s121))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14663, 6397, 12484])).
% 5.06/3.83 tff(14665,plain,
% 5.06/3.83 (~xuntil2p8(s121)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14664, 14660])).
% 5.06/3.83 tff(14666,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14667,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s121) | xuntil2p8(s121) | (~until2p7(s121)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14668,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s121) | xuntil2p8(s121) | (~until2p7(s121))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14667, 14666])).
% 5.06/3.83 tff(14669,plain,
% 5.06/3.83 (xuntil2p8(s121) | (~until2p7(s121))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14668, 12469, 8910])).
% 5.06/3.83 tff(14670,plain,
% 5.06/3.83 (~until2p7(s121)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14669, 14665])).
% 5.06/3.83 tff(14671,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14672,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14673,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s120, s121)) | until2p7(s121) | (~xuntil2p8(s120))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14672, 14671])).
% 5.06/3.83 tff(14674,plain,
% 5.06/3.83 (until2p7(s121) | (~xuntil2p8(s120))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14673, 6409, 12484])).
% 5.06/3.83 tff(14675,plain,
% 5.06/3.83 (~xuntil2p8(s120)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14674, 14670])).
% 5.06/3.83 tff(14676,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14677,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s120) | xuntil2p8(s120) | (~until2p7(s120)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14678,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s120) | xuntil2p8(s120) | (~until2p7(s120))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14677, 14676])).
% 5.06/3.83 tff(14679,plain,
% 5.06/3.83 (xuntil2p8(s120) | (~until2p7(s120))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14678, 12469, 8893])).
% 5.06/3.83 tff(14680,plain,
% 5.06/3.83 (~until2p7(s120)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14679, 14675])).
% 5.06/3.83 tff(14681,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14682,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14683,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s119, s120)) | until2p7(s120) | (~xuntil2p8(s119))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14682, 14681])).
% 5.06/3.83 tff(14684,plain,
% 5.06/3.83 (until2p7(s120) | (~xuntil2p8(s119))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14683, 6421, 12484])).
% 5.06/3.83 tff(14685,plain,
% 5.06/3.83 (~xuntil2p8(s119)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14684, 14680])).
% 5.06/3.83 tff(14686,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14687,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s119) | xuntil2p8(s119) | (~until2p7(s119)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14688,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s119) | xuntil2p8(s119) | (~until2p7(s119))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14687, 14686])).
% 5.06/3.83 tff(14689,plain,
% 5.06/3.83 (xuntil2p8(s119) | (~until2p7(s119))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14688, 12469, 8876])).
% 5.06/3.83 tff(14690,plain,
% 5.06/3.83 (~until2p7(s119)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14689, 14685])).
% 5.06/3.83 tff(14691,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14692,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14693,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s118, s119)) | until2p7(s119) | (~xuntil2p8(s118))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14692, 14691])).
% 5.06/3.83 tff(14694,plain,
% 5.06/3.83 (until2p7(s119) | (~xuntil2p8(s118))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14693, 6433, 12484])).
% 5.06/3.83 tff(14695,plain,
% 5.06/3.83 (~xuntil2p8(s118)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14694, 14690])).
% 5.06/3.83 tff(14696,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14697,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s118) | xuntil2p8(s118) | (~until2p7(s118)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14698,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s118) | xuntil2p8(s118) | (~until2p7(s118))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14697, 14696])).
% 5.06/3.83 tff(14699,plain,
% 5.06/3.83 (xuntil2p8(s118) | (~until2p7(s118))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14698, 12469, 8859])).
% 5.06/3.83 tff(14700,plain,
% 5.06/3.83 (~until2p7(s118)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14699, 14695])).
% 5.06/3.83 tff(14701,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14702,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14703,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s117, s118)) | until2p7(s118) | (~xuntil2p8(s117))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14702, 14701])).
% 5.06/3.83 tff(14704,plain,
% 5.06/3.83 (until2p7(s118) | (~xuntil2p8(s117))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14703, 6445, 12484])).
% 5.06/3.83 tff(14705,plain,
% 5.06/3.83 (~xuntil2p8(s117)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14704, 14700])).
% 5.06/3.83 tff(14706,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14707,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s117) | xuntil2p8(s117) | (~until2p7(s117)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14708,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s117) | xuntil2p8(s117) | (~until2p7(s117))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14707, 14706])).
% 5.06/3.83 tff(14709,plain,
% 5.06/3.83 (xuntil2p8(s117) | (~until2p7(s117))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14708, 12469, 8842])).
% 5.06/3.83 tff(14710,plain,
% 5.06/3.83 (~until2p7(s117)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14709, 14705])).
% 5.06/3.83 tff(14711,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14712,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14713,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s116, s117)) | until2p7(s117) | (~xuntil2p8(s116))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14712, 14711])).
% 5.06/3.83 tff(14714,plain,
% 5.06/3.83 (until2p7(s117) | (~xuntil2p8(s116))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14713, 6457, 12484])).
% 5.06/3.83 tff(14715,plain,
% 5.06/3.83 (~xuntil2p8(s116)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14714, 14710])).
% 5.06/3.83 tff(14716,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14717,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s116) | xuntil2p8(s116) | (~until2p7(s116)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14718,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s116) | xuntil2p8(s116) | (~until2p7(s116))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14717, 14716])).
% 5.06/3.83 tff(14719,plain,
% 5.06/3.83 (xuntil2p8(s116) | (~until2p7(s116))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14718, 12469, 8825])).
% 5.06/3.83 tff(14720,plain,
% 5.06/3.83 (~until2p7(s116)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14719, 14715])).
% 5.06/3.83 tff(14721,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14722,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14723,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s115, s116)) | until2p7(s116) | (~xuntil2p8(s115))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14722, 14721])).
% 5.06/3.83 tff(14724,plain,
% 5.06/3.83 (until2p7(s116) | (~xuntil2p8(s115))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14723, 6469, 12484])).
% 5.06/3.83 tff(14725,plain,
% 5.06/3.83 (~xuntil2p8(s115)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14724, 14720])).
% 5.06/3.83 tff(14726,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14727,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s115) | xuntil2p8(s115) | (~until2p7(s115)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14728,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s115) | xuntil2p8(s115) | (~until2p7(s115))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14727, 14726])).
% 5.06/3.83 tff(14729,plain,
% 5.06/3.83 (xuntil2p8(s115) | (~until2p7(s115))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14728, 12469, 8808])).
% 5.06/3.83 tff(14730,plain,
% 5.06/3.83 (~until2p7(s115)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14729, 14725])).
% 5.06/3.83 tff(14731,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14732,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14733,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s114, s115)) | until2p7(s115) | (~xuntil2p8(s114))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14732, 14731])).
% 5.06/3.83 tff(14734,plain,
% 5.06/3.83 (until2p7(s115) | (~xuntil2p8(s114))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14733, 6481, 12484])).
% 5.06/3.83 tff(14735,plain,
% 5.06/3.83 (~xuntil2p8(s114)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14734, 14730])).
% 5.06/3.83 tff(14736,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14737,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s114) | xuntil2p8(s114) | (~until2p7(s114)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14738,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s114) | xuntil2p8(s114) | (~until2p7(s114))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14737, 14736])).
% 5.06/3.83 tff(14739,plain,
% 5.06/3.83 (xuntil2p8(s114) | (~until2p7(s114))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14738, 12469, 8791])).
% 5.06/3.83 tff(14740,plain,
% 5.06/3.83 (~until2p7(s114)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14739, 14735])).
% 5.06/3.83 tff(14741,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14742,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14743,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s113, s114)) | until2p7(s114) | (~xuntil2p8(s113))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14742, 14741])).
% 5.06/3.83 tff(14744,plain,
% 5.06/3.83 (until2p7(s114) | (~xuntil2p8(s113))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14743, 6493, 12484])).
% 5.06/3.83 tff(14745,plain,
% 5.06/3.83 (~xuntil2p8(s113)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14744, 14740])).
% 5.06/3.83 tff(14746,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14747,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s113) | xuntil2p8(s113) | (~until2p7(s113)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14748,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s113) | xuntil2p8(s113) | (~until2p7(s113))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14747, 14746])).
% 5.06/3.83 tff(14749,plain,
% 5.06/3.83 (xuntil2p8(s113) | (~until2p7(s113))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14748, 12469, 8774])).
% 5.06/3.83 tff(14750,plain,
% 5.06/3.83 (~until2p7(s113)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14749, 14745])).
% 5.06/3.83 tff(14751,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14752,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14753,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s112, s113)) | until2p7(s113) | (~xuntil2p8(s112))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14752, 14751])).
% 5.06/3.83 tff(14754,plain,
% 5.06/3.83 (until2p7(s113) | (~xuntil2p8(s112))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14753, 6505, 12484])).
% 5.06/3.83 tff(14755,plain,
% 5.06/3.83 (~xuntil2p8(s112)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14754, 14750])).
% 5.06/3.83 tff(14756,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14757,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s112) | xuntil2p8(s112) | (~until2p7(s112)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14758,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s112) | xuntil2p8(s112) | (~until2p7(s112))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14757, 14756])).
% 5.06/3.83 tff(14759,plain,
% 5.06/3.83 (xuntil2p8(s112) | (~until2p7(s112))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14758, 12469, 8757])).
% 5.06/3.83 tff(14760,plain,
% 5.06/3.83 (~until2p7(s112)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14759, 14755])).
% 5.06/3.83 tff(14761,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14762,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14763,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s111, s112)) | until2p7(s112) | (~xuntil2p8(s111))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14762, 14761])).
% 5.06/3.83 tff(14764,plain,
% 5.06/3.83 (until2p7(s112) | (~xuntil2p8(s111))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14763, 6517, 12484])).
% 5.06/3.83 tff(14765,plain,
% 5.06/3.83 (~xuntil2p8(s111)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14764, 14760])).
% 5.06/3.83 tff(14766,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14767,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s111) | xuntil2p8(s111) | (~until2p7(s111)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14768,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s111) | xuntil2p8(s111) | (~until2p7(s111))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14767, 14766])).
% 5.06/3.83 tff(14769,plain,
% 5.06/3.83 (xuntil2p8(s111) | (~until2p7(s111))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14768, 12469, 8740])).
% 5.06/3.83 tff(14770,plain,
% 5.06/3.83 (~until2p7(s111)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14769, 14765])).
% 5.06/3.83 tff(14771,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14772,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14773,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s110, s111)) | until2p7(s111) | (~xuntil2p8(s110))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14772, 14771])).
% 5.06/3.83 tff(14774,plain,
% 5.06/3.83 (until2p7(s111) | (~xuntil2p8(s110))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14773, 6529, 12484])).
% 5.06/3.83 tff(14775,plain,
% 5.06/3.83 (~xuntil2p8(s110)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14774, 14770])).
% 5.06/3.83 tff(14776,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14777,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s110) | xuntil2p8(s110) | (~until2p7(s110)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14778,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s110) | xuntil2p8(s110) | (~until2p7(s110))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14777, 14776])).
% 5.06/3.83 tff(14779,plain,
% 5.06/3.83 (xuntil2p8(s110) | (~until2p7(s110))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14778, 12469, 8723])).
% 5.06/3.83 tff(14780,plain,
% 5.06/3.83 (~until2p7(s110)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14779, 14775])).
% 5.06/3.83 tff(14781,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14782,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14783,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s109, s110)) | until2p7(s110) | (~xuntil2p8(s109))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14782, 14781])).
% 5.06/3.83 tff(14784,plain,
% 5.06/3.83 (until2p7(s110) | (~xuntil2p8(s109))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14783, 6541, 12484])).
% 5.06/3.83 tff(14785,plain,
% 5.06/3.83 (~xuntil2p8(s109)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14784, 14780])).
% 5.06/3.83 tff(14786,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14787,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s109) | xuntil2p8(s109) | (~until2p7(s109)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14788,plain,
% 5.06/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s109) | xuntil2p8(s109) | (~until2p7(s109))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14787, 14786])).
% 5.06/3.83 tff(14789,plain,
% 5.06/3.83 (xuntil2p8(s109) | (~until2p7(s109))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14788, 12469, 8706])).
% 5.06/3.83 tff(14790,plain,
% 5.06/3.83 (~until2p7(s109)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14789, 14785])).
% 5.06/3.83 tff(14791,plain,
% 5.06/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.06/3.83 tff(14792,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108)))),
% 5.06/3.83 inference(quant_inst,[status(thm)],[])).
% 5.06/3.83 tff(14793,plain,
% 5.06/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s108, s109)) | until2p7(s109) | (~xuntil2p8(s108))),
% 5.06/3.83 inference(modus_ponens,[status(thm)],[14792, 14791])).
% 5.06/3.83 tff(14794,plain,
% 5.06/3.83 (until2p7(s109) | (~xuntil2p8(s108))),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14793, 6553, 12484])).
% 5.06/3.83 tff(14795,plain,
% 5.06/3.83 (~xuntil2p8(s108)),
% 5.06/3.83 inference(unit_resolution,[status(thm)],[14794, 14790])).
% 5.06/3.83 tff(14796,plain,
% 5.06/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))),
% 5.06/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14797,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s108) | xuntil2p8(s108) | (~until2p7(s108)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14798,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s108) | xuntil2p8(s108) | (~until2p7(s108))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14797, 14796])).
% 5.07/3.83 tff(14799,plain,
% 5.07/3.83 (xuntil2p8(s108) | (~until2p7(s108))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14798, 12469, 8689])).
% 5.07/3.83 tff(14800,plain,
% 5.07/3.83 (~until2p7(s108)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14799, 14795])).
% 5.07/3.83 tff(14801,plain,
% 5.07/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))),
% 5.07/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14802,plain,
% 5.07/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14803,plain,
% 5.07/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s107, s108)) | until2p7(s108) | (~xuntil2p8(s107))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14802, 14801])).
% 5.07/3.83 tff(14804,plain,
% 5.07/3.83 (until2p7(s108) | (~xuntil2p8(s107))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14803, 6565, 12484])).
% 5.07/3.83 tff(14805,plain,
% 5.07/3.83 (~xuntil2p8(s107)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14804, 14800])).
% 5.07/3.83 tff(14806,plain,
% 5.07/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))),
% 5.07/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14807,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s107) | xuntil2p8(s107) | (~until2p7(s107)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14808,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s107) | xuntil2p8(s107) | (~until2p7(s107))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14807, 14806])).
% 5.07/3.83 tff(14809,plain,
% 5.07/3.83 (xuntil2p8(s107) | (~until2p7(s107))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14808, 12469, 8672])).
% 5.07/3.83 tff(14810,plain,
% 5.07/3.83 (~until2p7(s107)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14809, 14805])).
% 5.07/3.83 tff(14811,plain,
% 5.07/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))),
% 5.07/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14812,plain,
% 5.07/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14813,plain,
% 5.07/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s106, s107)) | until2p7(s107) | (~xuntil2p8(s106))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14812, 14811])).
% 5.07/3.83 tff(14814,plain,
% 5.07/3.83 (until2p7(s107) | (~xuntil2p8(s106))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14813, 6577, 12484])).
% 5.07/3.83 tff(14815,plain,
% 5.07/3.83 (~xuntil2p8(s106)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14814, 14810])).
% 5.07/3.83 tff(14816,plain,
% 5.07/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))),
% 5.07/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14817,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s106) | xuntil2p8(s106) | (~until2p7(s106)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14818,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s106) | xuntil2p8(s106) | (~until2p7(s106))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14817, 14816])).
% 5.07/3.83 tff(14819,plain,
% 5.07/3.83 (xuntil2p8(s106) | (~until2p7(s106))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14818, 12469, 8655])).
% 5.07/3.83 tff(14820,plain,
% 5.07/3.83 (~until2p7(s106)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14819, 14815])).
% 5.07/3.83 tff(14821,plain,
% 5.07/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))),
% 5.07/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14822,plain,
% 5.07/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14823,plain,
% 5.07/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s105, s106)) | until2p7(s106) | (~xuntil2p8(s105))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14822, 14821])).
% 5.07/3.83 tff(14824,plain,
% 5.07/3.83 (until2p7(s106) | (~xuntil2p8(s105))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14823, 6589, 12484])).
% 5.07/3.83 tff(14825,plain,
% 5.07/3.83 (~xuntil2p8(s105)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14824, 14820])).
% 5.07/3.83 tff(14826,plain,
% 5.07/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))),
% 5.07/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14827,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s105) | xuntil2p8(s105) | (~until2p7(s105)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14828,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s105) | xuntil2p8(s105) | (~until2p7(s105))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14827, 14826])).
% 5.07/3.83 tff(14829,plain,
% 5.07/3.83 (xuntil2p8(s105) | (~until2p7(s105))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14828, 12469, 8638])).
% 5.07/3.83 tff(14830,plain,
% 5.07/3.83 (~until2p7(s105)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14829, 14825])).
% 5.07/3.83 tff(14831,plain,
% 5.07/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))),
% 5.07/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14832,plain,
% 5.07/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14833,plain,
% 5.07/3.83 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s104, s105)) | until2p7(s105) | (~xuntil2p8(s104))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14832, 14831])).
% 5.07/3.83 tff(14834,plain,
% 5.07/3.83 (until2p7(s105) | (~xuntil2p8(s104))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14833, 6601, 12484])).
% 5.07/3.83 tff(14835,plain,
% 5.07/3.83 (~xuntil2p8(s104)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14834, 14830])).
% 5.07/3.83 tff(14836,plain,
% 5.07/3.83 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))),
% 5.07/3.83 inference(rewrite,[status(thm)],[])).
% 5.07/3.83 tff(14837,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s104) | xuntil2p8(s104) | (~until2p7(s104)))),
% 5.07/3.83 inference(quant_inst,[status(thm)],[])).
% 5.07/3.83 tff(14838,plain,
% 5.07/3.83 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s104) | xuntil2p8(s104) | (~until2p7(s104))),
% 5.07/3.83 inference(modus_ponens,[status(thm)],[14837, 14836])).
% 5.07/3.83 tff(14839,plain,
% 5.07/3.83 (xuntil2p8(s104) | (~until2p7(s104))),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14838, 12469, 8621])).
% 5.07/3.83 tff(14840,plain,
% 5.07/3.83 (~until2p7(s104)),
% 5.07/3.83 inference(unit_resolution,[status(thm)],[14839, 14835])).
% 5.07/3.83 tff(14841,plain,
% 5.07/3.83 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14842,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14843,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s103, s104)) | until2p7(s104) | (~xuntil2p8(s103))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14842, 14841])).
% 5.07/3.84 tff(14844,plain,
% 5.07/3.84 (until2p7(s104) | (~xuntil2p8(s103))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14843, 6613, 12484])).
% 5.07/3.84 tff(14845,plain,
% 5.07/3.84 (~xuntil2p8(s103)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14844, 14840])).
% 5.07/3.84 tff(14846,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14847,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s103) | xuntil2p8(s103) | (~until2p7(s103)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14848,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s103) | xuntil2p8(s103) | (~until2p7(s103))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14847, 14846])).
% 5.07/3.84 tff(14849,plain,
% 5.07/3.84 (xuntil2p8(s103) | (~until2p7(s103))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14848, 12469, 8604])).
% 5.07/3.84 tff(14850,plain,
% 5.07/3.84 (~until2p7(s103)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14849, 14845])).
% 5.07/3.84 tff(14851,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14852,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14853,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s102, s103)) | until2p7(s103) | (~xuntil2p8(s102))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14852, 14851])).
% 5.07/3.84 tff(14854,plain,
% 5.07/3.84 (until2p7(s103) | (~xuntil2p8(s102))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14853, 6625, 12484])).
% 5.07/3.84 tff(14855,plain,
% 5.07/3.84 (~xuntil2p8(s102)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14854, 14850])).
% 5.07/3.84 tff(14856,plain,
% 5.07/3.84 (~node4(s102)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8504, 35, 6634])).
% 5.07/3.84 tff(14857,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14858,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s102) | xuntil2p8(s102) | (~until2p7(s102)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14859,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s102) | xuntil2p8(s102) | (~until2p7(s102))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14858, 14857])).
% 5.07/3.84 tff(14860,plain,
% 5.07/3.84 (xuntil2p8(s102) | (~until2p7(s102))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14859, 12469, 14856])).
% 5.07/3.84 tff(14861,plain,
% 5.07/3.84 (~until2p7(s102)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14860, 14855])).
% 5.07/3.84 tff(14862,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14863,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14864,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s101, s102)) | until2p7(s102) | (~xuntil2p8(s101))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14863, 14862])).
% 5.07/3.84 tff(14865,plain,
% 5.07/3.84 (until2p7(s102) | (~xuntil2p8(s101))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14864, 6637, 12484])).
% 5.07/3.84 tff(14866,plain,
% 5.07/3.84 (~xuntil2p8(s101)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14865, 14861])).
% 5.07/3.84 tff(14867,assumption,(node4(s101)), introduced(assumption)).
% 5.07/3.84 tff(14868,plain,
% 5.07/3.84 (m_main_v_request(s101)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8571, 17, 14867])).
% 5.07/3.84 tff(14869,plain,
% 5.07/3.84 (always3(s101)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8517, 35, 14867])).
% 5.07/3.84 tff(14870,plain,
% 5.07/3.84 (always3(s102)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6645, 14869])).
% 5.07/3.84 tff(14871,plain,
% 5.07/3.84 (~m_main_v_state(s102, c_busy)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8539, 75, 14870])).
% 5.07/3.84 tff(14872,plain,
% 5.07/3.84 (~m_main_v_state(s101, c_ready)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8580, 14871, 14868])).
% 5.07/3.84 tff(14873,plain,
% 5.07/3.84 (~m_main_v_state(s101, c_busy)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8588, 75, 14869])).
% 5.07/3.84 tff(14874,plain,
% 5.07/3.84 ($false),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8592, 118, 14873, 14872])).
% 5.07/3.84 tff(14875,plain,(~node4(s101)), inference(lemma,lemma(discharge,[]))).
% 5.07/3.84 tff(14876,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14877,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s101) | xuntil2p8(s101) | (~until2p7(s101)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14878,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s101) | xuntil2p8(s101) | (~until2p7(s101))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14877, 14876])).
% 5.07/3.84 tff(14879,plain,
% 5.07/3.84 (xuntil2p8(s101) | (~until2p7(s101))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14878, 12469, 14875])).
% 5.07/3.84 tff(14880,plain,
% 5.07/3.84 (~until2p7(s101)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14879, 14866])).
% 5.07/3.84 tff(14881,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14882,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14883,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s100, s101)) | until2p7(s101) | (~xuntil2p8(s100))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14882, 14881])).
% 5.07/3.84 tff(14884,plain,
% 5.07/3.84 (until2p7(s101) | (~xuntil2p8(s100))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14883, 6649, 12484])).
% 5.07/3.84 tff(14885,plain,
% 5.07/3.84 (~xuntil2p8(s100)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14884, 14880])).
% 5.07/3.84 tff(14886,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14887,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s100) | xuntil2p8(s100) | (~until2p7(s100)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14888,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s100) | xuntil2p8(s100) | (~until2p7(s100))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14887, 14886])).
% 5.07/3.84 tff(14889,plain,
% 5.07/3.84 (xuntil2p8(s100) | (~until2p7(s100))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14888, 12469, 8485])).
% 5.07/3.84 tff(14890,plain,
% 5.07/3.84 (~until2p7(s100)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14889, 14885])).
% 5.07/3.84 tff(14891,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14892,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14893,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s99, s100)) | until2p7(s100) | (~xuntil2p8(s99))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14892, 14891])).
% 5.07/3.84 tff(14894,plain,
% 5.07/3.84 (until2p7(s100) | (~xuntil2p8(s99))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14893, 6661, 12484])).
% 5.07/3.84 tff(14895,plain,
% 5.07/3.84 (~xuntil2p8(s99)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14894, 14890])).
% 5.07/3.84 tff(14896,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14897,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s99) | xuntil2p8(s99) | (~until2p7(s99)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14898,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s99) | xuntil2p8(s99) | (~until2p7(s99))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14897, 14896])).
% 5.07/3.84 tff(14899,plain,
% 5.07/3.84 (xuntil2p8(s99) | (~until2p7(s99))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14898, 12469, 8468])).
% 5.07/3.84 tff(14900,plain,
% 5.07/3.84 (~until2p7(s99)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14899, 14895])).
% 5.07/3.84 tff(14901,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14902,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14903,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s98, s99)) | until2p7(s99) | (~xuntil2p8(s98))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14902, 14901])).
% 5.07/3.84 tff(14904,plain,
% 5.07/3.84 (until2p7(s99) | (~xuntil2p8(s98))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14903, 6673, 12484])).
% 5.07/3.84 tff(14905,plain,
% 5.07/3.84 (~xuntil2p8(s98)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14904, 14900])).
% 5.07/3.84 tff(14906,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14907,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s98) | xuntil2p8(s98) | (~until2p7(s98)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14908,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s98) | xuntil2p8(s98) | (~until2p7(s98))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14907, 14906])).
% 5.07/3.84 tff(14909,plain,
% 5.07/3.84 (xuntil2p8(s98) | (~until2p7(s98))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14908, 12469, 6686])).
% 5.07/3.84 tff(14910,plain,
% 5.07/3.84 (~until2p7(s98)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14909, 14905])).
% 5.07/3.84 tff(14911,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14912,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14913,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s97, s98)) | until2p7(s98) | (~xuntil2p8(s97))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14912, 14911])).
% 5.07/3.84 tff(14914,plain,
% 5.07/3.84 (until2p7(s98) | (~xuntil2p8(s97))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14913, 6689, 12484])).
% 5.07/3.84 tff(14915,plain,
% 5.07/3.84 (~xuntil2p8(s97)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14914, 14910])).
% 5.07/3.84 tff(14916,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14917,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s97) | xuntil2p8(s97) | (~until2p7(s97)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14918,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s97) | xuntil2p8(s97) | (~until2p7(s97))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14917, 14916])).
% 5.07/3.84 tff(14919,plain,
% 5.07/3.84 (xuntil2p8(s97) | (~until2p7(s97))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14918, 12469, 8405])).
% 5.07/3.84 tff(14920,plain,
% 5.07/3.84 (~until2p7(s97)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14919, 14915])).
% 5.07/3.84 tff(14921,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14922,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14923,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s96, s97)) | until2p7(s97) | (~xuntil2p8(s96))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14922, 14921])).
% 5.07/3.84 tff(14924,plain,
% 5.07/3.84 (until2p7(s97) | (~xuntil2p8(s96))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14923, 6701, 12484])).
% 5.07/3.84 tff(14925,plain,
% 5.07/3.84 (~xuntil2p8(s96)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14924, 14920])).
% 5.07/3.84 tff(14926,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14927,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s96) | xuntil2p8(s96) | (~until2p7(s96)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14928,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s96) | xuntil2p8(s96) | (~until2p7(s96))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14927, 14926])).
% 5.07/3.84 tff(14929,plain,
% 5.07/3.84 (xuntil2p8(s96) | (~until2p7(s96))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14928, 12469, 6714])).
% 5.07/3.84 tff(14930,plain,
% 5.07/3.84 (~until2p7(s96)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14929, 14925])).
% 5.07/3.84 tff(14931,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14932,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14933,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s95, s96)) | until2p7(s96) | (~xuntil2p8(s95))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14932, 14931])).
% 5.07/3.84 tff(14934,plain,
% 5.07/3.84 (until2p7(s96) | (~xuntil2p8(s95))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14933, 6717, 12484])).
% 5.07/3.84 tff(14935,plain,
% 5.07/3.84 (~xuntil2p8(s95)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14934, 14930])).
% 5.07/3.84 tff(14936,plain,
% 5.07/3.84 (~node4(s95)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8258, 35, 6726])).
% 5.07/3.84 tff(14937,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14938,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s95) | xuntil2p8(s95) | (~until2p7(s95)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14939,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s95) | xuntil2p8(s95) | (~until2p7(s95))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14938, 14937])).
% 5.07/3.84 tff(14940,plain,
% 5.07/3.84 (xuntil2p8(s95) | (~until2p7(s95))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14939, 12469, 14936])).
% 5.07/3.84 tff(14941,plain,
% 5.07/3.84 (~until2p7(s95)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14940, 14935])).
% 5.07/3.84 tff(14942,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14943,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14944,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s94, s95)) | until2p7(s95) | (~xuntil2p8(s94))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14943, 14942])).
% 5.07/3.84 tff(14945,plain,
% 5.07/3.84 (until2p7(s95) | (~xuntil2p8(s94))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14944, 6729, 12484])).
% 5.07/3.84 tff(14946,plain,
% 5.07/3.84 (~xuntil2p8(s94)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14945, 14941])).
% 5.07/3.84 tff(14947,plain,
% 5.07/3.84 (~node4(s94)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8271, 35, 6738])).
% 5.07/3.84 tff(14948,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14949,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s94) | xuntil2p8(s94) | (~until2p7(s94)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14950,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s94) | xuntil2p8(s94) | (~until2p7(s94))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14949, 14948])).
% 5.07/3.84 tff(14951,plain,
% 5.07/3.84 (xuntil2p8(s94) | (~until2p7(s94))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14950, 12469, 14947])).
% 5.07/3.84 tff(14952,plain,
% 5.07/3.84 (~until2p7(s94)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14951, 14946])).
% 5.07/3.84 tff(14953,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14954,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14955,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s93, s94)) | until2p7(s94) | (~xuntil2p8(s93))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14954, 14953])).
% 5.07/3.84 tff(14956,plain,
% 5.07/3.84 (until2p7(s94) | (~xuntil2p8(s93))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14955, 6741, 12484])).
% 5.07/3.84 tff(14957,plain,
% 5.07/3.84 (~xuntil2p8(s93)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14956, 14952])).
% 5.07/3.84 tff(14958,plain,
% 5.07/3.84 (~node4(s93)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6770, 35, 6750])).
% 5.07/3.84 tff(14959,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14960,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s93) | xuntil2p8(s93) | (~until2p7(s93)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14961,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s93) | xuntil2p8(s93) | (~until2p7(s93))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14960, 14959])).
% 5.07/3.84 tff(14962,plain,
% 5.07/3.84 (xuntil2p8(s93) | (~until2p7(s93))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14961, 12469, 14958])).
% 5.07/3.84 tff(14963,plain,
% 5.07/3.84 (~until2p7(s93)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14962, 14957])).
% 5.07/3.84 tff(14964,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14965,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14966,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s92, s93)) | until2p7(s93) | (~xuntil2p8(s92))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14965, 14964])).
% 5.07/3.84 tff(14967,plain,
% 5.07/3.84 (until2p7(s93) | (~xuntil2p8(s92))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14966, 6754, 12484])).
% 5.07/3.84 tff(14968,plain,
% 5.07/3.84 (~xuntil2p8(s92)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14967, 14963])).
% 5.07/3.84 tff(14969,plain,
% 5.07/3.84 (~always3(s92)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6762, 6750])).
% 5.07/3.84 tff(14970,plain,
% 5.07/3.84 (~node4(s92)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6766, 35, 14969])).
% 5.07/3.84 tff(14971,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14972,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s92) | xuntil2p8(s92) | (~until2p7(s92)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14973,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s92) | xuntil2p8(s92) | (~until2p7(s92))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14972, 14971])).
% 5.07/3.84 tff(14974,plain,
% 5.07/3.84 (xuntil2p8(s92) | (~until2p7(s92))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14973, 12469, 14970])).
% 5.07/3.84 tff(14975,plain,
% 5.07/3.84 (~until2p7(s92)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14974, 14968])).
% 5.07/3.84 tff(14976,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14977,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14978,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s91, s92)) | until2p7(s92) | (~xuntil2p8(s91))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14977, 14976])).
% 5.07/3.84 tff(14979,plain,
% 5.07/3.84 (until2p7(s92) | (~xuntil2p8(s91))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14978, 6795, 12484])).
% 5.07/3.84 tff(14980,plain,
% 5.07/3.84 (~xuntil2p8(s91)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14979, 14975])).
% 5.07/3.84 tff(14981,assumption,(node4(s91)), introduced(assumption)).
% 5.07/3.84 tff(14982,plain,
% 5.07/3.84 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s91) | (~node4(s91)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s91) | (~node4(s91)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14983,plain,
% 5.07/3.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s91) | (~node4(s91)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14984,plain,
% 5.07/3.84 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s91) | (~node4(s91))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14983, 14982])).
% 5.07/3.84 tff(14985,plain,
% 5.07/3.84 (m_main_v_request(s91)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14984, 17, 14981])).
% 5.07/3.84 tff(14986,plain,
% 5.07/3.84 (always3(s91)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6812, 35, 14981])).
% 5.07/3.84 tff(14987,plain,
% 5.07/3.84 (always3(s92)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6808, 14986])).
% 5.07/3.84 tff(14988,plain,
% 5.07/3.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s92)) | (~m_main_v_state(s92, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14989,plain,
% 5.07/3.84 (((~m_main_v_state(s92, c_busy)) | (~always3(s92))) <=> ((~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14990,plain,
% 5.07/3.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s92)) | (~m_main_v_state(s92, c_busy))))),
% 5.07/3.84 inference(monotonicity,[status(thm)],[14989])).
% 5.07/3.84 tff(14991,plain,
% 5.07/3.84 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy)))),
% 5.07/3.84 inference(transitivity,[status(thm)],[14990, 14988])).
% 5.07/3.84 tff(14992,plain,
% 5.07/3.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s92, c_busy)) | (~always3(s92)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14993,plain,
% 5.07/3.84 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s92)) | (~m_main_v_state(s92, c_busy))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14992, 14991])).
% 5.07/3.84 tff(14994,plain,
% 5.07/3.84 (~m_main_v_state(s92, c_busy)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14993, 75, 14987])).
% 5.07/3.84 tff(14995,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s91, s92)) | node2(s91, s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s91, s92)) | node2(s91, s92))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(14996,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s91, s92)) | node2(s91, s92))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(14997,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s91, s92)) | node2(s91, s92)),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[14996, 14995])).
% 5.07/3.84 tff(14998,plain,
% 5.07/3.84 (node2(s91, s92)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[14997, 7, 6804])).
% 5.07/3.84 tff(14999,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(15000,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(15001,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s91, c_ready)) | (~node2(s91, s92)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[15000, 14999])).
% 5.07/3.84 tff(15002,plain,
% 5.07/3.84 ((~m_main_v_state(s91, c_ready)) | m_main_v_state(s92, c_busy) | (~m_main_v_request(s91))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15001, 96, 14998])).
% 5.07/3.84 tff(15003,plain,
% 5.07/3.84 (~m_main_v_state(s91, c_ready)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15002, 14994, 14985])).
% 5.07/3.84 tff(15004,plain,
% 5.07/3.84 (~m_main_v_state(s91, c_busy)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8192, 75, 14986])).
% 5.07/3.84 tff(15005,plain,
% 5.07/3.84 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(15006,plain,
% 5.07/3.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(15007,plain,
% 5.07/3.84 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s91, c_busy) | m_main_v_state(s91, c_ready)),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[15006, 15005])).
% 5.07/3.84 tff(15008,plain,
% 5.07/3.84 ($false),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15007, 118, 15004, 15003])).
% 5.07/3.84 tff(15009,plain,(~node4(s91)), inference(lemma,lemma(discharge,[]))).
% 5.07/3.84 tff(15010,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(15011,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s91) | xuntil2p8(s91) | (~until2p7(s91)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(15012,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s91) | xuntil2p8(s91) | (~until2p7(s91))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[15011, 15010])).
% 5.07/3.84 tff(15013,plain,
% 5.07/3.84 (xuntil2p8(s91) | (~until2p7(s91))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15012, 12469, 15009])).
% 5.07/3.84 tff(15014,plain,
% 5.07/3.84 (~until2p7(s91)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15013, 14980])).
% 5.07/3.84 tff(15015,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(15016,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(15017,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s90, s91)) | until2p7(s91) | (~xuntil2p8(s90))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 5.07/3.84 tff(15018,plain,
% 5.07/3.84 (until2p7(s91) | (~xuntil2p8(s90))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15017, 6824, 12484])).
% 5.07/3.84 tff(15019,plain,
% 5.07/3.84 (~xuntil2p8(s90)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15018, 15014])).
% 5.07/3.84 tff(15020,plain,
% 5.07/3.84 (~always3(s91)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6808, 14969])).
% 5.07/3.84 tff(15021,plain,
% 5.07/3.84 (~always3(s90)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6832, 15020])).
% 5.07/3.84 tff(15022,plain,
% 5.07/3.84 (~node4(s90)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8149, 35, 15021])).
% 5.07/3.84 tff(15023,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(15024,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s90) | xuntil2p8(s90) | (~until2p7(s90)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(15025,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s90) | xuntil2p8(s90) | (~until2p7(s90))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[15024, 15023])).
% 5.07/3.84 tff(15026,plain,
% 5.07/3.84 (xuntil2p8(s90) | (~until2p7(s90))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15025, 12469, 15022])).
% 5.07/3.84 tff(15027,plain,
% 5.07/3.84 (~until2p7(s90)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15026, 15019])).
% 5.07/3.84 tff(15028,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(15029,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(15030,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s89, s90)) | until2p7(s90) | (~xuntil2p8(s89))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[15029, 15028])).
% 5.07/3.84 tff(15031,plain,
% 5.07/3.84 (until2p7(s90) | (~xuntil2p8(s89))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15030, 6836, 12484])).
% 5.07/3.84 tff(15032,plain,
% 5.07/3.84 (~xuntil2p8(s89)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15031, 15027])).
% 5.07/3.84 tff(15033,plain,
% 5.07/3.84 (~always3(s89)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6844, 15021])).
% 5.07/3.84 tff(15034,plain,
% 5.07/3.84 (~node4(s89)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[8162, 35, 15033])).
% 5.07/3.84 tff(15035,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(15036,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s89) | xuntil2p8(s89) | (~until2p7(s89)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(15037,plain,
% 5.07/3.84 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s89) | xuntil2p8(s89) | (~until2p7(s89))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 5.07/3.84 tff(15038,plain,
% 5.07/3.84 (xuntil2p8(s89) | (~until2p7(s89))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15037, 12469, 15034])).
% 5.07/3.84 tff(15039,plain,
% 5.07/3.84 (~until2p7(s89)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15038, 15032])).
% 5.07/3.84 tff(15040,plain,
% 5.07/3.84 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.84 tff(15041,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88)))),
% 5.07/3.84 inference(quant_inst,[status(thm)],[])).
% 5.07/3.84 tff(15042,plain,
% 5.07/3.84 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s88, s89)) | until2p7(s89) | (~xuntil2p8(s88))),
% 5.07/3.84 inference(modus_ponens,[status(thm)],[15041, 15040])).
% 5.07/3.84 tff(15043,plain,
% 5.07/3.84 (until2p7(s89) | (~xuntil2p8(s88))),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15042, 6848, 12484])).
% 5.07/3.84 tff(15044,plain,
% 5.07/3.84 (~xuntil2p8(s88)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[15043, 15039])).
% 5.07/3.84 tff(15045,plain,
% 5.07/3.84 (~always3(s88)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6856, 15033])).
% 5.07/3.84 tff(15046,plain,
% 5.07/3.84 (~node4(s88)),
% 5.07/3.84 inference(unit_resolution,[status(thm)],[6860, 35, 15045])).
% 5.07/3.84 tff(15047,plain,
% 5.07/3.84 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))),
% 5.07/3.84 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15048,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s88) | xuntil2p8(s88) | (~until2p7(s88)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15049,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s88) | xuntil2p8(s88) | (~until2p7(s88))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15048, 15047])).
% 5.07/3.85 tff(15050,plain,
% 5.07/3.85 (xuntil2p8(s88) | (~until2p7(s88))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15049, 12469, 15046])).
% 5.07/3.85 tff(15051,plain,
% 5.07/3.85 (~until2p7(s88)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15050, 15044])).
% 5.07/3.85 tff(15052,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15053,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15054,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s87, s88)) | until2p7(s88) | (~xuntil2p8(s87))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15053, 15052])).
% 5.07/3.85 tff(15055,plain,
% 5.07/3.85 (until2p7(s88) | (~xuntil2p8(s87))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15054, 6864, 12484])).
% 5.07/3.85 tff(15056,plain,
% 5.07/3.85 (~xuntil2p8(s87)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15055, 15051])).
% 5.07/3.85 tff(15057,plain,
% 5.07/3.85 (~always3(s87)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6872, 15045])).
% 5.07/3.85 tff(15058,plain,
% 5.07/3.85 (~node4(s87)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[8035, 35, 15057])).
% 5.07/3.85 tff(15059,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15060,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s87) | xuntil2p8(s87) | (~until2p7(s87)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15061,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s87) | xuntil2p8(s87) | (~until2p7(s87))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15060, 15059])).
% 5.07/3.85 tff(15062,plain,
% 5.07/3.85 (xuntil2p8(s87) | (~until2p7(s87))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15061, 12469, 15058])).
% 5.07/3.85 tff(15063,plain,
% 5.07/3.85 (~until2p7(s87)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15062, 15056])).
% 5.07/3.85 tff(15064,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15065,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15066,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s86, s87)) | until2p7(s87) | (~xuntil2p8(s86))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15065, 15064])).
% 5.07/3.85 tff(15067,plain,
% 5.07/3.85 (until2p7(s87) | (~xuntil2p8(s86))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15066, 6876, 12484])).
% 5.07/3.85 tff(15068,plain,
% 5.07/3.85 (~xuntil2p8(s86)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15067, 15063])).
% 5.07/3.85 tff(15069,plain,
% 5.07/3.85 (~always3(s86)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6884, 15057])).
% 5.07/3.85 tff(15070,plain,
% 5.07/3.85 (~node4(s86)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[8048, 35, 15069])).
% 5.07/3.85 tff(15071,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15072,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s86) | xuntil2p8(s86) | (~until2p7(s86)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15073,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s86) | xuntil2p8(s86) | (~until2p7(s86))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15072, 15071])).
% 5.07/3.85 tff(15074,plain,
% 5.07/3.85 (xuntil2p8(s86) | (~until2p7(s86))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15073, 12469, 15070])).
% 5.07/3.85 tff(15075,plain,
% 5.07/3.85 (~until2p7(s86)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15074, 15068])).
% 5.07/3.85 tff(15076,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15077,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15078,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s85, s86)) | until2p7(s86) | (~xuntil2p8(s85))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15077, 15076])).
% 5.07/3.85 tff(15079,plain,
% 5.07/3.85 (until2p7(s86) | (~xuntil2p8(s85))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15078, 6888, 12484])).
% 5.07/3.85 tff(15080,plain,
% 5.07/3.85 (~xuntil2p8(s85)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15079, 15075])).
% 5.07/3.85 tff(15081,plain,
% 5.07/3.85 (~always3(s85)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6896, 15069])).
% 5.07/3.85 tff(15082,plain,
% 5.07/3.85 (~node4(s85)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6900, 35, 15081])).
% 5.07/3.85 tff(15083,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15084,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s85) | xuntil2p8(s85) | (~until2p7(s85)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15085,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s85) | xuntil2p8(s85) | (~until2p7(s85))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15084, 15083])).
% 5.07/3.85 tff(15086,plain,
% 5.07/3.85 (xuntil2p8(s85) | (~until2p7(s85))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15085, 12469, 15082])).
% 5.07/3.85 tff(15087,plain,
% 5.07/3.85 (~until2p7(s85)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15086, 15080])).
% 5.07/3.85 tff(15088,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15089,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15090,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s84, s85)) | until2p7(s85) | (~xuntil2p8(s84))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15089, 15088])).
% 5.07/3.85 tff(15091,plain,
% 5.07/3.85 (until2p7(s85) | (~xuntil2p8(s84))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15090, 6904, 12484])).
% 5.07/3.85 tff(15092,plain,
% 5.07/3.85 (~xuntil2p8(s84)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15091, 15087])).
% 5.07/3.85 tff(15093,plain,
% 5.07/3.85 (~always3(s84)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6912, 15081])).
% 5.07/3.85 tff(15094,plain,
% 5.07/3.85 (~node4(s84)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[7861, 35, 15093])).
% 5.07/3.85 tff(15095,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15096,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s84) | xuntil2p8(s84) | (~until2p7(s84)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15097,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s84) | xuntil2p8(s84) | (~until2p7(s84))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15096, 15095])).
% 5.07/3.85 tff(15098,plain,
% 5.07/3.85 (xuntil2p8(s84) | (~until2p7(s84))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15097, 12469, 15094])).
% 5.07/3.85 tff(15099,plain,
% 5.07/3.85 (~until2p7(s84)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15098, 15092])).
% 5.07/3.85 tff(15100,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15101,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15102,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s83, s84)) | until2p7(s84) | (~xuntil2p8(s83))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15101, 15100])).
% 5.07/3.85 tff(15103,plain,
% 5.07/3.85 (until2p7(s84) | (~xuntil2p8(s83))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15102, 6916, 12484])).
% 5.07/3.85 tff(15104,plain,
% 5.07/3.85 (~xuntil2p8(s83)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15103, 15099])).
% 5.07/3.85 tff(15105,plain,
% 5.07/3.85 (~always3(s83)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6924, 15093])).
% 5.07/3.85 tff(15106,plain,
% 5.07/3.85 (~node4(s83)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[7857, 35, 15105])).
% 5.07/3.85 tff(15107,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15108,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s83) | xuntil2p8(s83) | (~until2p7(s83)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15109,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s83) | xuntil2p8(s83) | (~until2p7(s83))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15108, 15107])).
% 5.07/3.85 tff(15110,plain,
% 5.07/3.85 (xuntil2p8(s83) | (~until2p7(s83))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15109, 12469, 15106])).
% 5.07/3.85 tff(15111,plain,
% 5.07/3.85 (~until2p7(s83)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15110, 15104])).
% 5.07/3.85 tff(15112,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15113,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15114,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s82, s83)) | until2p7(s83) | (~xuntil2p8(s82))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 5.07/3.85 tff(15115,plain,
% 5.07/3.85 (until2p7(s83) | (~xuntil2p8(s82))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15114, 6928, 12484])).
% 5.07/3.85 tff(15116,plain,
% 5.07/3.85 (~xuntil2p8(s82)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15115, 15111])).
% 5.07/3.85 tff(15117,assumption,(node4(s82)), introduced(assumption)).
% 5.07/3.85 tff(15118,plain,
% 5.07/3.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s82) | (~node4(s82)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s82) | (~node4(s82)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15119,plain,
% 5.07/3.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s82) | (~node4(s82)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15120,plain,
% 5.07/3.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s82) | (~node4(s82))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15119, 15118])).
% 5.07/3.85 tff(15121,plain,
% 5.07/3.85 (m_main_v_request(s82)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15120, 17, 15117])).
% 5.07/3.85 tff(15122,plain,
% 5.07/3.85 (always3(s82)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[7892, 35, 15117])).
% 5.07/3.85 tff(15123,plain,
% 5.07/3.85 (always3(s83)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6936, 15122])).
% 5.07/3.85 tff(15124,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s83)) | (~m_main_v_state(s83, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15125,plain,
% 5.07/3.85 (((~m_main_v_state(s83, c_busy)) | (~always3(s83))) <=> ((~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15126,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s83)) | (~m_main_v_state(s83, c_busy))))),
% 5.07/3.85 inference(monotonicity,[status(thm)],[15125])).
% 5.07/3.85 tff(15127,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy)))),
% 5.07/3.85 inference(transitivity,[status(thm)],[15126, 15124])).
% 5.07/3.85 tff(15128,plain,
% 5.07/3.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s83, c_busy)) | (~always3(s83)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15129,plain,
% 5.07/3.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s83)) | (~m_main_v_state(s83, c_busy))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15128, 15127])).
% 5.07/3.85 tff(15130,plain,
% 5.07/3.85 (~m_main_v_state(s83, c_busy)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15129, 75, 15123])).
% 5.07/3.85 tff(15131,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s82, s83)) | node2(s82, s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s82, s83)) | node2(s82, s83))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15132,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s82, s83)) | node2(s82, s83))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15133,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s82, s83)) | node2(s82, s83)),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15132, 15131])).
% 5.07/3.85 tff(15134,plain,
% 5.07/3.85 (node2(s82, s83)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15133, 7, 6932])).
% 5.07/3.85 tff(15135,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15136,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15137,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s82, c_ready)) | (~node2(s82, s83)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15136, 15135])).
% 5.07/3.85 tff(15138,plain,
% 5.07/3.85 ((~m_main_v_state(s82, c_ready)) | m_main_v_state(s83, c_busy) | (~m_main_v_request(s82))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15137, 96, 15134])).
% 5.07/3.85 tff(15139,plain,
% 5.07/3.85 (~m_main_v_state(s82, c_ready)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15138, 15130, 15121])).
% 5.07/3.85 tff(15140,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s82)) | (~m_main_v_state(s82, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15141,plain,
% 5.07/3.85 (((~m_main_v_state(s82, c_busy)) | (~always3(s82))) <=> ((~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15142,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s82)) | (~m_main_v_state(s82, c_busy))))),
% 5.07/3.85 inference(monotonicity,[status(thm)],[15141])).
% 5.07/3.85 tff(15143,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy)))),
% 5.07/3.85 inference(transitivity,[status(thm)],[15142, 15140])).
% 5.07/3.85 tff(15144,plain,
% 5.07/3.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s82, c_busy)) | (~always3(s82)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15145,plain,
% 5.07/3.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s82)) | (~m_main_v_state(s82, c_busy))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15144, 15143])).
% 5.07/3.85 tff(15146,plain,
% 5.07/3.85 (~m_main_v_state(s82, c_busy)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15145, 75, 15122])).
% 5.07/3.85 tff(15147,plain,
% 5.07/3.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15148,plain,
% 5.07/3.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15149,plain,
% 5.07/3.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s82, c_busy) | m_main_v_state(s82, c_ready)),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15148, 15147])).
% 5.07/3.85 tff(15150,plain,
% 5.07/3.85 ($false),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15149, 118, 15146, 15139])).
% 5.07/3.85 tff(15151,plain,(~node4(s82)), inference(lemma,lemma(discharge,[]))).
% 5.07/3.85 tff(15152,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15153,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s82) | xuntil2p8(s82) | (~until2p7(s82)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15154,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s82) | xuntil2p8(s82) | (~until2p7(s82))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15153, 15152])).
% 5.07/3.85 tff(15155,plain,
% 5.07/3.85 (xuntil2p8(s82) | (~until2p7(s82))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15154, 12469, 15151])).
% 5.07/3.85 tff(15156,plain,
% 5.07/3.85 (~until2p7(s82)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15155, 15116])).
% 5.07/3.85 tff(15157,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15158,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15159,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s81, s82)) | until2p7(s82) | (~xuntil2p8(s81))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15158, 15157])).
% 5.07/3.85 tff(15160,plain,
% 5.07/3.85 (until2p7(s82) | (~xuntil2p8(s81))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15159, 6940, 12484])).
% 5.07/3.85 tff(15161,plain,
% 5.07/3.85 (~xuntil2p8(s81)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15160, 15156])).
% 5.07/3.85 tff(15162,plain,
% 5.07/3.85 (~always3(s82)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6936, 15105])).
% 5.07/3.85 tff(15163,plain,
% 5.07/3.85 (~always3(s81)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6948, 15162])).
% 5.07/3.85 tff(15164,plain,
% 5.07/3.85 (~node4(s81)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[7910, 35, 15163])).
% 5.07/3.85 tff(15165,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15166,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s81) | xuntil2p8(s81) | (~until2p7(s81)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15167,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s81) | xuntil2p8(s81) | (~until2p7(s81))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15166, 15165])).
% 5.07/3.85 tff(15168,plain,
% 5.07/3.85 (xuntil2p8(s81) | (~until2p7(s81))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15167, 12469, 15164])).
% 5.07/3.85 tff(15169,plain,
% 5.07/3.85 (~until2p7(s81)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15168, 15161])).
% 5.07/3.85 tff(15170,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15171,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15172,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s80, s81)) | until2p7(s81) | (~xuntil2p8(s80))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15171, 15170])).
% 5.07/3.85 tff(15173,plain,
% 5.07/3.85 (until2p7(s81) | (~xuntil2p8(s80))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15172, 6952, 12484])).
% 5.07/3.85 tff(15174,plain,
% 5.07/3.85 (~xuntil2p8(s80)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15173, 15169])).
% 5.07/3.85 tff(15175,assumption,(node4(s80)), introduced(assumption)).
% 5.07/3.85 tff(15176,plain,
% 5.07/3.85 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s80) | (~node4(s80)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s80) | (~node4(s80)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15177,plain,
% 5.07/3.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s80) | (~node4(s80)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15178,plain,
% 5.07/3.85 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s80) | (~node4(s80))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15177, 15176])).
% 5.07/3.85 tff(15179,plain,
% 5.07/3.85 (m_main_v_request(s80)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15178, 17, 15175])).
% 5.07/3.85 tff(15180,plain,
% 5.07/3.85 (always3(s80)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[8000, 35, 15175])).
% 5.07/3.85 tff(15181,plain,
% 5.07/3.85 (always3(s81)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6960, 15180])).
% 5.07/3.85 tff(15182,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s81)) | (~m_main_v_state(s81, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15183,plain,
% 5.07/3.85 (((~m_main_v_state(s81, c_busy)) | (~always3(s81))) <=> ((~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15184,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s81)) | (~m_main_v_state(s81, c_busy))))),
% 5.07/3.85 inference(monotonicity,[status(thm)],[15183])).
% 5.07/3.85 tff(15185,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy)))),
% 5.07/3.85 inference(transitivity,[status(thm)],[15184, 15182])).
% 5.07/3.85 tff(15186,plain,
% 5.07/3.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s81, c_busy)) | (~always3(s81)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15187,plain,
% 5.07/3.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s81)) | (~m_main_v_state(s81, c_busy))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15186, 15185])).
% 5.07/3.85 tff(15188,plain,
% 5.07/3.85 (~m_main_v_state(s81, c_busy)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15187, 75, 15181])).
% 5.07/3.85 tff(15189,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s80, s81)) | node2(s80, s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s80, s81)) | node2(s80, s81))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15190,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s80, s81)) | node2(s80, s81))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15191,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s80, s81)) | node2(s80, s81)),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15190, 15189])).
% 5.07/3.85 tff(15192,plain,
% 5.07/3.85 (node2(s80, s81)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15191, 7, 6956])).
% 5.07/3.85 tff(15193,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15194,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15195,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s80, c_ready)) | (~node2(s80, s81)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15194, 15193])).
% 5.07/3.85 tff(15196,plain,
% 5.07/3.85 ((~m_main_v_state(s80, c_ready)) | m_main_v_state(s81, c_busy) | (~m_main_v_request(s80))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15195, 96, 15192])).
% 5.07/3.85 tff(15197,plain,
% 5.07/3.85 (~m_main_v_state(s80, c_ready)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15196, 15188, 15179])).
% 5.07/3.85 tff(15198,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s80)) | (~m_main_v_state(s80, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15199,plain,
% 5.07/3.85 (((~m_main_v_state(s80, c_busy)) | (~always3(s80))) <=> ((~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15200,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s80)) | (~m_main_v_state(s80, c_busy))))),
% 5.07/3.85 inference(monotonicity,[status(thm)],[15199])).
% 5.07/3.85 tff(15201,plain,
% 5.07/3.85 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy)))),
% 5.07/3.85 inference(transitivity,[status(thm)],[15200, 15198])).
% 5.07/3.85 tff(15202,plain,
% 5.07/3.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s80, c_busy)) | (~always3(s80)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15203,plain,
% 5.07/3.85 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s80)) | (~m_main_v_state(s80, c_busy))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15202, 15201])).
% 5.07/3.85 tff(15204,plain,
% 5.07/3.85 (~m_main_v_state(s80, c_busy)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15203, 75, 15180])).
% 5.07/3.85 tff(15205,plain,
% 5.07/3.85 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15206,plain,
% 5.07/3.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15207,plain,
% 5.07/3.85 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s80, c_busy) | m_main_v_state(s80, c_ready)),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15206, 15205])).
% 5.07/3.85 tff(15208,plain,
% 5.07/3.85 ($false),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15207, 118, 15204, 15197])).
% 5.07/3.85 tff(15209,plain,(~node4(s80)), inference(lemma,lemma(discharge,[]))).
% 5.07/3.85 tff(15210,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15211,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s80) | xuntil2p8(s80) | (~until2p7(s80)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15212,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s80) | xuntil2p8(s80) | (~until2p7(s80))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15211, 15210])).
% 5.07/3.85 tff(15213,plain,
% 5.07/3.85 (xuntil2p8(s80) | (~until2p7(s80))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15212, 12469, 15209])).
% 5.07/3.85 tff(15214,plain,
% 5.07/3.85 (~until2p7(s80)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15213, 15174])).
% 5.07/3.85 tff(15215,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15216,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15217,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s79, s80)) | until2p7(s80) | (~xuntil2p8(s79))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15216, 15215])).
% 5.07/3.85 tff(15218,plain,
% 5.07/3.85 (until2p7(s80) | (~xuntil2p8(s79))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15217, 6964, 12484])).
% 5.07/3.85 tff(15219,plain,
% 5.07/3.85 (~xuntil2p8(s79)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15218, 15214])).
% 5.07/3.85 tff(15220,plain,
% 5.07/3.85 (~always3(s80)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6960, 15163])).
% 5.07/3.85 tff(15221,plain,
% 5.07/3.85 (~always3(s79)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6972, 15220])).
% 5.07/3.85 tff(15222,plain,
% 5.07/3.85 (~node4(s79)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[7983, 35, 15221])).
% 5.07/3.85 tff(15223,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15224,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s79) | xuntil2p8(s79) | (~until2p7(s79)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15225,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s79) | xuntil2p8(s79) | (~until2p7(s79))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15224, 15223])).
% 5.07/3.85 tff(15226,plain,
% 5.07/3.85 (xuntil2p8(s79) | (~until2p7(s79))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15225, 12469, 15222])).
% 5.07/3.85 tff(15227,plain,
% 5.07/3.85 (~until2p7(s79)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15226, 15219])).
% 5.07/3.85 tff(15228,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15229,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15230,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s78, s79)) | until2p7(s79) | (~xuntil2p8(s78))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15229, 15228])).
% 5.07/3.85 tff(15231,plain,
% 5.07/3.85 (until2p7(s79) | (~xuntil2p8(s78))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15230, 6976, 12484])).
% 5.07/3.85 tff(15232,plain,
% 5.07/3.85 (~xuntil2p8(s78)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15231, 15227])).
% 5.07/3.85 tff(15233,plain,
% 5.07/3.85 (~always3(s78)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6984, 15221])).
% 5.07/3.85 tff(15234,plain,
% 5.07/3.85 (~node4(s78)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[7966, 35, 15233])).
% 5.07/3.85 tff(15235,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15236,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s78) | xuntil2p8(s78) | (~until2p7(s78)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15237,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s78) | xuntil2p8(s78) | (~until2p7(s78))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15236, 15235])).
% 5.07/3.85 tff(15238,plain,
% 5.07/3.85 (xuntil2p8(s78) | (~until2p7(s78))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15237, 12469, 15234])).
% 5.07/3.85 tff(15239,plain,
% 5.07/3.85 (~until2p7(s78)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15238, 15232])).
% 5.07/3.85 tff(15240,plain,
% 5.07/3.85 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15241,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77)))),
% 5.07/3.85 inference(quant_inst,[status(thm)],[])).
% 5.07/3.85 tff(15242,plain,
% 5.07/3.85 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s77, s78)) | until2p7(s78) | (~xuntil2p8(s77))),
% 5.07/3.85 inference(modus_ponens,[status(thm)],[15241, 15240])).
% 5.07/3.85 tff(15243,plain,
% 5.07/3.85 (until2p7(s78) | (~xuntil2p8(s77))),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15242, 6988, 12484])).
% 5.07/3.85 tff(15244,plain,
% 5.07/3.85 (~xuntil2p8(s77)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[15243, 15239])).
% 5.07/3.85 tff(15245,plain,
% 5.07/3.85 (~always3(s77)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[6996, 15233])).
% 5.07/3.85 tff(15246,plain,
% 5.07/3.85 (~node4(s77)),
% 5.07/3.85 inference(unit_resolution,[status(thm)],[7931, 35, 15245])).
% 5.07/3.85 tff(15247,plain,
% 5.07/3.85 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))),
% 5.07/3.85 inference(rewrite,[status(thm)],[])).
% 5.07/3.85 tff(15248,plain,
% 5.07/3.85 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s77) | xuntil2p8(s77) | (~until2p7(s77)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15249,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s77) | xuntil2p8(s77) | (~until2p7(s77))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15248, 15247])).
% 5.07/3.86 tff(15250,plain,
% 5.07/3.86 (xuntil2p8(s77) | (~until2p7(s77))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15249, 12469, 15246])).
% 5.07/3.86 tff(15251,plain,
% 5.07/3.86 (~until2p7(s77)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15250, 15244])).
% 5.07/3.86 tff(15252,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15253,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15254,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s76, s77)) | until2p7(s77) | (~xuntil2p8(s76))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15253, 15252])).
% 5.07/3.86 tff(15255,plain,
% 5.07/3.86 (until2p7(s77) | (~xuntil2p8(s76))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15254, 7000, 12484])).
% 5.07/3.86 tff(15256,plain,
% 5.07/3.86 (~xuntil2p8(s76)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15255, 15251])).
% 5.07/3.86 tff(15257,assumption,(node4(s76)), introduced(assumption)).
% 5.07/3.86 tff(15258,plain,
% 5.07/3.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s76) | (~node4(s76)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s76) | (~node4(s76)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15259,plain,
% 5.07/3.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s76) | (~node4(s76)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15260,plain,
% 5.07/3.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s76) | (~node4(s76))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15259, 15258])).
% 5.07/3.86 tff(15261,plain,
% 5.07/3.86 (m_main_v_request(s76)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15260, 17, 15257])).
% 5.07/3.86 tff(15262,plain,
% 5.07/3.86 (always3(s76)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7936, 35, 15257])).
% 5.07/3.86 tff(15263,plain,
% 5.07/3.86 (always3(s77)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7008, 15262])).
% 5.07/3.86 tff(15264,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s77)) | (~m_main_v_state(s77, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15265,plain,
% 5.07/3.86 (((~m_main_v_state(s77, c_busy)) | (~always3(s77))) <=> ((~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15266,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s77)) | (~m_main_v_state(s77, c_busy))))),
% 5.07/3.86 inference(monotonicity,[status(thm)],[15265])).
% 5.07/3.86 tff(15267,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy)))),
% 5.07/3.86 inference(transitivity,[status(thm)],[15266, 15264])).
% 5.07/3.86 tff(15268,plain,
% 5.07/3.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s77, c_busy)) | (~always3(s77)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15269,plain,
% 5.07/3.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s77)) | (~m_main_v_state(s77, c_busy))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15268, 15267])).
% 5.07/3.86 tff(15270,plain,
% 5.07/3.86 (~m_main_v_state(s77, c_busy)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15269, 75, 15263])).
% 5.07/3.86 tff(15271,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s76, s77)) | node2(s76, s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s76, s77)) | node2(s76, s77))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15272,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s76, s77)) | node2(s76, s77))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15273,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s76, s77)) | node2(s76, s77)),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15272, 15271])).
% 5.07/3.86 tff(15274,plain,
% 5.07/3.86 (node2(s76, s77)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15273, 7, 7004])).
% 5.07/3.86 tff(15275,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15276,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15277,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s76, c_ready)) | (~node2(s76, s77)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15276, 15275])).
% 5.07/3.86 tff(15278,plain,
% 5.07/3.86 ((~m_main_v_state(s76, c_ready)) | m_main_v_state(s77, c_busy) | (~m_main_v_request(s76))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15277, 96, 15274])).
% 5.07/3.86 tff(15279,plain,
% 5.07/3.86 (~m_main_v_state(s76, c_ready)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15278, 15270, 15261])).
% 5.07/3.86 tff(15280,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s76)) | (~m_main_v_state(s76, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15281,plain,
% 5.07/3.86 (((~m_main_v_state(s76, c_busy)) | (~always3(s76))) <=> ((~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15282,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s76)) | (~m_main_v_state(s76, c_busy))))),
% 5.07/3.86 inference(monotonicity,[status(thm)],[15281])).
% 5.07/3.86 tff(15283,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy)))),
% 5.07/3.86 inference(transitivity,[status(thm)],[15282, 15280])).
% 5.07/3.86 tff(15284,plain,
% 5.07/3.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s76, c_busy)) | (~always3(s76)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15285,plain,
% 5.07/3.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s76)) | (~m_main_v_state(s76, c_busy))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15284, 15283])).
% 5.07/3.86 tff(15286,plain,
% 5.07/3.86 (~m_main_v_state(s76, c_busy)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15285, 75, 15262])).
% 5.07/3.86 tff(15287,plain,
% 5.07/3.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15288,plain,
% 5.07/3.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15289,plain,
% 5.07/3.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s76, c_busy) | m_main_v_state(s76, c_ready)),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15288, 15287])).
% 5.07/3.86 tff(15290,plain,
% 5.07/3.86 ($false),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15289, 118, 15286, 15279])).
% 5.07/3.86 tff(15291,plain,(~node4(s76)), inference(lemma,lemma(discharge,[]))).
% 5.07/3.86 tff(15292,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15293,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s76) | xuntil2p8(s76) | (~until2p7(s76)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15294,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s76) | xuntil2p8(s76) | (~until2p7(s76))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15293, 15292])).
% 5.07/3.86 tff(15295,plain,
% 5.07/3.86 (xuntil2p8(s76) | (~until2p7(s76))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15294, 12469, 15291])).
% 5.07/3.86 tff(15296,plain,
% 5.07/3.86 (~until2p7(s76)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15295, 15256])).
% 5.07/3.86 tff(15297,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15298,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15299,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s75, s76)) | until2p7(s76) | (~xuntil2p8(s75))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15298, 15297])).
% 5.07/3.86 tff(15300,plain,
% 5.07/3.86 (until2p7(s76) | (~xuntil2p8(s75))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15299, 7012, 12484])).
% 5.07/3.86 tff(15301,plain,
% 5.07/3.86 (~xuntil2p8(s75)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15300, 15296])).
% 5.07/3.86 tff(15302,plain,
% 5.07/3.86 (~always3(s76)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7008, 15245])).
% 5.07/3.86 tff(15303,plain,
% 5.07/3.86 (~always3(s75)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7020, 15302])).
% 5.07/3.86 tff(15304,plain,
% 5.07/3.86 (~node4(s75)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7289, 35, 15303])).
% 5.07/3.86 tff(15305,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15306,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s75) | xuntil2p8(s75) | (~until2p7(s75)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15307,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s75) | xuntil2p8(s75) | (~until2p7(s75))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15306, 15305])).
% 5.07/3.86 tff(15308,plain,
% 5.07/3.86 (xuntil2p8(s75) | (~until2p7(s75))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15307, 12469, 15304])).
% 5.07/3.86 tff(15309,plain,
% 5.07/3.86 (~until2p7(s75)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15308, 15301])).
% 5.07/3.86 tff(15310,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15311,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15312,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s74, s75)) | until2p7(s75) | (~xuntil2p8(s74))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15311, 15310])).
% 5.07/3.86 tff(15313,plain,
% 5.07/3.86 (until2p7(s75) | (~xuntil2p8(s74))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15312, 7025, 12484])).
% 5.07/3.86 tff(15314,plain,
% 5.07/3.86 (~xuntil2p8(s74)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15313, 15309])).
% 5.07/3.86 tff(15315,plain,
% 5.07/3.86 (~always3(s74)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7033, 15303])).
% 5.07/3.86 tff(15316,plain,
% 5.07/3.86 (~node4(s74)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7285, 35, 15315])).
% 5.07/3.86 tff(15317,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15318,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s74) | xuntil2p8(s74) | (~until2p7(s74)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15319,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s74) | xuntil2p8(s74) | (~until2p7(s74))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15318, 15317])).
% 5.07/3.86 tff(15320,plain,
% 5.07/3.86 (xuntil2p8(s74) | (~until2p7(s74))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15319, 12469, 15316])).
% 5.07/3.86 tff(15321,plain,
% 5.07/3.86 (~until2p7(s74)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15320, 15314])).
% 5.07/3.86 tff(15322,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15323,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15324,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s73, s74)) | until2p7(s74) | (~xuntil2p8(s73))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15323, 15322])).
% 5.07/3.86 tff(15325,plain,
% 5.07/3.86 (until2p7(s74) | (~xuntil2p8(s73))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15324, 7037, 12484])).
% 5.07/3.86 tff(15326,plain,
% 5.07/3.86 (~xuntil2p8(s73)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15325, 15321])).
% 5.07/3.86 tff(15327,plain,
% 5.07/3.86 (~always3(s73)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7045, 15315])).
% 5.07/3.86 tff(15328,plain,
% 5.07/3.86 (~node4(s73)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7319, 35, 15327])).
% 5.07/3.86 tff(15329,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15330,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s73) | xuntil2p8(s73) | (~until2p7(s73)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15331,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s73) | xuntil2p8(s73) | (~until2p7(s73))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15330, 15329])).
% 5.07/3.86 tff(15332,plain,
% 5.07/3.86 (xuntil2p8(s73) | (~until2p7(s73))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15331, 12469, 15328])).
% 5.07/3.86 tff(15333,plain,
% 5.07/3.86 (~until2p7(s73)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15332, 15326])).
% 5.07/3.86 tff(15334,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15335,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15336,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s72, s73)) | until2p7(s73) | (~xuntil2p8(s72))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15335, 15334])).
% 5.07/3.86 tff(15337,plain,
% 5.07/3.86 (until2p7(s73) | (~xuntil2p8(s72))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15336, 7049, 12484])).
% 5.07/3.86 tff(15338,plain,
% 5.07/3.86 (~xuntil2p8(s72)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15337, 15333])).
% 5.07/3.86 tff(15339,plain,
% 5.07/3.86 (~always3(s72)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7057, 15327])).
% 5.07/3.86 tff(15340,plain,
% 5.07/3.86 (~node4(s72)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7336, 35, 15339])).
% 5.07/3.86 tff(15341,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15342,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s72) | xuntil2p8(s72) | (~until2p7(s72)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15343,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s72) | xuntil2p8(s72) | (~until2p7(s72))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15342, 15341])).
% 5.07/3.86 tff(15344,plain,
% 5.07/3.86 (xuntil2p8(s72) | (~until2p7(s72))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15343, 12469, 15340])).
% 5.07/3.86 tff(15345,plain,
% 5.07/3.86 (~until2p7(s72)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15344, 15338])).
% 5.07/3.86 tff(15346,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15347,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15348,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s71, s72)) | until2p7(s72) | (~xuntil2p8(s71))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 5.07/3.86 tff(15349,plain,
% 5.07/3.86 (until2p7(s72) | (~xuntil2p8(s71))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15348, 7061, 12484])).
% 5.07/3.86 tff(15350,plain,
% 5.07/3.86 (~xuntil2p8(s71)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15349, 15345])).
% 5.07/3.86 tff(15351,plain,
% 5.07/3.86 (~always3(s71)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7069, 15339])).
% 5.07/3.86 tff(15352,plain,
% 5.07/3.86 (~node4(s71)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7353, 35, 15351])).
% 5.07/3.86 tff(15353,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15354,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s71) | xuntil2p8(s71) | (~until2p7(s71)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15355,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s71) | xuntil2p8(s71) | (~until2p7(s71))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15354, 15353])).
% 5.07/3.86 tff(15356,plain,
% 5.07/3.86 (xuntil2p8(s71) | (~until2p7(s71))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15355, 12469, 15352])).
% 5.07/3.86 tff(15357,plain,
% 5.07/3.86 (~until2p7(s71)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15356, 15350])).
% 5.07/3.86 tff(15358,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15359,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15360,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s70, s71)) | until2p7(s71) | (~xuntil2p8(s70))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15359, 15358])).
% 5.07/3.86 tff(15361,plain,
% 5.07/3.86 (until2p7(s71) | (~xuntil2p8(s70))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15360, 7073, 12484])).
% 5.07/3.86 tff(15362,plain,
% 5.07/3.86 (~xuntil2p8(s70)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15361, 15357])).
% 5.07/3.86 tff(15363,assumption,(node4(s70)), introduced(assumption)).
% 5.07/3.86 tff(15364,plain,
% 5.07/3.86 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s70) | (~node4(s70)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s70) | (~node4(s70)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15365,plain,
% 5.07/3.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s70) | (~node4(s70)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15366,plain,
% 5.07/3.86 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s70) | (~node4(s70))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15365, 15364])).
% 5.07/3.86 tff(15367,plain,
% 5.07/3.86 (m_main_v_request(s70)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15366, 17, 15363])).
% 5.07/3.86 tff(15368,plain,
% 5.07/3.86 (always3(s70)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7370, 35, 15363])).
% 5.07/3.86 tff(15369,plain,
% 5.07/3.86 (always3(s71)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7081, 15368])).
% 5.07/3.86 tff(15370,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s71)) | (~m_main_v_state(s71, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15371,plain,
% 5.07/3.86 (((~m_main_v_state(s71, c_busy)) | (~always3(s71))) <=> ((~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15372,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s71)) | (~m_main_v_state(s71, c_busy))))),
% 5.07/3.86 inference(monotonicity,[status(thm)],[15371])).
% 5.07/3.86 tff(15373,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy)))),
% 5.07/3.86 inference(transitivity,[status(thm)],[15372, 15370])).
% 5.07/3.86 tff(15374,plain,
% 5.07/3.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s71, c_busy)) | (~always3(s71)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15375,plain,
% 5.07/3.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s71)) | (~m_main_v_state(s71, c_busy))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15374, 15373])).
% 5.07/3.86 tff(15376,plain,
% 5.07/3.86 (~m_main_v_state(s71, c_busy)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15375, 75, 15369])).
% 5.07/3.86 tff(15377,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s70, s71)) | node2(s70, s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s70, s71)) | node2(s70, s71))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15378,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s70, s71)) | node2(s70, s71))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15379,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s70, s71)) | node2(s70, s71)),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15378, 15377])).
% 5.07/3.86 tff(15380,plain,
% 5.07/3.86 (node2(s70, s71)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15379, 7, 7077])).
% 5.07/3.86 tff(15381,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15382,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15383,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s70, c_ready)) | (~node2(s70, s71)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15382, 15381])).
% 5.07/3.86 tff(15384,plain,
% 5.07/3.86 ((~m_main_v_state(s70, c_ready)) | m_main_v_state(s71, c_busy) | (~m_main_v_request(s70))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15383, 96, 15380])).
% 5.07/3.86 tff(15385,plain,
% 5.07/3.86 (~m_main_v_state(s70, c_ready)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15384, 15376, 15367])).
% 5.07/3.86 tff(15386,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s70)) | (~m_main_v_state(s70, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15387,plain,
% 5.07/3.86 (((~m_main_v_state(s70, c_busy)) | (~always3(s70))) <=> ((~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15388,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s70)) | (~m_main_v_state(s70, c_busy))))),
% 5.07/3.86 inference(monotonicity,[status(thm)],[15387])).
% 5.07/3.86 tff(15389,plain,
% 5.07/3.86 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy)))),
% 5.07/3.86 inference(transitivity,[status(thm)],[15388, 15386])).
% 5.07/3.86 tff(15390,plain,
% 5.07/3.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s70, c_busy)) | (~always3(s70)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15391,plain,
% 5.07/3.86 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s70)) | (~m_main_v_state(s70, c_busy))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15390, 15389])).
% 5.07/3.86 tff(15392,plain,
% 5.07/3.86 (~m_main_v_state(s70, c_busy)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15391, 75, 15368])).
% 5.07/3.86 tff(15393,plain,
% 5.07/3.86 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15394,plain,
% 5.07/3.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15395,plain,
% 5.07/3.86 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s70, c_busy) | m_main_v_state(s70, c_ready)),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15394, 15393])).
% 5.07/3.86 tff(15396,plain,
% 5.07/3.86 ($false),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15395, 118, 15392, 15385])).
% 5.07/3.86 tff(15397,plain,(~node4(s70)), inference(lemma,lemma(discharge,[]))).
% 5.07/3.86 tff(15398,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15399,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s70) | xuntil2p8(s70) | (~until2p7(s70)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15400,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s70) | xuntil2p8(s70) | (~until2p7(s70))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15399, 15398])).
% 5.07/3.86 tff(15401,plain,
% 5.07/3.86 (xuntil2p8(s70) | (~until2p7(s70))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15400, 12469, 15397])).
% 5.07/3.86 tff(15402,plain,
% 5.07/3.86 (~until2p7(s70)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15401, 15362])).
% 5.07/3.86 tff(15403,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15404,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15405,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s69, s70)) | until2p7(s70) | (~xuntil2p8(s69))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15404, 15403])).
% 5.07/3.86 tff(15406,plain,
% 5.07/3.86 (until2p7(s70) | (~xuntil2p8(s69))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15405, 7085, 12484])).
% 5.07/3.86 tff(15407,plain,
% 5.07/3.86 (~xuntil2p8(s69)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15406, 15402])).
% 5.07/3.86 tff(15408,plain,
% 5.07/3.86 (~always3(s70)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7081, 15351])).
% 5.07/3.86 tff(15409,plain,
% 5.07/3.86 (~always3(s69)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7093, 15408])).
% 5.07/3.86 tff(15410,plain,
% 5.07/3.86 (~node4(s69)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7387, 35, 15409])).
% 5.07/3.86 tff(15411,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15412,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s69) | xuntil2p8(s69) | (~until2p7(s69)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15413,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s69) | xuntil2p8(s69) | (~until2p7(s69))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15412, 15411])).
% 5.07/3.86 tff(15414,plain,
% 5.07/3.86 (xuntil2p8(s69) | (~until2p7(s69))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15413, 12469, 15410])).
% 5.07/3.86 tff(15415,plain,
% 5.07/3.86 (~until2p7(s69)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15414, 15407])).
% 5.07/3.86 tff(15416,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15417,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15418,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s68, s69)) | until2p7(s69) | (~xuntil2p8(s68))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15417, 15416])).
% 5.07/3.86 tff(15419,plain,
% 5.07/3.86 (until2p7(s69) | (~xuntil2p8(s68))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15418, 7097, 12484])).
% 5.07/3.86 tff(15420,plain,
% 5.07/3.86 (~xuntil2p8(s68)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15419, 15415])).
% 5.07/3.86 tff(15421,plain,
% 5.07/3.86 (~always3(s68)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7105, 15409])).
% 5.07/3.86 tff(15422,plain,
% 5.07/3.86 (~node4(s68)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7404, 35, 15421])).
% 5.07/3.86 tff(15423,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15424,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s68) | xuntil2p8(s68) | (~until2p7(s68)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15425,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s68) | xuntil2p8(s68) | (~until2p7(s68))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15424, 15423])).
% 5.07/3.86 tff(15426,plain,
% 5.07/3.86 (xuntil2p8(s68) | (~until2p7(s68))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15425, 12469, 15422])).
% 5.07/3.86 tff(15427,plain,
% 5.07/3.86 (~until2p7(s68)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15426, 15420])).
% 5.07/3.86 tff(15428,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15429,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15430,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s67, s68)) | until2p7(s68) | (~xuntil2p8(s67))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15429, 15428])).
% 5.07/3.86 tff(15431,plain,
% 5.07/3.86 (until2p7(s68) | (~xuntil2p8(s67))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15430, 7109, 12484])).
% 5.07/3.86 tff(15432,plain,
% 5.07/3.86 (~xuntil2p8(s67)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15431, 15427])).
% 5.07/3.86 tff(15433,plain,
% 5.07/3.86 (~always3(s67)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7117, 15421])).
% 5.07/3.86 tff(15434,plain,
% 5.07/3.86 (~node4(s67)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7421, 35, 15433])).
% 5.07/3.86 tff(15435,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15436,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s67) | xuntil2p8(s67) | (~until2p7(s67)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15437,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s67) | xuntil2p8(s67) | (~until2p7(s67))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15436, 15435])).
% 5.07/3.86 tff(15438,plain,
% 5.07/3.86 (xuntil2p8(s67) | (~until2p7(s67))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15437, 12469, 15434])).
% 5.07/3.86 tff(15439,plain,
% 5.07/3.86 (~until2p7(s67)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15438, 15432])).
% 5.07/3.86 tff(15440,plain,
% 5.07/3.86 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15441,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15442,plain,
% 5.07/3.86 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s66, s67)) | until2p7(s67) | (~xuntil2p8(s66))),
% 5.07/3.86 inference(modus_ponens,[status(thm)],[15441, 15440])).
% 5.07/3.86 tff(15443,plain,
% 5.07/3.86 (until2p7(s67) | (~xuntil2p8(s66))),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15442, 7121, 12484])).
% 5.07/3.86 tff(15444,plain,
% 5.07/3.86 (~xuntil2p8(s66)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[15443, 15439])).
% 5.07/3.86 tff(15445,plain,
% 5.07/3.86 (~always3(s66)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7129, 15433])).
% 5.07/3.86 tff(15446,plain,
% 5.07/3.86 (~node4(s66)),
% 5.07/3.86 inference(unit_resolution,[status(thm)],[7438, 35, 15445])).
% 5.07/3.86 tff(15447,plain,
% 5.07/3.86 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))),
% 5.07/3.86 inference(rewrite,[status(thm)],[])).
% 5.07/3.86 tff(15448,plain,
% 5.07/3.86 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s66) | xuntil2p8(s66) | (~until2p7(s66)))),
% 5.07/3.86 inference(quant_inst,[status(thm)],[])).
% 5.07/3.86 tff(15449,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s66) | xuntil2p8(s66) | (~until2p7(s66))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15448, 15447])).
% 5.07/3.87 tff(15450,plain,
% 5.07/3.87 (xuntil2p8(s66) | (~until2p7(s66))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15449, 12469, 15446])).
% 5.07/3.87 tff(15451,plain,
% 5.07/3.87 (~until2p7(s66)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15450, 15444])).
% 5.07/3.87 tff(15452,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15453,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15454,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s65, s66)) | until2p7(s66) | (~xuntil2p8(s65))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15453, 15452])).
% 5.07/3.87 tff(15455,plain,
% 5.07/3.87 (until2p7(s66) | (~xuntil2p8(s65))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15454, 7133, 12484])).
% 5.07/3.87 tff(15456,plain,
% 5.07/3.87 (~xuntil2p8(s65)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15455, 15451])).
% 5.07/3.87 tff(15457,plain,
% 5.07/3.87 (~always3(s65)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7141, 15445])).
% 5.07/3.87 tff(15458,plain,
% 5.07/3.87 (~node4(s65)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7455, 35, 15457])).
% 5.07/3.87 tff(15459,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15460,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s65) | xuntil2p8(s65) | (~until2p7(s65)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15461,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s65) | xuntil2p8(s65) | (~until2p7(s65))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15460, 15459])).
% 5.07/3.87 tff(15462,plain,
% 5.07/3.87 (xuntil2p8(s65) | (~until2p7(s65))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15461, 12469, 15458])).
% 5.07/3.87 tff(15463,plain,
% 5.07/3.87 (~until2p7(s65)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15462, 15456])).
% 5.07/3.87 tff(15464,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15465,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15466,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s64, s65)) | until2p7(s65) | (~xuntil2p8(s64))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15465, 15464])).
% 5.07/3.87 tff(15467,plain,
% 5.07/3.87 (until2p7(s65) | (~xuntil2p8(s64))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15466, 7145, 12484])).
% 5.07/3.87 tff(15468,plain,
% 5.07/3.87 (~xuntil2p8(s64)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15467, 15463])).
% 5.07/3.87 tff(15469,plain,
% 5.07/3.87 (~always3(s64)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7153, 15457])).
% 5.07/3.87 tff(15470,plain,
% 5.07/3.87 (~node4(s64)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7472, 35, 15469])).
% 5.07/3.87 tff(15471,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15472,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s64) | xuntil2p8(s64) | (~until2p7(s64)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15473,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s64) | xuntil2p8(s64) | (~until2p7(s64))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15472, 15471])).
% 5.07/3.87 tff(15474,plain,
% 5.07/3.87 (xuntil2p8(s64) | (~until2p7(s64))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15473, 12469, 15470])).
% 5.07/3.87 tff(15475,plain,
% 5.07/3.87 (~until2p7(s64)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15474, 15468])).
% 5.07/3.87 tff(15476,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15477,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15478,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s63, s64)) | until2p7(s64) | (~xuntil2p8(s63))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15477, 15476])).
% 5.07/3.87 tff(15479,plain,
% 5.07/3.87 (until2p7(s64) | (~xuntil2p8(s63))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15478, 7157, 12484])).
% 5.07/3.87 tff(15480,plain,
% 5.07/3.87 (~xuntil2p8(s63)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15479, 15475])).
% 5.07/3.87 tff(15481,plain,
% 5.07/3.87 (~always3(s63)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7165, 15469])).
% 5.07/3.87 tff(15482,plain,
% 5.07/3.87 (~node4(s63)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7489, 35, 15481])).
% 5.07/3.87 tff(15483,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15484,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s63) | xuntil2p8(s63) | (~until2p7(s63)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15485,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s63) | xuntil2p8(s63) | (~until2p7(s63))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15484, 15483])).
% 5.07/3.87 tff(15486,plain,
% 5.07/3.87 (xuntil2p8(s63) | (~until2p7(s63))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15485, 12469, 15482])).
% 5.07/3.87 tff(15487,plain,
% 5.07/3.87 (~until2p7(s63)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15486, 15480])).
% 5.07/3.87 tff(15488,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15489,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15490,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s62, s63)) | until2p7(s63) | (~xuntil2p8(s62))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15489, 15488])).
% 5.07/3.87 tff(15491,plain,
% 5.07/3.87 (until2p7(s63) | (~xuntil2p8(s62))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15490, 7169, 12484])).
% 5.07/3.87 tff(15492,plain,
% 5.07/3.87 (~xuntil2p8(s62)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15491, 15487])).
% 5.07/3.87 tff(15493,plain,
% 5.07/3.87 (~always3(s62)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7177, 15481])).
% 5.07/3.87 tff(15494,plain,
% 5.07/3.87 (~node4(s62)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7506, 35, 15493])).
% 5.07/3.87 tff(15495,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15496,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s62) | xuntil2p8(s62) | (~until2p7(s62)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15497,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s62) | xuntil2p8(s62) | (~until2p7(s62))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 5.07/3.87 tff(15498,plain,
% 5.07/3.87 (xuntil2p8(s62) | (~until2p7(s62))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15497, 12469, 15494])).
% 5.07/3.87 tff(15499,plain,
% 5.07/3.87 (~until2p7(s62)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15498, 15492])).
% 5.07/3.87 tff(15500,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15501,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15502,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s61, s62)) | until2p7(s62) | (~xuntil2p8(s61))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15501, 15500])).
% 5.07/3.87 tff(15503,plain,
% 5.07/3.87 (until2p7(s62) | (~xuntil2p8(s61))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15502, 7181, 12484])).
% 5.07/3.87 tff(15504,plain,
% 5.07/3.87 (~xuntil2p8(s61)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15503, 15499])).
% 5.07/3.87 tff(15505,plain,
% 5.07/3.87 (~always3(s61)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7189, 15493])).
% 5.07/3.87 tff(15506,plain,
% 5.07/3.87 (~node4(s61)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7523, 35, 15505])).
% 5.07/3.87 tff(15507,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15508,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s61) | xuntil2p8(s61) | (~until2p7(s61)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15509,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s61) | xuntil2p8(s61) | (~until2p7(s61))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15508, 15507])).
% 5.07/3.87 tff(15510,plain,
% 5.07/3.87 (xuntil2p8(s61) | (~until2p7(s61))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15509, 12469, 15506])).
% 5.07/3.87 tff(15511,plain,
% 5.07/3.87 (~until2p7(s61)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15510, 15504])).
% 5.07/3.87 tff(15512,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15513,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15514,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s60, s61)) | until2p7(s61) | (~xuntil2p8(s60))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15513, 15512])).
% 5.07/3.87 tff(15515,plain,
% 5.07/3.87 (until2p7(s61) | (~xuntil2p8(s60))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15514, 7193, 12484])).
% 5.07/3.87 tff(15516,plain,
% 5.07/3.87 (~xuntil2p8(s60)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15515, 15511])).
% 5.07/3.87 tff(15517,plain,
% 5.07/3.87 (~always3(s60)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7201, 15505])).
% 5.07/3.87 tff(15518,plain,
% 5.07/3.87 (~node4(s60)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7540, 35, 15517])).
% 5.07/3.87 tff(15519,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15520,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s60) | xuntil2p8(s60) | (~until2p7(s60)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15521,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s60) | xuntil2p8(s60) | (~until2p7(s60))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15520, 15519])).
% 5.07/3.87 tff(15522,plain,
% 5.07/3.87 (xuntil2p8(s60) | (~until2p7(s60))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15521, 12469, 15518])).
% 5.07/3.87 tff(15523,plain,
% 5.07/3.87 (~until2p7(s60)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15522, 15516])).
% 5.07/3.87 tff(15524,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15525,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15526,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s59, s60)) | until2p7(s60) | (~xuntil2p8(s59))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15525, 15524])).
% 5.07/3.87 tff(15527,plain,
% 5.07/3.87 (until2p7(s60) | (~xuntil2p8(s59))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15526, 7205, 12484])).
% 5.07/3.87 tff(15528,plain,
% 5.07/3.87 (~xuntil2p8(s59)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15527, 15523])).
% 5.07/3.87 tff(15529,plain,
% 5.07/3.87 (~always3(s59)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7213, 15517])).
% 5.07/3.87 tff(15530,plain,
% 5.07/3.87 (~node4(s59)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7557, 35, 15529])).
% 5.07/3.87 tff(15531,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15532,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s59) | xuntil2p8(s59) | (~until2p7(s59)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15533,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s59) | xuntil2p8(s59) | (~until2p7(s59))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15532, 15531])).
% 5.07/3.87 tff(15534,plain,
% 5.07/3.87 (xuntil2p8(s59) | (~until2p7(s59))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15533, 12469, 15530])).
% 5.07/3.87 tff(15535,plain,
% 5.07/3.87 (~until2p7(s59)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15534, 15528])).
% 5.07/3.87 tff(15536,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15537,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15538,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s58, s59)) | until2p7(s59) | (~xuntil2p8(s58))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15537, 15536])).
% 5.07/3.87 tff(15539,plain,
% 5.07/3.87 (until2p7(s59) | (~xuntil2p8(s58))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15538, 7217, 12484])).
% 5.07/3.87 tff(15540,plain,
% 5.07/3.87 (~xuntil2p8(s58)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15539, 15535])).
% 5.07/3.87 tff(15541,plain,
% 5.07/3.87 (~always3(s58)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7225, 15529])).
% 5.07/3.87 tff(15542,plain,
% 5.07/3.87 (~node4(s58)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7574, 35, 15541])).
% 5.07/3.87 tff(15543,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15544,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s58) | xuntil2p8(s58) | (~until2p7(s58)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15545,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s58) | xuntil2p8(s58) | (~until2p7(s58))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15544, 15543])).
% 5.07/3.87 tff(15546,plain,
% 5.07/3.87 (xuntil2p8(s58) | (~until2p7(s58))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15545, 12469, 15542])).
% 5.07/3.87 tff(15547,plain,
% 5.07/3.87 (~until2p7(s58)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15546, 15540])).
% 5.07/3.87 tff(15548,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15549,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15550,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s57, s58)) | until2p7(s58) | (~xuntil2p8(s57))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15549, 15548])).
% 5.07/3.87 tff(15551,plain,
% 5.07/3.87 (until2p7(s58) | (~xuntil2p8(s57))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15550, 7229, 12484])).
% 5.07/3.87 tff(15552,plain,
% 5.07/3.87 (~xuntil2p8(s57)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15551, 15547])).
% 5.07/3.87 tff(15553,assumption,(node4(s57)), introduced(assumption)).
% 5.07/3.87 tff(15554,plain,
% 5.07/3.87 (((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s57) | (~node4(s57)))) <=> ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s57) | (~node4(s57)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15555,plain,
% 5.07/3.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | (m_main_v_request(s57) | (~node4(s57)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15556,plain,
% 5.07/3.87 ((~![X: $i] : (m_main_v_request(X) | (~node4(X)))) | m_main_v_request(s57) | (~node4(s57))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15555, 15554])).
% 5.07/3.87 tff(15557,plain,
% 5.07/3.87 (m_main_v_request(s57)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15556, 17, 15553])).
% 5.07/3.87 tff(15558,plain,
% 5.07/3.87 (always3(s57)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7591, 35, 15553])).
% 5.07/3.87 tff(15559,plain,
% 5.07/3.87 (always3(s58)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7237, 15558])).
% 5.07/3.87 tff(15560,plain,
% 5.07/3.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s58)) | (~m_main_v_state(s58, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15561,plain,
% 5.07/3.87 (((~m_main_v_state(s58, c_busy)) | (~always3(s58))) <=> ((~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15562,plain,
% 5.07/3.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s58)) | (~m_main_v_state(s58, c_busy))))),
% 5.07/3.87 inference(monotonicity,[status(thm)],[15561])).
% 5.07/3.87 tff(15563,plain,
% 5.07/3.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy)))),
% 5.07/3.87 inference(transitivity,[status(thm)],[15562, 15560])).
% 5.07/3.87 tff(15564,plain,
% 5.07/3.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s58, c_busy)) | (~always3(s58)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15565,plain,
% 5.07/3.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s58)) | (~m_main_v_state(s58, c_busy))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15564, 15563])).
% 5.07/3.87 tff(15566,plain,
% 5.07/3.87 (~m_main_v_state(s58, c_busy)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15565, 75, 15559])).
% 5.07/3.87 tff(15567,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s57, s58)) | node2(s57, s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s57, s58)) | node2(s57, s58))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15568,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | ((~trans(s57, s58)) | node2(s57, s58))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15569,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | node2(X, Y))) | (~trans(s57, s58)) | node2(s57, s58)),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15568, 15567])).
% 5.07/3.87 tff(15570,plain,
% 5.07/3.87 (node2(s57, s58)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15569, 7, 7233])).
% 5.07/3.87 tff(15571,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57)))) <=> ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15572,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | ((~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15573,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~m_main_v_state(X, c_ready)) | (~node2(X, Y)) | m_main_v_state(Y, c_busy) | (~m_main_v_request(X)))) | (~m_main_v_state(s57, c_ready)) | (~node2(s57, s58)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15572, 15571])).
% 5.07/3.87 tff(15574,plain,
% 5.07/3.87 ((~m_main_v_state(s57, c_ready)) | m_main_v_state(s58, c_busy) | (~m_main_v_request(s57))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15573, 96, 15570])).
% 5.07/3.87 tff(15575,plain,
% 5.07/3.87 (~m_main_v_state(s57, c_ready)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15574, 15566, 15557])).
% 5.07/3.87 tff(15576,plain,
% 5.07/3.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s57)) | (~m_main_v_state(s57, c_busy)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15577,plain,
% 5.07/3.87 (((~m_main_v_state(s57, c_busy)) | (~always3(s57))) <=> ((~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15578,plain,
% 5.07/3.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~always3(s57)) | (~m_main_v_state(s57, c_busy))))),
% 5.07/3.87 inference(monotonicity,[status(thm)],[15577])).
% 5.07/3.87 tff(15579,plain,
% 5.07/3.87 (((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))) <=> ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy)))),
% 5.07/3.87 inference(transitivity,[status(thm)],[15578, 15576])).
% 5.07/3.87 tff(15580,plain,
% 5.07/3.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | ((~m_main_v_state(s57, c_busy)) | (~always3(s57)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15581,plain,
% 5.07/3.87 ((~![X: $i] : ((~m_main_v_state(X, c_busy)) | (~always3(X)))) | (~always3(s57)) | (~m_main_v_state(s57, c_busy))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15580, 15579])).
% 5.07/3.87 tff(15582,plain,
% 5.07/3.87 (~m_main_v_state(s57, c_busy)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15581, 75, 15558])).
% 5.07/3.87 tff(15583,plain,
% 5.07/3.87 (((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready))) <=> ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15584,plain,
% 5.07/3.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | (m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15585,plain,
% 5.07/3.87 ((~![X: $i] : (m_main_v_state(X, c_busy) | m_main_v_state(X, c_ready))) | m_main_v_state(s57, c_busy) | m_main_v_state(s57, c_ready)),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15584, 15583])).
% 5.07/3.87 tff(15586,plain,
% 5.07/3.87 ($false),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15585, 118, 15582, 15575])).
% 5.07/3.87 tff(15587,plain,(~node4(s57)), inference(lemma,lemma(discharge,[]))).
% 5.07/3.87 tff(15588,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15589,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s57) | xuntil2p8(s57) | (~until2p7(s57)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15590,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s57) | xuntil2p8(s57) | (~until2p7(s57))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 5.07/3.87 tff(15591,plain,
% 5.07/3.87 (xuntil2p8(s57) | (~until2p7(s57))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15590, 12469, 15587])).
% 5.07/3.87 tff(15592,plain,
% 5.07/3.87 (~until2p7(s57)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15591, 15552])).
% 5.07/3.87 tff(15593,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15594,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15595,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s56, s57)) | until2p7(s57) | (~xuntil2p8(s56))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15594, 15593])).
% 5.07/3.87 tff(15596,plain,
% 5.07/3.87 (until2p7(s57) | (~xuntil2p8(s56))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15595, 7241, 12484])).
% 5.07/3.87 tff(15597,plain,
% 5.07/3.87 (~xuntil2p8(s56)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15596, 15592])).
% 5.07/3.87 tff(15598,plain,
% 5.07/3.87 (~always3(s57)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7237, 15541])).
% 5.07/3.87 tff(15599,plain,
% 5.07/3.87 (~always3(s56)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7249, 15598])).
% 5.07/3.87 tff(15600,plain,
% 5.07/3.87 (~node4(s56)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7608, 35, 15599])).
% 5.07/3.87 tff(15601,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15602,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s56) | xuntil2p8(s56) | (~until2p7(s56)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15603,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s56) | xuntil2p8(s56) | (~until2p7(s56))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15602, 15601])).
% 5.07/3.87 tff(15604,plain,
% 5.07/3.87 (xuntil2p8(s56) | (~until2p7(s56))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15603, 12469, 15600])).
% 5.07/3.87 tff(15605,plain,
% 5.07/3.87 (~until2p7(s56)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15604, 15597])).
% 5.07/3.87 tff(15606,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15607,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15608,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s55, s56)) | until2p7(s56) | (~xuntil2p8(s55))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15607, 15606])).
% 5.07/3.87 tff(15609,plain,
% 5.07/3.87 (until2p7(s56) | (~xuntil2p8(s55))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15608, 7253, 12484])).
% 5.07/3.87 tff(15610,plain,
% 5.07/3.87 (~xuntil2p8(s55)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15609, 15605])).
% 5.07/3.87 tff(15611,plain,
% 5.07/3.87 (~always3(s55)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7261, 15599])).
% 5.07/3.87 tff(15612,plain,
% 5.07/3.87 (~node4(s55)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7625, 35, 15611])).
% 5.07/3.87 tff(15613,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15614,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s55) | xuntil2p8(s55) | (~until2p7(s55)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15615,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s55) | xuntil2p8(s55) | (~until2p7(s55))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15614, 15613])).
% 5.07/3.87 tff(15616,plain,
% 5.07/3.87 (xuntil2p8(s55) | (~until2p7(s55))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15615, 12469, 15612])).
% 5.07/3.87 tff(15617,plain,
% 5.07/3.87 (~until2p7(s55)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15616, 15610])).
% 5.07/3.87 tff(15618,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15619,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15620,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s54, s55)) | until2p7(s55) | (~xuntil2p8(s54))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 5.07/3.87 tff(15621,plain,
% 5.07/3.87 (until2p7(s55) | (~xuntil2p8(s54))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15620, 7265, 12484])).
% 5.07/3.87 tff(15622,plain,
% 5.07/3.87 (~xuntil2p8(s54)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15621, 15617])).
% 5.07/3.87 tff(15623,plain,
% 5.07/3.87 (~always3(s54)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7273, 15611])).
% 5.07/3.87 tff(15624,plain,
% 5.07/3.87 (~node4(s54)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[7642, 35, 15623])).
% 5.07/3.87 tff(15625,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15626,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s54) | xuntil2p8(s54) | (~until2p7(s54)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15627,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s54) | xuntil2p8(s54) | (~until2p7(s54))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15626, 15625])).
% 5.07/3.87 tff(15628,plain,
% 5.07/3.87 (xuntil2p8(s54) | (~until2p7(s54))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15627, 12469, 15624])).
% 5.07/3.87 tff(15629,plain,
% 5.07/3.87 (~until2p7(s54)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15628, 15622])).
% 5.07/3.87 tff(15630,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15631,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15632,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s53, s54)) | until2p7(s54) | (~xuntil2p8(s53))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15631, 15630])).
% 5.07/3.87 tff(15633,plain,
% 5.07/3.87 (until2p7(s54) | (~xuntil2p8(s53))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15632, 4220, 12484])).
% 5.07/3.87 tff(15634,plain,
% 5.07/3.87 (~xuntil2p8(s53)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15633, 15629])).
% 5.07/3.87 tff(15635,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15636,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s53) | xuntil2p8(s53) | (~until2p7(s53)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15637,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s53) | xuntil2p8(s53) | (~until2p7(s53))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 5.07/3.87 tff(15638,plain,
% 5.07/3.87 (xuntil2p8(s53) | (~until2p7(s53))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15637, 12469, 4251])).
% 5.07/3.87 tff(15639,plain,
% 5.07/3.87 (~until2p7(s53)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15638, 15634])).
% 5.07/3.87 tff(15640,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15641,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15642,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s52, s53)) | until2p7(s53) | (~xuntil2p8(s52))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15641, 15640])).
% 5.07/3.87 tff(15643,plain,
% 5.07/3.87 (until2p7(s53) | (~xuntil2p8(s52))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15642, 4027, 12484])).
% 5.07/3.87 tff(15644,plain,
% 5.07/3.87 (~xuntil2p8(s52)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15643, 15639])).
% 5.07/3.87 tff(15645,plain,
% 5.07/3.87 (~always3(s53)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[4228, 15623])).
% 5.07/3.87 tff(15646,plain,
% 5.07/3.87 (~always3(s52)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[4035, 15645])).
% 5.07/3.87 tff(15647,plain,
% 5.07/3.87 (~node4(s52)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[4021, 35, 15646])).
% 5.07/3.87 tff(15648,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15649,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s52) | xuntil2p8(s52) | (~until2p7(s52)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15650,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s52) | xuntil2p8(s52) | (~until2p7(s52))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15649, 15648])).
% 5.07/3.87 tff(15651,plain,
% 5.07/3.87 (xuntil2p8(s52) | (~until2p7(s52))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15650, 12469, 15647])).
% 5.07/3.87 tff(15652,plain,
% 5.07/3.87 (~until2p7(s52)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15651, 15644])).
% 5.07/3.87 tff(15653,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15654,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15655,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s51, s52)) | until2p7(s52) | (~xuntil2p8(s51))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15654, 15653])).
% 5.07/3.87 tff(15656,plain,
% 5.07/3.87 (until2p7(s52) | (~xuntil2p8(s51))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15655, 3901, 12484])).
% 5.07/3.87 tff(15657,plain,
% 5.07/3.87 (~xuntil2p8(s51)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15656, 15652])).
% 5.07/3.87 tff(15658,plain,
% 5.07/3.87 (~always3(s51)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[3909, 15646])).
% 5.07/3.87 tff(15659,plain,
% 5.07/3.87 (~node4(s51)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[3964, 35, 15658])).
% 5.07/3.87 tff(15660,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15661,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s51) | xuntil2p8(s51) | (~until2p7(s51)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15662,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s51) | xuntil2p8(s51) | (~until2p7(s51))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15661, 15660])).
% 5.07/3.87 tff(15663,plain,
% 5.07/3.87 (xuntil2p8(s51) | (~until2p7(s51))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15662, 12469, 15659])).
% 5.07/3.87 tff(15664,plain,
% 5.07/3.87 (~until2p7(s51)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15663, 15657])).
% 5.07/3.87 tff(15665,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15666,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15667,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s50, s51)) | until2p7(s51) | (~xuntil2p8(s50))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15666, 15665])).
% 5.07/3.87 tff(15668,plain,
% 5.07/3.87 (until2p7(s51) | (~xuntil2p8(s50))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15667, 3913, 12484])).
% 5.07/3.87 tff(15669,plain,
% 5.07/3.87 (~xuntil2p8(s50)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15668, 15664])).
% 5.07/3.87 tff(15670,plain,
% 5.07/3.87 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15671,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s50) | xuntil2p8(s50) | (~until2p7(s50)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15672,plain,
% 5.07/3.87 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s50) | xuntil2p8(s50) | (~until2p7(s50))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15671, 15670])).
% 5.07/3.87 tff(15673,plain,
% 5.07/3.87 (xuntil2p8(s50) | (~until2p7(s50))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15672, 12469, 4160])).
% 5.07/3.87 tff(15674,plain,
% 5.07/3.87 (~until2p7(s50)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15673, 15669])).
% 5.07/3.87 tff(15675,plain,
% 5.07/3.87 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))),
% 5.07/3.87 inference(rewrite,[status(thm)],[])).
% 5.07/3.87 tff(15676,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49)))),
% 5.07/3.87 inference(quant_inst,[status(thm)],[])).
% 5.07/3.87 tff(15677,plain,
% 5.07/3.87 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s49, s50)) | until2p7(s50) | (~xuntil2p8(s49))),
% 5.07/3.87 inference(modus_ponens,[status(thm)],[15676, 15675])).
% 5.07/3.87 tff(15678,plain,
% 5.07/3.87 (until2p7(s50) | (~xuntil2p8(s49))),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15677, 3811, 12484])).
% 5.07/3.87 tff(15679,plain,
% 5.07/3.87 (~xuntil2p8(s49)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[15678, 15674])).
% 5.07/3.87 tff(15680,plain,
% 5.07/3.87 (~always3(s50)),
% 5.07/3.87 inference(unit_resolution,[status(thm)],[3921, 15658])).
% 5.07/3.88 tff(15681,plain,
% 5.07/3.88 (~always3(s49)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3819, 15680])).
% 5.07/3.88 tff(15682,plain,
% 5.07/3.88 (~node4(s49)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3807, 35, 15681])).
% 5.07/3.88 tff(15683,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15684,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s49) | xuntil2p8(s49) | (~until2p7(s49)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15685,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s49) | xuntil2p8(s49) | (~until2p7(s49))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15684, 15683])).
% 5.07/3.88 tff(15686,plain,
% 5.07/3.88 (xuntil2p8(s49) | (~until2p7(s49))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15685, 12469, 15682])).
% 5.07/3.88 tff(15687,plain,
% 5.07/3.88 (~until2p7(s49)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15686, 15679])).
% 5.07/3.88 tff(15688,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15689,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15690,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s48, s49)) | until2p7(s49) | (~xuntil2p8(s48))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15689, 15688])).
% 5.07/3.88 tff(15691,plain,
% 5.07/3.88 (until2p7(s49) | (~xuntil2p8(s48))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15690, 3755, 12484])).
% 5.07/3.88 tff(15692,plain,
% 5.07/3.88 (~xuntil2p8(s48)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15691, 15687])).
% 5.07/3.88 tff(15693,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15694,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s48) | xuntil2p8(s48) | (~until2p7(s48)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15695,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s48) | xuntil2p8(s48) | (~until2p7(s48))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15694, 15693])).
% 5.07/3.88 tff(15696,plain,
% 5.07/3.88 (xuntil2p8(s48) | (~until2p7(s48))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15695, 12469, 3786])).
% 5.07/3.88 tff(15697,plain,
% 5.07/3.88 (~until2p7(s48)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15696, 15692])).
% 5.07/3.88 tff(15698,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15699,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15700,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s47, s48)) | until2p7(s48) | (~xuntil2p8(s47))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15699, 15698])).
% 5.07/3.88 tff(15701,plain,
% 5.07/3.88 (until2p7(s48) | (~xuntil2p8(s47))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15700, 49, 12484])).
% 5.07/3.88 tff(15702,plain,
% 5.07/3.88 (~xuntil2p8(s47)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15701, 15697])).
% 5.07/3.88 tff(15703,plain,
% 5.07/3.88 (~always3(s48)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3763, 15681])).
% 5.07/3.88 tff(15704,plain,
% 5.07/3.88 (~always3(s47)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[67, 15703])).
% 5.07/3.88 tff(15705,plain,
% 5.07/3.88 (~node4(s47)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[38, 35, 15704])).
% 5.07/3.88 tff(15706,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15707,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s47) | xuntil2p8(s47) | (~until2p7(s47)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15708,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s47) | xuntil2p8(s47) | (~until2p7(s47))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15707, 15706])).
% 5.07/3.88 tff(15709,plain,
% 5.07/3.88 (xuntil2p8(s47) | (~until2p7(s47))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15708, 12469, 15705])).
% 5.07/3.88 tff(15710,plain,
% 5.07/3.88 (~until2p7(s47)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15709, 15702])).
% 5.07/3.88 tff(15711,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15712,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15713,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s46, s47)) | until2p7(s47) | (~xuntil2p8(s46))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15712, 15711])).
% 5.07/3.88 tff(15714,plain,
% 5.07/3.88 (until2p7(s47) | (~xuntil2p8(s46))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15713, 3701, 12484])).
% 5.07/3.88 tff(15715,plain,
% 5.07/3.88 (~xuntil2p8(s46)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15714, 15710])).
% 5.07/3.88 tff(15716,plain,
% 5.07/3.88 (~always3(s46)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3709, 15704])).
% 5.07/3.88 tff(15717,plain,
% 5.07/3.88 (~node4(s46)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3097, 35, 15716])).
% 5.07/3.88 tff(15718,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15719,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s46) | xuntil2p8(s46) | (~until2p7(s46)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15720,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s46) | xuntil2p8(s46) | (~until2p7(s46))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15719, 15718])).
% 5.07/3.88 tff(15721,plain,
% 5.07/3.88 (xuntil2p8(s46) | (~until2p7(s46))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15720, 12469, 15717])).
% 5.07/3.88 tff(15722,plain,
% 5.07/3.88 (~until2p7(s46)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15721, 15715])).
% 5.07/3.88 tff(15723,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15724,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15725,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s45, s46)) | until2p7(s46) | (~xuntil2p8(s45))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15724, 15723])).
% 5.07/3.88 tff(15726,plain,
% 5.07/3.88 (until2p7(s46) | (~xuntil2p8(s45))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15725, 2996, 12484])).
% 5.07/3.88 tff(15727,plain,
% 5.07/3.88 (~xuntil2p8(s45)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15726, 15722])).
% 5.07/3.88 tff(15728,plain,
% 5.07/3.88 (~always3(s45)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3004, 15716])).
% 5.07/3.88 tff(15729,plain,
% 5.07/3.88 (~node4(s45)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3093, 35, 15728])).
% 5.07/3.88 tff(15730,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15731,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s45) | xuntil2p8(s45) | (~until2p7(s45)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15732,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s45) | xuntil2p8(s45) | (~until2p7(s45))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15731, 15730])).
% 5.07/3.88 tff(15733,plain,
% 5.07/3.88 (xuntil2p8(s45) | (~until2p7(s45))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15732, 12469, 15729])).
% 5.07/3.88 tff(15734,plain,
% 5.07/3.88 (~until2p7(s45)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15733, 15727])).
% 5.07/3.88 tff(15735,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15736,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15737,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s44, s45)) | until2p7(s45) | (~xuntil2p8(s44))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15736, 15735])).
% 5.07/3.88 tff(15738,plain,
% 5.07/3.88 (until2p7(s45) | (~xuntil2p8(s44))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15737, 3008, 12484])).
% 5.07/3.88 tff(15739,plain,
% 5.07/3.88 (~xuntil2p8(s44)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15738, 15734])).
% 5.07/3.88 tff(15740,plain,
% 5.07/3.88 (~always3(s44)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3016, 15728])).
% 5.07/3.88 tff(15741,plain,
% 5.07/3.88 (~node4(s44)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3126, 35, 15740])).
% 5.07/3.88 tff(15742,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15743,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s44) | xuntil2p8(s44) | (~until2p7(s44)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15744,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s44) | xuntil2p8(s44) | (~until2p7(s44))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15743, 15742])).
% 5.07/3.88 tff(15745,plain,
% 5.07/3.88 (xuntil2p8(s44) | (~until2p7(s44))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15744, 12469, 15741])).
% 5.07/3.88 tff(15746,plain,
% 5.07/3.88 (~until2p7(s44)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15745, 15739])).
% 5.07/3.88 tff(15747,assumption,(xuntil6(s299)), introduced(assumption)).
% 5.07/3.88 tff(15748,assumption,(~until2p7(s44)), introduced(assumption)).
% 5.07/3.88 tff(15749,assumption,(trans(s299, s44)), introduced(assumption)).
% 5.07/3.88 tff(15750,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s44)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s44)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15751,plain,
% 5.07/3.88 (((~trans(s299, s44)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s44)) <=> (until2p7(s44) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s44)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15752,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s44)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s44) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s44))))),
% 5.07/3.88 inference(monotonicity,[status(thm)],[15751])).
% 5.07/3.88 tff(15753,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s44)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s44))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s44)))),
% 5.07/3.88 inference(transitivity,[status(thm)],[15752, 15750])).
% 5.07/3.88 tff(15754,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s44)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s44))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15755,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s44) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s44))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15754, 15753])).
% 5.07/3.88 tff(15756,plain,
% 5.07/3.88 ($false),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15755, 12455, 15749, 12541, 15748, 15747])).
% 5.07/3.88 tff(15757,plain,((~trans(s299, s44)) | until2p7(s44) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.88 tff(15758,plain,
% 5.07/3.88 (~trans(s299, s44)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15757, 15746, 12444])).
% 5.07/3.88 tff(15759,assumption,(~until2p7(s220)), introduced(assumption)).
% 5.07/3.88 tff(15760,assumption,(trans(s299, s220)), introduced(assumption)).
% 5.07/3.88 tff(15761,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s220) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s220)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s220)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15762,plain,
% 5.07/3.88 (((~trans(s299, s220)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s220)) <=> (until2p7(s220) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s220)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15763,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s220)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s220) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s220))))),
% 5.07/3.88 inference(monotonicity,[status(thm)],[15762])).
% 5.07/3.88 tff(15764,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s220)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s220))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s220)))),
% 5.07/3.88 inference(transitivity,[status(thm)],[15763, 15761])).
% 5.07/3.88 tff(15765,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s220)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s220))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15766,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s220) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s220))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15765, 15764])).
% 5.07/3.88 tff(15767,plain,
% 5.07/3.88 ($false),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15766, 12455, 15760, 12541, 15759, 15747])).
% 5.07/3.88 tff(15768,plain,((~trans(s299, s220)) | until2p7(s220) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.88 tff(15769,plain,
% 5.07/3.88 (~trans(s299, s220)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15768, 12444, 13510])).
% 5.07/3.88 tff(15770,assumption,(~until2p7(s140)), introduced(assumption)).
% 5.07/3.88 tff(15771,assumption,(trans(s299, s140)), introduced(assumption)).
% 5.07/3.88 tff(15772,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s140) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s140)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s140)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15773,plain,
% 5.07/3.88 (((~trans(s299, s140)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s140)) <=> (until2p7(s140) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s140)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15774,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s140)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s140) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s140))))),
% 5.07/3.88 inference(monotonicity,[status(thm)],[15773])).
% 5.07/3.88 tff(15775,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s140)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s140))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s140)))),
% 5.07/3.88 inference(transitivity,[status(thm)],[15774, 15772])).
% 5.07/3.88 tff(15776,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s140)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s140))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15777,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s140) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s140))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15776, 15775])).
% 5.07/3.88 tff(15778,plain,
% 5.07/3.88 ($false),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15777, 12455, 15771, 12541, 15770, 15747])).
% 5.07/3.88 tff(15779,plain,((~trans(s299, s140)) | until2p7(s140) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.88 tff(15780,plain,
% 5.07/3.88 (~trans(s299, s140)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15779, 14480, 12444])).
% 5.07/3.88 tff(15781,assumption,(~until2p7(s204)), introduced(assumption)).
% 5.07/3.88 tff(15782,assumption,(trans(s299, s204)), introduced(assumption)).
% 5.07/3.88 tff(15783,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s204) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s204)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s204)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15784,plain,
% 5.07/3.88 (((~trans(s299, s204)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s204)) <=> (until2p7(s204) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s204)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15785,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s204)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s204) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s204))))),
% 5.07/3.88 inference(monotonicity,[status(thm)],[15784])).
% 5.07/3.88 tff(15786,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s204)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s204))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s204)))),
% 5.07/3.88 inference(transitivity,[status(thm)],[15785, 15783])).
% 5.07/3.88 tff(15787,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s204)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s204))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15788,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s204) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s204))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15787, 15786])).
% 5.07/3.88 tff(15789,plain,
% 5.07/3.88 ($false),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15788, 12455, 15782, 12541, 15781, 15747])).
% 5.07/3.88 tff(15790,plain,((~trans(s299, s204)) | until2p7(s204) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.88 tff(15791,plain,
% 5.07/3.88 (~trans(s299, s204)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15790, 12444, 13788])).
% 5.07/3.88 tff(15792,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15793,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15794,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s43, s44)) | until2p7(s44) | (~xuntil2p8(s43))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15793, 15792])).
% 5.07/3.88 tff(15795,plain,
% 5.07/3.88 (until2p7(s44) | (~xuntil2p8(s43))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15794, 3020, 12484])).
% 5.07/3.88 tff(15796,plain,
% 5.07/3.88 (~xuntil2p8(s43)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15795, 15746])).
% 5.07/3.88 tff(15797,plain,
% 5.07/3.88 (~always3(s43)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3028, 15740])).
% 5.07/3.88 tff(15798,plain,
% 5.07/3.88 (~node4(s43)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3143, 35, 15797])).
% 5.07/3.88 tff(15799,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15800,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s43) | xuntil2p8(s43) | (~until2p7(s43)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15801,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s43) | xuntil2p8(s43) | (~until2p7(s43))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15800, 15799])).
% 5.07/3.88 tff(15802,plain,
% 5.07/3.88 (xuntil2p8(s43) | (~until2p7(s43))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15801, 12469, 15798])).
% 5.07/3.88 tff(15803,plain,
% 5.07/3.88 (~until2p7(s43)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15802, 15796])).
% 5.07/3.88 tff(15804,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15805,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15806,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s42, s43)) | until2p7(s43) | (~xuntil2p8(s42))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15805, 15804])).
% 5.07/3.88 tff(15807,plain,
% 5.07/3.88 (until2p7(s43) | (~xuntil2p8(s42))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15806, 3032, 12484])).
% 5.07/3.88 tff(15808,plain,
% 5.07/3.88 (~xuntil2p8(s42)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15807, 15803])).
% 5.07/3.88 tff(15809,plain,
% 5.07/3.88 (~always3(s42)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3040, 15797])).
% 5.07/3.88 tff(15810,plain,
% 5.07/3.88 (~node4(s42)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3160, 35, 15809])).
% 5.07/3.88 tff(15811,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15812,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s42) | xuntil2p8(s42) | (~until2p7(s42)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15813,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s42) | xuntil2p8(s42) | (~until2p7(s42))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15812, 15811])).
% 5.07/3.88 tff(15814,plain,
% 5.07/3.88 (xuntil2p8(s42) | (~until2p7(s42))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15813, 12469, 15810])).
% 5.07/3.88 tff(15815,plain,
% 5.07/3.88 (~until2p7(s42)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15814, 15808])).
% 5.07/3.88 tff(15816,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15817,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15818,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s41, s42)) | until2p7(s42) | (~xuntil2p8(s41))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15817, 15816])).
% 5.07/3.88 tff(15819,plain,
% 5.07/3.88 (until2p7(s42) | (~xuntil2p8(s41))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15818, 3044, 12484])).
% 5.07/3.88 tff(15820,plain,
% 5.07/3.88 (~xuntil2p8(s41)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15819, 15815])).
% 5.07/3.88 tff(15821,plain,
% 5.07/3.88 (~always3(s41)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3052, 15809])).
% 5.07/3.88 tff(15822,plain,
% 5.07/3.88 (~node4(s41)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3177, 35, 15821])).
% 5.07/3.88 tff(15823,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15824,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s41) | xuntil2p8(s41) | (~until2p7(s41)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15825,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s41) | xuntil2p8(s41) | (~until2p7(s41))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15824, 15823])).
% 5.07/3.88 tff(15826,plain,
% 5.07/3.88 (xuntil2p8(s41) | (~until2p7(s41))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15825, 12469, 15822])).
% 5.07/3.88 tff(15827,plain,
% 5.07/3.88 (~until2p7(s41)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15826, 15820])).
% 5.07/3.88 tff(15828,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15829,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15830,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s40, s41)) | until2p7(s41) | (~xuntil2p8(s40))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15829, 15828])).
% 5.07/3.88 tff(15831,plain,
% 5.07/3.88 (until2p7(s41) | (~xuntil2p8(s40))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15830, 3056, 12484])).
% 5.07/3.88 tff(15832,plain,
% 5.07/3.88 (~xuntil2p8(s40)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15831, 15827])).
% 5.07/3.88 tff(15833,plain,
% 5.07/3.88 (~always3(s40)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3064, 15821])).
% 5.07/3.88 tff(15834,plain,
% 5.07/3.88 (~node4(s40)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3194, 35, 15833])).
% 5.07/3.88 tff(15835,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15836,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s40) | xuntil2p8(s40) | (~until2p7(s40)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15837,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s40) | xuntil2p8(s40) | (~until2p7(s40))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15836, 15835])).
% 5.07/3.88 tff(15838,plain,
% 5.07/3.88 (xuntil2p8(s40) | (~until2p7(s40))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15837, 12469, 15834])).
% 5.07/3.88 tff(15839,plain,
% 5.07/3.88 (~until2p7(s40)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15838, 15832])).
% 5.07/3.88 tff(15840,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15841,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15842,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s39, s40)) | until2p7(s40) | (~xuntil2p8(s39))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15841, 15840])).
% 5.07/3.88 tff(15843,plain,
% 5.07/3.88 (until2p7(s40) | (~xuntil2p8(s39))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15842, 3068, 12484])).
% 5.07/3.88 tff(15844,plain,
% 5.07/3.88 (~xuntil2p8(s39)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15843, 15839])).
% 5.07/3.88 tff(15845,plain,
% 5.07/3.88 (~always3(s39)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3076, 15833])).
% 5.07/3.88 tff(15846,plain,
% 5.07/3.88 (~node4(s39)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[3211, 35, 15845])).
% 5.07/3.88 tff(15847,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15848,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s39) | xuntil2p8(s39) | (~until2p7(s39)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15849,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s39) | xuntil2p8(s39) | (~until2p7(s39))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15848, 15847])).
% 5.07/3.88 tff(15850,plain,
% 5.07/3.88 (xuntil2p8(s39) | (~until2p7(s39))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15849, 12469, 15846])).
% 5.07/3.88 tff(15851,plain,
% 5.07/3.88 (~until2p7(s39)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15850, 15844])).
% 5.07/3.88 tff(15852,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15853,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15854,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s38, s39)) | until2p7(s39) | (~xuntil2p8(s38))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15853, 15852])).
% 5.07/3.88 tff(15855,plain,
% 5.07/3.88 (until2p7(s39) | (~xuntil2p8(s38))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15854, 2772, 12484])).
% 5.07/3.88 tff(15856,plain,
% 5.07/3.88 (~xuntil2p8(s38)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15855, 15851])).
% 5.07/3.88 tff(15857,plain,
% 5.07/3.88 (~always3(s38)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[2780, 15845])).
% 5.07/3.88 tff(15858,plain,
% 5.07/3.88 (~node4(s38)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[2619, 35, 15857])).
% 5.07/3.88 tff(15859,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15860,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s38) | xuntil2p8(s38) | (~until2p7(s38)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15861,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s38) | xuntil2p8(s38) | (~until2p7(s38))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15860, 15859])).
% 5.07/3.88 tff(15862,plain,
% 5.07/3.88 (xuntil2p8(s38) | (~until2p7(s38))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15861, 12469, 15858])).
% 5.07/3.88 tff(15863,plain,
% 5.07/3.88 (~until2p7(s38)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15862, 15856])).
% 5.07/3.88 tff(15864,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15865,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15866,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s37, s38)) | until2p7(s38) | (~xuntil2p8(s37))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15865, 15864])).
% 5.07/3.88 tff(15867,plain,
% 5.07/3.88 (until2p7(s38) | (~xuntil2p8(s37))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15866, 2607, 12484])).
% 5.07/3.88 tff(15868,plain,
% 5.07/3.88 (~xuntil2p8(s37)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15867, 15863])).
% 5.07/3.88 tff(15869,plain,
% 5.07/3.88 (~always3(s37)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[2615, 15857])).
% 5.07/3.88 tff(15870,plain,
% 5.07/3.88 (~node4(s37)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[2707, 35, 15869])).
% 5.07/3.88 tff(15871,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15872,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s37) | xuntil2p8(s37) | (~until2p7(s37)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15873,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s37) | xuntil2p8(s37) | (~until2p7(s37))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15872, 15871])).
% 5.07/3.88 tff(15874,plain,
% 5.07/3.88 (xuntil2p8(s37) | (~until2p7(s37))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15873, 12469, 15870])).
% 5.07/3.88 tff(15875,plain,
% 5.07/3.88 (~until2p7(s37)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15874, 15868])).
% 5.07/3.88 tff(15876,plain,
% 5.07/3.88 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15877,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15878,plain,
% 5.07/3.88 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s36, s37)) | until2p7(s37) | (~xuntil2p8(s36))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15877, 15876])).
% 5.07/3.88 tff(15879,plain,
% 5.07/3.88 (until2p7(s37) | (~xuntil2p8(s36))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15878, 2636, 12484])).
% 5.07/3.88 tff(15880,plain,
% 5.07/3.88 (~xuntil2p8(s36)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15879, 15875])).
% 5.07/3.88 tff(15881,plain,
% 5.07/3.88 (~always3(s36)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[2644, 15869])).
% 5.07/3.88 tff(15882,plain,
% 5.07/3.88 (~node4(s36)),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[2703, 35, 15881])).
% 5.07/3.88 tff(15883,plain,
% 5.07/3.88 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 5.07/3.88 inference(rewrite,[status(thm)],[])).
% 5.07/3.88 tff(15884,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s36) | xuntil2p8(s36) | (~until2p7(s36)))),
% 5.07/3.88 inference(quant_inst,[status(thm)],[])).
% 5.07/3.88 tff(15885,plain,
% 5.07/3.88 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s36) | xuntil2p8(s36) | (~until2p7(s36))),
% 5.07/3.88 inference(modus_ponens,[status(thm)],[15884, 15883])).
% 5.07/3.88 tff(15886,plain,
% 5.07/3.88 (xuntil2p8(s36) | (~until2p7(s36))),
% 5.07/3.88 inference(unit_resolution,[status(thm)],[15885, 12469, 15882])).
% 5.07/3.89 tff(15887,plain,
% 5.07/3.89 (~until2p7(s36)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15886, 15880])).
% 5.07/3.89 tff(15888,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15889,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15890,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s35, s36)) | until2p7(s36) | (~xuntil2p8(s35))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15889, 15888])).
% 5.07/3.89 tff(15891,plain,
% 5.07/3.89 (until2p7(s36) | (~xuntil2p8(s35))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15890, 2648, 12484])).
% 5.07/3.89 tff(15892,plain,
% 5.07/3.89 (~xuntil2p8(s35)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15891, 15887])).
% 5.07/3.89 tff(15893,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15894,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s35) | xuntil2p8(s35) | (~until2p7(s35)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15895,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s35) | xuntil2p8(s35) | (~until2p7(s35))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15894, 15893])).
% 5.07/3.89 tff(15896,plain,
% 5.07/3.89 (xuntil2p8(s35) | (~until2p7(s35))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15895, 12469, 2865])).
% 5.07/3.89 tff(15897,plain,
% 5.07/3.89 (~until2p7(s35)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15896, 15892])).
% 5.07/3.89 tff(15898,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15899,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15900,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s34, s35)) | until2p7(s35) | (~xuntil2p8(s34))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15899, 15898])).
% 5.07/3.89 tff(15901,plain,
% 5.07/3.89 (until2p7(s35) | (~xuntil2p8(s34))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15900, 2660, 12484])).
% 5.07/3.89 tff(15902,plain,
% 5.07/3.89 (~xuntil2p8(s34)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15901, 15897])).
% 5.07/3.89 tff(15903,plain,
% 5.07/3.89 (~always3(s35)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2656, 15881])).
% 5.07/3.89 tff(15904,plain,
% 5.07/3.89 (~always3(s34)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2668, 15903])).
% 5.07/3.89 tff(15905,plain,
% 5.07/3.89 (~node4(s34)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2738, 35, 15904])).
% 5.07/3.89 tff(15906,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15907,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s34) | xuntil2p8(s34) | (~until2p7(s34)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15908,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s34) | xuntil2p8(s34) | (~until2p7(s34))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15907, 15906])).
% 5.07/3.89 tff(15909,plain,
% 5.07/3.89 (xuntil2p8(s34) | (~until2p7(s34))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15908, 12469, 15905])).
% 5.07/3.89 tff(15910,plain,
% 5.07/3.89 (~until2p7(s34)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15909, 15902])).
% 5.07/3.89 tff(15911,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15912,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15913,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s33, s34)) | until2p7(s34) | (~xuntil2p8(s33))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15912, 15911])).
% 5.07/3.89 tff(15914,plain,
% 5.07/3.89 (until2p7(s34) | (~xuntil2p8(s33))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15913, 2672, 12484])).
% 5.07/3.89 tff(15915,plain,
% 5.07/3.89 (~xuntil2p8(s33)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15914, 15910])).
% 5.07/3.89 tff(15916,plain,
% 5.07/3.89 (~always3(s33)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2680, 15904])).
% 5.07/3.89 tff(15917,plain,
% 5.07/3.89 (~node4(s33)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2684, 35, 15916])).
% 5.07/3.89 tff(15918,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15919,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s33) | xuntil2p8(s33) | (~until2p7(s33)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15920,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s33) | xuntil2p8(s33) | (~until2p7(s33))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15919, 15918])).
% 5.07/3.89 tff(15921,plain,
% 5.07/3.89 (xuntil2p8(s33) | (~until2p7(s33))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15920, 12469, 15917])).
% 5.07/3.89 tff(15922,plain,
% 5.07/3.89 (~until2p7(s33)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15921, 15915])).
% 5.07/3.89 tff(15923,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15924,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15925,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s32, s33)) | until2p7(s33) | (~xuntil2p8(s32))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 5.07/3.89 tff(15926,plain,
% 5.07/3.89 (until2p7(s33) | (~xuntil2p8(s32))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15925, 2539, 12484])).
% 5.07/3.89 tff(15927,plain,
% 5.07/3.89 (~xuntil2p8(s32)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15926, 15922])).
% 5.07/3.89 tff(15928,plain,
% 5.07/3.89 (~always3(s32)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2547, 15916])).
% 5.07/3.89 tff(15929,plain,
% 5.07/3.89 (~node4(s32)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2489, 35, 15928])).
% 5.07/3.89 tff(15930,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15931,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s32) | xuntil2p8(s32) | (~until2p7(s32)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15932,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s32) | xuntil2p8(s32) | (~until2p7(s32))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15931, 15930])).
% 5.07/3.89 tff(15933,plain,
% 5.07/3.89 (xuntil2p8(s32) | (~until2p7(s32))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15932, 12469, 15929])).
% 5.07/3.89 tff(15934,plain,
% 5.07/3.89 (~until2p7(s32)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15933, 15927])).
% 5.07/3.89 tff(15935,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15936,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15937,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s31, s32)) | until2p7(s32) | (~xuntil2p8(s31))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15936, 15935])).
% 5.07/3.89 tff(15938,plain,
% 5.07/3.89 (until2p7(s32) | (~xuntil2p8(s31))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15937, 2501, 12484])).
% 5.07/3.89 tff(15939,plain,
% 5.07/3.89 (~xuntil2p8(s31)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15938, 15934])).
% 5.07/3.89 tff(15940,plain,
% 5.07/3.89 (~always3(s31)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2509, 15928])).
% 5.07/3.89 tff(15941,plain,
% 5.07/3.89 (~node4(s31)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[2513, 35, 15940])).
% 5.07/3.89 tff(15942,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15943,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s31) | xuntil2p8(s31) | (~until2p7(s31)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15944,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s31) | xuntil2p8(s31) | (~until2p7(s31))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15943, 15942])).
% 5.07/3.89 tff(15945,plain,
% 5.07/3.89 (xuntil2p8(s31) | (~until2p7(s31))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15944, 12469, 15941])).
% 5.07/3.89 tff(15946,plain,
% 5.07/3.89 (~until2p7(s31)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15945, 15939])).
% 5.07/3.89 tff(15947,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15948,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15949,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s30, s31)) | until2p7(s31) | (~xuntil2p8(s30))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 5.07/3.89 tff(15950,plain,
% 5.07/3.89 (until2p7(s31) | (~xuntil2p8(s30))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15949, 1556, 12484])).
% 5.07/3.89 tff(15951,plain,
% 5.07/3.89 (~xuntil2p8(s30)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15950, 15946])).
% 5.07/3.89 tff(15952,plain,
% 5.07/3.89 (~always3(s30)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1564, 15940])).
% 5.07/3.89 tff(15953,plain,
% 5.07/3.89 (~node4(s30)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1002, 35, 15952])).
% 5.07/3.89 tff(15954,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15955,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s30) | xuntil2p8(s30) | (~until2p7(s30)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15956,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s30) | xuntil2p8(s30) | (~until2p7(s30))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15955, 15954])).
% 5.07/3.89 tff(15957,plain,
% 5.07/3.89 (xuntil2p8(s30) | (~until2p7(s30))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15956, 12469, 15953])).
% 5.07/3.89 tff(15958,plain,
% 5.07/3.89 (~until2p7(s30)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15957, 15951])).
% 5.07/3.89 tff(15959,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15960,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15961,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s29, s30)) | until2p7(s30) | (~xuntil2p8(s29))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 5.07/3.89 tff(15962,plain,
% 5.07/3.89 (until2p7(s30) | (~xuntil2p8(s29))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15961, 986, 12484])).
% 5.07/3.89 tff(15963,plain,
% 5.07/3.89 (~xuntil2p8(s29)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15962, 15958])).
% 5.07/3.89 tff(15964,plain,
% 5.07/3.89 (~always3(s29)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[994, 15952])).
% 5.07/3.89 tff(15965,plain,
% 5.07/3.89 (~node4(s29)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[998, 35, 15964])).
% 5.07/3.89 tff(15966,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15967,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s29) | xuntil2p8(s29) | (~until2p7(s29)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15968,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s29) | xuntil2p8(s29) | (~until2p7(s29))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15967, 15966])).
% 5.07/3.89 tff(15969,plain,
% 5.07/3.89 (xuntil2p8(s29) | (~until2p7(s29))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15968, 12469, 15965])).
% 5.07/3.89 tff(15970,plain,
% 5.07/3.89 (~until2p7(s29)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15969, 15963])).
% 5.07/3.89 tff(15971,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15972,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15973,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s28, s29)) | until2p7(s29) | (~xuntil2p8(s28))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15972, 15971])).
% 5.07/3.89 tff(15974,plain,
% 5.07/3.89 (until2p7(s29) | (~xuntil2p8(s28))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15973, 1026, 12484])).
% 5.07/3.89 tff(15975,plain,
% 5.07/3.89 (~xuntil2p8(s28)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15974, 15970])).
% 5.07/3.89 tff(15976,plain,
% 5.07/3.89 (~always3(s28)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1039, 15964])).
% 5.07/3.89 tff(15977,plain,
% 5.07/3.89 (~node4(s28)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1043, 35, 15976])).
% 5.07/3.89 tff(15978,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15979,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s28) | xuntil2p8(s28) | (~until2p7(s28)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15980,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s28) | xuntil2p8(s28) | (~until2p7(s28))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15979, 15978])).
% 5.07/3.89 tff(15981,plain,
% 5.07/3.89 (xuntil2p8(s28) | (~until2p7(s28))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15980, 12469, 15977])).
% 5.07/3.89 tff(15982,plain,
% 5.07/3.89 (~until2p7(s28)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15981, 15975])).
% 5.07/3.89 tff(15983,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15984,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15985,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s27, s28)) | until2p7(s28) | (~xuntil2p8(s27))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15984, 15983])).
% 5.07/3.89 tff(15986,plain,
% 5.07/3.89 (until2p7(s28) | (~xuntil2p8(s27))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15985, 1055, 12484])).
% 5.07/3.89 tff(15987,plain,
% 5.07/3.89 (~xuntil2p8(s27)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15986, 15982])).
% 5.07/3.89 tff(15988,plain,
% 5.07/3.89 (~always3(s27)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1068, 15976])).
% 5.07/3.89 tff(15989,plain,
% 5.07/3.89 (~node4(s27)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1072, 35, 15988])).
% 5.07/3.89 tff(15990,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15991,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s27) | xuntil2p8(s27) | (~until2p7(s27)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15992,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s27) | xuntil2p8(s27) | (~until2p7(s27))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15991, 15990])).
% 5.07/3.89 tff(15993,plain,
% 5.07/3.89 (xuntil2p8(s27) | (~until2p7(s27))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15992, 12469, 15989])).
% 5.07/3.89 tff(15994,plain,
% 5.07/3.89 (~until2p7(s27)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15993, 15987])).
% 5.07/3.89 tff(15995,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(15996,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(15997,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s26, s27)) | until2p7(s27) | (~xuntil2p8(s26))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[15996, 15995])).
% 5.07/3.89 tff(15998,plain,
% 5.07/3.89 (until2p7(s27) | (~xuntil2p8(s26))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15997, 1084, 12484])).
% 5.07/3.89 tff(15999,plain,
% 5.07/3.89 (~xuntil2p8(s26)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[15998, 15994])).
% 5.07/3.89 tff(16000,plain,
% 5.07/3.89 (~always3(s26)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1097, 15988])).
% 5.07/3.89 tff(16001,plain,
% 5.07/3.89 (~node4(s26)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1101, 35, 16000])).
% 5.07/3.89 tff(16002,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16003,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s26) | xuntil2p8(s26) | (~until2p7(s26)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16004,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s26) | xuntil2p8(s26) | (~until2p7(s26))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16003, 16002])).
% 5.07/3.89 tff(16005,plain,
% 5.07/3.89 (xuntil2p8(s26) | (~until2p7(s26))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16004, 12469, 16001])).
% 5.07/3.89 tff(16006,plain,
% 5.07/3.89 (~until2p7(s26)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16005, 15999])).
% 5.07/3.89 tff(16007,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16008,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16009,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s25, s26)) | until2p7(s26) | (~xuntil2p8(s25))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16008, 16007])).
% 5.07/3.89 tff(16010,plain,
% 5.07/3.89 (until2p7(s26) | (~xuntil2p8(s25))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16009, 1113, 12484])).
% 5.07/3.89 tff(16011,plain,
% 5.07/3.89 (~xuntil2p8(s25)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16010, 16006])).
% 5.07/3.89 tff(16012,plain,
% 5.07/3.89 (~always3(s25)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1126, 16000])).
% 5.07/3.89 tff(16013,plain,
% 5.07/3.89 (~node4(s25)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1130, 35, 16012])).
% 5.07/3.89 tff(16014,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16015,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s25) | xuntil2p8(s25) | (~until2p7(s25)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16016,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s25) | xuntil2p8(s25) | (~until2p7(s25))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16015, 16014])).
% 5.07/3.89 tff(16017,plain,
% 5.07/3.89 (xuntil2p8(s25) | (~until2p7(s25))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16016, 12469, 16013])).
% 5.07/3.89 tff(16018,plain,
% 5.07/3.89 (~until2p7(s25)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16017, 16011])).
% 5.07/3.89 tff(16019,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16020,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16021,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s24, s25)) | until2p7(s25) | (~xuntil2p8(s24))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16020, 16019])).
% 5.07/3.89 tff(16022,plain,
% 5.07/3.89 (until2p7(s25) | (~xuntil2p8(s24))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16021, 1142, 12484])).
% 5.07/3.89 tff(16023,plain,
% 5.07/3.89 (~xuntil2p8(s24)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16022, 16018])).
% 5.07/3.89 tff(16024,plain,
% 5.07/3.89 (~always3(s24)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1155, 16012])).
% 5.07/3.89 tff(16025,plain,
% 5.07/3.89 (~node4(s24)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1159, 35, 16024])).
% 5.07/3.89 tff(16026,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16027,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s24) | xuntil2p8(s24) | (~until2p7(s24)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16028,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s24) | xuntil2p8(s24) | (~until2p7(s24))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16027, 16026])).
% 5.07/3.89 tff(16029,plain,
% 5.07/3.89 (xuntil2p8(s24) | (~until2p7(s24))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16028, 12469, 16025])).
% 5.07/3.89 tff(16030,plain,
% 5.07/3.89 (~until2p7(s24)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16029, 16023])).
% 5.07/3.89 tff(16031,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16032,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16033,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s23, s24)) | until2p7(s24) | (~xuntil2p8(s23))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16032, 16031])).
% 5.07/3.89 tff(16034,plain,
% 5.07/3.89 (until2p7(s24) | (~xuntil2p8(s23))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16033, 1171, 12484])).
% 5.07/3.89 tff(16035,plain,
% 5.07/3.89 (~xuntil2p8(s23)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16034, 16030])).
% 5.07/3.89 tff(16036,plain,
% 5.07/3.89 (~always3(s23)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1184, 16024])).
% 5.07/3.89 tff(16037,plain,
% 5.07/3.89 (~node4(s23)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1188, 35, 16036])).
% 5.07/3.89 tff(16038,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16039,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s23) | xuntil2p8(s23) | (~until2p7(s23)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16040,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s23) | xuntil2p8(s23) | (~until2p7(s23))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16039, 16038])).
% 5.07/3.89 tff(16041,plain,
% 5.07/3.89 (xuntil2p8(s23) | (~until2p7(s23))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16040, 12469, 16037])).
% 5.07/3.89 tff(16042,plain,
% 5.07/3.89 (~until2p7(s23)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16041, 16035])).
% 5.07/3.89 tff(16043,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16044,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16045,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s22, s23)) | until2p7(s23) | (~xuntil2p8(s22))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16044, 16043])).
% 5.07/3.89 tff(16046,plain,
% 5.07/3.89 (until2p7(s23) | (~xuntil2p8(s22))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16045, 1200, 12484])).
% 5.07/3.89 tff(16047,plain,
% 5.07/3.89 (~xuntil2p8(s22)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16046, 16042])).
% 5.07/3.89 tff(16048,plain,
% 5.07/3.89 (~always3(s22)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1213, 16036])).
% 5.07/3.89 tff(16049,plain,
% 5.07/3.89 (~node4(s22)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1217, 35, 16048])).
% 5.07/3.89 tff(16050,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16051,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s22) | xuntil2p8(s22) | (~until2p7(s22)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16052,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s22) | xuntil2p8(s22) | (~until2p7(s22))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16051, 16050])).
% 5.07/3.89 tff(16053,plain,
% 5.07/3.89 (xuntil2p8(s22) | (~until2p7(s22))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16052, 12469, 16049])).
% 5.07/3.89 tff(16054,plain,
% 5.07/3.89 (~until2p7(s22)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16053, 16047])).
% 5.07/3.89 tff(16055,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16056,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16057,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s21, s22)) | until2p7(s22) | (~xuntil2p8(s21))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16056, 16055])).
% 5.07/3.89 tff(16058,plain,
% 5.07/3.89 (until2p7(s22) | (~xuntil2p8(s21))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16057, 1229, 12484])).
% 5.07/3.89 tff(16059,plain,
% 5.07/3.89 (~xuntil2p8(s21)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16058, 16054])).
% 5.07/3.89 tff(16060,plain,
% 5.07/3.89 (~always3(s21)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1242, 16048])).
% 5.07/3.89 tff(16061,plain,
% 5.07/3.89 (~node4(s21)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1506, 35, 16060])).
% 5.07/3.89 tff(16062,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16063,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s21) | xuntil2p8(s21) | (~until2p7(s21)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16064,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s21) | xuntil2p8(s21) | (~until2p7(s21))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16063, 16062])).
% 5.07/3.89 tff(16065,plain,
% 5.07/3.89 (xuntil2p8(s21) | (~until2p7(s21))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16064, 12469, 16061])).
% 5.07/3.89 tff(16066,plain,
% 5.07/3.89 (~until2p7(s21)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16065, 16059])).
% 5.07/3.89 tff(16067,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16068,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16069,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s20, s21)) | until2p7(s21) | (~xuntil2p8(s20))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16068, 16067])).
% 5.07/3.89 tff(16070,plain,
% 5.07/3.89 (until2p7(s21) | (~xuntil2p8(s20))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16069, 1246, 12484])).
% 5.07/3.89 tff(16071,plain,
% 5.07/3.89 (~xuntil2p8(s20)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16070, 16066])).
% 5.07/3.89 tff(16072,plain,
% 5.07/3.89 (~always3(s20)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1254, 16060])).
% 5.07/3.89 tff(16073,plain,
% 5.07/3.89 (~node4(s20)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1489, 35, 16072])).
% 5.07/3.89 tff(16074,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16075,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s20) | xuntil2p8(s20) | (~until2p7(s20)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16076,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s20) | xuntil2p8(s20) | (~until2p7(s20))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16075, 16074])).
% 5.07/3.89 tff(16077,plain,
% 5.07/3.89 (xuntil2p8(s20) | (~until2p7(s20))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16076, 12469, 16073])).
% 5.07/3.89 tff(16078,plain,
% 5.07/3.89 (~until2p7(s20)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16077, 16071])).
% 5.07/3.89 tff(16079,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16080,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16081,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s19, s20)) | until2p7(s20) | (~xuntil2p8(s19))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16080, 16079])).
% 5.07/3.89 tff(16082,plain,
% 5.07/3.89 (until2p7(s20) | (~xuntil2p8(s19))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16081, 1258, 12484])).
% 5.07/3.89 tff(16083,plain,
% 5.07/3.89 (~xuntil2p8(s19)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16082, 16078])).
% 5.07/3.89 tff(16084,plain,
% 5.07/3.89 (~always3(s19)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1266, 16072])).
% 5.07/3.89 tff(16085,plain,
% 5.07/3.89 (~node4(s19)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1472, 35, 16084])).
% 5.07/3.89 tff(16086,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16087,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s19) | xuntil2p8(s19) | (~until2p7(s19)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16088,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s19) | xuntil2p8(s19) | (~until2p7(s19))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16087, 16086])).
% 5.07/3.89 tff(16089,plain,
% 5.07/3.89 (xuntil2p8(s19) | (~until2p7(s19))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16088, 12469, 16085])).
% 5.07/3.89 tff(16090,plain,
% 5.07/3.89 (~until2p7(s19)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16089, 16083])).
% 5.07/3.89 tff(16091,plain,
% 5.07/3.89 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16092,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16093,plain,
% 5.07/3.89 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s18, s19)) | until2p7(s19) | (~xuntil2p8(s18))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16092, 16091])).
% 5.07/3.89 tff(16094,plain,
% 5.07/3.89 (until2p7(s19) | (~xuntil2p8(s18))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16093, 1270, 12484])).
% 5.07/3.89 tff(16095,plain,
% 5.07/3.89 (~xuntil2p8(s18)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16094, 16090])).
% 5.07/3.89 tff(16096,plain,
% 5.07/3.89 (~always3(s18)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1278, 16084])).
% 5.07/3.89 tff(16097,plain,
% 5.07/3.89 (~node4(s18)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[1455, 35, 16096])).
% 5.07/3.89 tff(16098,plain,
% 5.07/3.89 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 5.07/3.89 inference(rewrite,[status(thm)],[])).
% 5.07/3.89 tff(16099,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s18) | xuntil2p8(s18) | (~until2p7(s18)))),
% 5.07/3.89 inference(quant_inst,[status(thm)],[])).
% 5.07/3.89 tff(16100,plain,
% 5.07/3.89 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s18) | xuntil2p8(s18) | (~until2p7(s18))),
% 5.07/3.89 inference(modus_ponens,[status(thm)],[16099, 16098])).
% 5.07/3.89 tff(16101,plain,
% 5.07/3.89 (xuntil2p8(s18) | (~until2p7(s18))),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16100, 12469, 16097])).
% 5.07/3.89 tff(16102,plain,
% 5.07/3.89 (~until2p7(s18)),
% 5.07/3.89 inference(unit_resolution,[status(thm)],[16101, 16095])).
% 5.07/3.89 tff(16103,assumption,(~until2p7(s18)), introduced(assumption)).
% 5.07/3.89 tff(16104,assumption,(trans(s299, s18)), introduced(assumption)).
% 5.07/3.89 tff(16105,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s18)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s18)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16106,plain,
% 5.07/3.90 (((~trans(s299, s18)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s18)) <=> (until2p7(s18) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s18)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16107,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s18)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s18) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s18))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16106])).
% 5.07/3.90 tff(16108,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s18)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s18))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s18)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16107, 16105])).
% 5.07/3.90 tff(16109,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s18)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s18))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16110,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s18) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s18))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16109, 16108])).
% 5.07/3.90 tff(16111,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16110, 12455, 16104, 12541, 16103, 15747])).
% 5.07/3.90 tff(16112,plain,((~trans(s299, s18)) | until2p7(s18) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16113,plain,
% 5.07/3.90 (~trans(s299, s18)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16112, 16102, 12444])).
% 5.07/3.90 tff(16114,assumption,(~until2p7(s53)), introduced(assumption)).
% 5.07/3.90 tff(16115,assumption,(trans(s299, s53)), introduced(assumption)).
% 5.07/3.90 tff(16116,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s53)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s53)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16117,plain,
% 5.07/3.90 (((~trans(s299, s53)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s53)) <=> (until2p7(s53) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s53)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16118,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s53)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s53) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s53))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16117])).
% 5.07/3.90 tff(16119,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s53)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s53))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s53)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16118, 16116])).
% 5.07/3.90 tff(16120,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s53)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s53))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16121,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s53) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s53))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16120, 16119])).
% 5.07/3.90 tff(16122,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16121, 12455, 16115, 12541, 16114, 15747])).
% 5.07/3.90 tff(16123,plain,((~trans(s299, s53)) | until2p7(s53) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16124,plain,
% 5.07/3.90 (~trans(s299, s53)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16123, 15639, 12444])).
% 5.07/3.90 tff(16125,assumption,(~until2p7(s85)), introduced(assumption)).
% 5.07/3.90 tff(16126,assumption,(trans(s299, s85)), introduced(assumption)).
% 5.07/3.90 tff(16127,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s85)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s85)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16128,plain,
% 5.07/3.90 (((~trans(s299, s85)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s85)) <=> (until2p7(s85) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s85)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16129,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s85)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s85) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s85))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16128])).
% 5.07/3.90 tff(16130,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s85)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s85))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s85)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16129, 16127])).
% 5.07/3.90 tff(16131,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s85)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s85))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16132,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s85) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s85))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16131, 16130])).
% 5.07/3.90 tff(16133,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16132, 12455, 16126, 12541, 16125, 15747])).
% 5.07/3.90 tff(16134,plain,((~trans(s299, s85)) | until2p7(s85) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16135,plain,
% 5.07/3.90 (~trans(s299, s85)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16134, 15087, 12444])).
% 5.07/3.90 tff(16136,assumption,(~until2p7(s81)), introduced(assumption)).
% 5.07/3.90 tff(16137,assumption,(trans(s299, s81)), introduced(assumption)).
% 5.07/3.90 tff(16138,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s81)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s81)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16139,plain,
% 5.07/3.90 (((~trans(s299, s81)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s81)) <=> (until2p7(s81) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s81)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16140,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s81)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s81) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s81))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16139])).
% 5.07/3.90 tff(16141,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s81)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s81))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s81)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16140, 16138])).
% 5.07/3.90 tff(16142,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s81)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s81))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16143,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s81) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s81))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16142, 16141])).
% 5.07/3.90 tff(16144,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16143, 12455, 16137, 12541, 16136, 15747])).
% 5.07/3.90 tff(16145,plain,((~trans(s299, s81)) | until2p7(s81) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16146,plain,
% 5.07/3.90 (~trans(s299, s81)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16145, 15169, 12444])).
% 5.07/3.90 tff(16147,assumption,(~until2p7(s96)), introduced(assumption)).
% 5.07/3.90 tff(16148,assumption,(trans(s299, s96)), introduced(assumption)).
% 5.07/3.90 tff(16149,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s96)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s96)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16150,plain,
% 5.07/3.90 (((~trans(s299, s96)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s96)) <=> (until2p7(s96) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s96)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16151,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s96)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s96) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s96))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16150])).
% 5.07/3.90 tff(16152,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s96)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s96))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s96)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16151, 16149])).
% 5.07/3.90 tff(16153,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s96)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s96))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16154,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s96) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s96))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16153, 16152])).
% 5.07/3.90 tff(16155,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16154, 12455, 16148, 12541, 16147, 15747])).
% 5.07/3.90 tff(16156,plain,((~trans(s299, s96)) | until2p7(s96) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16157,plain,
% 5.07/3.90 (~trans(s299, s96)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16156, 14930, 12444])).
% 5.07/3.90 tff(16158,assumption,(~until2p7(s233)), introduced(assumption)).
% 5.07/3.90 tff(16159,assumption,(trans(s299, s233)), introduced(assumption)).
% 5.07/3.90 tff(16160,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s233) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s233)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s233)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16161,plain,
% 5.07/3.90 (((~trans(s299, s233)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s233)) <=> (until2p7(s233) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s233)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16162,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s233)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s233) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s233))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16161])).
% 5.07/3.90 tff(16163,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s233)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s233))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s233)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16162, 16160])).
% 5.07/3.90 tff(16164,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s233)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s233))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16165,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s233) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s233))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16164, 16163])).
% 5.07/3.90 tff(16166,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16165, 12455, 16159, 12541, 16158, 15747])).
% 5.07/3.90 tff(16167,plain,((~trans(s299, s233)) | until2p7(s233) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16168,plain,
% 5.07/3.90 (~trans(s299, s233)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16167, 12444, 13266])).
% 5.07/3.90 tff(16169,assumption,(~until2p7(s280)), introduced(assumption)).
% 5.07/3.90 tff(16170,assumption,(trans(s299, s280)), introduced(assumption)).
% 5.07/3.90 tff(16171,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s280) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s280)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s280)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16172,plain,
% 5.07/3.90 (((~trans(s299, s280)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s280)) <=> (until2p7(s280) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s280)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16173,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s280)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s280) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s280))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16172])).
% 5.07/3.90 tff(16174,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s280)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s280))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s280)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16173, 16171])).
% 5.07/3.90 tff(16175,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s280)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s280))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16176,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s280) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s280))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16175, 16174])).
% 5.07/3.90 tff(16177,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16176, 12455, 16170, 12541, 16169, 15747])).
% 5.07/3.90 tff(16178,plain,((~trans(s299, s280)) | until2p7(s280) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16179,plain,
% 5.07/3.90 (~trans(s299, s280)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16178, 12444, 12735])).
% 5.07/3.90 tff(16180,assumption,(~until2p7(s197)), introduced(assumption)).
% 5.07/3.90 tff(16181,assumption,(trans(s299, s197)), introduced(assumption)).
% 5.07/3.90 tff(16182,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s197) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s197)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s197)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16183,plain,
% 5.07/3.90 (((~trans(s299, s197)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s197)) <=> (until2p7(s197) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s197)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16184,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s197)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s197) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s197))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16183])).
% 5.07/3.90 tff(16185,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s197)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s197))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s197)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16184, 16182])).
% 5.07/3.90 tff(16186,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s197)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s197))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16187,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s197) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s197))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16186, 16185])).
% 5.07/3.90 tff(16188,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16187, 12455, 16181, 12541, 16180, 15747])).
% 5.07/3.90 tff(16189,plain,((~trans(s299, s197)) | until2p7(s197) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16190,plain,
% 5.07/3.90 (~trans(s299, s197)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16189, 12444, 13898])).
% 5.07/3.90 tff(16191,assumption,(~until2p7(s256)), introduced(assumption)).
% 5.07/3.90 tff(16192,assumption,(trans(s299, s256)), introduced(assumption)).
% 5.07/3.90 tff(16193,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s256) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s256)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s256)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16194,plain,
% 5.07/3.90 (((~trans(s299, s256)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s256)) <=> (until2p7(s256) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s256)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16195,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s256)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s256) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s256))))),
% 5.07/3.90 inference(monotonicity,[status(thm)],[16194])).
% 5.07/3.90 tff(16196,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s256)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s256))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s256)))),
% 5.07/3.90 inference(transitivity,[status(thm)],[16195, 16193])).
% 5.07/3.90 tff(16197,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s256)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s256))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16198,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s256) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s256))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16197, 16196])).
% 5.07/3.90 tff(16199,plain,
% 5.07/3.90 ($false),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16198, 12455, 16192, 12541, 16191, 15747])).
% 5.07/3.90 tff(16200,plain,((~trans(s299, s256)) | until2p7(s256) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.90 tff(16201,plain,
% 5.07/3.90 (~trans(s299, s256)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16200, 12444, 12998])).
% 5.07/3.90 tff(16202,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16203,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16204,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s17, s18)) | until2p7(s18) | (~xuntil2p8(s17))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16203, 16202])).
% 5.07/3.90 tff(16205,plain,
% 5.07/3.90 (until2p7(s18) | (~xuntil2p8(s17))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16204, 1282, 12484])).
% 5.07/3.90 tff(16206,plain,
% 5.07/3.90 (~xuntil2p8(s17)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16205, 16102])).
% 5.07/3.90 tff(16207,plain,
% 5.07/3.90 (~always3(s17)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1290, 16096])).
% 5.07/3.90 tff(16208,plain,
% 5.07/3.90 (~node4(s17)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1438, 35, 16207])).
% 5.07/3.90 tff(16209,plain,
% 5.07/3.90 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16210,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s17) | xuntil2p8(s17) | (~until2p7(s17)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16211,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s17) | xuntil2p8(s17) | (~until2p7(s17))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16210, 16209])).
% 5.07/3.90 tff(16212,plain,
% 5.07/3.90 (xuntil2p8(s17) | (~until2p7(s17))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16211, 12469, 16208])).
% 5.07/3.90 tff(16213,plain,
% 5.07/3.90 (~until2p7(s17)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16212, 16206])).
% 5.07/3.90 tff(16214,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16215,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16216,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s16, s17)) | until2p7(s17) | (~xuntil2p8(s16))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16215, 16214])).
% 5.07/3.90 tff(16217,plain,
% 5.07/3.90 (until2p7(s17) | (~xuntil2p8(s16))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16216, 1294, 12484])).
% 5.07/3.90 tff(16218,plain,
% 5.07/3.90 (~xuntil2p8(s16)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16217, 16213])).
% 5.07/3.90 tff(16219,plain,
% 5.07/3.90 (~always3(s16)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1302, 16207])).
% 5.07/3.90 tff(16220,plain,
% 5.07/3.90 (~node4(s16)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1421, 35, 16219])).
% 5.07/3.90 tff(16221,plain,
% 5.07/3.90 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16222,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s16) | xuntil2p8(s16) | (~until2p7(s16)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16223,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s16) | xuntil2p8(s16) | (~until2p7(s16))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16222, 16221])).
% 5.07/3.90 tff(16224,plain,
% 5.07/3.90 (xuntil2p8(s16) | (~until2p7(s16))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16223, 12469, 16220])).
% 5.07/3.90 tff(16225,plain,
% 5.07/3.90 (~until2p7(s16)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16224, 16218])).
% 5.07/3.90 tff(16226,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16227,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16228,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s15, s16)) | until2p7(s16) | (~xuntil2p8(s15))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16227, 16226])).
% 5.07/3.90 tff(16229,plain,
% 5.07/3.90 (until2p7(s16) | (~xuntil2p8(s15))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16228, 1306, 12484])).
% 5.07/3.90 tff(16230,plain,
% 5.07/3.90 (~xuntil2p8(s15)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16229, 16225])).
% 5.07/3.90 tff(16231,plain,
% 5.07/3.90 (~always3(s15)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1314, 16219])).
% 5.07/3.90 tff(16232,plain,
% 5.07/3.90 (~node4(s15)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1404, 35, 16231])).
% 5.07/3.90 tff(16233,plain,
% 5.07/3.90 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16234,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s15) | xuntil2p8(s15) | (~until2p7(s15)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16235,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s15) | xuntil2p8(s15) | (~until2p7(s15))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16234, 16233])).
% 5.07/3.90 tff(16236,plain,
% 5.07/3.90 (xuntil2p8(s15) | (~until2p7(s15))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16235, 12469, 16232])).
% 5.07/3.90 tff(16237,plain,
% 5.07/3.90 (~until2p7(s15)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16236, 16230])).
% 5.07/3.90 tff(16238,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16239,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16240,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s14, s15)) | until2p7(s15) | (~xuntil2p8(s14))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16239, 16238])).
% 5.07/3.90 tff(16241,plain,
% 5.07/3.90 (until2p7(s15) | (~xuntil2p8(s14))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16240, 1318, 12484])).
% 5.07/3.90 tff(16242,plain,
% 5.07/3.90 (~xuntil2p8(s14)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16241, 16237])).
% 5.07/3.90 tff(16243,plain,
% 5.07/3.90 (~always3(s14)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1326, 16231])).
% 5.07/3.90 tff(16244,plain,
% 5.07/3.90 (~node4(s14)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1387, 35, 16243])).
% 5.07/3.90 tff(16245,plain,
% 5.07/3.90 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16246,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s14) | xuntil2p8(s14) | (~until2p7(s14)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16247,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s14) | xuntil2p8(s14) | (~until2p7(s14))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16246, 16245])).
% 5.07/3.90 tff(16248,plain,
% 5.07/3.90 (xuntil2p8(s14) | (~until2p7(s14))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16247, 12469, 16244])).
% 5.07/3.90 tff(16249,plain,
% 5.07/3.90 (~until2p7(s14)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16248, 16242])).
% 5.07/3.90 tff(16250,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16251,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16252,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s13, s14)) | until2p7(s14) | (~xuntil2p8(s13))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16251, 16250])).
% 5.07/3.90 tff(16253,plain,
% 5.07/3.90 (until2p7(s14) | (~xuntil2p8(s13))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16252, 1330, 12484])).
% 5.07/3.90 tff(16254,plain,
% 5.07/3.90 (~xuntil2p8(s13)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16253, 16249])).
% 5.07/3.90 tff(16255,plain,
% 5.07/3.90 (~always3(s13)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1338, 16243])).
% 5.07/3.90 tff(16256,plain,
% 5.07/3.90 (~node4(s13)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1342, 35, 16255])).
% 5.07/3.90 tff(16257,plain,
% 5.07/3.90 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16258,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s13) | xuntil2p8(s13) | (~until2p7(s13)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16259,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s13) | xuntil2p8(s13) | (~until2p7(s13))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16258, 16257])).
% 5.07/3.90 tff(16260,plain,
% 5.07/3.90 (xuntil2p8(s13) | (~until2p7(s13))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16259, 12469, 16256])).
% 5.07/3.90 tff(16261,plain,
% 5.07/3.90 (~until2p7(s13)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16260, 16254])).
% 5.07/3.90 tff(16262,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16263,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16264,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s12, s13)) | until2p7(s13) | (~xuntil2p8(s12))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16263, 16262])).
% 5.07/3.90 tff(16265,plain,
% 5.07/3.90 (until2p7(s13) | (~xuntil2p8(s12))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16264, 1346, 12484])).
% 5.07/3.90 tff(16266,plain,
% 5.07/3.90 (~xuntil2p8(s12)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16265, 16261])).
% 5.07/3.90 tff(16267,plain,
% 5.07/3.90 (~always3(s12)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1354, 16255])).
% 5.07/3.90 tff(16268,plain,
% 5.07/3.90 (~node4(s12)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[1358, 35, 16267])).
% 5.07/3.90 tff(16269,plain,
% 5.07/3.90 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16270,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s12) | xuntil2p8(s12) | (~until2p7(s12)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16271,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s12) | xuntil2p8(s12) | (~until2p7(s12))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 5.07/3.90 tff(16272,plain,
% 5.07/3.90 (xuntil2p8(s12) | (~until2p7(s12))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16271, 12469, 16268])).
% 5.07/3.90 tff(16273,plain,
% 5.07/3.90 (~until2p7(s12)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16272, 16266])).
% 5.07/3.90 tff(16274,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16275,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16276,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s11, s12)) | until2p7(s12) | (~xuntil2p8(s11))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16275, 16274])).
% 5.07/3.90 tff(16277,plain,
% 5.07/3.90 (until2p7(s12) | (~xuntil2p8(s11))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16276, 482, 12484])).
% 5.07/3.90 tff(16278,plain,
% 5.07/3.90 (~xuntil2p8(s11)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16277, 16273])).
% 5.07/3.90 tff(16279,plain,
% 5.07/3.90 (~always3(s11)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[490, 16267])).
% 5.07/3.90 tff(16280,plain,
% 5.07/3.90 (~node4(s11)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[144, 35, 16279])).
% 5.07/3.90 tff(16281,plain,
% 5.07/3.90 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16282,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s11) | xuntil2p8(s11) | (~until2p7(s11)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16283,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s11) | xuntil2p8(s11) | (~until2p7(s11))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16282, 16281])).
% 5.07/3.90 tff(16284,plain,
% 5.07/3.90 (xuntil2p8(s11) | (~until2p7(s11))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16283, 12469, 16280])).
% 5.07/3.90 tff(16285,plain,
% 5.07/3.90 (~until2p7(s11)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16284, 16278])).
% 5.07/3.90 tff(16286,plain,
% 5.07/3.90 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16287,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16288,plain,
% 5.07/3.90 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s10, s11)) | until2p7(s11) | (~xuntil2p8(s10))),
% 5.07/3.90 inference(modus_ponens,[status(thm)],[16287, 16286])).
% 5.07/3.90 tff(16289,plain,
% 5.07/3.90 (until2p7(s11) | (~xuntil2p8(s10))),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16288, 128, 12484])).
% 5.07/3.90 tff(16290,plain,
% 5.07/3.90 (~xuntil2p8(s10)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[16289, 16285])).
% 5.07/3.90 tff(16291,plain,
% 5.07/3.90 (~always3(s10)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[136, 16279])).
% 5.07/3.90 tff(16292,plain,
% 5.07/3.90 (~node4(s10)),
% 5.07/3.90 inference(unit_resolution,[status(thm)],[140, 35, 16291])).
% 5.07/3.90 tff(16293,plain,
% 5.07/3.90 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 5.07/3.90 inference(rewrite,[status(thm)],[])).
% 5.07/3.90 tff(16294,plain,
% 5.07/3.90 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s10) | xuntil2p8(s10) | (~until2p7(s10)))),
% 5.07/3.90 inference(quant_inst,[status(thm)],[])).
% 5.07/3.90 tff(16295,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s10) | xuntil2p8(s10) | (~until2p7(s10))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 5.07/3.91 tff(16296,plain,
% 5.07/3.91 (xuntil2p8(s10) | (~until2p7(s10))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16295, 12469, 16292])).
% 5.07/3.91 tff(16297,plain,
% 5.07/3.91 (~until2p7(s10)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16296, 16290])).
% 5.07/3.91 tff(16298,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16299,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16300,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s9, s10)) | until2p7(s10) | (~xuntil2p8(s9))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16299, 16298])).
% 5.07/3.91 tff(16301,plain,
% 5.07/3.91 (until2p7(s10) | (~xuntil2p8(s9))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16300, 188, 12484])).
% 5.07/3.91 tff(16302,plain,
% 5.07/3.91 (~xuntil2p8(s9)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16301, 16297])).
% 5.07/3.91 tff(16303,plain,
% 5.07/3.91 (~always3(s9)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[201, 16291])).
% 5.07/3.91 tff(16304,plain,
% 5.07/3.91 (~node4(s9)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[205, 35, 16303])).
% 5.07/3.91 tff(16305,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16306,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s9) | xuntil2p8(s9) | (~until2p7(s9)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16307,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s9) | xuntil2p8(s9) | (~until2p7(s9))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16306, 16305])).
% 5.07/3.91 tff(16308,plain,
% 5.07/3.91 (xuntil2p8(s9) | (~until2p7(s9))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16307, 12469, 16304])).
% 5.07/3.91 tff(16309,plain,
% 5.07/3.91 (~until2p7(s9)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16308, 16302])).
% 5.07/3.91 tff(16310,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16311,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16312,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s8, s9)) | until2p7(s9) | (~xuntil2p8(s8))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16311, 16310])).
% 5.07/3.91 tff(16313,plain,
% 5.07/3.91 (until2p7(s9) | (~xuntil2p8(s8))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16312, 217, 12484])).
% 5.07/3.91 tff(16314,plain,
% 5.07/3.91 (~xuntil2p8(s8)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16313, 16309])).
% 5.07/3.91 tff(16315,plain,
% 5.07/3.91 (~always3(s8)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[230, 16303])).
% 5.07/3.91 tff(16316,plain,
% 5.07/3.91 (~node4(s8)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[234, 35, 16315])).
% 5.07/3.91 tff(16317,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16318,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s8) | xuntil2p8(s8) | (~until2p7(s8)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16319,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s8) | xuntil2p8(s8) | (~until2p7(s8))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16318, 16317])).
% 5.07/3.91 tff(16320,plain,
% 5.07/3.91 (xuntil2p8(s8) | (~until2p7(s8))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16319, 12469, 16316])).
% 5.07/3.91 tff(16321,plain,
% 5.07/3.91 (~until2p7(s8)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16320, 16314])).
% 5.07/3.91 tff(16322,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16323,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16324,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s7, s8)) | until2p7(s8) | (~xuntil2p8(s7))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16323, 16322])).
% 5.07/3.91 tff(16325,plain,
% 5.07/3.91 (until2p7(s8) | (~xuntil2p8(s7))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16324, 246, 12484])).
% 5.07/3.91 tff(16326,plain,
% 5.07/3.91 (~xuntil2p8(s7)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16325, 16321])).
% 5.07/3.91 tff(16327,plain,
% 5.07/3.91 (~always3(s7)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[259, 16315])).
% 5.07/3.91 tff(16328,plain,
% 5.07/3.91 (~node4(s7)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[263, 35, 16327])).
% 5.07/3.91 tff(16329,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16330,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s7) | xuntil2p8(s7) | (~until2p7(s7)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16331,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s7) | xuntil2p8(s7) | (~until2p7(s7))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16330, 16329])).
% 5.07/3.91 tff(16332,plain,
% 5.07/3.91 (xuntil2p8(s7) | (~until2p7(s7))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16331, 12469, 16328])).
% 5.07/3.91 tff(16333,plain,
% 5.07/3.91 (~until2p7(s7)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16332, 16326])).
% 5.07/3.91 tff(16334,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16335,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16336,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s6, s7)) | until2p7(s7) | (~xuntil2p8(s6))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16335, 16334])).
% 5.07/3.91 tff(16337,plain,
% 5.07/3.91 (until2p7(s7) | (~xuntil2p8(s6))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16336, 275, 12484])).
% 5.07/3.91 tff(16338,plain,
% 5.07/3.91 (~xuntil2p8(s6)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16337, 16333])).
% 5.07/3.91 tff(16339,plain,
% 5.07/3.91 (~always3(s6)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[288, 16327])).
% 5.07/3.91 tff(16340,plain,
% 5.07/3.91 (~node4(s6)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[292, 35, 16339])).
% 5.07/3.91 tff(16341,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16342,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s6) | xuntil2p8(s6) | (~until2p7(s6)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16343,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s6) | xuntil2p8(s6) | (~until2p7(s6))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16342, 16341])).
% 5.07/3.91 tff(16344,plain,
% 5.07/3.91 (xuntil2p8(s6) | (~until2p7(s6))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16343, 12469, 16340])).
% 5.07/3.91 tff(16345,plain,
% 5.07/3.91 (~until2p7(s6)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16344, 16338])).
% 5.07/3.91 tff(16346,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16347,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16348,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s5, s6)) | until2p7(s6) | (~xuntil2p8(s5))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16347, 16346])).
% 5.07/3.91 tff(16349,plain,
% 5.07/3.91 (until2p7(s6) | (~xuntil2p8(s5))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16348, 304, 12484])).
% 5.07/3.91 tff(16350,plain,
% 5.07/3.91 (~xuntil2p8(s5)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16349, 16345])).
% 5.07/3.91 tff(16351,plain,
% 5.07/3.91 (~always3(s5)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[312, 16339])).
% 5.07/3.91 tff(16352,plain,
% 5.07/3.91 (~node4(s5)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[463, 35, 16351])).
% 5.07/3.91 tff(16353,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16354,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s5) | xuntil2p8(s5) | (~until2p7(s5)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16355,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s5) | xuntil2p8(s5) | (~until2p7(s5))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16354, 16353])).
% 5.07/3.91 tff(16356,plain,
% 5.07/3.91 (xuntil2p8(s5) | (~until2p7(s5))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16355, 12469, 16352])).
% 5.07/3.91 tff(16357,plain,
% 5.07/3.91 (~until2p7(s5)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16356, 16350])).
% 5.07/3.91 tff(16358,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16359,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16360,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s4, s5)) | until2p7(s5) | (~xuntil2p8(s4))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16359, 16358])).
% 5.07/3.91 tff(16361,plain,
% 5.07/3.91 (until2p7(s5) | (~xuntil2p8(s4))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16360, 316, 12484])).
% 5.07/3.91 tff(16362,plain,
% 5.07/3.91 (~xuntil2p8(s4)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16361, 16357])).
% 5.07/3.91 tff(16363,plain,
% 5.07/3.91 (~always3(s4)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[324, 16351])).
% 5.07/3.91 tff(16364,plain,
% 5.07/3.91 (~node4(s4)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[446, 35, 16363])).
% 5.07/3.91 tff(16365,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16366,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s4) | xuntil2p8(s4) | (~until2p7(s4)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16367,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s4) | xuntil2p8(s4) | (~until2p7(s4))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16366, 16365])).
% 5.07/3.91 tff(16368,plain,
% 5.07/3.91 (xuntil2p8(s4) | (~until2p7(s4))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16367, 12469, 16364])).
% 5.07/3.91 tff(16369,plain,
% 5.07/3.91 (~until2p7(s4)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16368, 16362])).
% 5.07/3.91 tff(16370,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16371,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16372,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s3, s4)) | until2p7(s4) | (~xuntil2p8(s3))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16371, 16370])).
% 5.07/3.91 tff(16373,plain,
% 5.07/3.91 (until2p7(s4) | (~xuntil2p8(s3))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16372, 328, 12484])).
% 5.07/3.91 tff(16374,plain,
% 5.07/3.91 (~xuntil2p8(s3)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16373, 16369])).
% 5.07/3.91 tff(16375,plain,
% 5.07/3.91 (~always3(s3)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[336, 16363])).
% 5.07/3.91 tff(16376,plain,
% 5.07/3.91 (~node4(s3)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[429, 35, 16375])).
% 5.07/3.91 tff(16377,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16378,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s3) | xuntil2p8(s3) | (~until2p7(s3)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16379,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s3) | xuntil2p8(s3) | (~until2p7(s3))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16378, 16377])).
% 5.07/3.91 tff(16380,plain,
% 5.07/3.91 (xuntil2p8(s3) | (~until2p7(s3))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16379, 12469, 16376])).
% 5.07/3.91 tff(16381,plain,
% 5.07/3.91 (~until2p7(s3)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16380, 16374])).
% 5.07/3.91 tff(16382,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16383,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16384,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s2, s3)) | until2p7(s3) | (~xuntil2p8(s2))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16383, 16382])).
% 5.07/3.91 tff(16385,plain,
% 5.07/3.91 (until2p7(s3) | (~xuntil2p8(s2))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16384, 340, 12484])).
% 5.07/3.91 tff(16386,plain,
% 5.07/3.91 (~xuntil2p8(s2)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16385, 16381])).
% 5.07/3.91 tff(16387,plain,
% 5.07/3.91 (~always3(s2)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[348, 16375])).
% 5.07/3.91 tff(16388,plain,
% 5.07/3.91 (~node4(s2)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[412, 35, 16387])).
% 5.07/3.91 tff(16389,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16390,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s2) | xuntil2p8(s2) | (~until2p7(s2)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16391,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s2) | xuntil2p8(s2) | (~until2p7(s2))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16390, 16389])).
% 5.07/3.91 tff(16392,plain,
% 5.07/3.91 (xuntil2p8(s2) | (~until2p7(s2))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16391, 12469, 16388])).
% 5.07/3.91 tff(16393,plain,
% 5.07/3.91 (~until2p7(s2)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16392, 16386])).
% 5.07/3.91 tff(16394,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16395,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16396,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s1, s2)) | until2p7(s2) | (~xuntil2p8(s1))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16395, 16394])).
% 5.07/3.91 tff(16397,plain,
% 5.07/3.91 (until2p7(s2) | (~xuntil2p8(s1))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16396, 352, 12484])).
% 5.07/3.91 tff(16398,plain,
% 5.07/3.91 (~xuntil2p8(s1)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16397, 16393])).
% 5.07/3.91 tff(16399,plain,
% 5.07/3.91 (~always3(s1)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[360, 16387])).
% 5.07/3.91 tff(16400,plain,
% 5.07/3.91 (~node4(s1)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[364, 35, 16399])).
% 5.07/3.91 tff(16401,plain,
% 5.07/3.91 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16402,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s1) | xuntil2p8(s1) | (~until2p7(s1)))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16403,plain,
% 5.07/3.91 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s1) | xuntil2p8(s1) | (~until2p7(s1))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 5.07/3.91 tff(16404,plain,
% 5.07/3.91 (xuntil2p8(s1) | (~until2p7(s1))),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16403, 12469, 16400])).
% 5.07/3.91 tff(16405,plain,
% 5.07/3.91 (~until2p7(s1)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16404, 16398])).
% 5.07/3.91 tff(16406,assumption,(~until2p7(s1)), introduced(assumption)).
% 5.07/3.91 tff(16407,assumption,(trans(s299, s1)), introduced(assumption)).
% 5.07/3.91 tff(16408,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s1)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s1)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16409,plain,
% 5.07/3.91 (((~trans(s299, s1)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s1)) <=> (until2p7(s1) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s1)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16410,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s1)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s1) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s1))))),
% 5.07/3.91 inference(monotonicity,[status(thm)],[16409])).
% 5.07/3.91 tff(16411,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s1)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s1))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s1)))),
% 5.07/3.91 inference(transitivity,[status(thm)],[16410, 16408])).
% 5.07/3.91 tff(16412,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s1)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s1))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16413,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s1) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s1))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16412, 16411])).
% 5.07/3.91 tff(16414,plain,
% 5.07/3.91 ($false),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16413, 12455, 16407, 12541, 16406, 15747])).
% 5.07/3.91 tff(16415,plain,((~trans(s299, s1)) | until2p7(s1) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.91 tff(16416,plain,
% 5.07/3.91 (~trans(s299, s1)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16415, 16405, 12444])).
% 5.07/3.91 tff(16417,assumption,(~until2p7(s111)), introduced(assumption)).
% 5.07/3.91 tff(16418,assumption,(trans(s299, s111)), introduced(assumption)).
% 5.07/3.91 tff(16419,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s111) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s111)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s111)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16420,plain,
% 5.07/3.91 (((~trans(s299, s111)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s111)) <=> (until2p7(s111) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s111)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16421,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s111)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s111) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s111))))),
% 5.07/3.91 inference(monotonicity,[status(thm)],[16420])).
% 5.07/3.91 tff(16422,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s111)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s111))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s111)))),
% 5.07/3.91 inference(transitivity,[status(thm)],[16421, 16419])).
% 5.07/3.91 tff(16423,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s111)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s111))),
% 5.07/3.91 inference(quant_inst,[status(thm)],[])).
% 5.07/3.91 tff(16424,plain,
% 5.07/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s111) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s111))),
% 5.07/3.91 inference(modus_ponens,[status(thm)],[16423, 16422])).
% 5.07/3.91 tff(16425,plain,
% 5.07/3.91 ($false),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16424, 12455, 16418, 12541, 16417, 15747])).
% 5.07/3.91 tff(16426,plain,((~trans(s299, s111)) | until2p7(s111) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.07/3.91 tff(16427,plain,
% 5.07/3.91 (~trans(s299, s111)),
% 5.07/3.91 inference(unit_resolution,[status(thm)],[16426, 14770, 12444])).
% 5.07/3.91 tff(16428,assumption,(~until2p7(s49)), introduced(assumption)).
% 5.07/3.91 tff(16429,assumption,(trans(s299, s49)), introduced(assumption)).
% 5.07/3.91 tff(16430,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s49)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s49)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16431,plain,
% 5.07/3.91 (((~trans(s299, s49)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s49)) <=> (until2p7(s49) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s49)))),
% 5.07/3.91 inference(rewrite,[status(thm)],[])).
% 5.07/3.91 tff(16432,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s49)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s49) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s49))))),
% 5.07/3.91 inference(monotonicity,[status(thm)],[16431])).
% 5.07/3.91 tff(16433,plain,
% 5.07/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s49)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s49))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s49)))),
% 5.07/3.91 inference(transitivity,[status(thm)],[16432, 16430])).
% 5.15/3.91 tff(16434,plain,
% 5.15/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s49)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s49))),
% 5.15/3.91 inference(quant_inst,[status(thm)],[])).
% 5.15/3.91 tff(16435,plain,
% 5.15/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s49) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s49))),
% 5.15/3.91 inference(modus_ponens,[status(thm)],[16434, 16433])).
% 5.15/3.91 tff(16436,plain,
% 5.15/3.91 ($false),
% 5.15/3.91 inference(unit_resolution,[status(thm)],[16435, 12455, 16429, 12541, 16428, 15747])).
% 5.15/3.91 tff(16437,plain,((~trans(s299, s49)) | until2p7(s49) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.91 tff(16438,plain,
% 5.15/3.91 (~trans(s299, s49)),
% 5.15/3.91 inference(unit_resolution,[status(thm)],[16437, 15687, 12444])).
% 5.15/3.91 tff(16439,assumption,(~until2p7(s199)), introduced(assumption)).
% 5.15/3.91 tff(16440,assumption,(trans(s299, s199)), introduced(assumption)).
% 5.15/3.91 tff(16441,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s199) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s199)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s199)))),
% 5.15/3.91 inference(rewrite,[status(thm)],[])).
% 5.15/3.91 tff(16442,plain,
% 5.15/3.91 (((~trans(s299, s199)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s199)) <=> (until2p7(s199) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s199)))),
% 5.15/3.91 inference(rewrite,[status(thm)],[])).
% 5.15/3.91 tff(16443,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s199)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s199) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s199))))),
% 5.15/3.91 inference(monotonicity,[status(thm)],[16442])).
% 5.15/3.91 tff(16444,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s199)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s199))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s199)))),
% 5.15/3.91 inference(transitivity,[status(thm)],[16443, 16441])).
% 5.15/3.91 tff(16445,plain,
% 5.15/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s199)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s199))),
% 5.15/3.91 inference(quant_inst,[status(thm)],[])).
% 5.15/3.91 tff(16446,plain,
% 5.15/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s199) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s199))),
% 5.15/3.91 inference(modus_ponens,[status(thm)],[16445, 16444])).
% 5.15/3.91 tff(16447,plain,
% 5.15/3.91 ($false),
% 5.15/3.91 inference(unit_resolution,[status(thm)],[16446, 12455, 16440, 12541, 16439, 15747])).
% 5.15/3.91 tff(16448,plain,((~trans(s299, s199)) | until2p7(s199) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.91 tff(16449,plain,
% 5.15/3.91 (~trans(s299, s199)),
% 5.15/3.91 inference(unit_resolution,[status(thm)],[16448, 13842, 12444])).
% 5.15/3.91 tff(16450,assumption,(~until2p7(s275)), introduced(assumption)).
% 5.15/3.91 tff(16451,assumption,(trans(s299, s275)), introduced(assumption)).
% 5.15/3.91 tff(16452,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s275) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s275)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s275)))),
% 5.15/3.91 inference(rewrite,[status(thm)],[])).
% 5.15/3.91 tff(16453,plain,
% 5.15/3.91 (((~trans(s299, s275)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s275)) <=> (until2p7(s275) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s275)))),
% 5.15/3.91 inference(rewrite,[status(thm)],[])).
% 5.15/3.91 tff(16454,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s275)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s275) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s275))))),
% 5.15/3.91 inference(monotonicity,[status(thm)],[16453])).
% 5.15/3.91 tff(16455,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s275)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s275))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s275)))),
% 5.15/3.91 inference(transitivity,[status(thm)],[16454, 16452])).
% 5.15/3.91 tff(16456,plain,
% 5.15/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s275)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s275))),
% 5.15/3.91 inference(quant_inst,[status(thm)],[])).
% 5.15/3.91 tff(16457,plain,
% 5.15/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s275) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s275))),
% 5.15/3.91 inference(modus_ponens,[status(thm)],[16456, 16455])).
% 5.15/3.91 tff(16458,plain,
% 5.15/3.91 ($false),
% 5.15/3.91 inference(unit_resolution,[status(thm)],[16457, 12455, 16451, 12541, 16450, 15747])).
% 5.15/3.91 tff(16459,plain,((~trans(s299, s275)) | until2p7(s275) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.91 tff(16460,plain,
% 5.15/3.91 (~trans(s299, s275)),
% 5.15/3.91 inference(unit_resolution,[status(thm)],[16459, 12790, 12444])).
% 5.15/3.91 tff(16461,assumption,(~until2p7(s193)), introduced(assumption)).
% 5.15/3.91 tff(16462,assumption,(trans(s299, s193)), introduced(assumption)).
% 5.15/3.91 tff(16463,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s193) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s193)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s193)))),
% 5.15/3.91 inference(rewrite,[status(thm)],[])).
% 5.15/3.91 tff(16464,plain,
% 5.15/3.91 (((~trans(s299, s193)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s193)) <=> (until2p7(s193) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s193)))),
% 5.15/3.91 inference(rewrite,[status(thm)],[])).
% 5.15/3.91 tff(16465,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s193)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s193) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s193))))),
% 5.15/3.91 inference(monotonicity,[status(thm)],[16464])).
% 5.15/3.91 tff(16466,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s193)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s193))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s193)))),
% 5.15/3.91 inference(transitivity,[status(thm)],[16465, 16463])).
% 5.15/3.91 tff(16467,plain,
% 5.15/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s193)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s193))),
% 5.15/3.91 inference(quant_inst,[status(thm)],[])).
% 5.15/3.91 tff(16468,plain,
% 5.15/3.91 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s193) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s193))),
% 5.15/3.91 inference(modus_ponens,[status(thm)],[16467, 16466])).
% 5.15/3.91 tff(16469,plain,
% 5.15/3.91 ($false),
% 5.15/3.91 inference(unit_resolution,[status(thm)],[16468, 12455, 16462, 12541, 16461, 15747])).
% 5.15/3.91 tff(16470,plain,((~trans(s299, s193)) | until2p7(s193) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.91 tff(16471,plain,
% 5.15/3.91 (~trans(s299, s193)),
% 5.15/3.91 inference(unit_resolution,[status(thm)],[16470, 13942, 12444])).
% 5.15/3.91 tff(16472,assumption,(~until2p7(s250)), introduced(assumption)).
% 5.15/3.91 tff(16473,assumption,(trans(s299, s250)), introduced(assumption)).
% 5.15/3.91 tff(16474,plain,
% 5.15/3.91 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s250) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s250)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s250)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16475,plain,
% 5.15/3.92 (((~trans(s299, s250)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s250)) <=> (until2p7(s250) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s250)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16476,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s250)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s250) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s250))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16475])).
% 5.15/3.92 tff(16477,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s250)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s250))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s250)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16476, 16474])).
% 5.15/3.92 tff(16478,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s250)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s250))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16479,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s250) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s250))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16478, 16477])).
% 5.15/3.92 tff(16480,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16479, 12455, 16473, 12541, 16472, 15747])).
% 5.15/3.92 tff(16481,plain,((~trans(s299, s250)) | until2p7(s250) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16482,plain,
% 5.15/3.92 (~trans(s299, s250)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16481, 13093, 12444])).
% 5.15/3.92 tff(16483,assumption,(~until2p7(s88)), introduced(assumption)).
% 5.15/3.92 tff(16484,assumption,(trans(s299, s88)), introduced(assumption)).
% 5.15/3.92 tff(16485,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s88)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s88)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16486,plain,
% 5.15/3.92 (((~trans(s299, s88)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s88)) <=> (until2p7(s88) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s88)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16487,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s88)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s88) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s88))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16486])).
% 5.15/3.92 tff(16488,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s88)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s88))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s88)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16487, 16485])).
% 5.15/3.92 tff(16489,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s88)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s88))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16490,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s88) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s88))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16489, 16488])).
% 5.15/3.92 tff(16491,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16490, 12455, 16484, 12541, 16483, 15747])).
% 5.15/3.92 tff(16492,plain,((~trans(s299, s88)) | until2p7(s88) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16493,plain,
% 5.15/3.92 (~trans(s299, s88)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16492, 15051, 12444])).
% 5.15/3.92 tff(16494,assumption,(~until2p7(s267)), introduced(assumption)).
% 5.15/3.92 tff(16495,assumption,(trans(s299, s267)), introduced(assumption)).
% 5.15/3.92 tff(16496,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s267) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s267)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s267)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16497,plain,
% 5.15/3.92 (((~trans(s299, s267)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s267)) <=> (until2p7(s267) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s267)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16498,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s267)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s267) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s267))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16497])).
% 5.15/3.92 tff(16499,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s267)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s267))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s267)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16498, 16496])).
% 5.15/3.92 tff(16500,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s267)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s267))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16501,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s267) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s267))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16500, 16499])).
% 5.15/3.92 tff(16502,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16501, 12455, 16495, 12541, 16494, 15747])).
% 5.15/3.92 tff(16503,plain,((~trans(s299, s267)) | until2p7(s267) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16504,plain,
% 5.15/3.92 (~trans(s299, s267)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16503, 12877, 12444])).
% 5.15/3.92 tff(16505,assumption,(~until2p7(s248)), introduced(assumption)).
% 5.15/3.92 tff(16506,assumption,(trans(s299, s248)), introduced(assumption)).
% 5.15/3.92 tff(16507,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s248) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s248)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s248)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16508,plain,
% 5.15/3.92 (((~trans(s299, s248)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s248)) <=> (until2p7(s248) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s248)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16509,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s248)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s248) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s248))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16508])).
% 5.15/3.92 tff(16510,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s248)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s248))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s248)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16509, 16507])).
% 5.15/3.92 tff(16511,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s248)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s248))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16512,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s248) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s248))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16511, 16510])).
% 5.15/3.92 tff(16513,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16512, 12455, 16506, 12541, 16505, 15747])).
% 5.15/3.92 tff(16514,plain,((~trans(s299, s248)) | until2p7(s248) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16515,plain,
% 5.15/3.92 (~trans(s299, s248)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16514, 13113, 12444])).
% 5.15/3.92 tff(16516,assumption,(~until2p7(s284)), introduced(assumption)).
% 5.15/3.92 tff(16517,assumption,(trans(s299, s284)), introduced(assumption)).
% 5.15/3.92 tff(16518,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s284) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s284)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s284)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16519,plain,
% 5.15/3.92 (((~trans(s299, s284)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s284)) <=> (until2p7(s284) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s284)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16520,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s284)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s284) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s284))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16519])).
% 5.15/3.92 tff(16521,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s284)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s284))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s284)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16520, 16518])).
% 5.15/3.92 tff(16522,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s284)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s284))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16523,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s284) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s284))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16522, 16521])).
% 5.15/3.92 tff(16524,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16523, 12455, 16517, 12541, 16516, 15747])).
% 5.15/3.92 tff(16525,plain,((~trans(s299, s284)) | until2p7(s284) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16526,plain,
% 5.15/3.92 (~trans(s299, s284)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16525, 12691, 12444])).
% 5.15/3.92 tff(16527,assumption,(~until2p7(s110)), introduced(assumption)).
% 5.15/3.92 tff(16528,assumption,(trans(s299, s110)), introduced(assumption)).
% 5.15/3.92 tff(16529,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s110) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s110)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s110)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16530,plain,
% 5.15/3.92 (((~trans(s299, s110)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s110)) <=> (until2p7(s110) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s110)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16531,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s110)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s110) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s110))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16530])).
% 5.15/3.92 tff(16532,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s110)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s110))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s110)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16531, 16529])).
% 5.15/3.92 tff(16533,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s110)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s110))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16534,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s110) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s110))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16533, 16532])).
% 5.15/3.92 tff(16535,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16534, 12455, 16528, 12541, 16527, 15747])).
% 5.15/3.92 tff(16536,plain,((~trans(s299, s110)) | until2p7(s110) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16537,plain,
% 5.15/3.92 (~trans(s299, s110)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16536, 14780, 12444])).
% 5.15/3.92 tff(16538,assumption,(~until2p7(s113)), introduced(assumption)).
% 5.15/3.92 tff(16539,assumption,(trans(s299, s113)), introduced(assumption)).
% 5.15/3.92 tff(16540,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s113) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s113)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s113)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16541,plain,
% 5.15/3.92 (((~trans(s299, s113)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s113)) <=> (until2p7(s113) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s113)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16542,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s113)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s113) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s113))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16541])).
% 5.15/3.92 tff(16543,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s113)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s113))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s113)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16542, 16540])).
% 5.15/3.92 tff(16544,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s113)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s113))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16545,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s113) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s113))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16544, 16543])).
% 5.15/3.92 tff(16546,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16545, 12455, 16539, 12541, 16538, 15747])).
% 5.15/3.92 tff(16547,plain,((~trans(s299, s113)) | until2p7(s113) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16548,plain,
% 5.15/3.92 (~trans(s299, s113)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16547, 14750, 12444])).
% 5.15/3.92 tff(16549,assumption,(~until2p7(s120)), introduced(assumption)).
% 5.15/3.92 tff(16550,assumption,(trans(s299, s120)), introduced(assumption)).
% 5.15/3.92 tff(16551,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s120) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s120)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s120)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16552,plain,
% 5.15/3.92 (((~trans(s299, s120)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s120)) <=> (until2p7(s120) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s120)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16553,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s120)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s120) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s120))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16552])).
% 5.15/3.92 tff(16554,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s120)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s120))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s120)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16553, 16551])).
% 5.15/3.92 tff(16555,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s120)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s120))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16556,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s120) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s120))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16555, 16554])).
% 5.15/3.92 tff(16557,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16556, 12455, 16550, 12541, 16549, 15747])).
% 5.15/3.92 tff(16558,plain,((~trans(s299, s120)) | until2p7(s120) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16559,plain,
% 5.15/3.92 (~trans(s299, s120)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16558, 14680, 12444])).
% 5.15/3.92 tff(16560,assumption,(~until2p7(s153)), introduced(assumption)).
% 5.15/3.92 tff(16561,assumption,(trans(s299, s153)), introduced(assumption)).
% 5.15/3.92 tff(16562,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s153) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s153)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s153)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16563,plain,
% 5.15/3.92 (((~trans(s299, s153)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s153)) <=> (until2p7(s153) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s153)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16564,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s153)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s153) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s153))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16563])).
% 5.15/3.92 tff(16565,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s153)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s153))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s153)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16564, 16562])).
% 5.15/3.92 tff(16566,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s153)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s153))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16567,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s153) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s153))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16566, 16565])).
% 5.15/3.92 tff(16568,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16567, 12455, 16561, 12541, 16560, 15747])).
% 5.15/3.92 tff(16569,plain,((~trans(s299, s153)) | until2p7(s153) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16570,plain,
% 5.15/3.92 (~trans(s299, s153)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16569, 14350, 12444])).
% 5.15/3.92 tff(16571,assumption,(~until2p7(s273)), introduced(assumption)).
% 5.15/3.92 tff(16572,assumption,(trans(s299, s273)), introduced(assumption)).
% 5.15/3.92 tff(16573,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s273) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s273)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s273)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16574,plain,
% 5.15/3.92 (((~trans(s299, s273)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s273)) <=> (until2p7(s273) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s273)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16575,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s273)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s273) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s273))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16574])).
% 5.15/3.92 tff(16576,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s273)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s273))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s273)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16575, 16573])).
% 5.15/3.92 tff(16577,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s273)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s273))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16578,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s273) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s273))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16577, 16576])).
% 5.15/3.92 tff(16579,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16578, 12455, 16572, 12541, 16571, 15747])).
% 5.15/3.92 tff(16580,plain,((~trans(s299, s273)) | until2p7(s273) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16581,plain,
% 5.15/3.92 (~trans(s299, s273)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16580, 12812, 12444])).
% 5.15/3.92 tff(16582,assumption,(~until2p7(s272)), introduced(assumption)).
% 5.15/3.92 tff(16583,assumption,(trans(s299, s272)), introduced(assumption)).
% 5.15/3.92 tff(16584,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s272) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s272)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s272)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16585,plain,
% 5.15/3.92 (((~trans(s299, s272)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s272)) <=> (until2p7(s272) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s272)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16586,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s272)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s272) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s272))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16585])).
% 5.15/3.92 tff(16587,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s272)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s272))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s272)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16586, 16584])).
% 5.15/3.92 tff(16588,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s272)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s272))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16589,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s272) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s272))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 5.15/3.92 tff(16590,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16589, 12455, 16583, 12541, 16582, 15747])).
% 5.15/3.92 tff(16591,plain,((~trans(s299, s272)) | until2p7(s272) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16592,plain,
% 5.15/3.92 (~trans(s299, s272)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16591, 12823, 12444])).
% 5.15/3.92 tff(16593,assumption,(~until2p7(s161)), introduced(assumption)).
% 5.15/3.92 tff(16594,assumption,(trans(s299, s161)), introduced(assumption)).
% 5.15/3.92 tff(16595,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s161) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s161)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s161)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16596,plain,
% 5.15/3.92 (((~trans(s299, s161)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s161)) <=> (until2p7(s161) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s161)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16597,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s161)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s161) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s161))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16596])).
% 5.15/3.92 tff(16598,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s161)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s161))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s161)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16597, 16595])).
% 5.15/3.92 tff(16599,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s161)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s161))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16600,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s161) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s161))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16599, 16598])).
% 5.15/3.92 tff(16601,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16600, 12455, 16594, 12541, 16593, 15747])).
% 5.15/3.92 tff(16602,plain,((~trans(s299, s161)) | until2p7(s161) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16603,plain,
% 5.15/3.92 (~trans(s299, s161)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16602, 14270, 12444])).
% 5.15/3.92 tff(16604,assumption,(~until2p7(s55)), introduced(assumption)).
% 5.15/3.92 tff(16605,assumption,(trans(s299, s55)), introduced(assumption)).
% 5.15/3.92 tff(16606,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s55)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s55)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16607,plain,
% 5.15/3.92 (((~trans(s299, s55)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s55)) <=> (until2p7(s55) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s55)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16608,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s55)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s55) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s55))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16607])).
% 5.15/3.92 tff(16609,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s55)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s55))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s55)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16608, 16606])).
% 5.15/3.92 tff(16610,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s55)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s55))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16611,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s55) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s55))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16610, 16609])).
% 5.15/3.92 tff(16612,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16611, 12455, 16605, 12541, 16604, 15747])).
% 5.15/3.92 tff(16613,plain,((~trans(s299, s55)) | until2p7(s55) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16614,plain,
% 5.15/3.92 (~trans(s299, s55)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16613, 15617, 12444])).
% 5.15/3.92 tff(16615,assumption,(~until2p7(s78)), introduced(assumption)).
% 5.15/3.92 tff(16616,assumption,(trans(s299, s78)), introduced(assumption)).
% 5.15/3.92 tff(16617,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s78)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s78)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16618,plain,
% 5.15/3.92 (((~trans(s299, s78)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s78)) <=> (until2p7(s78) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s78)))),
% 5.15/3.92 inference(rewrite,[status(thm)],[])).
% 5.15/3.92 tff(16619,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s78)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s78) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s78))))),
% 5.15/3.92 inference(monotonicity,[status(thm)],[16618])).
% 5.15/3.92 tff(16620,plain,
% 5.15/3.92 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s78)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s78))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s78)))),
% 5.15/3.92 inference(transitivity,[status(thm)],[16619, 16617])).
% 5.15/3.92 tff(16621,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s78)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s78))),
% 5.15/3.92 inference(quant_inst,[status(thm)],[])).
% 5.15/3.92 tff(16622,plain,
% 5.15/3.92 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s78) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s78))),
% 5.15/3.92 inference(modus_ponens,[status(thm)],[16621, 16620])).
% 5.15/3.92 tff(16623,plain,
% 5.15/3.92 ($false),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16622, 12455, 16616, 12541, 16615, 15747])).
% 5.15/3.92 tff(16624,plain,((~trans(s299, s78)) | until2p7(s78) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.92 tff(16625,plain,
% 5.15/3.92 (~trans(s299, s78)),
% 5.15/3.92 inference(unit_resolution,[status(thm)],[16624, 15239, 12444])).
% 5.15/3.92 tff(16626,assumption,(~until2p7(s33)), introduced(assumption)).
% 5.15/3.92 tff(16627,assumption,(trans(s299, s33)), introduced(assumption)).
% 5.15/3.93 tff(16628,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s33)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s33)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16629,plain,
% 5.15/3.93 (((~trans(s299, s33)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s33)) <=> (until2p7(s33) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s33)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16630,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s33)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s33) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s33))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16629])).
% 5.15/3.93 tff(16631,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s33)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s33))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s33)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16630, 16628])).
% 5.15/3.93 tff(16632,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s33)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s33))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16633,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s33) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s33))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16632, 16631])).
% 5.15/3.93 tff(16634,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16633, 12455, 16627, 12541, 16626, 15747])).
% 5.15/3.93 tff(16635,plain,((~trans(s299, s33)) | until2p7(s33) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16636,plain,
% 5.15/3.93 (~trans(s299, s33)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16635, 15922, 12444])).
% 5.15/3.93 tff(16637,assumption,(~until2p7(s152)), introduced(assumption)).
% 5.15/3.93 tff(16638,assumption,(trans(s299, s152)), introduced(assumption)).
% 5.15/3.93 tff(16639,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s152) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s152)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s152)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16640,plain,
% 5.15/3.93 (((~trans(s299, s152)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s152)) <=> (until2p7(s152) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s152)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16641,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s152)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s152) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s152))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16640])).
% 5.15/3.93 tff(16642,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s152)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s152))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s152)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16641, 16639])).
% 5.15/3.93 tff(16643,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s152)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s152))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16644,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s152) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s152))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16643, 16642])).
% 5.15/3.93 tff(16645,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16644, 12455, 16638, 12541, 16637, 15747])).
% 5.15/3.93 tff(16646,plain,((~trans(s299, s152)) | until2p7(s152) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16647,plain,
% 5.15/3.93 (~trans(s299, s152)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16646, 14360, 12444])).
% 5.15/3.93 tff(16648,assumption,(~until2p7(s191)), introduced(assumption)).
% 5.15/3.93 tff(16649,assumption,(trans(s299, s191)), introduced(assumption)).
% 5.15/3.93 tff(16650,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s191) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s191)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s191)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16651,plain,
% 5.15/3.93 (((~trans(s299, s191)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s191)) <=> (until2p7(s191) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s191)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16652,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s191)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s191) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s191))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16651])).
% 5.15/3.93 tff(16653,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s191)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s191))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s191)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16652, 16650])).
% 5.15/3.93 tff(16654,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s191)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s191))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16655,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s191) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s191))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16654, 16653])).
% 5.15/3.93 tff(16656,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16655, 12455, 16649, 12541, 16648, 15747])).
% 5.15/3.93 tff(16657,plain,((~trans(s299, s191)) | until2p7(s191) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16658,plain,
% 5.15/3.93 (~trans(s299, s191)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16657, 13964, 12444])).
% 5.15/3.93 tff(16659,assumption,(~until2p7(s21)), introduced(assumption)).
% 5.15/3.93 tff(16660,assumption,(trans(s299, s21)), introduced(assumption)).
% 5.15/3.93 tff(16661,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s21)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s21)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16662,plain,
% 5.15/3.93 (((~trans(s299, s21)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s21)) <=> (until2p7(s21) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s21)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16663,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s21)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s21) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s21))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16662])).
% 5.15/3.93 tff(16664,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s21)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s21))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s21)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16663, 16661])).
% 5.15/3.93 tff(16665,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s21)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s21))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16666,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s21) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s21))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16665, 16664])).
% 5.15/3.93 tff(16667,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16666, 12455, 16660, 12541, 16659, 15747])).
% 5.15/3.93 tff(16668,plain,((~trans(s299, s21)) | until2p7(s21) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16669,plain,
% 5.15/3.93 (~trans(s299, s21)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16668, 16066, 12444])).
% 5.15/3.93 tff(16670,assumption,(~until2p7(s160)), introduced(assumption)).
% 5.15/3.93 tff(16671,assumption,(trans(s299, s160)), introduced(assumption)).
% 5.15/3.93 tff(16672,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s160) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s160)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s160)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16673,plain,
% 5.15/3.93 (((~trans(s299, s160)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s160)) <=> (until2p7(s160) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s160)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16674,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s160)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s160) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s160))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16673])).
% 5.15/3.93 tff(16675,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s160)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s160))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s160)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16674, 16672])).
% 5.15/3.93 tff(16676,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s160)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s160))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16677,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s160) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s160))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16676, 16675])).
% 5.15/3.93 tff(16678,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16677, 12455, 16671, 12541, 16670, 15747])).
% 5.15/3.93 tff(16679,plain,((~trans(s299, s160)) | until2p7(s160) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16680,plain,
% 5.15/3.93 (~trans(s299, s160)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16679, 14280, 12444])).
% 5.15/3.93 tff(16681,assumption,(~until2p7(s106)), introduced(assumption)).
% 5.15/3.93 tff(16682,assumption,(trans(s299, s106)), introduced(assumption)).
% 5.15/3.93 tff(16683,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s106) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s106)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s106)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16684,plain,
% 5.15/3.93 (((~trans(s299, s106)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s106)) <=> (until2p7(s106) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s106)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16685,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s106)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s106) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s106))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16684])).
% 5.15/3.93 tff(16686,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s106)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s106))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s106)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16685, 16683])).
% 5.15/3.93 tff(16687,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s106)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s106))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16688,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s106) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s106))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16687, 16686])).
% 5.15/3.93 tff(16689,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16688, 12455, 16682, 12541, 16681, 15747])).
% 5.15/3.93 tff(16690,plain,((~trans(s299, s106)) | until2p7(s106) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16691,plain,
% 5.15/3.93 (~trans(s299, s106)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16690, 14820, 12444])).
% 5.15/3.93 tff(16692,assumption,(~until2p7(s209)), introduced(assumption)).
% 5.15/3.93 tff(16693,assumption,(trans(s299, s209)), introduced(assumption)).
% 5.15/3.93 tff(16694,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s209) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s209)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s209)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16695,plain,
% 5.15/3.93 (((~trans(s299, s209)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s209)) <=> (until2p7(s209) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s209)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16696,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s209)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s209) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s209))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16695])).
% 5.15/3.93 tff(16697,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s209)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s209))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s209)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16696, 16694])).
% 5.15/3.93 tff(16698,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s209)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s209))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16699,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s209) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s209))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16698, 16697])).
% 5.15/3.93 tff(16700,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16699, 12455, 16693, 12541, 16692, 15747])).
% 5.15/3.93 tff(16701,plain,((~trans(s299, s209)) | until2p7(s209) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16702,plain,
% 5.15/3.93 (~trans(s299, s209)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16701, 13665, 12444])).
% 5.15/3.93 tff(16703,assumption,(~until2p7(s174)), introduced(assumption)).
% 5.15/3.93 tff(16704,assumption,(trans(s299, s174)), introduced(assumption)).
% 5.15/3.93 tff(16705,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s174) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s174)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s174)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16706,plain,
% 5.15/3.93 (((~trans(s299, s174)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s174)) <=> (until2p7(s174) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s174)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16707,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s174)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s174) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s174))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16706])).
% 5.15/3.93 tff(16708,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s174)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s174))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s174)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16707, 16705])).
% 5.15/3.93 tff(16709,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s174)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s174))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16710,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s174) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s174))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16709, 16708])).
% 5.15/3.93 tff(16711,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16710, 12455, 16704, 12541, 16703, 15747])).
% 5.15/3.93 tff(16712,plain,((~trans(s299, s174)) | until2p7(s174) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16713,plain,
% 5.15/3.93 (~trans(s299, s174)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16712, 14140, 12444])).
% 5.15/3.93 tff(16714,assumption,(~until2p7(s229)), introduced(assumption)).
% 5.15/3.93 tff(16715,assumption,(trans(s299, s229)), introduced(assumption)).
% 5.15/3.93 tff(16716,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s229) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s229)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s229)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16717,plain,
% 5.15/3.93 (((~trans(s299, s229)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s229)) <=> (until2p7(s229) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s229)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16718,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s229)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s229) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s229))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16717])).
% 5.15/3.93 tff(16719,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s229)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s229))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s229)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16718, 16716])).
% 5.15/3.93 tff(16720,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s229)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s229))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16721,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s229) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s229))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16720, 16719])).
% 5.15/3.93 tff(16722,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16721, 12455, 16715, 12541, 16714, 15747])).
% 5.15/3.93 tff(16723,plain,((~trans(s299, s229)) | until2p7(s229) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16724,plain,
% 5.15/3.93 (~trans(s299, s229)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16723, 13344, 12444])).
% 5.15/3.93 tff(16725,assumption,(~until2p7(s188)), introduced(assumption)).
% 5.15/3.93 tff(16726,assumption,(trans(s299, s188)), introduced(assumption)).
% 5.15/3.93 tff(16727,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s188) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s188)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s188)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16728,plain,
% 5.15/3.93 (((~trans(s299, s188)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s188)) <=> (until2p7(s188) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s188)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16729,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s188)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s188) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s188))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16728])).
% 5.15/3.93 tff(16730,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s188)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s188))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s188)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16729, 16727])).
% 5.15/3.93 tff(16731,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s188)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s188))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16732,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s188) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s188))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16731, 16730])).
% 5.15/3.93 tff(16733,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16732, 12455, 16726, 12541, 16725, 15747])).
% 5.15/3.93 tff(16734,plain,((~trans(s299, s188)) | until2p7(s188) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16735,plain,
% 5.15/3.93 (~trans(s299, s188)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16734, 13997, 12444])).
% 5.15/3.93 tff(16736,assumption,(~until2p7(s186)), introduced(assumption)).
% 5.15/3.93 tff(16737,assumption,(trans(s299, s186)), introduced(assumption)).
% 5.15/3.93 tff(16738,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s186) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s186)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s186)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16739,plain,
% 5.15/3.93 (((~trans(s299, s186)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s186)) <=> (until2p7(s186) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s186)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16740,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s186)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s186) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s186))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16739])).
% 5.15/3.93 tff(16741,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s186)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s186))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s186)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16740, 16738])).
% 5.15/3.93 tff(16742,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s186)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s186))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16743,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s186) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s186))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16742, 16741])).
% 5.15/3.93 tff(16744,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16743, 12455, 16737, 12541, 16736, 15747])).
% 5.15/3.93 tff(16745,plain,((~trans(s299, s186)) | until2p7(s186) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16746,plain,
% 5.15/3.93 (~trans(s299, s186)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16745, 14019, 12444])).
% 5.15/3.93 tff(16747,assumption,(~until2p7(s38)), introduced(assumption)).
% 5.15/3.93 tff(16748,assumption,(trans(s299, s38)), introduced(assumption)).
% 5.15/3.93 tff(16749,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s38)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s38)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16750,plain,
% 5.15/3.93 (((~trans(s299, s38)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s38)) <=> (until2p7(s38) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s38)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16751,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s38)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s38) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s38))))),
% 5.15/3.93 inference(monotonicity,[status(thm)],[16750])).
% 5.15/3.93 tff(16752,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s38)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s38))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s38)))),
% 5.15/3.93 inference(transitivity,[status(thm)],[16751, 16749])).
% 5.15/3.93 tff(16753,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s38)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s38))),
% 5.15/3.93 inference(quant_inst,[status(thm)],[])).
% 5.15/3.93 tff(16754,plain,
% 5.15/3.93 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s38) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s38))),
% 5.15/3.93 inference(modus_ponens,[status(thm)],[16753, 16752])).
% 5.15/3.93 tff(16755,plain,
% 5.15/3.93 ($false),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16754, 12455, 16748, 12541, 16747, 15747])).
% 5.15/3.93 tff(16756,plain,((~trans(s299, s38)) | until2p7(s38) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.93 tff(16757,plain,
% 5.15/3.93 (~trans(s299, s38)),
% 5.15/3.93 inference(unit_resolution,[status(thm)],[16756, 15863, 12444])).
% 5.15/3.93 tff(16758,assumption,(~until2p7(s72)), introduced(assumption)).
% 5.15/3.93 tff(16759,assumption,(trans(s299, s72)), introduced(assumption)).
% 5.15/3.93 tff(16760,plain,
% 5.15/3.93 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s72)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s72)))),
% 5.15/3.93 inference(rewrite,[status(thm)],[])).
% 5.15/3.93 tff(16761,plain,
% 5.15/3.94 (((~trans(s299, s72)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s72)) <=> (until2p7(s72) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s72)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16762,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s72)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s72) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s72))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16761])).
% 5.15/3.94 tff(16763,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s72)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s72))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s72)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16762, 16760])).
% 5.15/3.94 tff(16764,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s72)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s72))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16765,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s72) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s72))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16764, 16763])).
% 5.15/3.94 tff(16766,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16765, 12455, 16759, 12541, 16758, 15747])).
% 5.15/3.94 tff(16767,plain,((~trans(s299, s72)) | until2p7(s72) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16768,plain,
% 5.15/3.94 (~trans(s299, s72)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16767, 15345, 12444])).
% 5.15/3.94 tff(16769,assumption,(~until2p7(s218)), introduced(assumption)).
% 5.15/3.94 tff(16770,assumption,(trans(s299, s218)), introduced(assumption)).
% 5.15/3.94 tff(16771,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s218) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s218)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s218)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16772,plain,
% 5.15/3.94 (((~trans(s299, s218)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s218)) <=> (until2p7(s218) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s218)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16773,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s218)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s218) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s218))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16772])).
% 5.15/3.94 tff(16774,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s218)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s218))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s218)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16773, 16771])).
% 5.15/3.94 tff(16775,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s218)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s218))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16776,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s218) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s218))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 5.15/3.94 tff(16777,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16776, 12455, 16770, 12541, 16769, 15747])).
% 5.15/3.94 tff(16778,plain,((~trans(s299, s218)) | until2p7(s218) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16779,plain,
% 5.15/3.94 (~trans(s299, s218)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16778, 13566, 12444])).
% 5.15/3.94 tff(16780,assumption,(~until2p7(s224)), introduced(assumption)).
% 5.15/3.94 tff(16781,assumption,(trans(s299, s224)), introduced(assumption)).
% 5.15/3.94 tff(16782,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s224) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s224)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s224)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16783,plain,
% 5.15/3.94 (((~trans(s299, s224)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s224)) <=> (until2p7(s224) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s224)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16784,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s224)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s224) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s224))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16783])).
% 5.15/3.94 tff(16785,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s224)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s224))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s224)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16784, 16782])).
% 5.15/3.94 tff(16786,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s224)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s224))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16787,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s224) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s224))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16786, 16785])).
% 5.15/3.94 tff(16788,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16787, 12455, 16781, 12541, 16780, 15747])).
% 5.15/3.94 tff(16789,plain,((~trans(s299, s224)) | until2p7(s224) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16790,plain,
% 5.15/3.94 (~trans(s299, s224)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16789, 13467, 12444])).
% 5.15/3.94 tff(16791,assumption,(~until2p7(s179)), introduced(assumption)).
% 5.15/3.94 tff(16792,assumption,(trans(s299, s179)), introduced(assumption)).
% 5.15/3.94 tff(16793,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s179) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s179)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s179)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16794,plain,
% 5.15/3.94 (((~trans(s299, s179)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s179)) <=> (until2p7(s179) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s179)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16795,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s179)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s179) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s179))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16794])).
% 5.15/3.94 tff(16796,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s179)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s179))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s179)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16795, 16793])).
% 5.15/3.94 tff(16797,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s179)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s179))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16798,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s179) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s179))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16797, 16796])).
% 5.15/3.94 tff(16799,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16798, 12455, 16792, 12541, 16791, 15747])).
% 5.15/3.94 tff(16800,plain,((~trans(s299, s179)) | until2p7(s179) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16801,plain,
% 5.15/3.94 (~trans(s299, s179)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16800, 14090, 12444])).
% 5.15/3.94 tff(16802,assumption,(~until2p7(s35)), introduced(assumption)).
% 5.15/3.94 tff(16803,assumption,(trans(s299, s35)), introduced(assumption)).
% 5.15/3.94 tff(16804,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s35)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s35)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16805,plain,
% 5.15/3.94 (((~trans(s299, s35)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s35)) <=> (until2p7(s35) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s35)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16806,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s35)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s35) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s35))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16805])).
% 5.15/3.94 tff(16807,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s35)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s35))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s35)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16806, 16804])).
% 5.15/3.94 tff(16808,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s35)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s35))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16809,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s35) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s35))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16808, 16807])).
% 5.15/3.94 tff(16810,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16809, 12455, 16803, 12541, 16802, 15747])).
% 5.15/3.94 tff(16811,plain,((~trans(s299, s35)) | until2p7(s35) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16812,plain,
% 5.15/3.94 (~trans(s299, s35)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16811, 15897, 12444])).
% 5.15/3.94 tff(16813,assumption,(~until2p7(s123)), introduced(assumption)).
% 5.15/3.94 tff(16814,assumption,(trans(s299, s123)), introduced(assumption)).
% 5.15/3.94 tff(16815,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s123) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s123)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s123)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16816,plain,
% 5.15/3.94 (((~trans(s299, s123)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s123)) <=> (until2p7(s123) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s123)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16817,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s123)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s123) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s123))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16816])).
% 5.15/3.94 tff(16818,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s123)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s123))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s123)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16817, 16815])).
% 5.15/3.94 tff(16819,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s123)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s123))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16820,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s123) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s123))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16819, 16818])).
% 5.15/3.94 tff(16821,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16820, 12455, 16814, 12541, 16813, 15747])).
% 5.15/3.94 tff(16822,plain,((~trans(s299, s123)) | until2p7(s123) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16823,plain,
% 5.15/3.94 (~trans(s299, s123)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16822, 14650, 12444])).
% 5.15/3.94 tff(16824,assumption,(~until2p7(s212)), introduced(assumption)).
% 5.15/3.94 tff(16825,assumption,(trans(s299, s212)), introduced(assumption)).
% 5.15/3.94 tff(16826,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s212) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s212)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s212)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16827,plain,
% 5.15/3.94 (((~trans(s299, s212)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s212)) <=> (until2p7(s212) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s212)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16828,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s212)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s212) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s212))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16827])).
% 5.15/3.94 tff(16829,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s212)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s212))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s212)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16828, 16826])).
% 5.15/3.94 tff(16830,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s212)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s212))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16831,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s212) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s212))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16830, 16829])).
% 5.15/3.94 tff(16832,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16831, 12455, 16825, 12541, 16824, 15747])).
% 5.15/3.94 tff(16833,plain,((~trans(s299, s212)) | until2p7(s212) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16834,plain,
% 5.15/3.94 (~trans(s299, s212)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16833, 13632, 12444])).
% 5.15/3.94 tff(16835,assumption,(~until2p7(s17)), introduced(assumption)).
% 5.15/3.94 tff(16836,assumption,(trans(s299, s17)), introduced(assumption)).
% 5.15/3.94 tff(16837,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s17)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s17)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16838,plain,
% 5.15/3.94 (((~trans(s299, s17)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s17)) <=> (until2p7(s17) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s17)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16839,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s17)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s17) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s17))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16838])).
% 5.15/3.94 tff(16840,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s17)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s17))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s17)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16839, 16837])).
% 5.15/3.94 tff(16841,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s17)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s17))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16842,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s17) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s17))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16841, 16840])).
% 5.15/3.94 tff(16843,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16842, 12455, 16836, 12541, 16835, 15747])).
% 5.15/3.94 tff(16844,plain,((~trans(s299, s17)) | until2p7(s17) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16845,plain,
% 5.15/3.94 (~trans(s299, s17)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16844, 16213, 12444])).
% 5.15/3.94 tff(16846,assumption,(~until2p7(s268)), introduced(assumption)).
% 5.15/3.94 tff(16847,assumption,(trans(s299, s268)), introduced(assumption)).
% 5.15/3.94 tff(16848,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s268) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s268)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s268)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16849,plain,
% 5.15/3.94 (((~trans(s299, s268)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s268)) <=> (until2p7(s268) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s268)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16850,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s268)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s268) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s268))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16849])).
% 5.15/3.94 tff(16851,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s268)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s268))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s268)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16850, 16848])).
% 5.15/3.94 tff(16852,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s268)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s268))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16853,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s268) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s268))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16852, 16851])).
% 5.15/3.94 tff(16854,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16853, 12455, 16847, 12541, 16846, 15747])).
% 5.15/3.94 tff(16855,plain,((~trans(s299, s268)) | until2p7(s268) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16856,plain,
% 5.15/3.94 (~trans(s299, s268)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16855, 12866, 12444])).
% 5.15/3.94 tff(16857,assumption,(~until2p7(s11)), introduced(assumption)).
% 5.15/3.94 tff(16858,assumption,(trans(s299, s11)), introduced(assumption)).
% 5.15/3.94 tff(16859,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s11)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s11)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16860,plain,
% 5.15/3.94 (((~trans(s299, s11)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s11)) <=> (until2p7(s11) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s11)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16861,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s11)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s11) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s11))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16860])).
% 5.15/3.94 tff(16862,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s11)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s11))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s11)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16861, 16859])).
% 5.15/3.94 tff(16863,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s11)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s11))),
% 5.15/3.94 inference(quant_inst,[status(thm)],[])).
% 5.15/3.94 tff(16864,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s11) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s11))),
% 5.15/3.94 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 5.15/3.94 tff(16865,plain,
% 5.15/3.94 ($false),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16864, 12455, 16858, 12541, 16857, 15747])).
% 5.15/3.94 tff(16866,plain,((~trans(s299, s11)) | until2p7(s11) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.94 tff(16867,plain,
% 5.15/3.94 (~trans(s299, s11)),
% 5.15/3.94 inference(unit_resolution,[status(thm)],[16866, 16285, 12444])).
% 5.15/3.94 tff(16868,assumption,(~until2p7(s90)), introduced(assumption)).
% 5.15/3.94 tff(16869,assumption,(trans(s299, s90)), introduced(assumption)).
% 5.15/3.94 tff(16870,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s90)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s90)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16871,plain,
% 5.15/3.94 (((~trans(s299, s90)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s90)) <=> (until2p7(s90) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s90)))),
% 5.15/3.94 inference(rewrite,[status(thm)],[])).
% 5.15/3.94 tff(16872,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s90)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s90) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s90))))),
% 5.15/3.94 inference(monotonicity,[status(thm)],[16871])).
% 5.15/3.94 tff(16873,plain,
% 5.15/3.94 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s90)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s90))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s90)))),
% 5.15/3.94 inference(transitivity,[status(thm)],[16872, 16870])).
% 5.15/3.94 tff(16874,plain,
% 5.15/3.94 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s90)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s90))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16875,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s90) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s90))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16874, 16873])).
% 5.15/3.95 tff(16876,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16875, 12455, 16869, 12541, 16868, 15747])).
% 5.15/3.95 tff(16877,plain,((~trans(s299, s90)) | until2p7(s90) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16878,plain,
% 5.15/3.95 (~trans(s299, s90)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16877, 15027, 12444])).
% 5.15/3.95 tff(16879,assumption,(~until2p7(s279)), introduced(assumption)).
% 5.15/3.95 tff(16880,assumption,(trans(s299, s279)), introduced(assumption)).
% 5.15/3.95 tff(16881,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s279) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s279)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s279)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16882,plain,
% 5.15/3.95 (((~trans(s299, s279)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s279)) <=> (until2p7(s279) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s279)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16883,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s279)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s279) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s279))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16882])).
% 5.15/3.95 tff(16884,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s279)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s279))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s279)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16883, 16881])).
% 5.15/3.95 tff(16885,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s279)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s279))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16886,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s279) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s279))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16885, 16884])).
% 5.15/3.95 tff(16887,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16886, 12455, 16880, 12541, 16879, 15747])).
% 5.15/3.95 tff(16888,plain,((~trans(s299, s279)) | until2p7(s279) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16889,plain,
% 5.15/3.95 (~trans(s299, s279)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16888, 12746, 12444])).
% 5.15/3.95 tff(16890,assumption,(~until2p7(s46)), introduced(assumption)).
% 5.15/3.95 tff(16891,assumption,(trans(s299, s46)), introduced(assumption)).
% 5.15/3.95 tff(16892,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s46)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s46)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16893,plain,
% 5.15/3.95 (((~trans(s299, s46)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s46)) <=> (until2p7(s46) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s46)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16894,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s46)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s46) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s46))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16893])).
% 5.15/3.95 tff(16895,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s46)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s46))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s46)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16894, 16892])).
% 5.15/3.95 tff(16896,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s46)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s46))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16897,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s46) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s46))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16896, 16895])).
% 5.15/3.95 tff(16898,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16897, 12455, 16891, 12541, 16890, 15747])).
% 5.15/3.95 tff(16899,plain,((~trans(s299, s46)) | until2p7(s46) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16900,plain,
% 5.15/3.95 (~trans(s299, s46)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16899, 15722, 12444])).
% 5.15/3.95 tff(16901,assumption,(~until2p7(s196)), introduced(assumption)).
% 5.15/3.95 tff(16902,assumption,(trans(s299, s196)), introduced(assumption)).
% 5.15/3.95 tff(16903,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s196) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s196)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s196)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16904,plain,
% 5.15/3.95 (((~trans(s299, s196)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s196)) <=> (until2p7(s196) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s196)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16905,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s196)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s196) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s196))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16904])).
% 5.15/3.95 tff(16906,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s196)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s196))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s196)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16905, 16903])).
% 5.15/3.95 tff(16907,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s196)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s196))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16908,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s196) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s196))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16907, 16906])).
% 5.15/3.95 tff(16909,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16908, 12455, 16902, 12541, 16901, 15747])).
% 5.15/3.95 tff(16910,plain,((~trans(s299, s196)) | until2p7(s196) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16911,plain,
% 5.15/3.95 (~trans(s299, s196)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16910, 13909, 12444])).
% 5.15/3.95 tff(16912,assumption,(~until2p7(s124)), introduced(assumption)).
% 5.15/3.95 tff(16913,assumption,(trans(s299, s124)), introduced(assumption)).
% 5.15/3.95 tff(16914,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s124) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s124)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s124)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16915,plain,
% 5.15/3.95 (((~trans(s299, s124)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s124)) <=> (until2p7(s124) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s124)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16916,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s124)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s124) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s124))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16915])).
% 5.15/3.95 tff(16917,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s124)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s124))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s124)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16916, 16914])).
% 5.15/3.95 tff(16918,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s124)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s124))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16919,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s124) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s124))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16918, 16917])).
% 5.15/3.95 tff(16920,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16919, 12455, 16913, 12541, 16912, 15747])).
% 5.15/3.95 tff(16921,plain,((~trans(s299, s124)) | until2p7(s124) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16922,plain,
% 5.15/3.95 (~trans(s299, s124)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16921, 14640, 12444])).
% 5.15/3.95 tff(16923,assumption,(~until2p7(s125)), introduced(assumption)).
% 5.15/3.95 tff(16924,assumption,(trans(s299, s125)), introduced(assumption)).
% 5.15/3.95 tff(16925,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s125) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s125)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s125)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16926,plain,
% 5.15/3.95 (((~trans(s299, s125)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s125)) <=> (until2p7(s125) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s125)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16927,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s125)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s125) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s125))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16926])).
% 5.15/3.95 tff(16928,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s125)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s125))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s125)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16927, 16925])).
% 5.15/3.95 tff(16929,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s125)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s125))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16930,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s125) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s125))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16929, 16928])).
% 5.15/3.95 tff(16931,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16930, 12455, 16924, 12541, 16923, 15747])).
% 5.15/3.95 tff(16932,plain,((~trans(s299, s125)) | until2p7(s125) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16933,plain,
% 5.15/3.95 (~trans(s299, s125)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16932, 14630, 12444])).
% 5.15/3.95 tff(16934,assumption,(~until2p7(s171)), introduced(assumption)).
% 5.15/3.95 tff(16935,assumption,(trans(s299, s171)), introduced(assumption)).
% 5.15/3.95 tff(16936,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s171) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s171)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s171)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16937,plain,
% 5.15/3.95 (((~trans(s299, s171)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s171)) <=> (until2p7(s171) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s171)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16938,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s171)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s171) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s171))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16937])).
% 5.15/3.95 tff(16939,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s171)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s171))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s171)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16938, 16936])).
% 5.15/3.95 tff(16940,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s171)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s171))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16941,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s171) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s171))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16940, 16939])).
% 5.15/3.95 tff(16942,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16941, 12455, 16935, 12541, 16934, 15747])).
% 5.15/3.95 tff(16943,plain,((~trans(s299, s171)) | until2p7(s171) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16944,plain,
% 5.15/3.95 (~trans(s299, s171)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16943, 14170, 12444])).
% 5.15/3.95 tff(16945,assumption,(~until2p7(s25)), introduced(assumption)).
% 5.15/3.95 tff(16946,assumption,(trans(s299, s25)), introduced(assumption)).
% 5.15/3.95 tff(16947,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s25)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s25)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16948,plain,
% 5.15/3.95 (((~trans(s299, s25)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s25)) <=> (until2p7(s25) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s25)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16949,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s25)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s25) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s25))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16948])).
% 5.15/3.95 tff(16950,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s25)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s25))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s25)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16949, 16947])).
% 5.15/3.95 tff(16951,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s25)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s25))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16952,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s25) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s25))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16951, 16950])).
% 5.15/3.95 tff(16953,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16952, 12455, 16946, 12541, 16945, 15747])).
% 5.15/3.95 tff(16954,plain,((~trans(s299, s25)) | until2p7(s25) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16955,plain,
% 5.15/3.95 (~trans(s299, s25)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16954, 16018, 12444])).
% 5.15/3.95 tff(16956,assumption,(~until2p7(s289)), introduced(assumption)).
% 5.15/3.95 tff(16957,assumption,(trans(s299, s289)), introduced(assumption)).
% 5.15/3.95 tff(16958,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s289) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s289)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s289)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16959,plain,
% 5.15/3.95 (((~trans(s299, s289)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s289)) <=> (until2p7(s289) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s289)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16960,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s289)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s289) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s289))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16959])).
% 5.15/3.95 tff(16961,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s289)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s289))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s289)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16960, 16958])).
% 5.15/3.95 tff(16962,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s289)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s289))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16963,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s289) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s289))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 5.15/3.95 tff(16964,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16963, 12455, 16957, 12541, 16956, 15747])).
% 5.15/3.95 tff(16965,plain,((~trans(s299, s289)) | until2p7(s289) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16966,plain,
% 5.15/3.95 (~trans(s299, s289)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16965, 12602, 12444])).
% 5.15/3.95 tff(16967,assumption,(~until2p7(s137)), introduced(assumption)).
% 5.15/3.95 tff(16968,assumption,(trans(s299, s137)), introduced(assumption)).
% 5.15/3.95 tff(16969,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s137) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s137)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s137)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16970,plain,
% 5.15/3.95 (((~trans(s299, s137)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s137)) <=> (until2p7(s137) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s137)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16971,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s137)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s137) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s137))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16970])).
% 5.15/3.95 tff(16972,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s137)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s137))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s137)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16971, 16969])).
% 5.15/3.95 tff(16973,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s137)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s137))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16974,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s137) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s137))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16973, 16972])).
% 5.15/3.95 tff(16975,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16974, 12455, 16968, 12541, 16967, 15747])).
% 5.15/3.95 tff(16976,plain,((~trans(s299, s137)) | until2p7(s137) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16977,plain,
% 5.15/3.95 (~trans(s299, s137)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16976, 14510, 12444])).
% 5.15/3.95 tff(16978,assumption,(~until2p7(s264)), introduced(assumption)).
% 5.15/3.95 tff(16979,assumption,(trans(s299, s264)), introduced(assumption)).
% 5.15/3.95 tff(16980,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s264) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s264)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s264)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16981,plain,
% 5.15/3.95 (((~trans(s299, s264)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s264)) <=> (until2p7(s264) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s264)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16982,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s264)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s264) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s264))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16981])).
% 5.15/3.95 tff(16983,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s264)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s264))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s264)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16982, 16980])).
% 5.15/3.95 tff(16984,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s264)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s264))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16985,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s264) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s264))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16984, 16983])).
% 5.15/3.95 tff(16986,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16985, 12455, 16979, 12541, 16978, 15747])).
% 5.15/3.95 tff(16987,plain,((~trans(s299, s264)) | until2p7(s264) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16988,plain,
% 5.15/3.95 (~trans(s299, s264)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16987, 12910, 12444])).
% 5.15/3.95 tff(16989,assumption,(~until2p7(s100)), introduced(assumption)).
% 5.15/3.95 tff(16990,assumption,(trans(s299, s100)), introduced(assumption)).
% 5.15/3.95 tff(16991,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s100) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s100)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s100)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16992,plain,
% 5.15/3.95 (((~trans(s299, s100)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s100)) <=> (until2p7(s100) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s100)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(16993,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s100)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s100) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s100))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[16992])).
% 5.15/3.95 tff(16994,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s100)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s100))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s100)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[16993, 16991])).
% 5.15/3.95 tff(16995,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s100)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s100))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(16996,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s100) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s100))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[16995, 16994])).
% 5.15/3.95 tff(16997,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16996, 12455, 16990, 12541, 16989, 15747])).
% 5.15/3.95 tff(16998,plain,((~trans(s299, s100)) | until2p7(s100) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(16999,plain,
% 5.15/3.95 (~trans(s299, s100)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[16998, 14890, 12444])).
% 5.15/3.95 tff(17000,assumption,(~until2p7(s281)), introduced(assumption)).
% 5.15/3.95 tff(17001,assumption,(trans(s299, s281)), introduced(assumption)).
% 5.15/3.95 tff(17002,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s281) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s281)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s281)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(17003,plain,
% 5.15/3.95 (((~trans(s299, s281)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s281)) <=> (until2p7(s281) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s281)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(17004,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s281)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s281) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s281))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[17003])).
% 5.15/3.95 tff(17005,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s281)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s281))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s281)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[17004, 17002])).
% 5.15/3.95 tff(17006,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s281)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s281))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(17007,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s281) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s281))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[17006, 17005])).
% 5.15/3.95 tff(17008,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[17007, 12455, 17001, 12541, 17000, 15747])).
% 5.15/3.95 tff(17009,plain,((~trans(s299, s281)) | until2p7(s281) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(17010,plain,
% 5.15/3.95 (~trans(s299, s281)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[17009, 12724, 12444])).
% 5.15/3.95 tff(17011,assumption,(~until2p7(s26)), introduced(assumption)).
% 5.15/3.95 tff(17012,assumption,(trans(s299, s26)), introduced(assumption)).
% 5.15/3.95 tff(17013,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s26)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s26)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(17014,plain,
% 5.15/3.95 (((~trans(s299, s26)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s26)) <=> (until2p7(s26) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s26)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(17015,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s26)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s26) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s26))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[17014])).
% 5.15/3.95 tff(17016,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s26)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s26))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s26)))),
% 5.15/3.95 inference(transitivity,[status(thm)],[17015, 17013])).
% 5.15/3.95 tff(17017,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s26)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s26))),
% 5.15/3.95 inference(quant_inst,[status(thm)],[])).
% 5.15/3.95 tff(17018,plain,
% 5.15/3.95 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s26) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s26))),
% 5.15/3.95 inference(modus_ponens,[status(thm)],[17017, 17016])).
% 5.15/3.95 tff(17019,plain,
% 5.15/3.95 ($false),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[17018, 12455, 17012, 12541, 17011, 15747])).
% 5.15/3.95 tff(17020,plain,((~trans(s299, s26)) | until2p7(s26) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.95 tff(17021,plain,
% 5.15/3.95 (~trans(s299, s26)),
% 5.15/3.95 inference(unit_resolution,[status(thm)],[17020, 16006, 12444])).
% 5.15/3.95 tff(17022,assumption,(~until2p7(s195)), introduced(assumption)).
% 5.15/3.95 tff(17023,assumption,(trans(s299, s195)), introduced(assumption)).
% 5.15/3.95 tff(17024,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s195) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s195)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s195)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(17025,plain,
% 5.15/3.95 (((~trans(s299, s195)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s195)) <=> (until2p7(s195) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s195)))),
% 5.15/3.95 inference(rewrite,[status(thm)],[])).
% 5.15/3.95 tff(17026,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s195)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s195) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s195))))),
% 5.15/3.95 inference(monotonicity,[status(thm)],[17025])).
% 5.15/3.95 tff(17027,plain,
% 5.15/3.95 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s195)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s195))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s195)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17026, 17024])).
% 5.15/3.96 tff(17028,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s195)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s195))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17029,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s195) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s195))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17028, 17027])).
% 5.15/3.96 tff(17030,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17029, 12455, 17023, 12541, 17022, 15747])).
% 5.15/3.96 tff(17031,plain,((~trans(s299, s195)) | until2p7(s195) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17032,plain,
% 5.15/3.96 (~trans(s299, s195)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17031, 13920, 12444])).
% 5.15/3.96 tff(17033,assumption,(~until2p7(s50)), introduced(assumption)).
% 5.15/3.96 tff(17034,assumption,(trans(s299, s50)), introduced(assumption)).
% 5.15/3.96 tff(17035,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s50)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s50)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17036,plain,
% 5.15/3.96 (((~trans(s299, s50)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s50)) <=> (until2p7(s50) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s50)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17037,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s50)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s50) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s50))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17036])).
% 5.15/3.96 tff(17038,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s50)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s50))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s50)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17037, 17035])).
% 5.15/3.96 tff(17039,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s50)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s50))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17040,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s50) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s50))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17039, 17038])).
% 5.15/3.96 tff(17041,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17040, 12455, 17034, 12541, 17033, 15747])).
% 5.15/3.96 tff(17042,plain,((~trans(s299, s50)) | until2p7(s50) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17043,plain,
% 5.15/3.96 (~trans(s299, s50)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17042, 15674, 12444])).
% 5.15/3.96 tff(17044,assumption,(~until2p7(s154)), introduced(assumption)).
% 5.15/3.96 tff(17045,assumption,(trans(s299, s154)), introduced(assumption)).
% 5.15/3.96 tff(17046,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s154) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s154)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s154)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17047,plain,
% 5.15/3.96 (((~trans(s299, s154)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s154)) <=> (until2p7(s154) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s154)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17048,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s154)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s154) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s154))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17047])).
% 5.15/3.96 tff(17049,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s154)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s154))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s154)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17048, 17046])).
% 5.15/3.96 tff(17050,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s154)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s154))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17051,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s154) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s154))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17050, 17049])).
% 5.15/3.96 tff(17052,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17051, 12455, 17045, 12541, 17044, 15747])).
% 5.15/3.96 tff(17053,plain,((~trans(s299, s154)) | until2p7(s154) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17054,plain,
% 5.15/3.96 (~trans(s299, s154)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17053, 14340, 12444])).
% 5.15/3.96 tff(17055,assumption,(~until2p7(s60)), introduced(assumption)).
% 5.15/3.96 tff(17056,assumption,(trans(s299, s60)), introduced(assumption)).
% 5.15/3.96 tff(17057,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s60)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s60)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17058,plain,
% 5.15/3.96 (((~trans(s299, s60)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s60)) <=> (until2p7(s60) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s60)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17059,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s60)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s60) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s60))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17058])).
% 5.15/3.96 tff(17060,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s60)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s60))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s60)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17059, 17057])).
% 5.15/3.96 tff(17061,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s60)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s60))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17062,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s60) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s60))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17061, 17060])).
% 5.15/3.96 tff(17063,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17062, 12455, 17056, 12541, 17055, 15747])).
% 5.15/3.96 tff(17064,plain,((~trans(s299, s60)) | until2p7(s60) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17065,plain,
% 5.15/3.96 (~trans(s299, s60)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17064, 15523, 12444])).
% 5.15/3.96 tff(17066,assumption,(~until2p7(s167)), introduced(assumption)).
% 5.15/3.96 tff(17067,assumption,(trans(s299, s167)), introduced(assumption)).
% 5.15/3.96 tff(17068,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s167) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s167)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s167)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17069,plain,
% 5.15/3.96 (((~trans(s299, s167)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s167)) <=> (until2p7(s167) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s167)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17070,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s167)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s167) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s167))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17069])).
% 5.15/3.96 tff(17071,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s167)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s167))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s167)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17070, 17068])).
% 5.15/3.96 tff(17072,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s167)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s167))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17073,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s167) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s167))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17072, 17071])).
% 5.15/3.96 tff(17074,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17073, 12455, 17067, 12541, 17066, 15747])).
% 5.15/3.96 tff(17075,plain,((~trans(s299, s167)) | until2p7(s167) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17076,plain,
% 5.15/3.96 (~trans(s299, s167)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17075, 14210, 12444])).
% 5.15/3.96 tff(17077,assumption,(~until2p7(s236)), introduced(assumption)).
% 5.15/3.96 tff(17078,assumption,(trans(s299, s236)), introduced(assumption)).
% 5.15/3.96 tff(17079,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s236) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s236)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s236)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17080,plain,
% 5.15/3.96 (((~trans(s299, s236)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s236)) <=> (until2p7(s236) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s236)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17081,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s236)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s236) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s236))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17080])).
% 5.15/3.96 tff(17082,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s236)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s236))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s236)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17081, 17079])).
% 5.15/3.96 tff(17083,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s236)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s236))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17084,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s236) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s236))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17083, 17082])).
% 5.15/3.96 tff(17085,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17084, 12455, 17078, 12541, 17077, 15747])).
% 5.15/3.96 tff(17086,plain,((~trans(s299, s236)) | until2p7(s236) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17087,plain,
% 5.15/3.96 (~trans(s299, s236)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17086, 13233, 12444])).
% 5.15/3.96 tff(17088,assumption,(~until2p7(s192)), introduced(assumption)).
% 5.15/3.96 tff(17089,assumption,(trans(s299, s192)), introduced(assumption)).
% 5.15/3.96 tff(17090,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s192) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s192)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s192)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17091,plain,
% 5.15/3.96 (((~trans(s299, s192)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s192)) <=> (until2p7(s192) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s192)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17092,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s192)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s192) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s192))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17091])).
% 5.15/3.96 tff(17093,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s192)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s192))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s192)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17092, 17090])).
% 5.15/3.96 tff(17094,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s192)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s192))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17095,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s192) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s192))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17094, 17093])).
% 5.15/3.96 tff(17096,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17095, 12455, 17089, 12541, 17088, 15747])).
% 5.15/3.96 tff(17097,plain,((~trans(s299, s192)) | until2p7(s192) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17098,plain,
% 5.15/3.96 (~trans(s299, s192)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17097, 13953, 12444])).
% 5.15/3.96 tff(17099,assumption,(~until2p7(s163)), introduced(assumption)).
% 5.15/3.96 tff(17100,assumption,(trans(s299, s163)), introduced(assumption)).
% 5.15/3.96 tff(17101,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s163) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s163)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s163)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17102,plain,
% 5.15/3.96 (((~trans(s299, s163)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s163)) <=> (until2p7(s163) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s163)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17103,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s163)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s163) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s163))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17102])).
% 5.15/3.96 tff(17104,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s163)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s163))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s163)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17103, 17101])).
% 5.15/3.96 tff(17105,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s163)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s163))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17106,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s163) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s163))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17105, 17104])).
% 5.15/3.96 tff(17107,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17106, 12455, 17100, 12541, 17099, 15747])).
% 5.15/3.96 tff(17108,plain,((~trans(s299, s163)) | until2p7(s163) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17109,plain,
% 5.15/3.96 (~trans(s299, s163)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17108, 14250, 12444])).
% 5.15/3.96 tff(17110,assumption,(~until2p7(s225)), introduced(assumption)).
% 5.15/3.96 tff(17111,assumption,(trans(s299, s225)), introduced(assumption)).
% 5.15/3.96 tff(17112,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s225) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s225)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s225)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17113,plain,
% 5.15/3.96 (((~trans(s299, s225)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s225)) <=> (until2p7(s225) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s225)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17114,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s225)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s225) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s225))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17113])).
% 5.15/3.96 tff(17115,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s225)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s225))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s225)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17114, 17112])).
% 5.15/3.96 tff(17116,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s225)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s225))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17117,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s225) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s225))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17116, 17115])).
% 5.15/3.96 tff(17118,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17117, 12455, 17111, 12541, 17110, 15747])).
% 5.15/3.96 tff(17119,plain,((~trans(s299, s225)) | until2p7(s225) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17120,plain,
% 5.15/3.96 (~trans(s299, s225)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17119, 13422, 12444])).
% 5.15/3.96 tff(17121,assumption,(~until2p7(s98)), introduced(assumption)).
% 5.15/3.96 tff(17122,assumption,(trans(s299, s98)), introduced(assumption)).
% 5.15/3.96 tff(17123,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s98)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s98)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17124,plain,
% 5.15/3.96 (((~trans(s299, s98)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s98)) <=> (until2p7(s98) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s98)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17125,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s98)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s98) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s98))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17124])).
% 5.15/3.96 tff(17126,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s98)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s98))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s98)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17125, 17123])).
% 5.15/3.96 tff(17127,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s98)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s98))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17128,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s98) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s98))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17127, 17126])).
% 5.15/3.96 tff(17129,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17128, 12455, 17122, 12541, 17121, 15747])).
% 5.15/3.96 tff(17130,plain,((~trans(s299, s98)) | until2p7(s98) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17131,plain,
% 5.15/3.96 (~trans(s299, s98)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17130, 14910, 12444])).
% 5.15/3.96 tff(17132,assumption,(~until2p7(s143)), introduced(assumption)).
% 5.15/3.96 tff(17133,assumption,(trans(s299, s143)), introduced(assumption)).
% 5.15/3.96 tff(17134,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s143) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s143)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s143)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17135,plain,
% 5.15/3.96 (((~trans(s299, s143)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s143)) <=> (until2p7(s143) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s143)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17136,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s143)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s143) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s143))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17135])).
% 5.15/3.96 tff(17137,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s143)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s143))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s143)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17136, 17134])).
% 5.15/3.96 tff(17138,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s143)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s143))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17139,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s143) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s143))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17138, 17137])).
% 5.15/3.96 tff(17140,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17139, 12455, 17133, 12541, 17132, 15747])).
% 5.15/3.96 tff(17141,plain,((~trans(s299, s143)) | until2p7(s143) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17142,plain,
% 5.15/3.96 (~trans(s299, s143)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17141, 14450, 12444])).
% 5.15/3.96 tff(17143,assumption,(~until2p7(s172)), introduced(assumption)).
% 5.15/3.96 tff(17144,assumption,(trans(s299, s172)), introduced(assumption)).
% 5.15/3.96 tff(17145,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s172) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s172)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s172)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17146,plain,
% 5.15/3.96 (((~trans(s299, s172)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s172)) <=> (until2p7(s172) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s172)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17147,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s172)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s172) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s172))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17146])).
% 5.15/3.96 tff(17148,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s172)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s172))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s172)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17147, 17145])).
% 5.15/3.96 tff(17149,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s172)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s172))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17150,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s172) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s172))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17149, 17148])).
% 5.15/3.96 tff(17151,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17150, 12455, 17144, 12541, 17143, 15747])).
% 5.15/3.96 tff(17152,plain,((~trans(s299, s172)) | until2p7(s172) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17153,plain,
% 5.15/3.96 (~trans(s299, s172)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17152, 14160, 12444])).
% 5.15/3.96 tff(17154,assumption,(~until2p7(s76)), introduced(assumption)).
% 5.15/3.96 tff(17155,assumption,(trans(s299, s76)), introduced(assumption)).
% 5.15/3.96 tff(17156,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s76)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s76)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17157,plain,
% 5.15/3.96 (((~trans(s299, s76)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s76)) <=> (until2p7(s76) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s76)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17158,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s76)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s76) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s76))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17157])).
% 5.15/3.96 tff(17159,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s76)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s76))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s76)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17158, 17156])).
% 5.15/3.96 tff(17160,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s76)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s76))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17161,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s76) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s76))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17160, 17159])).
% 5.15/3.96 tff(17162,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17161, 12455, 17155, 12541, 17154, 15747])).
% 5.15/3.96 tff(17163,plain,((~trans(s299, s76)) | until2p7(s76) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17164,plain,
% 5.15/3.96 (~trans(s299, s76)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17163, 15296, 12444])).
% 5.15/3.96 tff(17165,assumption,(~until2p7(s257)), introduced(assumption)).
% 5.15/3.96 tff(17166,assumption,(trans(s299, s257)), introduced(assumption)).
% 5.15/3.96 tff(17167,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s257) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s257)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s257)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17168,plain,
% 5.15/3.96 (((~trans(s299, s257)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s257)) <=> (until2p7(s257) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s257)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17169,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s257)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s257) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s257))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17168])).
% 5.15/3.96 tff(17170,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s257)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s257))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s257)))),
% 5.15/3.96 inference(transitivity,[status(thm)],[17169, 17167])).
% 5.15/3.96 tff(17171,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s257)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s257))),
% 5.15/3.96 inference(quant_inst,[status(thm)],[])).
% 5.15/3.96 tff(17172,plain,
% 5.15/3.96 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s257) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s257))),
% 5.15/3.96 inference(modus_ponens,[status(thm)],[17171, 17170])).
% 5.15/3.96 tff(17173,plain,
% 5.15/3.96 ($false),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17172, 12455, 17166, 12541, 17165, 15747])).
% 5.15/3.96 tff(17174,plain,((~trans(s299, s257)) | until2p7(s257) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.96 tff(17175,plain,
% 5.15/3.96 (~trans(s299, s257)),
% 5.15/3.96 inference(unit_resolution,[status(thm)],[17174, 12987, 12444])).
% 5.15/3.96 tff(17176,assumption,(~until2p7(s278)), introduced(assumption)).
% 5.15/3.96 tff(17177,assumption,(trans(s299, s278)), introduced(assumption)).
% 5.15/3.96 tff(17178,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s278) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s278)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s278)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17179,plain,
% 5.15/3.96 (((~trans(s299, s278)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s278)) <=> (until2p7(s278) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s278)))),
% 5.15/3.96 inference(rewrite,[status(thm)],[])).
% 5.15/3.96 tff(17180,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s278)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s278) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s278))))),
% 5.15/3.96 inference(monotonicity,[status(thm)],[17179])).
% 5.15/3.96 tff(17181,plain,
% 5.15/3.96 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s278)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s278))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s278)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17180, 17178])).
% 5.15/3.97 tff(17182,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s278)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s278))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17183,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s278) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s278))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17182, 17181])).
% 5.15/3.97 tff(17184,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17183, 12455, 17177, 12541, 17176, 15747])).
% 5.15/3.97 tff(17185,plain,((~trans(s299, s278)) | until2p7(s278) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17186,plain,
% 5.15/3.97 (~trans(s299, s278)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17185, 12757, 12444])).
% 5.15/3.97 tff(17187,assumption,(~until2p7(s68)), introduced(assumption)).
% 5.15/3.97 tff(17188,assumption,(trans(s299, s68)), introduced(assumption)).
% 5.15/3.97 tff(17189,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s68)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s68)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17190,plain,
% 5.15/3.97 (((~trans(s299, s68)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s68)) <=> (until2p7(s68) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s68)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17191,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s68)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s68) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s68))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17190])).
% 5.15/3.97 tff(17192,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s68)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s68))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s68)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17191, 17189])).
% 5.15/3.97 tff(17193,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s68)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s68))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17194,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s68) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s68))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17193, 17192])).
% 5.15/3.97 tff(17195,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17194, 12455, 17188, 12541, 17187, 15747])).
% 5.15/3.97 tff(17196,plain,((~trans(s299, s68)) | until2p7(s68) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17197,plain,
% 5.15/3.97 (~trans(s299, s68)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17196, 15427, 12444])).
% 5.15/3.97 tff(17198,assumption,(~until2p7(s164)), introduced(assumption)).
% 5.15/3.97 tff(17199,assumption,(trans(s299, s164)), introduced(assumption)).
% 5.15/3.97 tff(17200,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s164) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s164)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s164)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17201,plain,
% 5.15/3.97 (((~trans(s299, s164)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s164)) <=> (until2p7(s164) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s164)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17202,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s164)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s164) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s164))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17201])).
% 5.15/3.97 tff(17203,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s164)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s164))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s164)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17202, 17200])).
% 5.15/3.97 tff(17204,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s164)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s164))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17205,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s164) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s164))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17204, 17203])).
% 5.15/3.97 tff(17206,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17205, 12455, 17199, 12541, 17198, 15747])).
% 5.15/3.97 tff(17207,plain,((~trans(s299, s164)) | until2p7(s164) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17208,plain,
% 5.15/3.97 (~trans(s299, s164)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17207, 14240, 12444])).
% 5.15/3.97 tff(17209,assumption,(~until2p7(s32)), introduced(assumption)).
% 5.15/3.97 tff(17210,assumption,(trans(s299, s32)), introduced(assumption)).
% 5.15/3.97 tff(17211,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s32)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s32)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17212,plain,
% 5.15/3.97 (((~trans(s299, s32)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s32)) <=> (until2p7(s32) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s32)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17213,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s32)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s32) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s32))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17212])).
% 5.15/3.97 tff(17214,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s32)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s32))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s32)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17213, 17211])).
% 5.15/3.97 tff(17215,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s32)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s32))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17216,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s32) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s32))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17215, 17214])).
% 5.15/3.97 tff(17217,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17216, 12455, 17210, 12541, 17209, 15747])).
% 5.15/3.97 tff(17218,plain,((~trans(s299, s32)) | until2p7(s32) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17219,plain,
% 5.15/3.97 (~trans(s299, s32)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17218, 15934, 12444])).
% 5.15/3.97 tff(17220,assumption,(~until2p7(s74)), introduced(assumption)).
% 5.15/3.97 tff(17221,assumption,(trans(s299, s74)), introduced(assumption)).
% 5.15/3.97 tff(17222,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s74)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s74)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17223,plain,
% 5.15/3.97 (((~trans(s299, s74)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s74)) <=> (until2p7(s74) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s74)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17224,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s74)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s74) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s74))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17223])).
% 5.15/3.97 tff(17225,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s74)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s74))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s74)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17224, 17222])).
% 5.15/3.97 tff(17226,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s74)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s74))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17227,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s74) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s74))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17226, 17225])).
% 5.15/3.97 tff(17228,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17227, 12455, 17221, 12541, 17220, 15747])).
% 5.15/3.97 tff(17229,plain,((~trans(s299, s74)) | until2p7(s74) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17230,plain,
% 5.15/3.97 (~trans(s299, s74)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17229, 15321, 12444])).
% 5.15/3.97 tff(17231,assumption,(~until2p7(s253)), introduced(assumption)).
% 5.15/3.97 tff(17232,assumption,(trans(s299, s253)), introduced(assumption)).
% 5.15/3.97 tff(17233,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s253) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s253)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s253)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17234,plain,
% 5.15/3.97 (((~trans(s299, s253)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s253)) <=> (until2p7(s253) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s253)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17235,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s253)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s253) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s253))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17234])).
% 5.15/3.97 tff(17236,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s253)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s253))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s253)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17235, 17233])).
% 5.15/3.97 tff(17237,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s253)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s253))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17238,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s253) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s253))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17237, 17236])).
% 5.15/3.97 tff(17239,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17238, 12455, 17232, 12541, 17231, 15747])).
% 5.15/3.97 tff(17240,plain,((~trans(s299, s253)) | until2p7(s253) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17241,plain,
% 5.15/3.97 (~trans(s299, s253)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17240, 13063, 12444])).
% 5.15/3.97 tff(17242,assumption,(~until2p7(s194)), introduced(assumption)).
% 5.15/3.97 tff(17243,assumption,(trans(s299, s194)), introduced(assumption)).
% 5.15/3.97 tff(17244,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s194) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s194)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s194)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17245,plain,
% 5.15/3.97 (((~trans(s299, s194)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s194)) <=> (until2p7(s194) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s194)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17246,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s194)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s194) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s194))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17245])).
% 5.15/3.97 tff(17247,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s194)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s194))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s194)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17246, 17244])).
% 5.15/3.97 tff(17248,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s194)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s194))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17249,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s194) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s194))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17248, 17247])).
% 5.15/3.97 tff(17250,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17249, 12455, 17243, 12541, 17242, 15747])).
% 5.15/3.97 tff(17251,plain,((~trans(s299, s194)) | until2p7(s194) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17252,plain,
% 5.15/3.97 (~trans(s299, s194)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17251, 13931, 12444])).
% 5.15/3.97 tff(17253,assumption,(~until2p7(s40)), introduced(assumption)).
% 5.15/3.97 tff(17254,assumption,(trans(s299, s40)), introduced(assumption)).
% 5.15/3.97 tff(17255,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s40)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s40)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17256,plain,
% 5.15/3.97 (((~trans(s299, s40)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s40)) <=> (until2p7(s40) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s40)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17257,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s40)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s40) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s40))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17256])).
% 5.15/3.97 tff(17258,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s40)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s40))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s40)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17257, 17255])).
% 5.15/3.97 tff(17259,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s40)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s40))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17260,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s40) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s40))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17259, 17258])).
% 5.15/3.97 tff(17261,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17260, 12455, 17254, 12541, 17253, 15747])).
% 5.15/3.97 tff(17262,plain,((~trans(s299, s40)) | until2p7(s40) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17263,plain,
% 5.15/3.97 (~trans(s299, s40)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17262, 15839, 12444])).
% 5.15/3.97 tff(17264,assumption,(~until2p7(s97)), introduced(assumption)).
% 5.15/3.97 tff(17265,assumption,(trans(s299, s97)), introduced(assumption)).
% 5.15/3.97 tff(17266,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s97)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s97)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17267,plain,
% 5.15/3.97 (((~trans(s299, s97)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s97)) <=> (until2p7(s97) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s97)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17268,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s97)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s97) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s97))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17267])).
% 5.15/3.97 tff(17269,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s97)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s97))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s97)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17268, 17266])).
% 5.15/3.97 tff(17270,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s97)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s97))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17271,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s97) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s97))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17270, 17269])).
% 5.15/3.97 tff(17272,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17271, 12455, 17265, 12541, 17264, 15747])).
% 5.15/3.97 tff(17273,plain,((~trans(s299, s97)) | until2p7(s97) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17274,plain,
% 5.15/3.97 (~trans(s299, s97)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17273, 14920, 12444])).
% 5.15/3.97 tff(17275,assumption,(~until2p7(s119)), introduced(assumption)).
% 5.15/3.97 tff(17276,assumption,(trans(s299, s119)), introduced(assumption)).
% 5.15/3.97 tff(17277,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s119) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s119)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s119)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17278,plain,
% 5.15/3.97 (((~trans(s299, s119)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s119)) <=> (until2p7(s119) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s119)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17279,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s119)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s119) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s119))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17278])).
% 5.15/3.97 tff(17280,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s119)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s119))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s119)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17279, 17277])).
% 5.15/3.97 tff(17281,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s119)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s119))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17282,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s119) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s119))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 5.15/3.97 tff(17283,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17282, 12455, 17276, 12541, 17275, 15747])).
% 5.15/3.97 tff(17284,plain,((~trans(s299, s119)) | until2p7(s119) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17285,plain,
% 5.15/3.97 (~trans(s299, s119)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17284, 14690, 12444])).
% 5.15/3.97 tff(17286,assumption,(~until2p7(s198)), introduced(assumption)).
% 5.15/3.97 tff(17287,assumption,(trans(s299, s198)), introduced(assumption)).
% 5.15/3.97 tff(17288,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s198) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s198)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s198)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17289,plain,
% 5.15/3.97 (((~trans(s299, s198)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s198)) <=> (until2p7(s198) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s198)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17290,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s198)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s198) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s198))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17289])).
% 5.15/3.97 tff(17291,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s198)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s198))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s198)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17290, 17288])).
% 5.15/3.97 tff(17292,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s198)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s198))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17293,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s198) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s198))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17292, 17291])).
% 5.15/3.97 tff(17294,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17293, 12455, 17287, 12541, 17286, 15747])).
% 5.15/3.97 tff(17295,plain,((~trans(s299, s198)) | until2p7(s198) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17296,plain,
% 5.15/3.97 (~trans(s299, s198)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17295, 13887, 12444])).
% 5.15/3.97 tff(17297,assumption,(~until2p7(s86)), introduced(assumption)).
% 5.15/3.97 tff(17298,assumption,(trans(s299, s86)), introduced(assumption)).
% 5.15/3.97 tff(17299,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s86)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s86)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17300,plain,
% 5.15/3.97 (((~trans(s299, s86)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s86)) <=> (until2p7(s86) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s86)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17301,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s86)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s86) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s86))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17300])).
% 5.15/3.97 tff(17302,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s86)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s86))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s86)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17301, 17299])).
% 5.15/3.97 tff(17303,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s86)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s86))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17304,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s86) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s86))),
% 5.15/3.97 inference(modus_ponens,[status(thm)],[17303, 17302])).
% 5.15/3.97 tff(17305,plain,
% 5.15/3.97 ($false),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17304, 12455, 17298, 12541, 17297, 15747])).
% 5.15/3.97 tff(17306,plain,((~trans(s299, s86)) | until2p7(s86) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.15/3.97 tff(17307,plain,
% 5.15/3.97 (~trans(s299, s86)),
% 5.15/3.97 inference(unit_resolution,[status(thm)],[17306, 15075, 12444])).
% 5.15/3.97 tff(17308,assumption,(~until2p7(s121)), introduced(assumption)).
% 5.15/3.97 tff(17309,assumption,(trans(s299, s121)), introduced(assumption)).
% 5.15/3.97 tff(17310,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s121) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s121)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s121)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17311,plain,
% 5.15/3.97 (((~trans(s299, s121)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s121)) <=> (until2p7(s121) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s121)))),
% 5.15/3.97 inference(rewrite,[status(thm)],[])).
% 5.15/3.97 tff(17312,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s121)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s121) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s121))))),
% 5.15/3.97 inference(monotonicity,[status(thm)],[17311])).
% 5.15/3.97 tff(17313,plain,
% 5.15/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s121)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s121))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s121)))),
% 5.15/3.97 inference(transitivity,[status(thm)],[17312, 17310])).
% 5.15/3.97 tff(17314,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s121)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s121))),
% 5.15/3.97 inference(quant_inst,[status(thm)],[])).
% 5.15/3.97 tff(17315,plain,
% 5.15/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s121) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s121))),
% 5.21/3.97 inference(modus_ponens,[status(thm)],[17314, 17313])).
% 5.21/3.97 tff(17316,plain,
% 5.21/3.97 ($false),
% 5.21/3.97 inference(unit_resolution,[status(thm)],[17315, 12455, 17309, 12541, 17308, 15747])).
% 5.21/3.97 tff(17317,plain,((~trans(s299, s121)) | until2p7(s121) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.97 tff(17318,plain,
% 5.21/3.97 (~trans(s299, s121)),
% 5.21/3.97 inference(unit_resolution,[status(thm)],[17317, 14670, 12444])).
% 5.21/3.97 tff(17319,assumption,(~until2p7(s89)), introduced(assumption)).
% 5.21/3.97 tff(17320,assumption,(trans(s299, s89)), introduced(assumption)).
% 5.21/3.97 tff(17321,plain,
% 5.21/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s89)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s89)))),
% 5.21/3.97 inference(rewrite,[status(thm)],[])).
% 5.21/3.97 tff(17322,plain,
% 5.21/3.97 (((~trans(s299, s89)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s89)) <=> (until2p7(s89) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s89)))),
% 5.21/3.97 inference(rewrite,[status(thm)],[])).
% 5.21/3.97 tff(17323,plain,
% 5.21/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s89)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s89) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s89))))),
% 5.21/3.97 inference(monotonicity,[status(thm)],[17322])).
% 5.21/3.97 tff(17324,plain,
% 5.21/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s89)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s89))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s89)))),
% 5.21/3.97 inference(transitivity,[status(thm)],[17323, 17321])).
% 5.21/3.97 tff(17325,plain,
% 5.21/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s89)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s89))),
% 5.21/3.97 inference(quant_inst,[status(thm)],[])).
% 5.21/3.97 tff(17326,plain,
% 5.21/3.97 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s89) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s89))),
% 5.21/3.97 inference(modus_ponens,[status(thm)],[17325, 17324])).
% 5.21/3.97 tff(17327,plain,
% 5.21/3.97 ($false),
% 5.21/3.97 inference(unit_resolution,[status(thm)],[17326, 12455, 17320, 12541, 17319, 15747])).
% 5.21/3.97 tff(17328,plain,((~trans(s299, s89)) | until2p7(s89) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.97 tff(17329,plain,
% 5.21/3.97 (~trans(s299, s89)),
% 5.21/3.97 inference(unit_resolution,[status(thm)],[17328, 15039, 12444])).
% 5.21/3.97 tff(17330,assumption,(~until2p7(s208)), introduced(assumption)).
% 5.21/3.97 tff(17331,assumption,(trans(s299, s208)), introduced(assumption)).
% 5.21/3.97 tff(17332,plain,
% 5.21/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s208) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s208)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s208)))),
% 5.21/3.97 inference(rewrite,[status(thm)],[])).
% 5.21/3.97 tff(17333,plain,
% 5.21/3.97 (((~trans(s299, s208)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s208)) <=> (until2p7(s208) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s208)))),
% 5.21/3.97 inference(rewrite,[status(thm)],[])).
% 5.21/3.97 tff(17334,plain,
% 5.21/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s208)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s208) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s208))))),
% 5.21/3.97 inference(monotonicity,[status(thm)],[17333])).
% 5.21/3.97 tff(17335,plain,
% 5.21/3.97 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s208)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s208))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s208)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17334, 17332])).
% 5.21/3.98 tff(17336,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s208)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s208))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17337,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s208) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s208))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17336, 17335])).
% 5.21/3.98 tff(17338,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17337, 12455, 17331, 12541, 17330, 15747])).
% 5.21/3.98 tff(17339,plain,((~trans(s299, s208)) | until2p7(s208) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17340,plain,
% 5.21/3.98 (~trans(s299, s208)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17339, 13710, 12444])).
% 5.21/3.98 tff(17341,assumption,(~until2p7(s294)), introduced(assumption)).
% 5.21/3.98 tff(17342,assumption,(trans(s299, s294)), introduced(assumption)).
% 5.21/3.98 tff(17343,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s294) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s294)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s294)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17344,plain,
% 5.21/3.98 (((~trans(s299, s294)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s294)) <=> (until2p7(s294) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s294)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17345,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s294)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s294) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s294))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17344])).
% 5.21/3.98 tff(17346,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s294)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s294))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s294)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17345, 17343])).
% 5.21/3.98 tff(17347,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s294)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s294))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17348,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s294) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s294))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17347, 17346])).
% 5.21/3.98 tff(17349,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17348, 12455, 17342, 12541, 17341, 15747])).
% 5.21/3.98 tff(17350,plain,((~trans(s299, s294)) | until2p7(s294) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17351,plain,
% 5.21/3.98 (~trans(s299, s294)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17350, 12551, 12444])).
% 5.21/3.98 tff(17352,assumption,(~until2p7(s12)), introduced(assumption)).
% 5.21/3.98 tff(17353,assumption,(trans(s299, s12)), introduced(assumption)).
% 5.21/3.98 tff(17354,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s12)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s12)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17355,plain,
% 5.21/3.98 (((~trans(s299, s12)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s12)) <=> (until2p7(s12) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s12)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17356,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s12)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s12) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s12))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17355])).
% 5.21/3.98 tff(17357,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s12)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s12))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s12)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17356, 17354])).
% 5.21/3.98 tff(17358,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s12)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s12))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17359,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s12) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s12))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17358, 17357])).
% 5.21/3.98 tff(17360,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17359, 12455, 17353, 12541, 17352, 15747])).
% 5.21/3.98 tff(17361,plain,((~trans(s299, s12)) | until2p7(s12) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17362,plain,
% 5.21/3.98 (~trans(s299, s12)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17361, 16273, 12444])).
% 5.21/3.98 tff(17363,assumption,(~until2p7(s23)), introduced(assumption)).
% 5.21/3.98 tff(17364,assumption,(trans(s299, s23)), introduced(assumption)).
% 5.21/3.98 tff(17365,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s23)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s23)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17366,plain,
% 5.21/3.98 (((~trans(s299, s23)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s23)) <=> (until2p7(s23) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s23)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17367,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s23)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s23) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s23))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17366])).
% 5.21/3.98 tff(17368,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s23)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s23))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s23)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17367, 17365])).
% 5.21/3.98 tff(17369,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s23)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s23))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17370,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s23) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s23))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 5.21/3.98 tff(17371,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17370, 12455, 17364, 12541, 17363, 15747])).
% 5.21/3.98 tff(17372,plain,((~trans(s299, s23)) | until2p7(s23) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17373,plain,
% 5.21/3.98 (~trans(s299, s23)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17372, 16042, 12444])).
% 5.21/3.98 tff(17374,assumption,(~until2p7(s116)), introduced(assumption)).
% 5.21/3.98 tff(17375,assumption,(trans(s299, s116)), introduced(assumption)).
% 5.21/3.98 tff(17376,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s116) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s116)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s116)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17377,plain,
% 5.21/3.98 (((~trans(s299, s116)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s116)) <=> (until2p7(s116) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s116)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17378,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s116)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s116) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s116))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17377])).
% 5.21/3.98 tff(17379,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s116)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s116))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s116)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17378, 17376])).
% 5.21/3.98 tff(17380,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s116)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s116))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17381,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s116) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s116))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17380, 17379])).
% 5.21/3.98 tff(17382,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17381, 12455, 17375, 12541, 17374, 15747])).
% 5.21/3.98 tff(17383,plain,((~trans(s299, s116)) | until2p7(s116) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17384,plain,
% 5.21/3.98 (~trans(s299, s116)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17383, 14720, 12444])).
% 5.21/3.98 tff(17385,assumption,(~until2p7(s115)), introduced(assumption)).
% 5.21/3.98 tff(17386,assumption,(trans(s299, s115)), introduced(assumption)).
% 5.21/3.98 tff(17387,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s115) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s115)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s115)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17388,plain,
% 5.21/3.98 (((~trans(s299, s115)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s115)) <=> (until2p7(s115) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s115)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17389,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s115)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s115) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s115))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17388])).
% 5.21/3.98 tff(17390,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s115)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s115))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s115)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17389, 17387])).
% 5.21/3.98 tff(17391,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s115)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s115))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17392,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s115) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s115))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17391, 17390])).
% 5.21/3.98 tff(17393,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17392, 12455, 17386, 12541, 17385, 15747])).
% 5.21/3.98 tff(17394,plain,((~trans(s299, s115)) | until2p7(s115) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17395,plain,
% 5.21/3.98 (~trans(s299, s115)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17394, 14730, 12444])).
% 5.21/3.98 tff(17396,assumption,(~until2p7(s39)), introduced(assumption)).
% 5.21/3.98 tff(17397,assumption,(trans(s299, s39)), introduced(assumption)).
% 5.21/3.98 tff(17398,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s39)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s39)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17399,plain,
% 5.21/3.98 (((~trans(s299, s39)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s39)) <=> (until2p7(s39) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s39)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17400,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s39)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s39) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s39))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17399])).
% 5.21/3.98 tff(17401,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s39)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s39))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s39)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17400, 17398])).
% 5.21/3.98 tff(17402,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s39)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s39))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17403,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s39) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s39))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17402, 17401])).
% 5.21/3.98 tff(17404,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17403, 12455, 17397, 12541, 17396, 15747])).
% 5.21/3.98 tff(17405,plain,((~trans(s299, s39)) | until2p7(s39) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17406,plain,
% 5.21/3.98 (~trans(s299, s39)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17405, 15851, 12444])).
% 5.21/3.98 tff(17407,assumption,(~until2p7(s13)), introduced(assumption)).
% 5.21/3.98 tff(17408,assumption,(trans(s299, s13)), introduced(assumption)).
% 5.21/3.98 tff(17409,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s13)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s13)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17410,plain,
% 5.21/3.98 (((~trans(s299, s13)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s13)) <=> (until2p7(s13) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s13)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17411,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s13)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s13) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s13))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17410])).
% 5.21/3.98 tff(17412,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s13)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s13))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s13)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17411, 17409])).
% 5.21/3.98 tff(17413,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s13)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s13))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17414,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s13) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s13))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17413, 17412])).
% 5.21/3.98 tff(17415,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17414, 12455, 17408, 12541, 17407, 15747])).
% 5.21/3.98 tff(17416,plain,((~trans(s299, s13)) | until2p7(s13) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17417,plain,
% 5.21/3.98 (~trans(s299, s13)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17416, 16261, 12444])).
% 5.21/3.98 tff(17418,assumption,(~until2p7(s99)), introduced(assumption)).
% 5.21/3.98 tff(17419,assumption,(trans(s299, s99)), introduced(assumption)).
% 5.21/3.98 tff(17420,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s99)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s99)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17421,plain,
% 5.21/3.98 (((~trans(s299, s99)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s99)) <=> (until2p7(s99) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s99)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17422,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s99)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s99) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s99))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17421])).
% 5.21/3.98 tff(17423,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s99)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s99))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s99)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17422, 17420])).
% 5.21/3.98 tff(17424,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s99)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s99))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17425,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s99) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s99))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 5.21/3.98 tff(17426,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17425, 12455, 17419, 12541, 17418, 15747])).
% 5.21/3.98 tff(17427,plain,((~trans(s299, s99)) | until2p7(s99) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17428,plain,
% 5.21/3.98 (~trans(s299, s99)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17427, 14900, 12444])).
% 5.21/3.98 tff(17429,assumption,(~until2p7(s66)), introduced(assumption)).
% 5.21/3.98 tff(17430,assumption,(trans(s299, s66)), introduced(assumption)).
% 5.21/3.98 tff(17431,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s66)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s66)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17432,plain,
% 5.21/3.98 (((~trans(s299, s66)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s66)) <=> (until2p7(s66) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s66)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17433,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s66)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s66) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s66))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17432])).
% 5.21/3.98 tff(17434,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s66)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s66))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s66)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17433, 17431])).
% 5.21/3.98 tff(17435,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s66)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s66))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17436,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s66) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s66))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17435, 17434])).
% 5.21/3.98 tff(17437,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17436, 12455, 17430, 12541, 17429, 15747])).
% 5.21/3.98 tff(17438,plain,((~trans(s299, s66)) | until2p7(s66) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17439,plain,
% 5.21/3.98 (~trans(s299, s66)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17438, 15451, 12444])).
% 5.21/3.98 tff(17440,assumption,(~until2p7(s41)), introduced(assumption)).
% 5.21/3.98 tff(17441,assumption,(trans(s299, s41)), introduced(assumption)).
% 5.21/3.98 tff(17442,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s41)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s41)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17443,plain,
% 5.21/3.98 (((~trans(s299, s41)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s41)) <=> (until2p7(s41) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s41)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17444,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s41)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s41) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s41))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17443])).
% 5.21/3.98 tff(17445,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s41)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s41))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s41)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17444, 17442])).
% 5.21/3.98 tff(17446,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s41)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s41))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17447,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s41) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s41))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17446, 17445])).
% 5.21/3.98 tff(17448,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17447, 12455, 17441, 12541, 17440, 15747])).
% 5.21/3.98 tff(17449,plain,((~trans(s299, s41)) | until2p7(s41) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17450,plain,
% 5.21/3.98 (~trans(s299, s41)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17449, 15827, 12444])).
% 5.21/3.98 tff(17451,assumption,(~until2p7(s251)), introduced(assumption)).
% 5.21/3.98 tff(17452,assumption,(trans(s299, s251)), introduced(assumption)).
% 5.21/3.98 tff(17453,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s251) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s251)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s251)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17454,plain,
% 5.21/3.98 (((~trans(s299, s251)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s251)) <=> (until2p7(s251) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s251)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17455,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s251)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s251) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s251))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17454])).
% 5.21/3.98 tff(17456,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s251)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s251))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s251)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17455, 17453])).
% 5.21/3.98 tff(17457,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s251)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s251))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17458,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s251) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s251))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17457, 17456])).
% 5.21/3.98 tff(17459,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17458, 12455, 17452, 12541, 17451, 15747])).
% 5.21/3.98 tff(17460,plain,((~trans(s299, s251)) | until2p7(s251) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17461,plain,
% 5.21/3.98 (~trans(s299, s251)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17460, 13083, 12444])).
% 5.21/3.98 tff(17462,assumption,(~until2p7(s114)), introduced(assumption)).
% 5.21/3.98 tff(17463,assumption,(trans(s299, s114)), introduced(assumption)).
% 5.21/3.98 tff(17464,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s114) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s114)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s114)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17465,plain,
% 5.21/3.98 (((~trans(s299, s114)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s114)) <=> (until2p7(s114) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s114)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17466,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s114)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s114) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s114))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17465])).
% 5.21/3.98 tff(17467,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s114)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s114))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s114)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17466, 17464])).
% 5.21/3.98 tff(17468,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s114)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s114))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17469,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s114) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s114))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17468, 17467])).
% 5.21/3.98 tff(17470,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17469, 12455, 17463, 12541, 17462, 15747])).
% 5.21/3.98 tff(17471,plain,((~trans(s299, s114)) | until2p7(s114) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17472,plain,
% 5.21/3.98 (~trans(s299, s114)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17471, 14740, 12444])).
% 5.21/3.98 tff(17473,assumption,(~until2p7(s142)), introduced(assumption)).
% 5.21/3.98 tff(17474,assumption,(trans(s299, s142)), introduced(assumption)).
% 5.21/3.98 tff(17475,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s142) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s142)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s142)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17476,plain,
% 5.21/3.98 (((~trans(s299, s142)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s142)) <=> (until2p7(s142) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s142)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17477,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s142)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s142) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s142))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17476])).
% 5.21/3.98 tff(17478,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s142)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s142))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s142)))),
% 5.21/3.98 inference(transitivity,[status(thm)],[17477, 17475])).
% 5.21/3.98 tff(17479,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s142)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s142))),
% 5.21/3.98 inference(quant_inst,[status(thm)],[])).
% 5.21/3.98 tff(17480,plain,
% 5.21/3.98 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s142) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s142))),
% 5.21/3.98 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 5.21/3.98 tff(17481,plain,
% 5.21/3.98 ($false),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17480, 12455, 17474, 12541, 17473, 15747])).
% 5.21/3.98 tff(17482,plain,((~trans(s299, s142)) | until2p7(s142) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.98 tff(17483,plain,
% 5.21/3.98 (~trans(s299, s142)),
% 5.21/3.98 inference(unit_resolution,[status(thm)],[17482, 14460, 12444])).
% 5.21/3.98 tff(17484,assumption,(~until2p7(s245)), introduced(assumption)).
% 5.21/3.98 tff(17485,assumption,(trans(s299, s245)), introduced(assumption)).
% 5.21/3.98 tff(17486,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s245) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s245)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s245)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17487,plain,
% 5.21/3.98 (((~trans(s299, s245)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s245)) <=> (until2p7(s245) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s245)))),
% 5.21/3.98 inference(rewrite,[status(thm)],[])).
% 5.21/3.98 tff(17488,plain,
% 5.21/3.98 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s245)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s245) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s245))))),
% 5.21/3.98 inference(monotonicity,[status(thm)],[17487])).
% 5.21/3.99 tff(17489,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s245)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s245))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s245)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17488, 17486])).
% 5.21/3.99 tff(17490,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s245)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s245))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17491,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s245) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s245))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17490, 17489])).
% 5.21/3.99 tff(17492,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17491, 12455, 17485, 12541, 17484, 15747])).
% 5.21/3.99 tff(17493,plain,((~trans(s299, s245)) | until2p7(s245) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17494,plain,
% 5.21/3.99 (~trans(s299, s245)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17493, 13143, 12444])).
% 5.21/3.99 tff(17495,assumption,(~until2p7(s298)), introduced(assumption)).
% 5.21/3.99 tff(17496,assumption,(trans(s299, s298)), introduced(assumption)).
% 5.21/3.99 tff(17497,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s298) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s298)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s298)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17498,plain,
% 5.21/3.99 (((~trans(s299, s298)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s298)) <=> (until2p7(s298) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s298)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17499,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s298)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s298) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s298))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17498])).
% 5.21/3.99 tff(17500,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s298)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s298))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s298)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17499, 17497])).
% 5.21/3.99 tff(17501,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s298)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s298))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17502,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s298) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s298))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17501, 17500])).
% 5.21/3.99 tff(17503,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17502, 12455, 17496, 12541, 17495, 15747])).
% 5.21/3.99 tff(17504,plain,((~trans(s299, s298)) | until2p7(s298) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17505,plain,
% 5.21/3.99 (~trans(s299, s298)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17504, 12493, 12444])).
% 5.21/3.99 tff(17506,assumption,(~until2p7(s87)), introduced(assumption)).
% 5.21/3.99 tff(17507,assumption,(trans(s299, s87)), introduced(assumption)).
% 5.21/3.99 tff(17508,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s87)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s87)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17509,plain,
% 5.21/3.99 (((~trans(s299, s87)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s87)) <=> (until2p7(s87) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s87)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17510,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s87)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s87) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s87))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17509])).
% 5.21/3.99 tff(17511,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s87)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s87))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s87)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17510, 17508])).
% 5.21/3.99 tff(17512,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s87)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s87))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17513,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s87) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s87))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17512, 17511])).
% 5.21/3.99 tff(17514,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17513, 12455, 17507, 12541, 17506, 15747])).
% 5.21/3.99 tff(17515,plain,((~trans(s299, s87)) | until2p7(s87) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17516,plain,
% 5.21/3.99 (~trans(s299, s87)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17515, 15063, 12444])).
% 5.21/3.99 tff(17517,assumption,(~until2p7(s112)), introduced(assumption)).
% 5.21/3.99 tff(17518,assumption,(trans(s299, s112)), introduced(assumption)).
% 5.21/3.99 tff(17519,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s112) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s112)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s112)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17520,plain,
% 5.21/3.99 (((~trans(s299, s112)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s112)) <=> (until2p7(s112) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s112)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17521,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s112)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s112) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s112))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17520])).
% 5.21/3.99 tff(17522,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s112)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s112))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s112)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17521, 17519])).
% 5.21/3.99 tff(17523,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s112)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s112))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17524,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s112) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s112))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17523, 17522])).
% 5.21/3.99 tff(17525,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17524, 12455, 17518, 12541, 17517, 15747])).
% 5.21/3.99 tff(17526,plain,((~trans(s299, s112)) | until2p7(s112) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17527,plain,
% 5.21/3.99 (~trans(s299, s112)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17526, 14760, 12444])).
% 5.21/3.99 tff(17528,assumption,(~until2p7(s200)), introduced(assumption)).
% 5.21/3.99 tff(17529,assumption,(trans(s299, s200)), introduced(assumption)).
% 5.21/3.99 tff(17530,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s200) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s200)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s200)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17531,plain,
% 5.21/3.99 (((~trans(s299, s200)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s200)) <=> (until2p7(s200) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s200)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17532,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s200)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s200) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s200))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17531])).
% 5.21/3.99 tff(17533,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s200)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s200))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s200)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17532, 17530])).
% 5.21/3.99 tff(17534,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s200)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s200))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17535,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s200) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s200))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17534, 17533])).
% 5.21/3.99 tff(17536,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17535, 12455, 17529, 12541, 17528, 15747])).
% 5.21/3.99 tff(17537,plain,((~trans(s299, s200)) | until2p7(s200) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17538,plain,
% 5.21/3.99 (~trans(s299, s200)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17537, 13831, 12444])).
% 5.21/3.99 tff(17539,assumption,(~until2p7(s83)), introduced(assumption)).
% 5.21/3.99 tff(17540,assumption,(trans(s299, s83)), introduced(assumption)).
% 5.21/3.99 tff(17541,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s83)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s83)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17542,plain,
% 5.21/3.99 (((~trans(s299, s83)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s83)) <=> (until2p7(s83) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s83)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17543,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s83)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s83) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s83))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17542])).
% 5.21/3.99 tff(17544,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s83)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s83))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s83)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17543, 17541])).
% 5.21/3.99 tff(17545,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s83)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s83))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17546,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s83) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s83))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17545, 17544])).
% 5.21/3.99 tff(17547,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17546, 12455, 17540, 12541, 17539, 15747])).
% 5.21/3.99 tff(17548,plain,((~trans(s299, s83)) | until2p7(s83) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17549,plain,
% 5.21/3.99 (~trans(s299, s83)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17548, 15111, 12444])).
% 5.21/3.99 tff(17550,assumption,(~until2p7(s15)), introduced(assumption)).
% 5.21/3.99 tff(17551,assumption,(trans(s299, s15)), introduced(assumption)).
% 5.21/3.99 tff(17552,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s15)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s15)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17553,plain,
% 5.21/3.99 (((~trans(s299, s15)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s15)) <=> (until2p7(s15) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s15)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17554,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s15)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s15) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s15))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17553])).
% 5.21/3.99 tff(17555,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s15)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s15))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s15)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17554, 17552])).
% 5.21/3.99 tff(17556,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s15)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s15))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17557,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s15) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s15))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17556, 17555])).
% 5.21/3.99 tff(17558,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17557, 12455, 17551, 12541, 17550, 15747])).
% 5.21/3.99 tff(17559,plain,((~trans(s299, s15)) | until2p7(s15) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17560,plain,
% 5.21/3.99 (~trans(s299, s15)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17559, 16237, 12444])).
% 5.21/3.99 tff(17561,assumption,(~until2p7(s37)), introduced(assumption)).
% 5.21/3.99 tff(17562,assumption,(trans(s299, s37)), introduced(assumption)).
% 5.21/3.99 tff(17563,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s37)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s37)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17564,plain,
% 5.21/3.99 (((~trans(s299, s37)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s37)) <=> (until2p7(s37) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s37)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17565,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s37)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s37) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s37))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17564])).
% 5.21/3.99 tff(17566,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s37)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s37))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s37)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17565, 17563])).
% 5.21/3.99 tff(17567,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s37)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s37))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17568,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s37) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s37))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17567, 17566])).
% 5.21/3.99 tff(17569,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17568, 12455, 17562, 12541, 17561, 15747])).
% 5.21/3.99 tff(17570,plain,((~trans(s299, s37)) | until2p7(s37) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17571,plain,
% 5.21/3.99 (~trans(s299, s37)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17570, 15875, 12444])).
% 5.21/3.99 tff(17572,assumption,(~until2p7(s269)), introduced(assumption)).
% 5.21/3.99 tff(17573,assumption,(trans(s299, s269)), introduced(assumption)).
% 5.21/3.99 tff(17574,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s269) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s269)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s269)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17575,plain,
% 5.21/3.99 (((~trans(s299, s269)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s269)) <=> (until2p7(s269) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s269)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17576,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s269)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s269) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s269))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17575])).
% 5.21/3.99 tff(17577,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s269)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s269))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s269)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17576, 17574])).
% 5.21/3.99 tff(17578,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s269)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s269))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17579,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s269) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s269))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 5.21/3.99 tff(17580,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17579, 12455, 17573, 12541, 17572, 15747])).
% 5.21/3.99 tff(17581,plain,((~trans(s299, s269)) | until2p7(s269) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17582,plain,
% 5.21/3.99 (~trans(s299, s269)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17581, 12855, 12444])).
% 5.21/3.99 tff(17583,assumption,(~until2p7(s242)), introduced(assumption)).
% 5.21/3.99 tff(17584,assumption,(trans(s299, s242)), introduced(assumption)).
% 5.21/3.99 tff(17585,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s242) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s242)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s242)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17586,plain,
% 5.21/3.99 (((~trans(s299, s242)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s242)) <=> (until2p7(s242) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s242)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17587,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s242)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s242) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s242))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17586])).
% 5.21/3.99 tff(17588,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s242)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s242))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s242)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17587, 17585])).
% 5.21/3.99 tff(17589,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s242)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s242))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17590,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s242) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s242))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17589, 17588])).
% 5.21/3.99 tff(17591,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17590, 12455, 17584, 12541, 17583, 15747])).
% 5.21/3.99 tff(17592,plain,((~trans(s299, s242)) | until2p7(s242) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17593,plain,
% 5.21/3.99 (~trans(s299, s242)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17592, 13173, 12444])).
% 5.21/3.99 tff(17594,assumption,(~until2p7(s270)), introduced(assumption)).
% 5.21/3.99 tff(17595,assumption,(trans(s299, s270)), introduced(assumption)).
% 5.21/3.99 tff(17596,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s270) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s270)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s270)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17597,plain,
% 5.21/3.99 (((~trans(s299, s270)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s270)) <=> (until2p7(s270) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s270)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17598,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s270)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s270) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s270))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17597])).
% 5.21/3.99 tff(17599,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s270)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s270))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s270)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17598, 17596])).
% 5.21/3.99 tff(17600,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s270)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s270))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17601,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s270) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s270))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17600, 17599])).
% 5.21/3.99 tff(17602,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17601, 12455, 17595, 12541, 17594, 15747])).
% 5.21/3.99 tff(17603,plain,((~trans(s299, s270)) | until2p7(s270) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17604,plain,
% 5.21/3.99 (~trans(s299, s270)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17603, 12844, 12444])).
% 5.21/3.99 tff(17605,assumption,(~until2p7(s214)), introduced(assumption)).
% 5.21/3.99 tff(17606,assumption,(trans(s299, s214)), introduced(assumption)).
% 5.21/3.99 tff(17607,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s214) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s214)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s214)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17608,plain,
% 5.21/3.99 (((~trans(s299, s214)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s214)) <=> (until2p7(s214) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s214)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17609,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s214)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s214) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s214))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17608])).
% 5.21/3.99 tff(17610,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s214)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s214))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s214)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17609, 17607])).
% 5.21/3.99 tff(17611,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s214)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s214))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17612,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s214) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s214))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17611, 17610])).
% 5.21/3.99 tff(17613,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17612, 12455, 17606, 12541, 17605, 15747])).
% 5.21/3.99 tff(17614,plain,((~trans(s299, s214)) | until2p7(s214) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17615,plain,
% 5.21/3.99 (~trans(s299, s214)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17614, 13610, 12444])).
% 5.21/3.99 tff(17616,assumption,(~until2p7(s148)), introduced(assumption)).
% 5.21/3.99 tff(17617,assumption,(trans(s299, s148)), introduced(assumption)).
% 5.21/3.99 tff(17618,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s148) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s148)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s148)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17619,plain,
% 5.21/3.99 (((~trans(s299, s148)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s148)) <=> (until2p7(s148) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s148)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17620,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s148)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s148) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s148))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17619])).
% 5.21/3.99 tff(17621,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s148)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s148))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s148)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17620, 17618])).
% 5.21/3.99 tff(17622,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s148)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s148))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17623,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s148) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s148))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17622, 17621])).
% 5.21/3.99 tff(17624,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17623, 12455, 17617, 12541, 17616, 15747])).
% 5.21/3.99 tff(17625,plain,((~trans(s299, s148)) | until2p7(s148) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17626,plain,
% 5.21/3.99 (~trans(s299, s148)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17625, 14400, 12444])).
% 5.21/3.99 tff(17627,assumption,(~until2p7(s59)), introduced(assumption)).
% 5.21/3.99 tff(17628,assumption,(trans(s299, s59)), introduced(assumption)).
% 5.21/3.99 tff(17629,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s59)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s59)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17630,plain,
% 5.21/3.99 (((~trans(s299, s59)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s59)) <=> (until2p7(s59) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s59)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17631,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s59)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s59) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s59))))),
% 5.21/3.99 inference(monotonicity,[status(thm)],[17630])).
% 5.21/3.99 tff(17632,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s59)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s59))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s59)))),
% 5.21/3.99 inference(transitivity,[status(thm)],[17631, 17629])).
% 5.21/3.99 tff(17633,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s59)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s59))),
% 5.21/3.99 inference(quant_inst,[status(thm)],[])).
% 5.21/3.99 tff(17634,plain,
% 5.21/3.99 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s59) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s59))),
% 5.21/3.99 inference(modus_ponens,[status(thm)],[17633, 17632])).
% 5.21/3.99 tff(17635,plain,
% 5.21/3.99 ($false),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17634, 12455, 17628, 12541, 17627, 15747])).
% 5.21/3.99 tff(17636,plain,((~trans(s299, s59)) | until2p7(s59) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/3.99 tff(17637,plain,
% 5.21/3.99 (~trans(s299, s59)),
% 5.21/3.99 inference(unit_resolution,[status(thm)],[17636, 15535, 12444])).
% 5.21/3.99 tff(17638,assumption,(~until2p7(s254)), introduced(assumption)).
% 5.21/3.99 tff(17639,assumption,(trans(s299, s254)), introduced(assumption)).
% 5.21/3.99 tff(17640,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s254) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s254)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s254)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17641,plain,
% 5.21/3.99 (((~trans(s299, s254)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s254)) <=> (until2p7(s254) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s254)))),
% 5.21/3.99 inference(rewrite,[status(thm)],[])).
% 5.21/3.99 tff(17642,plain,
% 5.21/3.99 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s254)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s254) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s254))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17641])).
% 5.21/4.00 tff(17643,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s254)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s254))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s254)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17642, 17640])).
% 5.21/4.00 tff(17644,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s254)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s254))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17645,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s254) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s254))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17644, 17643])).
% 5.21/4.00 tff(17646,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17645, 12455, 17639, 12541, 17638, 15747])).
% 5.21/4.00 tff(17647,plain,((~trans(s299, s254)) | until2p7(s254) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17648,plain,
% 5.21/4.00 (~trans(s299, s254)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17647, 13053, 12444])).
% 5.21/4.00 tff(17649,assumption,(~until2p7(s47)), introduced(assumption)).
% 5.21/4.00 tff(17650,assumption,(trans(s299, s47)), introduced(assumption)).
% 5.21/4.00 tff(17651,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s47)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s47)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17652,plain,
% 5.21/4.00 (((~trans(s299, s47)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s47)) <=> (until2p7(s47) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s47)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17653,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s47)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s47) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s47))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17652])).
% 5.21/4.00 tff(17654,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s47)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s47))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s47)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17653, 17651])).
% 5.21/4.00 tff(17655,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s47)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s47))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17656,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s47) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s47))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17655, 17654])).
% 5.21/4.00 tff(17657,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17656, 12455, 17650, 12541, 17649, 15747])).
% 5.21/4.00 tff(17658,plain,((~trans(s299, s47)) | until2p7(s47) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17659,plain,
% 5.21/4.00 (~trans(s299, s47)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17658, 15710, 12444])).
% 5.21/4.00 tff(17660,assumption,(~until2p7(s266)), introduced(assumption)).
% 5.21/4.00 tff(17661,assumption,(trans(s299, s266)), introduced(assumption)).
% 5.21/4.00 tff(17662,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s266) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s266)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s266)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17663,plain,
% 5.21/4.00 (((~trans(s299, s266)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s266)) <=> (until2p7(s266) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s266)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17664,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s266)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s266) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s266))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17663])).
% 5.21/4.00 tff(17665,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s266)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s266))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s266)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17664, 17662])).
% 5.21/4.00 tff(17666,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s266)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s266))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17667,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s266) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s266))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 5.21/4.00 tff(17668,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17667, 12455, 17661, 12541, 17660, 15747])).
% 5.21/4.00 tff(17669,plain,((~trans(s299, s266)) | until2p7(s266) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17670,plain,
% 5.21/4.00 (~trans(s299, s266)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17669, 12888, 12444])).
% 5.21/4.00 tff(17671,assumption,(~until2p7(s176)), introduced(assumption)).
% 5.21/4.00 tff(17672,assumption,(trans(s299, s176)), introduced(assumption)).
% 5.21/4.00 tff(17673,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s176) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s176)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s176)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17674,plain,
% 5.21/4.00 (((~trans(s299, s176)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s176)) <=> (until2p7(s176) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s176)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17675,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s176)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s176) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s176))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17674])).
% 5.21/4.00 tff(17676,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s176)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s176))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s176)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17675, 17673])).
% 5.21/4.00 tff(17677,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s176)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s176))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17678,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s176) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s176))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17677, 17676])).
% 5.21/4.00 tff(17679,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17678, 12455, 17672, 12541, 17671, 15747])).
% 5.21/4.00 tff(17680,plain,((~trans(s299, s176)) | until2p7(s176) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17681,plain,
% 5.21/4.00 (~trans(s299, s176)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17680, 14120, 12444])).
% 5.21/4.00 tff(17682,assumption,(~until2p7(s73)), introduced(assumption)).
% 5.21/4.00 tff(17683,assumption,(trans(s299, s73)), introduced(assumption)).
% 5.21/4.00 tff(17684,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s73)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s73)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17685,plain,
% 5.21/4.00 (((~trans(s299, s73)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s73)) <=> (until2p7(s73) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s73)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17686,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s73)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s73) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s73))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17685])).
% 5.21/4.00 tff(17687,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s73)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s73))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s73)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17686, 17684])).
% 5.21/4.00 tff(17688,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s73)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s73))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17689,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s73) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s73))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17688, 17687])).
% 5.21/4.00 tff(17690,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17689, 12455, 17683, 12541, 17682, 15747])).
% 5.21/4.00 tff(17691,plain,((~trans(s299, s73)) | until2p7(s73) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17692,plain,
% 5.21/4.00 (~trans(s299, s73)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17691, 15333, 12444])).
% 5.21/4.00 tff(17693,assumption,(~until2p7(s9)), introduced(assumption)).
% 5.21/4.00 tff(17694,assumption,(trans(s299, s9)), introduced(assumption)).
% 5.21/4.00 tff(17695,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s9)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s9)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17696,plain,
% 5.21/4.00 (((~trans(s299, s9)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s9)) <=> (until2p7(s9) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s9)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17697,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s9)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s9) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s9))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17696])).
% 5.21/4.00 tff(17698,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s9)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s9))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s9)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17697, 17695])).
% 5.21/4.00 tff(17699,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s9)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s9))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17700,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s9) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s9))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17699, 17698])).
% 5.21/4.00 tff(17701,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17700, 12455, 17694, 12541, 17693, 15747])).
% 5.21/4.00 tff(17702,plain,((~trans(s299, s9)) | until2p7(s9) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17703,plain,
% 5.21/4.00 (~trans(s299, s9)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17702, 16309, 12444])).
% 5.21/4.00 tff(17704,assumption,(~until2p7(s252)), introduced(assumption)).
% 5.21/4.00 tff(17705,assumption,(trans(s299, s252)), introduced(assumption)).
% 5.21/4.00 tff(17706,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s252) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s252)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s252)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17707,plain,
% 5.21/4.00 (((~trans(s299, s252)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s252)) <=> (until2p7(s252) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s252)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17708,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s252)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s252) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s252))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17707])).
% 5.21/4.00 tff(17709,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s252)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s252))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s252)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17708, 17706])).
% 5.21/4.00 tff(17710,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s252)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s252))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17711,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s252) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s252))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17710, 17709])).
% 5.21/4.00 tff(17712,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17711, 12455, 17705, 12541, 17704, 15747])).
% 5.21/4.00 tff(17713,plain,((~trans(s299, s252)) | until2p7(s252) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17714,plain,
% 5.21/4.00 (~trans(s299, s252)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17713, 13073, 12444])).
% 5.21/4.00 tff(17715,assumption,(~until2p7(s263)), introduced(assumption)).
% 5.21/4.00 tff(17716,assumption,(trans(s299, s263)), introduced(assumption)).
% 5.21/4.00 tff(17717,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s263) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s263)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s263)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17718,plain,
% 5.21/4.00 (((~trans(s299, s263)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s263)) <=> (until2p7(s263) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s263)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17719,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s263)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s263) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s263))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17718])).
% 5.21/4.00 tff(17720,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s263)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s263))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s263)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17719, 17717])).
% 5.21/4.00 tff(17721,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s263)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s263))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17722,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s263) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s263))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17721, 17720])).
% 5.21/4.00 tff(17723,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17722, 12455, 17716, 12541, 17715, 15747])).
% 5.21/4.00 tff(17724,plain,((~trans(s299, s263)) | until2p7(s263) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17725,plain,
% 5.21/4.00 (~trans(s299, s263)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17724, 12921, 12444])).
% 5.21/4.00 tff(17726,assumption,(~until2p7(s109)), introduced(assumption)).
% 5.21/4.00 tff(17727,assumption,(trans(s299, s109)), introduced(assumption)).
% 5.21/4.00 tff(17728,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s109) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s109)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s109)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17729,plain,
% 5.21/4.00 (((~trans(s299, s109)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s109)) <=> (until2p7(s109) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s109)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17730,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s109)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s109) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s109))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17729])).
% 5.21/4.00 tff(17731,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s109)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s109))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s109)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17730, 17728])).
% 5.21/4.00 tff(17732,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s109)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s109))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17733,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s109) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s109))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 5.21/4.00 tff(17734,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17733, 12455, 17727, 12541, 17726, 15747])).
% 5.21/4.00 tff(17735,plain,((~trans(s299, s109)) | until2p7(s109) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17736,plain,
% 5.21/4.00 (~trans(s299, s109)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17735, 14790, 12444])).
% 5.21/4.00 tff(17737,assumption,(~until2p7(s63)), introduced(assumption)).
% 5.21/4.00 tff(17738,assumption,(trans(s299, s63)), introduced(assumption)).
% 5.21/4.00 tff(17739,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s63)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s63)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17740,plain,
% 5.21/4.00 (((~trans(s299, s63)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s63)) <=> (until2p7(s63) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s63)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17741,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s63)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s63) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s63))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17740])).
% 5.21/4.00 tff(17742,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s63)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s63))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s63)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17741, 17739])).
% 5.21/4.00 tff(17743,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s63)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s63))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17744,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s63) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s63))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17743, 17742])).
% 5.21/4.00 tff(17745,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17744, 12455, 17738, 12541, 17737, 15747])).
% 5.21/4.00 tff(17746,plain,((~trans(s299, s63)) | until2p7(s63) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17747,plain,
% 5.21/4.00 (~trans(s299, s63)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17746, 15487, 12444])).
% 5.21/4.00 tff(17748,assumption,(~until2p7(s54)), introduced(assumption)).
% 5.21/4.00 tff(17749,assumption,(trans(s299, s54)), introduced(assumption)).
% 5.21/4.00 tff(17750,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s54)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s54)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17751,plain,
% 5.21/4.00 (((~trans(s299, s54)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s54)) <=> (until2p7(s54) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s54)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17752,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s54)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s54) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s54))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17751])).
% 5.21/4.00 tff(17753,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s54)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s54))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s54)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17752, 17750])).
% 5.21/4.00 tff(17754,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s54)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s54))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17755,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s54) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s54))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17754, 17753])).
% 5.21/4.00 tff(17756,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17755, 12455, 17749, 12541, 17748, 15747])).
% 5.21/4.00 tff(17757,plain,((~trans(s299, s54)) | until2p7(s54) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17758,plain,
% 5.21/4.00 (~trans(s299, s54)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17757, 15629, 12444])).
% 5.21/4.00 tff(17759,assumption,(~until2p7(s206)), introduced(assumption)).
% 5.21/4.00 tff(17760,assumption,(trans(s299, s206)), introduced(assumption)).
% 5.21/4.00 tff(17761,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s206) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s206)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s206)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17762,plain,
% 5.21/4.00 (((~trans(s299, s206)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s206)) <=> (until2p7(s206) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s206)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17763,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s206)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s206) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s206))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17762])).
% 5.21/4.00 tff(17764,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s206)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s206))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s206)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17763, 17761])).
% 5.21/4.00 tff(17765,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s206)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s206))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17766,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s206) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s206))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17765, 17764])).
% 5.21/4.00 tff(17767,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17766, 12455, 17760, 12541, 17759, 15747])).
% 5.21/4.00 tff(17768,plain,((~trans(s299, s206)) | until2p7(s206) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17769,plain,
% 5.21/4.00 (~trans(s299, s206)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17768, 13732, 12444])).
% 5.21/4.00 tff(17770,assumption,(~until2p7(s210)), introduced(assumption)).
% 5.21/4.00 tff(17771,assumption,(trans(s299, s210)), introduced(assumption)).
% 5.21/4.00 tff(17772,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s210) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s210)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s210)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17773,plain,
% 5.21/4.00 (((~trans(s299, s210)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s210)) <=> (until2p7(s210) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s210)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17774,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s210)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s210) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s210))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17773])).
% 5.21/4.00 tff(17775,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s210)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s210))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s210)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17774, 17772])).
% 5.21/4.00 tff(17776,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s210)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s210))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17777,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s210) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s210))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17776, 17775])).
% 5.21/4.00 tff(17778,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17777, 12455, 17771, 12541, 17770, 15747])).
% 5.21/4.00 tff(17779,plain,((~trans(s299, s210)) | until2p7(s210) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17780,plain,
% 5.21/4.00 (~trans(s299, s210)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17779, 13654, 12444])).
% 5.21/4.00 tff(17781,assumption,(~until2p7(s2)), introduced(assumption)).
% 5.21/4.00 tff(17782,assumption,(trans(s299, s2)), introduced(assumption)).
% 5.21/4.00 tff(17783,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s2)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s2)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17784,plain,
% 5.21/4.00 (((~trans(s299, s2)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s2)) <=> (until2p7(s2) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s2)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17785,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s2)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s2) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s2))))),
% 5.21/4.00 inference(monotonicity,[status(thm)],[17784])).
% 5.21/4.00 tff(17786,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s2)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s2))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s2)))),
% 5.21/4.00 inference(transitivity,[status(thm)],[17785, 17783])).
% 5.21/4.00 tff(17787,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s2)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s2))),
% 5.21/4.00 inference(quant_inst,[status(thm)],[])).
% 5.21/4.00 tff(17788,plain,
% 5.21/4.00 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s2) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s2))),
% 5.21/4.00 inference(modus_ponens,[status(thm)],[17787, 17786])).
% 5.21/4.00 tff(17789,plain,
% 5.21/4.00 ($false),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17788, 12455, 17782, 12541, 17781, 15747])).
% 5.21/4.00 tff(17790,plain,((~trans(s299, s2)) | until2p7(s2) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.00 tff(17791,plain,
% 5.21/4.00 (~trans(s299, s2)),
% 5.21/4.00 inference(unit_resolution,[status(thm)],[17790, 16393, 12444])).
% 5.21/4.00 tff(17792,assumption,(~until2p7(s108)), introduced(assumption)).
% 5.21/4.00 tff(17793,assumption,(trans(s299, s108)), introduced(assumption)).
% 5.21/4.00 tff(17794,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s108) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s108)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s108)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17795,plain,
% 5.21/4.00 (((~trans(s299, s108)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s108)) <=> (until2p7(s108) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s108)))),
% 5.21/4.00 inference(rewrite,[status(thm)],[])).
% 5.21/4.00 tff(17796,plain,
% 5.21/4.00 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s108)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s108) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s108))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17795])).
% 5.21/4.01 tff(17797,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s108)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s108))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s108)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17796, 17794])).
% 5.21/4.01 tff(17798,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s108)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s108))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17799,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s108) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s108))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17798, 17797])).
% 5.21/4.01 tff(17800,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17799, 12455, 17793, 12541, 17792, 15747])).
% 5.21/4.01 tff(17801,plain,((~trans(s299, s108)) | until2p7(s108) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17802,plain,
% 5.21/4.01 (~trans(s299, s108)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17801, 14800, 12444])).
% 5.21/4.01 tff(17803,assumption,(~until2p7(s58)), introduced(assumption)).
% 5.21/4.01 tff(17804,assumption,(trans(s299, s58)), introduced(assumption)).
% 5.21/4.01 tff(17805,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s58)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s58)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17806,plain,
% 5.21/4.01 (((~trans(s299, s58)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s58)) <=> (until2p7(s58) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s58)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17807,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s58)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s58) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s58))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17806])).
% 5.21/4.01 tff(17808,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s58)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s58))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s58)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17807, 17805])).
% 5.21/4.01 tff(17809,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s58)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s58))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17810,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s58) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s58))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17809, 17808])).
% 5.21/4.01 tff(17811,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17810, 12455, 17804, 12541, 17803, 15747])).
% 5.21/4.01 tff(17812,plain,((~trans(s299, s58)) | until2p7(s58) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17813,plain,
% 5.21/4.01 (~trans(s299, s58)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17812, 15547, 12444])).
% 5.21/4.01 tff(17814,assumption,(~until2p7(s247)), introduced(assumption)).
% 5.21/4.01 tff(17815,assumption,(trans(s299, s247)), introduced(assumption)).
% 5.21/4.01 tff(17816,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s247) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s247)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s247)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17817,plain,
% 5.21/4.01 (((~trans(s299, s247)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s247)) <=> (until2p7(s247) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s247)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17818,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s247)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s247) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s247))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17817])).
% 5.21/4.01 tff(17819,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s247)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s247))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s247)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17818, 17816])).
% 5.21/4.01 tff(17820,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s247)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s247))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17821,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s247) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s247))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17820, 17819])).
% 5.21/4.01 tff(17822,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17821, 12455, 17815, 12541, 17814, 15747])).
% 5.21/4.01 tff(17823,plain,((~trans(s299, s247)) | until2p7(s247) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17824,plain,
% 5.21/4.01 (~trans(s299, s247)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17823, 13123, 12444])).
% 5.21/4.01 tff(17825,assumption,(~until2p7(s215)), introduced(assumption)).
% 5.21/4.01 tff(17826,assumption,(trans(s299, s215)), introduced(assumption)).
% 5.21/4.01 tff(17827,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s215) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s215)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s215)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17828,plain,
% 5.21/4.01 (((~trans(s299, s215)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s215)) <=> (until2p7(s215) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s215)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17829,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s215)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s215) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s215))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17828])).
% 5.21/4.01 tff(17830,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s215)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s215))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s215)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17829, 17827])).
% 5.21/4.01 tff(17831,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s215)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s215))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17832,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s215) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s215))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17831, 17830])).
% 5.21/4.01 tff(17833,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17832, 12455, 17826, 12541, 17825, 15747])).
% 5.21/4.01 tff(17834,plain,((~trans(s299, s215)) | until2p7(s215) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17835,plain,
% 5.21/4.01 (~trans(s299, s215)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17834, 13599, 12444])).
% 5.21/4.01 tff(17836,assumption,(~until2p7(s75)), introduced(assumption)).
% 5.21/4.01 tff(17837,assumption,(trans(s299, s75)), introduced(assumption)).
% 5.21/4.01 tff(17838,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s75)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s75)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17839,plain,
% 5.21/4.01 (((~trans(s299, s75)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s75)) <=> (until2p7(s75) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s75)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17840,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s75)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s75) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s75))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17839])).
% 5.21/4.01 tff(17841,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s75)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s75))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s75)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17840, 17838])).
% 5.21/4.01 tff(17842,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s75)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s75))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17843,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s75) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s75))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17842, 17841])).
% 5.21/4.01 tff(17844,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17843, 12455, 17837, 12541, 17836, 15747])).
% 5.21/4.01 tff(17845,plain,((~trans(s299, s75)) | until2p7(s75) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17846,plain,
% 5.21/4.01 (~trans(s299, s75)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17845, 15309, 12444])).
% 5.21/4.01 tff(17847,assumption,(~until2p7(s64)), introduced(assumption)).
% 5.21/4.01 tff(17848,assumption,(trans(s299, s64)), introduced(assumption)).
% 5.21/4.01 tff(17849,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s64)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s64)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17850,plain,
% 5.21/4.01 (((~trans(s299, s64)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s64)) <=> (until2p7(s64) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s64)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17851,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s64)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s64) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s64))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17850])).
% 5.21/4.01 tff(17852,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s64)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s64))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s64)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17851, 17849])).
% 5.21/4.01 tff(17853,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s64)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s64))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17854,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s64) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s64))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17853, 17852])).
% 5.21/4.01 tff(17855,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17854, 12455, 17848, 12541, 17847, 15747])).
% 5.21/4.01 tff(17856,plain,((~trans(s299, s64)) | until2p7(s64) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17857,plain,
% 5.21/4.01 (~trans(s299, s64)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17856, 15475, 12444])).
% 5.21/4.01 tff(17858,assumption,(~until2p7(s69)), introduced(assumption)).
% 5.21/4.01 tff(17859,assumption,(trans(s299, s69)), introduced(assumption)).
% 5.21/4.01 tff(17860,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s69)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s69)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17861,plain,
% 5.21/4.01 (((~trans(s299, s69)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s69)) <=> (until2p7(s69) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s69)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17862,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s69)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s69) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s69))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17861])).
% 5.21/4.01 tff(17863,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s69)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s69))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s69)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17862, 17860])).
% 5.21/4.01 tff(17864,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s69)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s69))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17865,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s69) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s69))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17864, 17863])).
% 5.21/4.01 tff(17866,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17865, 12455, 17859, 12541, 17858, 15747])).
% 5.21/4.01 tff(17867,plain,((~trans(s299, s69)) | until2p7(s69) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17868,plain,
% 5.21/4.01 (~trans(s299, s69)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17867, 15415, 12444])).
% 5.21/4.01 tff(17869,assumption,(~until2p7(s130)), introduced(assumption)).
% 5.21/4.01 tff(17870,assumption,(trans(s299, s130)), introduced(assumption)).
% 5.21/4.01 tff(17871,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s130) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s130)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s130)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17872,plain,
% 5.21/4.01 (((~trans(s299, s130)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s130)) <=> (until2p7(s130) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s130)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17873,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s130)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s130) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s130))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17872])).
% 5.21/4.01 tff(17874,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s130)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s130))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s130)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17873, 17871])).
% 5.21/4.01 tff(17875,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s130)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s130))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17876,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s130) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s130))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 5.21/4.01 tff(17877,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17876, 12455, 17870, 12541, 17869, 15747])).
% 5.21/4.01 tff(17878,plain,((~trans(s299, s130)) | until2p7(s130) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17879,plain,
% 5.21/4.01 (~trans(s299, s130)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17878, 14580, 12444])).
% 5.21/4.01 tff(17880,assumption,(~until2p7(s71)), introduced(assumption)).
% 5.21/4.01 tff(17881,assumption,(trans(s299, s71)), introduced(assumption)).
% 5.21/4.01 tff(17882,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s71)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s71)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17883,plain,
% 5.21/4.01 (((~trans(s299, s71)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s71)) <=> (until2p7(s71) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s71)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17884,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s71)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s71) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s71))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17883])).
% 5.21/4.01 tff(17885,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s71)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s71))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s71)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17884, 17882])).
% 5.21/4.01 tff(17886,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s71)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s71))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17887,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s71) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s71))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17886, 17885])).
% 5.21/4.01 tff(17888,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17887, 12455, 17881, 12541, 17880, 15747])).
% 5.21/4.01 tff(17889,plain,((~trans(s299, s71)) | until2p7(s71) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17890,plain,
% 5.21/4.01 (~trans(s299, s71)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17889, 15357, 12444])).
% 5.21/4.01 tff(17891,assumption,(~until2p7(s57)), introduced(assumption)).
% 5.21/4.01 tff(17892,assumption,(trans(s299, s57)), introduced(assumption)).
% 5.21/4.01 tff(17893,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s57)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s57)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17894,plain,
% 5.21/4.01 (((~trans(s299, s57)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s57)) <=> (until2p7(s57) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s57)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17895,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s57)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s57) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s57))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17894])).
% 5.21/4.01 tff(17896,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s57)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s57))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s57)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17895, 17893])).
% 5.21/4.01 tff(17897,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s57)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s57))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17898,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s57) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s57))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17897, 17896])).
% 5.21/4.01 tff(17899,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17898, 12455, 17892, 12541, 17891, 15747])).
% 5.21/4.01 tff(17900,plain,((~trans(s299, s57)) | until2p7(s57) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17901,plain,
% 5.21/4.01 (~trans(s299, s57)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17900, 15592, 12444])).
% 5.21/4.01 tff(17902,assumption,(~until2p7(s19)), introduced(assumption)).
% 5.21/4.01 tff(17903,assumption,(trans(s299, s19)), introduced(assumption)).
% 5.21/4.01 tff(17904,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s19)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s19)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17905,plain,
% 5.21/4.01 (((~trans(s299, s19)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s19)) <=> (until2p7(s19) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s19)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17906,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s19)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s19) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s19))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17905])).
% 5.21/4.01 tff(17907,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s19)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s19))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s19)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17906, 17904])).
% 5.21/4.01 tff(17908,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s19)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s19))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17909,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s19) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s19))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17908, 17907])).
% 5.21/4.01 tff(17910,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17909, 12455, 17903, 12541, 17902, 15747])).
% 5.21/4.01 tff(17911,plain,((~trans(s299, s19)) | until2p7(s19) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17912,plain,
% 5.21/4.01 (~trans(s299, s19)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17911, 16090, 12444])).
% 5.21/4.01 tff(17913,assumption,(~until2p7(s276)), introduced(assumption)).
% 5.21/4.01 tff(17914,assumption,(trans(s299, s276)), introduced(assumption)).
% 5.21/4.01 tff(17915,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s276) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s276)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s276)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17916,plain,
% 5.21/4.01 (((~trans(s299, s276)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s276)) <=> (until2p7(s276) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s276)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17917,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s276)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s276) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s276))))),
% 5.21/4.01 inference(monotonicity,[status(thm)],[17916])).
% 5.21/4.01 tff(17918,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s276)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s276))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s276)))),
% 5.21/4.01 inference(transitivity,[status(thm)],[17917, 17915])).
% 5.21/4.01 tff(17919,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s276)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s276))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17920,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s276) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s276))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17919, 17918])).
% 5.21/4.01 tff(17921,plain,
% 5.21/4.01 ($false),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17920, 12455, 17914, 12541, 17913, 15747])).
% 5.21/4.01 tff(17922,plain,((~trans(s299, s276)) | until2p7(s276) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.01 tff(17923,plain,
% 5.21/4.01 (~trans(s299, s276)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17922, 12779, 12444])).
% 5.21/4.01 tff(17924,plain,
% 5.21/4.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17925,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | ((~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0)))),
% 5.21/4.01 inference(quant_inst,[status(thm)],[])).
% 5.21/4.01 tff(17926,plain,
% 5.21/4.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p7(Y) | (~xuntil2p8(X)))) | (~succ(s0, s1)) | until2p7(s1) | (~xuntil2p8(s0))),
% 5.21/4.01 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 5.21/4.01 tff(17927,plain,
% 5.21/4.01 (until2p7(s1) | (~xuntil2p8(s0))),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17926, 368, 12484])).
% 5.21/4.01 tff(17928,plain,
% 5.21/4.01 (~xuntil2p8(s0)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[17927, 16405])).
% 5.21/4.01 tff(17929,plain,
% 5.21/4.01 (~always3(s0)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[376, 16399])).
% 5.21/4.01 tff(17930,plain,
% 5.21/4.01 (~node4(s0)),
% 5.21/4.01 inference(unit_resolution,[status(thm)],[380, 35, 17929])).
% 5.21/4.01 tff(17931,plain,
% 5.21/4.01 (((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))) <=> ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 5.21/4.01 inference(rewrite,[status(thm)],[])).
% 5.21/4.01 tff(17932,plain,
% 5.21/4.01 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | (node4(s0) | xuntil2p8(s0) | (~until2p7(s0)))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(17933,plain,
% 5.21/4.02 ((~![X: $i] : (node4(X) | xuntil2p8(X) | (~until2p7(X)))) | node4(s0) | xuntil2p8(s0) | (~until2p7(s0))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[17932, 17931])).
% 5.21/4.02 tff(17934,plain,
% 5.21/4.02 (xuntil2p8(s0) | (~until2p7(s0))),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17933, 12469, 17930])).
% 5.21/4.02 tff(17935,plain,
% 5.21/4.02 (~until2p7(s0)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17934, 17928])).
% 5.21/4.02 tff(17936,assumption,(~until2p7(s0)), introduced(assumption)).
% 5.21/4.02 tff(17937,assumption,(trans(s299, s0)), introduced(assumption)).
% 5.21/4.02 tff(17938,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s299)) | (~xuntil6(s299)) | until2p7(s0) | (~trans(s299, s0)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s0) | (~trans(s299, s0)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17939,plain,
% 5.21/4.02 (((~trans(s299, s0)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s0)) <=> ((~last(s299)) | (~xuntil6(s299)) | until2p7(s0) | (~trans(s299, s0)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17940,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s0)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~last(s299)) | (~xuntil6(s299)) | until2p7(s0) | (~trans(s299, s0))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[17939])).
% 5.21/4.02 tff(17941,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s0)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s0))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s0) | (~trans(s299, s0)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[17940, 17938])).
% 5.21/4.02 tff(17942,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s0)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s0))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(17943,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s0) | (~trans(s299, s0))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[17942, 17941])).
% 5.21/4.02 tff(17944,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17943, 12455, 17937, 12541, 15747, 17936])).
% 5.21/4.02 tff(17945,plain,((~trans(s299, s0)) | (~xuntil6(s299)) | until2p7(s0)), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(17946,plain,
% 5.21/4.02 (~trans(s299, s0)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17945, 12444, 17935])).
% 5.21/4.02 tff(17947,assumption,(~until2p7(s202)), introduced(assumption)).
% 5.21/4.02 tff(17948,assumption,(trans(s299, s202)), introduced(assumption)).
% 5.21/4.02 tff(17949,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s202) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s202)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s202)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17950,plain,
% 5.21/4.02 (((~trans(s299, s202)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s202)) <=> (until2p7(s202) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s202)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17951,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s202)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s202) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s202))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[17950])).
% 5.21/4.02 tff(17952,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s202)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s202))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s202)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[17951, 17949])).
% 5.21/4.02 tff(17953,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s202)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s202))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(17954,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s202) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s202))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[17953, 17952])).
% 5.21/4.02 tff(17955,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17954, 12455, 17948, 12541, 17947, 15747])).
% 5.21/4.02 tff(17956,plain,((~trans(s299, s202)) | until2p7(s202) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(17957,plain,
% 5.21/4.02 (~trans(s299, s202)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17956, 13810, 12444])).
% 5.21/4.02 tff(17958,assumption,(~until2p7(s175)), introduced(assumption)).
% 5.21/4.02 tff(17959,assumption,(trans(s299, s175)), introduced(assumption)).
% 5.21/4.02 tff(17960,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s175) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s175)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s175)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17961,plain,
% 5.21/4.02 (((~trans(s299, s175)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s175)) <=> (until2p7(s175) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s175)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17962,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s175)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s175) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s175))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[17961])).
% 5.21/4.02 tff(17963,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s175)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s175))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s175)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[17962, 17960])).
% 5.21/4.02 tff(17964,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s175)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s175))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(17965,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s175) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s175))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[17964, 17963])).
% 5.21/4.02 tff(17966,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17965, 12455, 17959, 12541, 17958, 15747])).
% 5.21/4.02 tff(17967,plain,((~trans(s299, s175)) | until2p7(s175) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(17968,plain,
% 5.21/4.02 (~trans(s299, s175)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17967, 14130, 12444])).
% 5.21/4.02 tff(17969,assumption,(~until2p7(s277)), introduced(assumption)).
% 5.21/4.02 tff(17970,assumption,(trans(s299, s277)), introduced(assumption)).
% 5.21/4.02 tff(17971,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s277) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s277)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s277)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17972,plain,
% 5.21/4.02 (((~trans(s299, s277)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s277)) <=> (until2p7(s277) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s277)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17973,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s277)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s277) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s277))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[17972])).
% 5.21/4.02 tff(17974,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s277)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s277))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s277)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[17973, 17971])).
% 5.21/4.02 tff(17975,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s277)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s277))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(17976,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s277) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s277))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[17975, 17974])).
% 5.21/4.02 tff(17977,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17976, 12455, 17970, 12541, 17969, 15747])).
% 5.21/4.02 tff(17978,plain,((~trans(s299, s277)) | until2p7(s277) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(17979,plain,
% 5.21/4.02 (~trans(s299, s277)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17978, 12768, 12444])).
% 5.21/4.02 tff(17980,assumption,(~until2p7(s240)), introduced(assumption)).
% 5.21/4.02 tff(17981,assumption,(trans(s299, s240)), introduced(assumption)).
% 5.21/4.02 tff(17982,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s240) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s240)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s240)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17983,plain,
% 5.21/4.02 (((~trans(s299, s240)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s240)) <=> (until2p7(s240) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s240)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17984,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s240)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s240) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s240))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[17983])).
% 5.21/4.02 tff(17985,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s240)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s240))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s240)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[17984, 17982])).
% 5.21/4.02 tff(17986,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s240)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s240))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(17987,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s240) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s240))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[17986, 17985])).
% 5.21/4.02 tff(17988,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17987, 12455, 17981, 12541, 17980, 15747])).
% 5.21/4.02 tff(17989,plain,((~trans(s299, s240)) | until2p7(s240) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(17990,plain,
% 5.21/4.02 (~trans(s299, s240)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17989, 13193, 12444])).
% 5.21/4.02 tff(17991,assumption,(~until2p7(s65)), introduced(assumption)).
% 5.21/4.02 tff(17992,assumption,(trans(s299, s65)), introduced(assumption)).
% 5.21/4.02 tff(17993,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s65)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s65)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17994,plain,
% 5.21/4.02 (((~trans(s299, s65)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s65)) <=> (until2p7(s65) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s65)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(17995,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s65)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s65) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s65))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[17994])).
% 5.21/4.02 tff(17996,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s65)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s65))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s65)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[17995, 17993])).
% 5.21/4.02 tff(17997,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s65)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s65))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(17998,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s65) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s65))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[17997, 17996])).
% 5.21/4.02 tff(17999,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[17998, 12455, 17992, 12541, 17991, 15747])).
% 5.21/4.02 tff(18000,plain,((~trans(s299, s65)) | until2p7(s65) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(18001,plain,
% 5.21/4.02 (~trans(s299, s65)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18000, 15463, 12444])).
% 5.21/4.02 tff(18002,assumption,(~until2p7(s118)), introduced(assumption)).
% 5.21/4.02 tff(18003,assumption,(trans(s299, s118)), introduced(assumption)).
% 5.21/4.02 tff(18004,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s118) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s118)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s118)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18005,plain,
% 5.21/4.02 (((~trans(s299, s118)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s118)) <=> (until2p7(s118) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s118)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18006,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s118)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s118) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s118))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[18005])).
% 5.21/4.02 tff(18007,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s118)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s118))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s118)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[18006, 18004])).
% 5.21/4.02 tff(18008,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s118)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s118))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(18009,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s118) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s118))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[18008, 18007])).
% 5.21/4.02 tff(18010,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18009, 12455, 18003, 12541, 18002, 15747])).
% 5.21/4.02 tff(18011,plain,((~trans(s299, s118)) | until2p7(s118) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(18012,plain,
% 5.21/4.02 (~trans(s299, s118)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18011, 14700, 12444])).
% 5.21/4.02 tff(18013,assumption,(~until2p7(s144)), introduced(assumption)).
% 5.21/4.02 tff(18014,assumption,(trans(s299, s144)), introduced(assumption)).
% 5.21/4.02 tff(18015,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s144) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s144)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s144)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18016,plain,
% 5.21/4.02 (((~trans(s299, s144)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s144)) <=> (until2p7(s144) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s144)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18017,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s144)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s144) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s144))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[18016])).
% 5.21/4.02 tff(18018,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s144)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s144))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s144)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[18017, 18015])).
% 5.21/4.02 tff(18019,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s144)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s144))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(18020,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s144) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s144))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[18019, 18018])).
% 5.21/4.02 tff(18021,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18020, 12455, 18014, 12541, 18013, 15747])).
% 5.21/4.02 tff(18022,plain,((~trans(s299, s144)) | until2p7(s144) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(18023,plain,
% 5.21/4.02 (~trans(s299, s144)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18022, 14440, 12444])).
% 5.21/4.02 tff(18024,assumption,(~until2p7(s147)), introduced(assumption)).
% 5.21/4.02 tff(18025,assumption,(trans(s299, s147)), introduced(assumption)).
% 5.21/4.02 tff(18026,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s147)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s147)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18027,plain,
% 5.21/4.02 (((~trans(s299, s147)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s147)) <=> (until2p7(s147) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s147)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18028,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s147)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s147) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s147))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[18027])).
% 5.21/4.02 tff(18029,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s147)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s147))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s147)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[18028, 18026])).
% 5.21/4.02 tff(18030,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s147)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s147))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(18031,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s147) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s147))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[18030, 18029])).
% 5.21/4.02 tff(18032,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18031, 12455, 18025, 12541, 18024, 15747])).
% 5.21/4.02 tff(18033,plain,((~trans(s299, s147)) | until2p7(s147) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(18034,plain,
% 5.21/4.02 (~trans(s299, s147)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18033, 14410, 12444])).
% 5.21/4.02 tff(18035,assumption,(~until2p7(s155)), introduced(assumption)).
% 5.21/4.02 tff(18036,assumption,(trans(s299, s155)), introduced(assumption)).
% 5.21/4.02 tff(18037,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s155) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s155)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s155)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18038,plain,
% 5.21/4.02 (((~trans(s299, s155)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s155)) <=> (until2p7(s155) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s155)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18039,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s155)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s155) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s155))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[18038])).
% 5.21/4.02 tff(18040,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s155)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s155))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s155)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[18039, 18037])).
% 5.21/4.02 tff(18041,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s155)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s155))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(18042,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s155) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s155))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[18041, 18040])).
% 5.21/4.02 tff(18043,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18042, 12455, 18036, 12541, 18035, 15747])).
% 5.21/4.02 tff(18044,plain,((~trans(s299, s155)) | until2p7(s155) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(18045,plain,
% 5.21/4.02 (~trans(s299, s155)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18044, 14330, 12444])).
% 5.21/4.02 tff(18046,assumption,(~until2p7(s70)), introduced(assumption)).
% 5.21/4.02 tff(18047,assumption,(trans(s299, s70)), introduced(assumption)).
% 5.21/4.02 tff(18048,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s70)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s70)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18049,plain,
% 5.21/4.02 (((~trans(s299, s70)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s70)) <=> (until2p7(s70) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s70)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18050,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s70)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s70) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s70))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[18049])).
% 5.21/4.02 tff(18051,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s70)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s70))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s70)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[18050, 18048])).
% 5.21/4.02 tff(18052,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s70)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s70))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(18053,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s70) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s70))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[18052, 18051])).
% 5.21/4.02 tff(18054,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18053, 12455, 18047, 12541, 18046, 15747])).
% 5.21/4.02 tff(18055,plain,((~trans(s299, s70)) | until2p7(s70) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(18056,plain,
% 5.21/4.02 (~trans(s299, s70)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18055, 15402, 12444])).
% 5.21/4.02 tff(18057,assumption,(~until2p7(s274)), introduced(assumption)).
% 5.21/4.02 tff(18058,assumption,(trans(s299, s274)), introduced(assumption)).
% 5.21/4.02 tff(18059,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s274) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s274)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s274)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18060,plain,
% 5.21/4.02 (((~trans(s299, s274)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s274)) <=> (until2p7(s274) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s274)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18061,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s274)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s274) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s274))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[18060])).
% 5.21/4.02 tff(18062,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s274)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s274))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s274)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[18061, 18059])).
% 5.21/4.02 tff(18063,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s274)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s274))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(18064,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s274) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s274))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[18063, 18062])).
% 5.21/4.02 tff(18065,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18064, 12455, 18058, 12541, 18057, 15747])).
% 5.21/4.02 tff(18066,plain,((~trans(s299, s274)) | until2p7(s274) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(18067,plain,
% 5.21/4.02 (~trans(s299, s274)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18066, 12801, 12444])).
% 5.21/4.02 tff(18068,assumption,(~until2p7(s185)), introduced(assumption)).
% 5.21/4.02 tff(18069,assumption,(trans(s299, s185)), introduced(assumption)).
% 5.21/4.02 tff(18070,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s185) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s185)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s185)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18071,plain,
% 5.21/4.02 (((~trans(s299, s185)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s185)) <=> (until2p7(s185) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s185)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18072,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s185)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s185) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s185))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[18071])).
% 5.21/4.02 tff(18073,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s185)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s185))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s185)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[18072, 18070])).
% 5.21/4.02 tff(18074,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s185)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s185))),
% 5.21/4.02 inference(quant_inst,[status(thm)],[])).
% 5.21/4.02 tff(18075,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s185) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s185))),
% 5.21/4.02 inference(modus_ponens,[status(thm)],[18074, 18073])).
% 5.21/4.02 tff(18076,plain,
% 5.21/4.02 ($false),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18075, 12455, 18069, 12541, 18068, 15747])).
% 5.21/4.02 tff(18077,plain,((~trans(s299, s185)) | until2p7(s185) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.02 tff(18078,plain,
% 5.21/4.02 (~trans(s299, s185)),
% 5.21/4.02 inference(unit_resolution,[status(thm)],[18077, 14030, 12444])).
% 5.21/4.02 tff(18079,assumption,(~until2p7(s56)), introduced(assumption)).
% 5.21/4.02 tff(18080,assumption,(trans(s299, s56)), introduced(assumption)).
% 5.21/4.02 tff(18081,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s56)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s56)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18082,plain,
% 5.21/4.02 (((~trans(s299, s56)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s56)) <=> (until2p7(s56) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s56)))),
% 5.21/4.02 inference(rewrite,[status(thm)],[])).
% 5.21/4.02 tff(18083,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s56)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s56) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s56))))),
% 5.21/4.02 inference(monotonicity,[status(thm)],[18082])).
% 5.21/4.02 tff(18084,plain,
% 5.21/4.02 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s56)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s56))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s56)))),
% 5.21/4.02 inference(transitivity,[status(thm)],[18083, 18081])).
% 5.21/4.02 tff(18085,plain,
% 5.21/4.02 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s56)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s56))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18086,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s56) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s56))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18085, 18084])).
% 5.21/4.03 tff(18087,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18086, 12455, 18080, 12541, 18079, 15747])).
% 5.21/4.03 tff(18088,plain,((~trans(s299, s56)) | until2p7(s56) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18089,plain,
% 5.21/4.03 (~trans(s299, s56)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18088, 15605, 12444])).
% 5.21/4.03 tff(18090,assumption,(~until2p7(s217)), introduced(assumption)).
% 5.21/4.03 tff(18091,assumption,(trans(s299, s217)), introduced(assumption)).
% 5.21/4.03 tff(18092,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s217) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s217)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s217)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18093,plain,
% 5.21/4.03 (((~trans(s299, s217)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s217)) <=> (until2p7(s217) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s217)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18094,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s217)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s217) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s217))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18093])).
% 5.21/4.03 tff(18095,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s217)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s217))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s217)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18094, 18092])).
% 5.21/4.03 tff(18096,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s217)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s217))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18097,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s217) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s217))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18096, 18095])).
% 5.21/4.03 tff(18098,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18097, 12455, 18091, 12541, 18090, 15747])).
% 5.21/4.03 tff(18099,plain,((~trans(s299, s217)) | until2p7(s217) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18100,plain,
% 5.21/4.03 (~trans(s299, s217)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18099, 13577, 12444])).
% 5.21/4.03 tff(18101,assumption,(~until2p7(s156)), introduced(assumption)).
% 5.21/4.03 tff(18102,assumption,(trans(s299, s156)), introduced(assumption)).
% 5.21/4.03 tff(18103,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s156) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s156)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s156)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18104,plain,
% 5.21/4.03 (((~trans(s299, s156)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s156)) <=> (until2p7(s156) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s156)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18105,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s156)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s156) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s156))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18104])).
% 5.21/4.03 tff(18106,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s156)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s156))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s156)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18105, 18103])).
% 5.21/4.03 tff(18107,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s156)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s156))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18108,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s156) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s156))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18107, 18106])).
% 5.21/4.03 tff(18109,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18108, 12455, 18102, 12541, 18101, 15747])).
% 5.21/4.03 tff(18110,plain,((~trans(s299, s156)) | until2p7(s156) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18111,plain,
% 5.21/4.03 (~trans(s299, s156)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18110, 14320, 12444])).
% 5.21/4.03 tff(18112,assumption,(~until2p7(s133)), introduced(assumption)).
% 5.21/4.03 tff(18113,assumption,(trans(s299, s133)), introduced(assumption)).
% 5.21/4.03 tff(18114,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s133) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s133)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s133)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18115,plain,
% 5.21/4.03 (((~trans(s299, s133)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s133)) <=> (until2p7(s133) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s133)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18116,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s133)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s133) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s133))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18115])).
% 5.21/4.03 tff(18117,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s133)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s133))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s133)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18116, 18114])).
% 5.21/4.03 tff(18118,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s133)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s133))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18119,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s133) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s133))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18118, 18117])).
% 5.21/4.03 tff(18120,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18119, 12455, 18113, 12541, 18112, 15747])).
% 5.21/4.03 tff(18121,plain,((~trans(s299, s133)) | until2p7(s133) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18122,plain,
% 5.21/4.03 (~trans(s299, s133)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18121, 14550, 12444])).
% 5.21/4.03 tff(18123,assumption,(~until2p7(s286)), introduced(assumption)).
% 5.21/4.03 tff(18124,assumption,(trans(s299, s286)), introduced(assumption)).
% 5.21/4.03 tff(18125,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s286) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s286)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s286)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18126,plain,
% 5.21/4.03 (((~trans(s299, s286)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s286)) <=> (until2p7(s286) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s286)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18127,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s286)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s286) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s286))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18126])).
% 5.21/4.03 tff(18128,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s286)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s286))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s286)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18127, 18125])).
% 5.21/4.03 tff(18129,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s286)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s286))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18130,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s286) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s286))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18129, 18128])).
% 5.21/4.03 tff(18131,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18130, 12455, 18124, 12541, 18123, 15747])).
% 5.21/4.03 tff(18132,plain,((~trans(s299, s286)) | until2p7(s286) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18133,plain,
% 5.21/4.03 (~trans(s299, s286)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18132, 12635, 12444])).
% 5.21/4.03 tff(18134,assumption,(~until2p7(s48)), introduced(assumption)).
% 5.21/4.03 tff(18135,assumption,(trans(s299, s48)), introduced(assumption)).
% 5.21/4.03 tff(18136,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s48)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s48)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18137,plain,
% 5.21/4.03 (((~trans(s299, s48)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s48)) <=> (until2p7(s48) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s48)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18138,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s48)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s48) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s48))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18137])).
% 5.21/4.03 tff(18139,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s48)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s48))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s48)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18138, 18136])).
% 5.21/4.03 tff(18140,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s48)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s48))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18141,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s48) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s48))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18140, 18139])).
% 5.21/4.03 tff(18142,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18141, 12455, 18135, 12541, 18134, 15747])).
% 5.21/4.03 tff(18143,plain,((~trans(s299, s48)) | until2p7(s48) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18144,plain,
% 5.21/4.03 (~trans(s299, s48)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18143, 15697, 12444])).
% 5.21/4.03 tff(18145,assumption,(~until2p7(s94)), introduced(assumption)).
% 5.21/4.03 tff(18146,assumption,(trans(s299, s94)), introduced(assumption)).
% 5.21/4.03 tff(18147,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s94)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s94)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18148,plain,
% 5.21/4.03 (((~trans(s299, s94)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s94)) <=> (until2p7(s94) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s94)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18149,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s94)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s94) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s94))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18148])).
% 5.21/4.03 tff(18150,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s94)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s94))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s94)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18149, 18147])).
% 5.21/4.03 tff(18151,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s94)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s94))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18152,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s94) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s94))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18151, 18150])).
% 5.21/4.03 tff(18153,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18152, 12455, 18146, 12541, 18145, 15747])).
% 5.21/4.03 tff(18154,plain,((~trans(s299, s94)) | until2p7(s94) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18155,plain,
% 5.21/4.03 (~trans(s299, s94)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18154, 14952, 12444])).
% 5.21/4.03 tff(18156,assumption,(~until2p7(s219)), introduced(assumption)).
% 5.21/4.03 tff(18157,assumption,(trans(s299, s219)), introduced(assumption)).
% 5.21/4.03 tff(18158,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s219) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s219)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s219)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18159,plain,
% 5.21/4.03 (((~trans(s299, s219)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s219)) <=> (until2p7(s219) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s219)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18160,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s219)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s219) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s219))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18159])).
% 5.21/4.03 tff(18161,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s219)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s219))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s219)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18160, 18158])).
% 5.21/4.03 tff(18162,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s219)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s219))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18163,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s219) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s219))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18162, 18161])).
% 5.21/4.03 tff(18164,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18163, 12455, 18157, 12541, 18156, 15747])).
% 5.21/4.03 tff(18165,plain,((~trans(s299, s219)) | until2p7(s219) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18166,plain,
% 5.21/4.03 (~trans(s299, s219)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18165, 13521, 12444])).
% 5.21/4.03 tff(18167,assumption,(~until2p7(s104)), introduced(assumption)).
% 5.21/4.03 tff(18168,assumption,(trans(s299, s104)), introduced(assumption)).
% 5.21/4.03 tff(18169,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s104) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s104)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s104)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18170,plain,
% 5.21/4.03 (((~trans(s299, s104)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s104)) <=> (until2p7(s104) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s104)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18171,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s104)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s104) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s104))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18170])).
% 5.21/4.03 tff(18172,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s104)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s104))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s104)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18171, 18169])).
% 5.21/4.03 tff(18173,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s104)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s104))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18174,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s104) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s104))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18173, 18172])).
% 5.21/4.03 tff(18175,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18174, 12455, 18168, 12541, 18167, 15747])).
% 5.21/4.03 tff(18176,plain,((~trans(s299, s104)) | until2p7(s104) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18177,plain,
% 5.21/4.03 (~trans(s299, s104)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18176, 14840, 12444])).
% 5.21/4.03 tff(18178,assumption,(~until2p7(s223)), introduced(assumption)).
% 5.21/4.03 tff(18179,assumption,(trans(s299, s223)), introduced(assumption)).
% 5.21/4.03 tff(18180,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s223) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s223)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s223)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18181,plain,
% 5.21/4.03 (((~trans(s299, s223)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s223)) <=> (until2p7(s223) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s223)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18182,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s223)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s223) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s223))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18181])).
% 5.21/4.03 tff(18183,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s223)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s223))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s223)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18182, 18180])).
% 5.21/4.03 tff(18184,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s223)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s223))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18185,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s223) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s223))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18184, 18183])).
% 5.21/4.03 tff(18186,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18185, 12455, 18179, 12541, 18178, 15747])).
% 5.21/4.03 tff(18187,plain,((~trans(s299, s223)) | until2p7(s223) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18188,plain,
% 5.21/4.03 (~trans(s299, s223)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18187, 13478, 12444])).
% 5.21/4.03 tff(18189,assumption,(~until2p7(s27)), introduced(assumption)).
% 5.21/4.03 tff(18190,assumption,(trans(s299, s27)), introduced(assumption)).
% 5.21/4.03 tff(18191,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s27)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s27)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18192,plain,
% 5.21/4.03 (((~trans(s299, s27)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s27)) <=> (until2p7(s27) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s27)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18193,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s27)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s27) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s27))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18192])).
% 5.21/4.03 tff(18194,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s27)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s27))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s27)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18193, 18191])).
% 5.21/4.03 tff(18195,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s27)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s27))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18196,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s27) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s27))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 5.21/4.03 tff(18197,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18196, 12455, 18190, 12541, 18189, 15747])).
% 5.21/4.03 tff(18198,plain,((~trans(s299, s27)) | until2p7(s27) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18199,plain,
% 5.21/4.03 (~trans(s299, s27)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18198, 15994, 12444])).
% 5.21/4.03 tff(18200,assumption,(~until2p7(s216)), introduced(assumption)).
% 5.21/4.03 tff(18201,assumption,(trans(s299, s216)), introduced(assumption)).
% 5.21/4.03 tff(18202,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s216) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s216)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s216)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18203,plain,
% 5.21/4.03 (((~trans(s299, s216)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s216)) <=> (until2p7(s216) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s216)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18204,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s216)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s216) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s216))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18203])).
% 5.21/4.03 tff(18205,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s216)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s216))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s216)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18204, 18202])).
% 5.21/4.03 tff(18206,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s216)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s216))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18207,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s216) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s216))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18206, 18205])).
% 5.21/4.03 tff(18208,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18207, 12455, 18201, 12541, 18200, 15747])).
% 5.21/4.03 tff(18209,plain,((~trans(s299, s216)) | until2p7(s216) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.03 tff(18210,plain,
% 5.21/4.03 (~trans(s299, s216)),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18209, 13588, 12444])).
% 5.21/4.03 tff(18211,assumption,(~until2p7(s189)), introduced(assumption)).
% 5.21/4.03 tff(18212,assumption,(trans(s299, s189)), introduced(assumption)).
% 5.21/4.03 tff(18213,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s189) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s189)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s189)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18214,plain,
% 5.21/4.03 (((~trans(s299, s189)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s189)) <=> (until2p7(s189) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s189)))),
% 5.21/4.03 inference(rewrite,[status(thm)],[])).
% 5.21/4.03 tff(18215,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s189)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s189) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s189))))),
% 5.21/4.03 inference(monotonicity,[status(thm)],[18214])).
% 5.21/4.03 tff(18216,plain,
% 5.21/4.03 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s189)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s189))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s189)))),
% 5.21/4.03 inference(transitivity,[status(thm)],[18215, 18213])).
% 5.21/4.03 tff(18217,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s189)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s189))),
% 5.21/4.03 inference(quant_inst,[status(thm)],[])).
% 5.21/4.03 tff(18218,plain,
% 5.21/4.03 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s189) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s189))),
% 5.21/4.03 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 5.21/4.03 tff(18219,plain,
% 5.21/4.03 ($false),
% 5.21/4.03 inference(unit_resolution,[status(thm)],[18218, 12455, 18212, 12541, 18211, 15747])).
% 5.21/4.04 tff(18220,plain,((~trans(s299, s189)) | until2p7(s189) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18221,plain,
% 5.21/4.04 (~trans(s299, s189)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18220, 13986, 12444])).
% 5.21/4.04 tff(18222,assumption,(~until2p7(s91)), introduced(assumption)).
% 5.21/4.04 tff(18223,assumption,(trans(s299, s91)), introduced(assumption)).
% 5.21/4.04 tff(18224,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s91)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s91)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18225,plain,
% 5.21/4.04 (((~trans(s299, s91)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s91)) <=> (until2p7(s91) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s91)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18226,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s91)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s91) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s91))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18225])).
% 5.21/4.04 tff(18227,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s91)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s91))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s91)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18226, 18224])).
% 5.21/4.04 tff(18228,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s91)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s91))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18229,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s91) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s91))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18228, 18227])).
% 5.21/4.04 tff(18230,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18229, 12455, 18223, 12541, 18222, 15747])).
% 5.21/4.04 tff(18231,plain,((~trans(s299, s91)) | until2p7(s91) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18232,plain,
% 5.21/4.04 (~trans(s299, s91)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18231, 15014, 12444])).
% 5.21/4.04 tff(18233,assumption,(~until2p7(s169)), introduced(assumption)).
% 5.21/4.04 tff(18234,assumption,(trans(s299, s169)), introduced(assumption)).
% 5.21/4.04 tff(18235,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s169) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s169)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s169)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18236,plain,
% 5.21/4.04 (((~trans(s299, s169)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s169)) <=> (until2p7(s169) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s169)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18237,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s169)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s169) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s169))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18236])).
% 5.21/4.04 tff(18238,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s169)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s169))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s169)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18237, 18235])).
% 5.21/4.04 tff(18239,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s169)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s169))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18240,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s169) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s169))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18239, 18238])).
% 5.21/4.04 tff(18241,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18240, 12455, 18234, 12541, 18233, 15747])).
% 5.21/4.04 tff(18242,plain,((~trans(s299, s169)) | until2p7(s169) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18243,plain,
% 5.21/4.04 (~trans(s299, s169)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18242, 14190, 12444])).
% 5.21/4.04 tff(18244,assumption,(~until2p7(s226)), introduced(assumption)).
% 5.21/4.04 tff(18245,assumption,(trans(s299, s226)), introduced(assumption)).
% 5.21/4.04 tff(18246,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s226) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s226)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s226)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18247,plain,
% 5.21/4.04 (((~trans(s299, s226)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s226)) <=> (until2p7(s226) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s226)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18248,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s226)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s226) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s226))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18247])).
% 5.21/4.04 tff(18249,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s226)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s226))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s226)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18248, 18246])).
% 5.21/4.04 tff(18250,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s226)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s226))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18251,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s226) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s226))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18250, 18249])).
% 5.21/4.04 tff(18252,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18251, 12455, 18245, 12541, 18244, 15747])).
% 5.21/4.04 tff(18253,plain,((~trans(s299, s226)) | until2p7(s226) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18254,plain,
% 5.21/4.04 (~trans(s299, s226)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18253, 13411, 12444])).
% 5.21/4.04 tff(18255,assumption,(~until2p7(s127)), introduced(assumption)).
% 5.21/4.04 tff(18256,assumption,(trans(s299, s127)), introduced(assumption)).
% 5.21/4.04 tff(18257,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s127) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s127)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s127)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18258,plain,
% 5.21/4.04 (((~trans(s299, s127)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s127)) <=> (until2p7(s127) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s127)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18259,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s127)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s127) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s127))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18258])).
% 5.21/4.04 tff(18260,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s127)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s127))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s127)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18259, 18257])).
% 5.21/4.04 tff(18261,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s127)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s127))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18262,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s127) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s127))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18261, 18260])).
% 5.21/4.04 tff(18263,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18262, 12455, 18256, 12541, 18255, 15747])).
% 5.21/4.04 tff(18264,plain,((~trans(s299, s127)) | until2p7(s127) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18265,plain,
% 5.21/4.04 (~trans(s299, s127)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18264, 14610, 12444])).
% 5.21/4.04 tff(18266,assumption,(~until2p7(s243)), introduced(assumption)).
% 5.21/4.04 tff(18267,assumption,(trans(s299, s243)), introduced(assumption)).
% 5.21/4.04 tff(18268,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s243) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s243)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s243)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18269,plain,
% 5.21/4.04 (((~trans(s299, s243)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s243)) <=> (until2p7(s243) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s243)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18270,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s243)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s243) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s243))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18269])).
% 5.21/4.04 tff(18271,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s243)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s243))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s243)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18270, 18268])).
% 5.21/4.04 tff(18272,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s243)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s243))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18273,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s243) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s243))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18272, 18271])).
% 5.21/4.04 tff(18274,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18273, 12455, 18267, 12541, 18266, 15747])).
% 5.21/4.04 tff(18275,plain,((~trans(s299, s243)) | until2p7(s243) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18276,plain,
% 5.21/4.04 (~trans(s299, s243)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18275, 13163, 12444])).
% 5.21/4.04 tff(18277,assumption,(~until2p7(s61)), introduced(assumption)).
% 5.21/4.04 tff(18278,assumption,(trans(s299, s61)), introduced(assumption)).
% 5.21/4.04 tff(18279,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s61)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s61)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18280,plain,
% 5.21/4.04 (((~trans(s299, s61)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s61)) <=> (until2p7(s61) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s61)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18281,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s61)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s61) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s61))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18280])).
% 5.21/4.04 tff(18282,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s61)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s61))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s61)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18281, 18279])).
% 5.21/4.04 tff(18283,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s61)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s61))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18284,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s61) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s61))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18283, 18282])).
% 5.21/4.04 tff(18285,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18284, 12455, 18278, 12541, 18277, 15747])).
% 5.21/4.04 tff(18286,plain,((~trans(s299, s61)) | until2p7(s61) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18287,plain,
% 5.21/4.04 (~trans(s299, s61)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18286, 15511, 12444])).
% 5.21/4.04 tff(18288,assumption,(~until2p7(s234)), introduced(assumption)).
% 5.21/4.04 tff(18289,assumption,(trans(s299, s234)), introduced(assumption)).
% 5.21/4.04 tff(18290,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s234) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s234)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s234)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18291,plain,
% 5.21/4.04 (((~trans(s299, s234)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s234)) <=> (until2p7(s234) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s234)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18292,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s234)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s234) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s234))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18291])).
% 5.21/4.04 tff(18293,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s234)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s234))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s234)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18292, 18290])).
% 5.21/4.04 tff(18294,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s234)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s234))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18295,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s234) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s234))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18294, 18293])).
% 5.21/4.04 tff(18296,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18295, 12455, 18289, 12541, 18288, 15747])).
% 5.21/4.04 tff(18297,plain,((~trans(s299, s234)) | until2p7(s234) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18298,plain,
% 5.21/4.04 (~trans(s299, s234)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18297, 13255, 12444])).
% 5.21/4.04 tff(18299,assumption,(~until2p7(s105)), introduced(assumption)).
% 5.21/4.04 tff(18300,assumption,(trans(s299, s105)), introduced(assumption)).
% 5.21/4.04 tff(18301,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s105) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s105)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s105)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18302,plain,
% 5.21/4.04 (((~trans(s299, s105)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s105)) <=> (until2p7(s105) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s105)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18303,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s105)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s105) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s105))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18302])).
% 5.21/4.04 tff(18304,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s105)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s105))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s105)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18303, 18301])).
% 5.21/4.04 tff(18305,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s105)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s105))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18306,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s105) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s105))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18305, 18304])).
% 5.21/4.04 tff(18307,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18306, 12455, 18300, 12541, 18299, 15747])).
% 5.21/4.04 tff(18308,plain,((~trans(s299, s105)) | until2p7(s105) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18309,plain,
% 5.21/4.04 (~trans(s299, s105)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18308, 14830, 12444])).
% 5.21/4.04 tff(18310,assumption,(~until2p7(s132)), introduced(assumption)).
% 5.21/4.04 tff(18311,assumption,(trans(s299, s132)), introduced(assumption)).
% 5.21/4.04 tff(18312,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s132) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s132)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s132)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18313,plain,
% 5.21/4.04 (((~trans(s299, s132)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s132)) <=> (until2p7(s132) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s132)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18314,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s132)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s132) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s132))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18313])).
% 5.21/4.04 tff(18315,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s132)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s132))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s132)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18314, 18312])).
% 5.21/4.04 tff(18316,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s132)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s132))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18317,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s132) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s132))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18316, 18315])).
% 5.21/4.04 tff(18318,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18317, 12455, 18311, 12541, 18310, 15747])).
% 5.21/4.04 tff(18319,plain,((~trans(s299, s132)) | until2p7(s132) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18320,plain,
% 5.21/4.04 (~trans(s299, s132)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18319, 14560, 12444])).
% 5.21/4.04 tff(18321,assumption,(~until2p7(s238)), introduced(assumption)).
% 5.21/4.04 tff(18322,assumption,(trans(s299, s238)), introduced(assumption)).
% 5.21/4.04 tff(18323,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s238) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s238)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s238)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18324,plain,
% 5.21/4.04 (((~trans(s299, s238)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s238)) <=> (until2p7(s238) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s238)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18325,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s238)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s238) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s238))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18324])).
% 5.21/4.04 tff(18326,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s238)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s238))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s238)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18325, 18323])).
% 5.21/4.04 tff(18327,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s238)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s238))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18328,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s238) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s238))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18327, 18326])).
% 5.21/4.04 tff(18329,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18328, 12455, 18322, 12541, 18321, 15747])).
% 5.21/4.04 tff(18330,plain,((~trans(s299, s238)) | until2p7(s238) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18331,plain,
% 5.21/4.04 (~trans(s299, s238)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18330, 13213, 12444])).
% 5.21/4.04 tff(18332,assumption,(~until2p7(s258)), introduced(assumption)).
% 5.21/4.04 tff(18333,assumption,(trans(s299, s258)), introduced(assumption)).
% 5.21/4.04 tff(18334,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s258) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s258)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s258)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18335,plain,
% 5.21/4.04 (((~trans(s299, s258)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s258)) <=> (until2p7(s258) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s258)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18336,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s258)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s258) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s258))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18335])).
% 5.21/4.04 tff(18337,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s258)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s258))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s258)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18336, 18334])).
% 5.21/4.04 tff(18338,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s258)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s258))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18339,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s258) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s258))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18338, 18337])).
% 5.21/4.04 tff(18340,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18339, 12455, 18333, 12541, 18332, 15747])).
% 5.21/4.04 tff(18341,plain,((~trans(s299, s258)) | until2p7(s258) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18342,plain,
% 5.21/4.04 (~trans(s299, s258)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18341, 12976, 12444])).
% 5.21/4.04 tff(18343,assumption,(~until2p7(s139)), introduced(assumption)).
% 5.21/4.04 tff(18344,assumption,(trans(s299, s139)), introduced(assumption)).
% 5.21/4.04 tff(18345,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s139) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s139)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s139)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18346,plain,
% 5.21/4.04 (((~trans(s299, s139)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s139)) <=> (until2p7(s139) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s139)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18347,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s139)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s139) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s139))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18346])).
% 5.21/4.04 tff(18348,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s139)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s139))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s139)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18347, 18345])).
% 5.21/4.04 tff(18349,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s139)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s139))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18350,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s139) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s139))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18349, 18348])).
% 5.21/4.04 tff(18351,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18350, 12455, 18344, 12541, 18343, 15747])).
% 5.21/4.04 tff(18352,plain,((~trans(s299, s139)) | until2p7(s139) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18353,plain,
% 5.21/4.04 (~trans(s299, s139)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18352, 14490, 12444])).
% 5.21/4.04 tff(18354,assumption,(~until2p7(s181)), introduced(assumption)).
% 5.21/4.04 tff(18355,assumption,(trans(s299, s181)), introduced(assumption)).
% 5.21/4.04 tff(18356,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s181) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s181)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s181)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18357,plain,
% 5.21/4.04 (((~trans(s299, s181)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s181)) <=> (until2p7(s181) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s181)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18358,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s181)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s181) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s181))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18357])).
% 5.21/4.04 tff(18359,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s181)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s181))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s181)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18358, 18356])).
% 5.21/4.04 tff(18360,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s181)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s181))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18361,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s181) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s181))),
% 5.21/4.04 inference(modus_ponens,[status(thm)],[18360, 18359])).
% 5.21/4.04 tff(18362,plain,
% 5.21/4.04 ($false),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18361, 12455, 18355, 12541, 18354, 15747])).
% 5.21/4.04 tff(18363,plain,((~trans(s299, s181)) | until2p7(s181) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.04 tff(18364,plain,
% 5.21/4.04 (~trans(s299, s181)),
% 5.21/4.04 inference(unit_resolution,[status(thm)],[18363, 14070, 12444])).
% 5.21/4.04 tff(18365,assumption,(~until2p7(s10)), introduced(assumption)).
% 5.21/4.04 tff(18366,assumption,(trans(s299, s10)), introduced(assumption)).
% 5.21/4.04 tff(18367,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s10)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s10)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18368,plain,
% 5.21/4.04 (((~trans(s299, s10)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s10)) <=> (until2p7(s10) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s10)))),
% 5.21/4.04 inference(rewrite,[status(thm)],[])).
% 5.21/4.04 tff(18369,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s10)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s10) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s10))))),
% 5.21/4.04 inference(monotonicity,[status(thm)],[18368])).
% 5.21/4.04 tff(18370,plain,
% 5.21/4.04 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s10)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s10))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s10)))),
% 5.21/4.04 inference(transitivity,[status(thm)],[18369, 18367])).
% 5.21/4.04 tff(18371,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s10)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s10))),
% 5.21/4.04 inference(quant_inst,[status(thm)],[])).
% 5.21/4.04 tff(18372,plain,
% 5.21/4.04 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s10) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s10))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18371, 18370])).
% 5.21/4.05 tff(18373,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18372, 12455, 18366, 12541, 18365, 15747])).
% 5.21/4.05 tff(18374,plain,((~trans(s299, s10)) | until2p7(s10) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18375,plain,
% 5.21/4.05 (~trans(s299, s10)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18374, 16297, 12444])).
% 5.21/4.05 tff(18376,assumption,(~until2p7(s232)), introduced(assumption)).
% 5.21/4.05 tff(18377,assumption,(trans(s299, s232)), introduced(assumption)).
% 5.21/4.05 tff(18378,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s232) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s232)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s232)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18379,plain,
% 5.21/4.05 (((~trans(s299, s232)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s232)) <=> (until2p7(s232) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s232)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18380,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s232)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s232) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s232))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18379])).
% 5.21/4.05 tff(18381,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s232)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s232))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s232)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18380, 18378])).
% 5.21/4.05 tff(18382,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s232)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s232))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18383,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s232) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s232))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18382, 18381])).
% 5.21/4.05 tff(18384,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18383, 12455, 18377, 12541, 18376, 15747])).
% 5.21/4.05 tff(18385,plain,((~trans(s299, s232)) | until2p7(s232) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18386,plain,
% 5.21/4.05 (~trans(s299, s232)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18385, 13277, 12444])).
% 5.21/4.05 tff(18387,assumption,(~until2p7(s255)), introduced(assumption)).
% 5.21/4.05 tff(18388,assumption,(trans(s299, s255)), introduced(assumption)).
% 5.21/4.05 tff(18389,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s255) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s255)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s255)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18390,plain,
% 5.21/4.05 (((~trans(s299, s255)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s255)) <=> (until2p7(s255) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s255)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18391,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s255)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s255) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s255))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18390])).
% 5.21/4.05 tff(18392,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s255)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s255))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s255)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18391, 18389])).
% 5.21/4.05 tff(18393,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s255)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s255))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18394,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s255) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s255))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18393, 18392])).
% 5.21/4.05 tff(18395,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18394, 12455, 18388, 12541, 18387, 15747])).
% 5.21/4.05 tff(18396,plain,((~trans(s299, s255)) | until2p7(s255) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18397,plain,
% 5.21/4.05 (~trans(s299, s255)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18396, 13043, 12444])).
% 5.21/4.05 tff(18398,assumption,(~until2p7(s141)), introduced(assumption)).
% 5.21/4.05 tff(18399,assumption,(trans(s299, s141)), introduced(assumption)).
% 5.21/4.05 tff(18400,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s141) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s141)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s141)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18401,plain,
% 5.21/4.05 (((~trans(s299, s141)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s141)) <=> (until2p7(s141) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s141)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18402,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s141)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s141) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s141))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18401])).
% 5.21/4.05 tff(18403,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s141)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s141))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s141)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18402, 18400])).
% 5.21/4.05 tff(18404,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s141)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s141))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18405,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s141) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s141))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18404, 18403])).
% 5.21/4.05 tff(18406,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18405, 12455, 18399, 12541, 18398, 15747])).
% 5.21/4.05 tff(18407,plain,((~trans(s299, s141)) | until2p7(s141) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18408,plain,
% 5.21/4.05 (~trans(s299, s141)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18407, 14470, 12444])).
% 5.21/4.05 tff(18409,assumption,(~until2p7(s231)), introduced(assumption)).
% 5.21/4.05 tff(18410,assumption,(trans(s299, s231)), introduced(assumption)).
% 5.21/4.05 tff(18411,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s231) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s231)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s231)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18412,plain,
% 5.21/4.05 (((~trans(s299, s231)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s231)) <=> (until2p7(s231) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s231)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18413,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s231)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s231) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s231))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18412])).
% 5.21/4.05 tff(18414,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s231)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s231))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s231)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18413, 18411])).
% 5.21/4.05 tff(18415,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s231)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s231))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18416,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s231) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s231))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18415, 18414])).
% 5.21/4.05 tff(18417,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18416, 12455, 18410, 12541, 18409, 15747])).
% 5.21/4.05 tff(18418,plain,((~trans(s299, s231)) | until2p7(s231) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18419,plain,
% 5.21/4.05 (~trans(s299, s231)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18418, 13288, 12444])).
% 5.21/4.05 tff(18420,assumption,(~until2p7(s213)), introduced(assumption)).
% 5.21/4.05 tff(18421,assumption,(trans(s299, s213)), introduced(assumption)).
% 5.21/4.05 tff(18422,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s213) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s213)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s213)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18423,plain,
% 5.21/4.05 (((~trans(s299, s213)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s213)) <=> (until2p7(s213) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s213)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18424,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s213)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s213) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s213))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18423])).
% 5.21/4.05 tff(18425,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s213)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s213))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s213)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18424, 18422])).
% 5.21/4.05 tff(18426,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s213)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s213))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18427,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s213) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s213))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18426, 18425])).
% 5.21/4.05 tff(18428,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18427, 12455, 18421, 12541, 18420, 15747])).
% 5.21/4.05 tff(18429,plain,((~trans(s299, s213)) | until2p7(s213) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18430,plain,
% 5.21/4.05 (~trans(s299, s213)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18429, 13621, 12444])).
% 5.21/4.05 tff(18431,assumption,(~until2p7(s283)), introduced(assumption)).
% 5.21/4.05 tff(18432,assumption,(trans(s299, s283)), introduced(assumption)).
% 5.21/4.05 tff(18433,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s283) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s283)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s283)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18434,plain,
% 5.21/4.05 (((~trans(s299, s283)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s283)) <=> (until2p7(s283) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s283)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18435,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s283)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s283) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s283))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18434])).
% 5.21/4.05 tff(18436,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s283)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s283))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s283)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18435, 18433])).
% 5.21/4.05 tff(18437,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s283)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s283))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18438,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s283) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s283))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18437, 18436])).
% 5.21/4.05 tff(18439,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18438, 12455, 18432, 12541, 18431, 15747])).
% 5.21/4.05 tff(18440,plain,((~trans(s299, s283)) | until2p7(s283) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18441,plain,
% 5.21/4.05 (~trans(s299, s283)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18440, 12702, 12444])).
% 5.21/4.05 tff(18442,assumption,(~until2p7(s138)), introduced(assumption)).
% 5.21/4.05 tff(18443,assumption,(trans(s299, s138)), introduced(assumption)).
% 5.21/4.05 tff(18444,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s138) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s138)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s138)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18445,plain,
% 5.21/4.05 (((~trans(s299, s138)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s138)) <=> (until2p7(s138) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s138)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18446,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s138)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s138) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s138))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18445])).
% 5.21/4.05 tff(18447,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s138)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s138))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s138)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18446, 18444])).
% 5.21/4.05 tff(18448,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s138)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s138))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18449,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s138) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s138))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18448, 18447])).
% 5.21/4.05 tff(18450,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18449, 12455, 18443, 12541, 18442, 15747])).
% 5.21/4.05 tff(18451,plain,((~trans(s299, s138)) | until2p7(s138) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18452,plain,
% 5.21/4.05 (~trans(s299, s138)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18451, 14500, 12444])).
% 5.21/4.05 tff(18453,assumption,(~until2p7(s34)), introduced(assumption)).
% 5.21/4.05 tff(18454,assumption,(trans(s299, s34)), introduced(assumption)).
% 5.21/4.05 tff(18455,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s34)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s34)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18456,plain,
% 5.21/4.05 (((~trans(s299, s34)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s34)) <=> (until2p7(s34) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s34)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18457,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s34)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s34) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s34))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18456])).
% 5.21/4.05 tff(18458,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s34)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s34))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s34)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18457, 18455])).
% 5.21/4.05 tff(18459,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s34)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s34))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18460,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s34) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s34))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18459, 18458])).
% 5.21/4.05 tff(18461,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18460, 12455, 18454, 12541, 18453, 15747])).
% 5.21/4.05 tff(18462,plain,((~trans(s299, s34)) | until2p7(s34) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18463,plain,
% 5.21/4.05 (~trans(s299, s34)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18462, 15910, 12444])).
% 5.21/4.05 tff(18464,assumption,(~until2p7(s260)), introduced(assumption)).
% 5.21/4.05 tff(18465,assumption,(trans(s299, s260)), introduced(assumption)).
% 5.21/4.05 tff(18466,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s260) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s260)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s260)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18467,plain,
% 5.21/4.05 (((~trans(s299, s260)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s260)) <=> (until2p7(s260) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s260)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18468,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s260)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s260) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s260))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18467])).
% 5.21/4.05 tff(18469,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s260)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s260))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s260)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18468, 18466])).
% 5.21/4.05 tff(18470,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s260)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s260))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18471,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s260) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s260))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18470, 18469])).
% 5.21/4.05 tff(18472,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18471, 12455, 18465, 12541, 18464, 15747])).
% 5.21/4.05 tff(18473,plain,((~trans(s299, s260)) | until2p7(s260) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18474,plain,
% 5.21/4.05 (~trans(s299, s260)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18473, 12954, 12444])).
% 5.21/4.05 tff(18475,assumption,(~until2p7(s80)), introduced(assumption)).
% 5.21/4.05 tff(18476,assumption,(trans(s299, s80)), introduced(assumption)).
% 5.21/4.05 tff(18477,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s80)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s80)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18478,plain,
% 5.21/4.05 (((~trans(s299, s80)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s80)) <=> (until2p7(s80) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s80)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18479,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s80)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s80) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s80))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18478])).
% 5.21/4.05 tff(18480,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s80)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s80))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s80)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18479, 18477])).
% 5.21/4.05 tff(18481,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s80)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s80))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18482,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s80) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s80))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18481, 18480])).
% 5.21/4.05 tff(18483,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18482, 12455, 18476, 12541, 18475, 15747])).
% 5.21/4.05 tff(18484,plain,((~trans(s299, s80)) | until2p7(s80) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18485,plain,
% 5.21/4.05 (~trans(s299, s80)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18484, 15214, 12444])).
% 5.21/4.05 tff(18486,assumption,(~until2p7(s134)), introduced(assumption)).
% 5.21/4.05 tff(18487,assumption,(trans(s299, s134)), introduced(assumption)).
% 5.21/4.05 tff(18488,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s134) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s134)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s134)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18489,plain,
% 5.21/4.05 (((~trans(s299, s134)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s134)) <=> (until2p7(s134) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s134)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18490,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s134)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s134) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s134))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18489])).
% 5.21/4.05 tff(18491,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s134)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s134))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s134)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18490, 18488])).
% 5.21/4.05 tff(18492,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s134)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s134))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18493,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s134) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s134))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18492, 18491])).
% 5.21/4.05 tff(18494,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18493, 12455, 18487, 12541, 18486, 15747])).
% 5.21/4.05 tff(18495,plain,((~trans(s299, s134)) | until2p7(s134) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18496,plain,
% 5.21/4.05 (~trans(s299, s134)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18495, 14540, 12444])).
% 5.21/4.05 tff(18497,assumption,(~until2p7(s4)), introduced(assumption)).
% 5.21/4.05 tff(18498,assumption,(trans(s299, s4)), introduced(assumption)).
% 5.21/4.05 tff(18499,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s4)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s4)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18500,plain,
% 5.21/4.05 (((~trans(s299, s4)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s4)) <=> (until2p7(s4) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s4)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18501,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s4)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s4) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s4))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18500])).
% 5.21/4.05 tff(18502,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s4)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s4))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s4)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18501, 18499])).
% 5.21/4.05 tff(18503,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s4)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s4))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18504,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s4) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s4))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18503, 18502])).
% 5.21/4.05 tff(18505,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18504, 12455, 18498, 12541, 18497, 15747])).
% 5.21/4.05 tff(18506,plain,((~trans(s299, s4)) | until2p7(s4) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18507,plain,
% 5.21/4.05 (~trans(s299, s4)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18506, 16369, 12444])).
% 5.21/4.05 tff(18508,assumption,(~until2p7(s117)), introduced(assumption)).
% 5.21/4.05 tff(18509,assumption,(trans(s299, s117)), introduced(assumption)).
% 5.21/4.05 tff(18510,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s117) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s117)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s117)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18511,plain,
% 5.21/4.05 (((~trans(s299, s117)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s117)) <=> (until2p7(s117) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s117)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18512,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s117)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s117) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s117))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18511])).
% 5.21/4.05 tff(18513,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s117)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s117))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s117)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18512, 18510])).
% 5.21/4.05 tff(18514,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s117)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s117))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18515,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s117) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s117))),
% 5.21/4.05 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 5.21/4.05 tff(18516,plain,
% 5.21/4.05 ($false),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18515, 12455, 18509, 12541, 18508, 15747])).
% 5.21/4.05 tff(18517,plain,((~trans(s299, s117)) | until2p7(s117) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.05 tff(18518,plain,
% 5.21/4.05 (~trans(s299, s117)),
% 5.21/4.05 inference(unit_resolution,[status(thm)],[18517, 14710, 12444])).
% 5.21/4.05 tff(18519,assumption,(~until2p7(s259)), introduced(assumption)).
% 5.21/4.05 tff(18520,assumption,(trans(s299, s259)), introduced(assumption)).
% 5.21/4.05 tff(18521,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s259) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s259)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s259)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18522,plain,
% 5.21/4.05 (((~trans(s299, s259)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s259)) <=> (until2p7(s259) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s259)))),
% 5.21/4.05 inference(rewrite,[status(thm)],[])).
% 5.21/4.05 tff(18523,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s259)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s259) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s259))))),
% 5.21/4.05 inference(monotonicity,[status(thm)],[18522])).
% 5.21/4.05 tff(18524,plain,
% 5.21/4.05 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s259)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s259))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s259)))),
% 5.21/4.05 inference(transitivity,[status(thm)],[18523, 18521])).
% 5.21/4.05 tff(18525,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s259)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s259))),
% 5.21/4.05 inference(quant_inst,[status(thm)],[])).
% 5.21/4.05 tff(18526,plain,
% 5.21/4.05 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s259) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s259))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18525, 18524])).
% 5.21/4.06 tff(18527,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18526, 12455, 18520, 12541, 18519, 15747])).
% 5.21/4.06 tff(18528,plain,((~trans(s299, s259)) | until2p7(s259) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18529,plain,
% 5.21/4.06 (~trans(s299, s259)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18528, 12444, 12965])).
% 5.21/4.06 tff(18530,assumption,(~until2p7(s145)), introduced(assumption)).
% 5.21/4.06 tff(18531,assumption,(trans(s299, s145)), introduced(assumption)).
% 5.21/4.06 tff(18532,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s145) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s145)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s145)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18533,plain,
% 5.21/4.06 (((~trans(s299, s145)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s145)) <=> (until2p7(s145) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s145)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18534,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s145)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s145) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s145))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18533])).
% 5.21/4.06 tff(18535,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s145)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s145))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s145)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18534, 18532])).
% 5.21/4.06 tff(18536,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s145)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s145))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18537,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s145) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s145))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18536, 18535])).
% 5.21/4.06 tff(18538,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18537, 12455, 18531, 12541, 18530, 15747])).
% 5.21/4.06 tff(18539,plain,((~trans(s299, s145)) | until2p7(s145) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18540,plain,
% 5.21/4.06 (~trans(s299, s145)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18539, 14430, 12444])).
% 5.21/4.06 tff(18541,assumption,(~until2p7(s82)), introduced(assumption)).
% 5.21/4.06 tff(18542,assumption,(trans(s299, s82)), introduced(assumption)).
% 5.21/4.06 tff(18543,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s82)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s82)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18544,plain,
% 5.21/4.06 (((~trans(s299, s82)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s82)) <=> (until2p7(s82) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s82)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18545,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s82)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s82) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s82))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18544])).
% 5.21/4.06 tff(18546,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s82)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s82))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s82)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18545, 18543])).
% 5.21/4.06 tff(18547,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s82)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s82))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18548,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s82) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s82))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18547, 18546])).
% 5.21/4.06 tff(18549,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18548, 12455, 18542, 12541, 18541, 15747])).
% 5.21/4.06 tff(18550,plain,((~trans(s299, s82)) | until2p7(s82) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18551,plain,
% 5.21/4.06 (~trans(s299, s82)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18550, 15156, 12444])).
% 5.21/4.06 tff(18552,assumption,(~until2p7(s42)), introduced(assumption)).
% 5.21/4.06 tff(18553,assumption,(trans(s299, s42)), introduced(assumption)).
% 5.21/4.06 tff(18554,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s42)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s42)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18555,plain,
% 5.21/4.06 (((~trans(s299, s42)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s42)) <=> (until2p7(s42) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s42)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18556,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s42)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s42) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s42))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18555])).
% 5.21/4.06 tff(18557,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s42)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s42))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s42)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18556, 18554])).
% 5.21/4.06 tff(18558,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s42)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s42))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18559,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s42) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s42))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18558, 18557])).
% 5.21/4.06 tff(18560,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18559, 12455, 18553, 12541, 18552, 15747])).
% 5.21/4.06 tff(18561,plain,((~trans(s299, s42)) | until2p7(s42) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18562,plain,
% 5.21/4.06 (~trans(s299, s42)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18561, 15815, 12444])).
% 5.21/4.06 tff(18563,assumption,(~until2p7(s205)), introduced(assumption)).
% 5.21/4.06 tff(18564,assumption,(trans(s299, s205)), introduced(assumption)).
% 5.21/4.06 tff(18565,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s205) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s205)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s205)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18566,plain,
% 5.21/4.06 (((~trans(s299, s205)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s205)) <=> (until2p7(s205) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s205)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18567,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s205)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s205) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s205))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18566])).
% 5.21/4.06 tff(18568,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s205)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s205))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s205)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18567, 18565])).
% 5.21/4.06 tff(18569,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s205)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s205))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18570,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s205) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s205))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18569, 18568])).
% 5.21/4.06 tff(18571,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18570, 12455, 18564, 12541, 18563, 15747])).
% 5.21/4.06 tff(18572,plain,((~trans(s299, s205)) | until2p7(s205) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18573,plain,
% 5.21/4.06 (~trans(s299, s205)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18572, 12444, 13777])).
% 5.21/4.06 tff(18574,assumption,(~until2p7(s159)), introduced(assumption)).
% 5.21/4.06 tff(18575,assumption,(trans(s299, s159)), introduced(assumption)).
% 5.21/4.06 tff(18576,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s159) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s159)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s159)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18577,plain,
% 5.21/4.06 (((~trans(s299, s159)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s159)) <=> (until2p7(s159) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s159)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18578,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s159)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s159) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s159))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18577])).
% 5.21/4.06 tff(18579,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s159)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s159))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s159)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18578, 18576])).
% 5.21/4.06 tff(18580,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s159)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s159))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18581,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s159) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s159))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18580, 18579])).
% 5.21/4.06 tff(18582,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18581, 12455, 18575, 12541, 18574, 15747])).
% 5.21/4.06 tff(18583,plain,((~trans(s299, s159)) | until2p7(s159) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18584,plain,
% 5.21/4.06 (~trans(s299, s159)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18583, 14290, 12444])).
% 5.21/4.06 tff(18585,assumption,(~until2p7(s77)), introduced(assumption)).
% 5.21/4.06 tff(18586,assumption,(trans(s299, s77)), introduced(assumption)).
% 5.21/4.06 tff(18587,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s77)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s77)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18588,plain,
% 5.21/4.06 (((~trans(s299, s77)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s77)) <=> (until2p7(s77) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s77)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18589,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s77)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s77) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s77))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18588])).
% 5.21/4.06 tff(18590,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s77)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s77))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s77)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18589, 18587])).
% 5.21/4.06 tff(18591,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s77)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s77))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18592,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s77) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s77))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18591, 18590])).
% 5.21/4.06 tff(18593,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18592, 12455, 18586, 12541, 18585, 15747])).
% 5.21/4.06 tff(18594,plain,((~trans(s299, s77)) | until2p7(s77) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18595,plain,
% 5.21/4.06 (~trans(s299, s77)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18594, 15251, 12444])).
% 5.21/4.06 tff(18596,assumption,(~until2p7(s151)), introduced(assumption)).
% 5.21/4.06 tff(18597,assumption,(trans(s299, s151)), introduced(assumption)).
% 5.21/4.06 tff(18598,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s151) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s151)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s151)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18599,plain,
% 5.21/4.06 (((~trans(s299, s151)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s151)) <=> (until2p7(s151) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s151)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18600,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s151)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s151) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s151))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18599])).
% 5.21/4.06 tff(18601,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s151)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s151))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s151)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18600, 18598])).
% 5.21/4.06 tff(18602,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s151)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s151))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18603,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s151) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s151))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18602, 18601])).
% 5.21/4.06 tff(18604,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18603, 12455, 18597, 12541, 18596, 15747])).
% 5.21/4.06 tff(18605,plain,((~trans(s299, s151)) | until2p7(s151) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18606,plain,
% 5.21/4.06 (~trans(s299, s151)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18605, 14370, 12444])).
% 5.21/4.06 tff(18607,assumption,(~until2p7(s158)), introduced(assumption)).
% 5.21/4.06 tff(18608,assumption,(trans(s299, s158)), introduced(assumption)).
% 5.21/4.06 tff(18609,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s158) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s158)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s158)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18610,plain,
% 5.21/4.06 (((~trans(s299, s158)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s158)) <=> (until2p7(s158) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s158)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18611,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s158)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s158) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s158))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18610])).
% 5.21/4.06 tff(18612,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s158)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s158))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s158)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18611, 18609])).
% 5.21/4.06 tff(18613,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s158)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s158))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18614,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s158) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s158))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18613, 18612])).
% 5.21/4.06 tff(18615,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18614, 12455, 18608, 12541, 18607, 15747])).
% 5.21/4.06 tff(18616,plain,((~trans(s299, s158)) | until2p7(s158) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18617,plain,
% 5.21/4.06 (~trans(s299, s158)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18616, 14300, 12444])).
% 5.21/4.06 tff(18618,assumption,(~until2p7(s165)), introduced(assumption)).
% 5.21/4.06 tff(18619,assumption,(trans(s299, s165)), introduced(assumption)).
% 5.21/4.06 tff(18620,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s165) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s165)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s165)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18621,plain,
% 5.21/4.06 (((~trans(s299, s165)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s165)) <=> (until2p7(s165) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s165)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18622,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s165)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s165) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s165))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18621])).
% 5.21/4.06 tff(18623,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s165)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s165))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s165)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18622, 18620])).
% 5.21/4.06 tff(18624,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s165)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s165))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18625,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s165) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s165))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18624, 18623])).
% 5.21/4.06 tff(18626,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18625, 12455, 18619, 12541, 18618, 15747])).
% 5.21/4.06 tff(18627,plain,((~trans(s299, s165)) | until2p7(s165) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18628,plain,
% 5.21/4.06 (~trans(s299, s165)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18627, 14230, 12444])).
% 5.21/4.06 tff(18629,assumption,(~until2p7(s20)), introduced(assumption)).
% 5.21/4.06 tff(18630,assumption,(trans(s299, s20)), introduced(assumption)).
% 5.21/4.06 tff(18631,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s20)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s20)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18632,plain,
% 5.21/4.06 (((~trans(s299, s20)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s20)) <=> (until2p7(s20) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s20)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18633,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s20)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s20) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s20))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18632])).
% 5.21/4.06 tff(18634,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s20)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s20))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s20)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18633, 18631])).
% 5.21/4.06 tff(18635,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s20)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s20))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18636,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s20) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s20))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18635, 18634])).
% 5.21/4.06 tff(18637,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18636, 12455, 18630, 12541, 18629, 15747])).
% 5.21/4.06 tff(18638,plain,((~trans(s299, s20)) | until2p7(s20) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18639,plain,
% 5.21/4.06 (~trans(s299, s20)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18638, 16078, 12444])).
% 5.21/4.06 tff(18640,assumption,(~until2p7(s29)), introduced(assumption)).
% 5.21/4.06 tff(18641,assumption,(trans(s299, s29)), introduced(assumption)).
% 5.21/4.06 tff(18642,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s29)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s29)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18643,plain,
% 5.21/4.06 (((~trans(s299, s29)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s29)) <=> (until2p7(s29) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s29)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18644,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s29)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s29) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s29))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18643])).
% 5.21/4.06 tff(18645,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s29)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s29))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s29)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18644, 18642])).
% 5.21/4.06 tff(18646,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s29)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s29))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18647,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s29) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s29))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18646, 18645])).
% 5.21/4.06 tff(18648,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18647, 12455, 18641, 12541, 18640, 15747])).
% 5.21/4.06 tff(18649,plain,((~trans(s299, s29)) | until2p7(s29) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18650,plain,
% 5.21/4.06 (~trans(s299, s29)),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18649, 15970, 12444])).
% 5.21/4.06 tff(18651,assumption,(~until2p7(s129)), introduced(assumption)).
% 5.21/4.06 tff(18652,assumption,(trans(s299, s129)), introduced(assumption)).
% 5.21/4.06 tff(18653,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s129) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s129)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s129)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18654,plain,
% 5.21/4.06 (((~trans(s299, s129)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s129)) <=> (until2p7(s129) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s129)))),
% 5.21/4.06 inference(rewrite,[status(thm)],[])).
% 5.21/4.06 tff(18655,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s129)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s129) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s129))))),
% 5.21/4.06 inference(monotonicity,[status(thm)],[18654])).
% 5.21/4.06 tff(18656,plain,
% 5.21/4.06 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s129)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s129))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s129)))),
% 5.21/4.06 inference(transitivity,[status(thm)],[18655, 18653])).
% 5.21/4.06 tff(18657,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s129)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s129))),
% 5.21/4.06 inference(quant_inst,[status(thm)],[])).
% 5.21/4.06 tff(18658,plain,
% 5.21/4.06 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s129) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s129))),
% 5.21/4.06 inference(modus_ponens,[status(thm)],[18657, 18656])).
% 5.21/4.06 tff(18659,plain,
% 5.21/4.06 ($false),
% 5.21/4.06 inference(unit_resolution,[status(thm)],[18658, 12455, 18652, 12541, 18651, 15747])).
% 5.21/4.06 tff(18660,plain,((~trans(s299, s129)) | until2p7(s129) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.06 tff(18661,plain,
% 5.21/4.06 (~trans(s299, s129)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18660, 14590, 12444])).
% 5.21/4.07 tff(18662,assumption,(~until2p7(s122)), introduced(assumption)).
% 5.21/4.07 tff(18663,assumption,(trans(s299, s122)), introduced(assumption)).
% 5.21/4.07 tff(18664,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s122) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s122)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s122)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18665,plain,
% 5.21/4.07 (((~trans(s299, s122)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s122)) <=> (until2p7(s122) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s122)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18666,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s122)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s122) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s122))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18665])).
% 5.21/4.07 tff(18667,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s122)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s122))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s122)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18666, 18664])).
% 5.21/4.07 tff(18668,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s122)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s122))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18669,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s122) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s122))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18668, 18667])).
% 5.21/4.07 tff(18670,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18669, 12455, 18663, 12541, 18662, 15747])).
% 5.21/4.07 tff(18671,plain,((~trans(s299, s122)) | until2p7(s122) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18672,plain,
% 5.21/4.07 (~trans(s299, s122)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18671, 14660, 12444])).
% 5.21/4.07 tff(18673,assumption,(~until2p7(s3)), introduced(assumption)).
% 5.21/4.07 tff(18674,assumption,(trans(s299, s3)), introduced(assumption)).
% 5.21/4.07 tff(18675,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s3)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s3)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18676,plain,
% 5.21/4.07 (((~trans(s299, s3)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s3)) <=> (until2p7(s3) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s3)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18677,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s3)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s3) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s3))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18676])).
% 5.21/4.07 tff(18678,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s3)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s3))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s3)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18677, 18675])).
% 5.21/4.07 tff(18679,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s3)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s3))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18680,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s3) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s3))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18679, 18678])).
% 5.21/4.07 tff(18681,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18680, 12455, 18674, 12541, 18673, 15747])).
% 5.21/4.07 tff(18682,plain,((~trans(s299, s3)) | until2p7(s3) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18683,plain,
% 5.21/4.07 (~trans(s299, s3)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18682, 16381, 12444])).
% 5.21/4.07 tff(18684,assumption,(~until2p7(s62)), introduced(assumption)).
% 5.21/4.07 tff(18685,assumption,(trans(s299, s62)), introduced(assumption)).
% 5.21/4.07 tff(18686,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s62)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s62)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18687,plain,
% 5.21/4.07 (((~trans(s299, s62)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s62)) <=> (until2p7(s62) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s62)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18688,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s62)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s62) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s62))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18687])).
% 5.21/4.07 tff(18689,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s62)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s62))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s62)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18688, 18686])).
% 5.21/4.07 tff(18690,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s62)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s62))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18691,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s62) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s62))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18690, 18689])).
% 5.21/4.07 tff(18692,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18691, 12455, 18685, 12541, 18684, 15747])).
% 5.21/4.07 tff(18693,plain,((~trans(s299, s62)) | until2p7(s62) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18694,plain,
% 5.21/4.07 (~trans(s299, s62)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18693, 15499, 12444])).
% 5.21/4.07 tff(18695,assumption,(~until2p7(s190)), introduced(assumption)).
% 5.21/4.07 tff(18696,assumption,(trans(s299, s190)), introduced(assumption)).
% 5.21/4.07 tff(18697,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s190) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s190)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s190)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18698,plain,
% 5.21/4.07 (((~trans(s299, s190)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s190)) <=> (until2p7(s190) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s190)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18699,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s190)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s190) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s190))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18698])).
% 5.21/4.07 tff(18700,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s190)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s190))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s190)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18699, 18697])).
% 5.21/4.07 tff(18701,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s190)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s190))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18702,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s190) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s190))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18701, 18700])).
% 5.21/4.07 tff(18703,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18702, 12455, 18696, 12541, 18695, 15747])).
% 5.21/4.07 tff(18704,plain,((~trans(s299, s190)) | until2p7(s190) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18705,plain,
% 5.21/4.07 (~trans(s299, s190)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18704, 12444, 13975])).
% 5.21/4.07 tff(18706,assumption,(~until2p7(s291)), introduced(assumption)).
% 5.21/4.07 tff(18707,assumption,(trans(s299, s291)), introduced(assumption)).
% 5.21/4.07 tff(18708,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s291) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s291)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s291)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18709,plain,
% 5.21/4.07 (((~trans(s299, s291)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s291)) <=> (until2p7(s291) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s291)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18710,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s291)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s291) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s291))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18709])).
% 5.21/4.07 tff(18711,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s291)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s291))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s291)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18710, 18708])).
% 5.21/4.07 tff(18712,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s291)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s291))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18713,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s291) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s291))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18712, 18711])).
% 5.21/4.07 tff(18714,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18713, 12455, 18707, 12541, 18706, 15747])).
% 5.21/4.07 tff(18715,plain,((~trans(s299, s291)) | until2p7(s291) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18716,plain,
% 5.21/4.07 (~trans(s299, s291)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18715, 12444, 12581])).
% 5.21/4.07 tff(18717,assumption,(~until2p7(s157)), introduced(assumption)).
% 5.21/4.07 tff(18718,assumption,(trans(s299, s157)), introduced(assumption)).
% 5.21/4.07 tff(18719,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s157) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s157)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s157)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18720,plain,
% 5.21/4.07 (((~trans(s299, s157)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s157)) <=> (until2p7(s157) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s157)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18721,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s157)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s157) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s157))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18720])).
% 5.21/4.07 tff(18722,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s157)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s157))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s157)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18721, 18719])).
% 5.21/4.07 tff(18723,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s157)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s157))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18724,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s157) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s157))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18723, 18722])).
% 5.21/4.07 tff(18725,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18724, 12455, 18718, 12541, 18717, 15747])).
% 5.21/4.07 tff(18726,plain,((~trans(s299, s157)) | until2p7(s157) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18727,plain,
% 5.21/4.07 (~trans(s299, s157)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18726, 14310, 12444])).
% 5.21/4.07 tff(18728,assumption,(~until2p7(s241)), introduced(assumption)).
% 5.21/4.07 tff(18729,assumption,(trans(s299, s241)), introduced(assumption)).
% 5.21/4.07 tff(18730,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s241) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s241)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s241)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18731,plain,
% 5.21/4.07 (((~trans(s299, s241)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s241)) <=> (until2p7(s241) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s241)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18732,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s241)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s241) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s241))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18731])).
% 5.21/4.07 tff(18733,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s241)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s241))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s241)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18732, 18730])).
% 5.21/4.07 tff(18734,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s241)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s241))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18735,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s241) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s241))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18734, 18733])).
% 5.21/4.07 tff(18736,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18735, 12455, 18729, 12541, 18728, 15747])).
% 5.21/4.07 tff(18737,plain,((~trans(s299, s241)) | until2p7(s241) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18738,plain,
% 5.21/4.07 (~trans(s299, s241)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18737, 12444, 13183])).
% 5.21/4.07 tff(18739,assumption,(~until2p7(s84)), introduced(assumption)).
% 5.21/4.07 tff(18740,assumption,(trans(s299, s84)), introduced(assumption)).
% 5.21/4.07 tff(18741,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s84)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s84)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18742,plain,
% 5.21/4.07 (((~trans(s299, s84)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s84)) <=> (until2p7(s84) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s84)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18743,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s84)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s84) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s84))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18742])).
% 5.21/4.07 tff(18744,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s84)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s84))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s84)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18743, 18741])).
% 5.21/4.07 tff(18745,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s84)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s84))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18746,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s84) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s84))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18745, 18744])).
% 5.21/4.07 tff(18747,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18746, 12455, 18740, 12541, 18739, 15747])).
% 5.21/4.07 tff(18748,plain,((~trans(s299, s84)) | until2p7(s84) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18749,plain,
% 5.21/4.07 (~trans(s299, s84)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18748, 15099, 12444])).
% 5.21/4.07 tff(18750,assumption,(~until2p7(s14)), introduced(assumption)).
% 5.21/4.07 tff(18751,assumption,(trans(s299, s14)), introduced(assumption)).
% 5.21/4.07 tff(18752,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s14)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s14)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18753,plain,
% 5.21/4.07 (((~trans(s299, s14)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s14)) <=> (until2p7(s14) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s14)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18754,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s14)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s14) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s14))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18753])).
% 5.21/4.07 tff(18755,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s14)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s14))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s14)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18754, 18752])).
% 5.21/4.07 tff(18756,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s14)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s14))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18757,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s14) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s14))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18756, 18755])).
% 5.21/4.07 tff(18758,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18757, 12455, 18751, 12541, 18750, 15747])).
% 5.21/4.07 tff(18759,plain,((~trans(s299, s14)) | until2p7(s14) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18760,plain,
% 5.21/4.07 (~trans(s299, s14)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18759, 16249, 12444])).
% 5.21/4.07 tff(18761,assumption,(~until2p7(s221)), introduced(assumption)).
% 5.21/4.07 tff(18762,assumption,(trans(s299, s221)), introduced(assumption)).
% 5.21/4.07 tff(18763,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s221) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s221)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s221)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18764,plain,
% 5.21/4.07 (((~trans(s299, s221)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s221)) <=> (until2p7(s221) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s221)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18765,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s221)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s221) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s221))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18764])).
% 5.21/4.07 tff(18766,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s221)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s221))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s221)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18765, 18763])).
% 5.21/4.07 tff(18767,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s221)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s221))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18768,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s221) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s221))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18767, 18766])).
% 5.21/4.07 tff(18769,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18768, 12455, 18762, 12541, 18761, 15747])).
% 5.21/4.07 tff(18770,plain,((~trans(s299, s221)) | until2p7(s221) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18771,plain,
% 5.21/4.07 (~trans(s299, s221)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18770, 12444, 13499])).
% 5.21/4.07 tff(18772,assumption,(~until2p7(s244)), introduced(assumption)).
% 5.21/4.07 tff(18773,assumption,(trans(s299, s244)), introduced(assumption)).
% 5.21/4.07 tff(18774,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s244) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s244)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s244)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18775,plain,
% 5.21/4.07 (((~trans(s299, s244)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s244)) <=> (until2p7(s244) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s244)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18776,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s244)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s244) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s244))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18775])).
% 5.21/4.07 tff(18777,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s244)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s244))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s244)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18776, 18774])).
% 5.21/4.07 tff(18778,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s244)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s244))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18779,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s244) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s244))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18778, 18777])).
% 5.21/4.07 tff(18780,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18779, 12455, 18773, 12541, 18772, 15747])).
% 5.21/4.07 tff(18781,plain,((~trans(s299, s244)) | until2p7(s244) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18782,plain,
% 5.21/4.07 (~trans(s299, s244)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18781, 12444, 13153])).
% 5.21/4.07 tff(18783,assumption,(~until2p7(s180)), introduced(assumption)).
% 5.21/4.07 tff(18784,assumption,(trans(s299, s180)), introduced(assumption)).
% 5.21/4.07 tff(18785,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s180) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s180)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s180)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18786,plain,
% 5.21/4.07 (((~trans(s299, s180)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s180)) <=> (until2p7(s180) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s180)))),
% 5.21/4.07 inference(rewrite,[status(thm)],[])).
% 5.21/4.07 tff(18787,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s180)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s180) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s180))))),
% 5.21/4.07 inference(monotonicity,[status(thm)],[18786])).
% 5.21/4.07 tff(18788,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s180)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s180))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s180)))),
% 5.21/4.07 inference(transitivity,[status(thm)],[18787, 18785])).
% 5.21/4.07 tff(18789,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s180)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s180))),
% 5.21/4.07 inference(quant_inst,[status(thm)],[])).
% 5.21/4.07 tff(18790,plain,
% 5.21/4.07 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s180) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s180))),
% 5.21/4.07 inference(modus_ponens,[status(thm)],[18789, 18788])).
% 5.21/4.07 tff(18791,plain,
% 5.21/4.07 ($false),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18790, 12455, 18784, 12541, 18783, 15747])).
% 5.21/4.07 tff(18792,plain,((~trans(s299, s180)) | until2p7(s180) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.21/4.07 tff(18793,plain,
% 5.21/4.07 (~trans(s299, s180)),
% 5.21/4.07 inference(unit_resolution,[status(thm)],[18792, 12444, 14080])).
% 5.21/4.07 tff(18794,assumption,(~until2p7(s107)), introduced(assumption)).
% 5.21/4.07 tff(18795,assumption,(trans(s299, s107)), introduced(assumption)).
% 5.21/4.07 tff(18796,plain,
% 5.21/4.07 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s107) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s107)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s107)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18797,plain,
% 5.31/4.08 (((~trans(s299, s107)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s107)) <=> (until2p7(s107) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s107)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18798,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s107)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s107) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s107))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18797])).
% 5.31/4.08 tff(18799,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s107)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s107))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s107)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18798, 18796])).
% 5.31/4.08 tff(18800,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s107)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s107))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18801,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s107) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s107))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18800, 18799])).
% 5.31/4.08 tff(18802,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18801, 12455, 18795, 12541, 18794, 15747])).
% 5.31/4.08 tff(18803,plain,((~trans(s299, s107)) | until2p7(s107) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18804,plain,
% 5.31/4.08 (~trans(s299, s107)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18803, 14810, 12444])).
% 5.31/4.08 tff(18805,assumption,(~until2p7(s146)), introduced(assumption)).
% 5.31/4.08 tff(18806,assumption,(trans(s299, s146)), introduced(assumption)).
% 5.31/4.08 tff(18807,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s146) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s146)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s146)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18808,plain,
% 5.31/4.08 (((~trans(s299, s146)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s146)) <=> (until2p7(s146) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s146)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18809,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s146)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s146) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s146))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18808])).
% 5.31/4.08 tff(18810,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s146)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s146))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s146)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18809, 18807])).
% 5.31/4.08 tff(18811,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s146)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s146))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18812,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s146) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s146))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 5.31/4.08 tff(18813,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18812, 12455, 18806, 12541, 18805, 15747])).
% 5.31/4.08 tff(18814,plain,((~trans(s299, s146)) | until2p7(s146) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18815,plain,
% 5.31/4.08 (~trans(s299, s146)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18814, 14420, 12444])).
% 5.31/4.08 tff(18816,assumption,(~until2p7(s249)), introduced(assumption)).
% 5.31/4.08 tff(18817,assumption,(trans(s299, s249)), introduced(assumption)).
% 5.31/4.08 tff(18818,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s249) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s249)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s249)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18819,plain,
% 5.31/4.08 (((~trans(s299, s249)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s249)) <=> (until2p7(s249) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s249)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18820,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s249)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s249) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s249))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18819])).
% 5.31/4.08 tff(18821,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s249)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s249))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s249)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18820, 18818])).
% 5.31/4.08 tff(18822,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s249)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s249))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18823,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s249) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s249))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18822, 18821])).
% 5.31/4.08 tff(18824,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18823, 12455, 18817, 12541, 18816, 15747])).
% 5.31/4.08 tff(18825,plain,((~trans(s299, s249)) | until2p7(s249) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18826,plain,
% 5.31/4.08 (~trans(s299, s249)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18825, 12444, 13103])).
% 5.31/4.08 tff(18827,assumption,(~until2p7(s36)), introduced(assumption)).
% 5.31/4.08 tff(18828,assumption,(trans(s299, s36)), introduced(assumption)).
% 5.31/4.08 tff(18829,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s36)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s36)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18830,plain,
% 5.31/4.08 (((~trans(s299, s36)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s36)) <=> (until2p7(s36) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s36)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18831,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s36)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s36) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s36))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18830])).
% 5.31/4.08 tff(18832,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s36)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s36))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s36)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18831, 18829])).
% 5.31/4.08 tff(18833,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s36)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s36))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18834,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s36) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s36))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18833, 18832])).
% 5.31/4.08 tff(18835,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18834, 12455, 18828, 12541, 18827, 15747])).
% 5.31/4.08 tff(18836,plain,((~trans(s299, s36)) | until2p7(s36) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18837,plain,
% 5.31/4.08 (~trans(s299, s36)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18836, 15887, 12444])).
% 5.31/4.08 tff(18838,assumption,(~until2p7(s101)), introduced(assumption)).
% 5.31/4.08 tff(18839,assumption,(trans(s299, s101)), introduced(assumption)).
% 5.31/4.08 tff(18840,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s101) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s101)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s101)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18841,plain,
% 5.31/4.08 (((~trans(s299, s101)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s101)) <=> (until2p7(s101) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s101)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18842,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s101)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s101) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s101))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18841])).
% 5.31/4.08 tff(18843,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s101)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s101))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s101)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18842, 18840])).
% 5.31/4.08 tff(18844,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s101)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s101))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18845,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s101) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s101))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18844, 18843])).
% 5.31/4.08 tff(18846,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18845, 12455, 18839, 12541, 18838, 15747])).
% 5.31/4.08 tff(18847,plain,((~trans(s299, s101)) | until2p7(s101) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18848,plain,
% 5.31/4.08 (~trans(s299, s101)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18847, 14880, 12444])).
% 5.31/4.08 tff(18849,assumption,(~until2p7(s237)), introduced(assumption)).
% 5.31/4.08 tff(18850,assumption,(trans(s299, s237)), introduced(assumption)).
% 5.31/4.08 tff(18851,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s237) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s237)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s237)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18852,plain,
% 5.31/4.08 (((~trans(s299, s237)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s237)) <=> (until2p7(s237) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s237)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18853,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s237)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s237) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s237))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18852])).
% 5.31/4.08 tff(18854,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s237)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s237))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s237)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18853, 18851])).
% 5.31/4.08 tff(18855,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s237)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s237))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18856,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s237) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s237))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18855, 18854])).
% 5.31/4.08 tff(18857,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18856, 12455, 18850, 12541, 18849, 15747])).
% 5.31/4.08 tff(18858,plain,((~trans(s299, s237)) | until2p7(s237) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18859,plain,
% 5.31/4.08 (~trans(s299, s237)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18858, 12444, 13223])).
% 5.31/4.08 tff(18860,assumption,(~until2p7(s239)), introduced(assumption)).
% 5.31/4.08 tff(18861,assumption,(trans(s299, s239)), introduced(assumption)).
% 5.31/4.08 tff(18862,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s239) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s239)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s239)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18863,plain,
% 5.31/4.08 (((~trans(s299, s239)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s239)) <=> (until2p7(s239) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s239)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18864,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s239)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s239) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s239))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18863])).
% 5.31/4.08 tff(18865,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s239)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s239))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s239)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18864, 18862])).
% 5.31/4.08 tff(18866,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s239)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s239))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18867,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s239) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s239))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18866, 18865])).
% 5.31/4.08 tff(18868,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18867, 12455, 18861, 12541, 18860, 15747])).
% 5.31/4.08 tff(18869,plain,((~trans(s299, s239)) | until2p7(s239) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18870,plain,
% 5.31/4.08 (~trans(s299, s239)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18869, 12444, 13203])).
% 5.31/4.08 tff(18871,assumption,(~until2p7(s177)), introduced(assumption)).
% 5.31/4.08 tff(18872,assumption,(trans(s299, s177)), introduced(assumption)).
% 5.31/4.08 tff(18873,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s177) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s177)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s177)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18874,plain,
% 5.31/4.08 (((~trans(s299, s177)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s177)) <=> (until2p7(s177) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s177)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18875,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s177)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s177) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s177))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18874])).
% 5.31/4.08 tff(18876,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s177)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s177))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s177)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18875, 18873])).
% 5.31/4.08 tff(18877,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s177)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s177))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18878,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s177) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s177))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18877, 18876])).
% 5.31/4.08 tff(18879,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18878, 12455, 18872, 12541, 18871, 15747])).
% 5.31/4.08 tff(18880,plain,((~trans(s299, s177)) | until2p7(s177) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18881,plain,
% 5.31/4.08 (~trans(s299, s177)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18880, 12444, 14110])).
% 5.31/4.08 tff(18882,assumption,(~until2p7(s183)), introduced(assumption)).
% 5.31/4.08 tff(18883,assumption,(trans(s299, s183)), introduced(assumption)).
% 5.31/4.08 tff(18884,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s183) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s183)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s183)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18885,plain,
% 5.31/4.08 (((~trans(s299, s183)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s183)) <=> (until2p7(s183) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s183)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18886,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s183)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s183) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s183))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18885])).
% 5.31/4.08 tff(18887,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s183)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s183))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s183)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18886, 18884])).
% 5.31/4.08 tff(18888,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s183)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s183))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18889,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s183) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s183))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18888, 18887])).
% 5.31/4.08 tff(18890,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18889, 12455, 18883, 12541, 18882, 15747])).
% 5.31/4.08 tff(18891,plain,((~trans(s299, s183)) | until2p7(s183) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18892,plain,
% 5.31/4.08 (~trans(s299, s183)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18891, 12444, 14050])).
% 5.31/4.08 tff(18893,assumption,(~until2p7(s292)), introduced(assumption)).
% 5.31/4.08 tff(18894,assumption,(trans(s299, s292)), introduced(assumption)).
% 5.31/4.08 tff(18895,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s292) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s292)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s292)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18896,plain,
% 5.31/4.08 (((~trans(s299, s292)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s292)) <=> (until2p7(s292) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s292)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18897,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s292)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s292) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s292))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18896])).
% 5.31/4.08 tff(18898,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s292)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s292))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s292)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18897, 18895])).
% 5.31/4.08 tff(18899,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s292)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s292))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18900,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s292) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s292))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18899, 18898])).
% 5.31/4.08 tff(18901,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18900, 12455, 18894, 12541, 18893, 15747])).
% 5.31/4.08 tff(18902,plain,((~trans(s299, s292)) | until2p7(s292) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18903,plain,
% 5.31/4.08 (~trans(s299, s292)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18902, 12444, 12571])).
% 5.31/4.08 tff(18904,assumption,(~until2p7(s285)), introduced(assumption)).
% 5.31/4.08 tff(18905,assumption,(trans(s299, s285)), introduced(assumption)).
% 5.31/4.08 tff(18906,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s285) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s285)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s285)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18907,plain,
% 5.31/4.08 (((~trans(s299, s285)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s285)) <=> (until2p7(s285) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s285)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18908,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s285)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s285) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s285))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18907])).
% 5.31/4.08 tff(18909,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s285)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s285))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s285)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18908, 18906])).
% 5.31/4.08 tff(18910,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s285)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s285))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18911,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s285) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s285))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18910, 18909])).
% 5.31/4.08 tff(18912,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18911, 12455, 18905, 12541, 18904, 15747])).
% 5.31/4.08 tff(18913,plain,((~trans(s299, s285)) | until2p7(s285) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18914,plain,
% 5.31/4.08 (~trans(s299, s285)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18913, 12444, 12680])).
% 5.31/4.08 tff(18915,assumption,(~until2p7(s207)), introduced(assumption)).
% 5.31/4.08 tff(18916,assumption,(trans(s299, s207)), introduced(assumption)).
% 5.31/4.08 tff(18917,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s207) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s207)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s207)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18918,plain,
% 5.31/4.08 (((~trans(s299, s207)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s207)) <=> (until2p7(s207) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s207)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18919,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s207)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s207) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s207))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18918])).
% 5.31/4.08 tff(18920,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s207)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s207))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s207)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18919, 18917])).
% 5.31/4.08 tff(18921,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s207)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s207))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18922,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s207) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s207))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18921, 18920])).
% 5.31/4.08 tff(18923,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18922, 12455, 18916, 12541, 18915, 15747])).
% 5.31/4.08 tff(18924,plain,((~trans(s299, s207)) | until2p7(s207) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18925,plain,
% 5.31/4.08 (~trans(s299, s207)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18924, 12444, 13721])).
% 5.31/4.08 tff(18926,assumption,(~until2p7(s296)), introduced(assumption)).
% 5.31/4.08 tff(18927,assumption,(trans(s299, s296)), introduced(assumption)).
% 5.31/4.08 tff(18928,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s296) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s296)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s296)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18929,plain,
% 5.31/4.08 (((~trans(s299, s296)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s296)) <=> (until2p7(s296) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s296)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18930,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s296)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s296) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s296))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18929])).
% 5.31/4.08 tff(18931,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s296)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s296))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s296)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18930, 18928])).
% 5.31/4.08 tff(18932,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s296)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s296))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18933,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s296) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s296))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18932, 18931])).
% 5.31/4.08 tff(18934,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18933, 12455, 18927, 12541, 18926, 15747])).
% 5.31/4.08 tff(18935,plain,((~trans(s299, s296)) | until2p7(s296) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18936,plain,
% 5.31/4.08 (~trans(s299, s296)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18935, 12444, 12521])).
% 5.31/4.08 tff(18937,assumption,(~until2p7(s162)), introduced(assumption)).
% 5.31/4.08 tff(18938,assumption,(trans(s299, s162)), introduced(assumption)).
% 5.31/4.08 tff(18939,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s162) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s162)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s162)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18940,plain,
% 5.31/4.08 (((~trans(s299, s162)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s162)) <=> (until2p7(s162) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s162)))),
% 5.31/4.08 inference(rewrite,[status(thm)],[])).
% 5.31/4.08 tff(18941,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s162)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s162) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s162))))),
% 5.31/4.08 inference(monotonicity,[status(thm)],[18940])).
% 5.31/4.08 tff(18942,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s162)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s162))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s162)))),
% 5.31/4.08 inference(transitivity,[status(thm)],[18941, 18939])).
% 5.31/4.08 tff(18943,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s162)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s162))),
% 5.31/4.08 inference(quant_inst,[status(thm)],[])).
% 5.31/4.08 tff(18944,plain,
% 5.31/4.08 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s162) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s162))),
% 5.31/4.08 inference(modus_ponens,[status(thm)],[18943, 18942])).
% 5.31/4.08 tff(18945,plain,
% 5.31/4.08 ($false),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18944, 12455, 18938, 12541, 18937, 15747])).
% 5.31/4.08 tff(18946,plain,((~trans(s299, s162)) | until2p7(s162) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.08 tff(18947,plain,
% 5.31/4.08 (~trans(s299, s162)),
% 5.31/4.08 inference(unit_resolution,[status(thm)],[18946, 14260, 12444])).
% 5.31/4.08 tff(18948,assumption,(~until2p7(s211)), introduced(assumption)).
% 5.31/4.08 tff(18949,assumption,(trans(s299, s211)), introduced(assumption)).
% 5.31/4.08 tff(18950,plain,
% 5.31/4.08 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s211) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s211)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s211)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18951,plain,
% 5.31/4.09 (((~trans(s299, s211)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s211)) <=> (until2p7(s211) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s211)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18952,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s211)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s211) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s211))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[18951])).
% 5.31/4.09 tff(18953,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s211)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s211))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s211)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[18952, 18950])).
% 5.31/4.09 tff(18954,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s211)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s211))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(18955,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s211) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s211))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[18954, 18953])).
% 5.31/4.09 tff(18956,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18955, 12455, 18949, 12541, 18948, 15747])).
% 5.31/4.09 tff(18957,plain,((~trans(s299, s211)) | until2p7(s211) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(18958,plain,
% 5.31/4.09 (~trans(s299, s211)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18957, 12444, 13643])).
% 5.31/4.09 tff(18959,assumption,(~until2p7(s265)), introduced(assumption)).
% 5.31/4.09 tff(18960,assumption,(trans(s299, s265)), introduced(assumption)).
% 5.31/4.09 tff(18961,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s265) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s265)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s265)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18962,plain,
% 5.31/4.09 (((~trans(s299, s265)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s265)) <=> (until2p7(s265) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s265)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18963,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s265)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s265) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s265))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[18962])).
% 5.31/4.09 tff(18964,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s265)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s265))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s265)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[18963, 18961])).
% 5.31/4.09 tff(18965,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s265)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s265))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(18966,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s265) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s265))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[18965, 18964])).
% 5.31/4.09 tff(18967,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18966, 12455, 18960, 12541, 18959, 15747])).
% 5.31/4.09 tff(18968,plain,((~trans(s299, s265)) | until2p7(s265) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(18969,plain,
% 5.31/4.09 (~trans(s299, s265)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18968, 12444, 12899])).
% 5.31/4.09 tff(18970,assumption,(~until2p7(s182)), introduced(assumption)).
% 5.31/4.09 tff(18971,assumption,(trans(s299, s182)), introduced(assumption)).
% 5.31/4.09 tff(18972,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s182) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s182)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s182)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18973,plain,
% 5.31/4.09 (((~trans(s299, s182)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s182)) <=> (until2p7(s182) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s182)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18974,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s182)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s182) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s182))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[18973])).
% 5.31/4.09 tff(18975,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s182)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s182))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s182)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[18974, 18972])).
% 5.31/4.09 tff(18976,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s182)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s182))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(18977,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s182) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s182))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[18976, 18975])).
% 5.31/4.09 tff(18978,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18977, 12455, 18971, 12541, 18970, 15747])).
% 5.31/4.09 tff(18979,plain,((~trans(s299, s182)) | until2p7(s182) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(18980,plain,
% 5.31/4.09 (~trans(s299, s182)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18979, 12444, 14060])).
% 5.31/4.09 tff(18981,assumption,(~until2p7(s31)), introduced(assumption)).
% 5.31/4.09 tff(18982,assumption,(trans(s299, s31)), introduced(assumption)).
% 5.31/4.09 tff(18983,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s31)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s31)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18984,plain,
% 5.31/4.09 (((~trans(s299, s31)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s31)) <=> (until2p7(s31) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s31)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18985,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s31)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s31) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s31))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[18984])).
% 5.31/4.09 tff(18986,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s31)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s31))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s31)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[18985, 18983])).
% 5.31/4.09 tff(18987,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s31)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s31))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(18988,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s31) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s31))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 5.31/4.09 tff(18989,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18988, 12455, 18982, 12541, 18981, 15747])).
% 5.31/4.09 tff(18990,plain,((~trans(s299, s31)) | until2p7(s31) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(18991,plain,
% 5.31/4.09 (~trans(s299, s31)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18990, 15946, 12444])).
% 5.31/4.09 tff(18992,assumption,(~until2p7(s51)), introduced(assumption)).
% 5.31/4.09 tff(18993,assumption,(trans(s299, s51)), introduced(assumption)).
% 5.31/4.09 tff(18994,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s51)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s51)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18995,plain,
% 5.31/4.09 (((~trans(s299, s51)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s51)) <=> (until2p7(s51) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s51)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(18996,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s51)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s51) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s51))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[18995])).
% 5.31/4.09 tff(18997,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s51)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s51))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s51)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[18996, 18994])).
% 5.31/4.09 tff(18998,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s51)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s51))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(18999,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s51) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s51))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[18998, 18997])).
% 5.31/4.09 tff(19000,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[18999, 12455, 18993, 12541, 18992, 15747])).
% 5.31/4.09 tff(19001,plain,((~trans(s299, s51)) | until2p7(s51) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(19002,plain,
% 5.31/4.09 (~trans(s299, s51)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19001, 15664, 12444])).
% 5.31/4.09 tff(19003,assumption,(~until2p7(s271)), introduced(assumption)).
% 5.31/4.09 tff(19004,assumption,(trans(s299, s271)), introduced(assumption)).
% 5.31/4.09 tff(19005,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s271) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s271)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s271)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19006,plain,
% 5.31/4.09 (((~trans(s299, s271)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s271)) <=> (until2p7(s271) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s271)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19007,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s271)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s271) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s271))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[19006])).
% 5.31/4.09 tff(19008,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s271)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s271))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s271)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[19007, 19005])).
% 5.31/4.09 tff(19009,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s271)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s271))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(19010,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s271) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s271))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[19009, 19008])).
% 5.31/4.09 tff(19011,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19010, 12455, 19004, 12541, 19003, 15747])).
% 5.31/4.09 tff(19012,plain,((~trans(s299, s271)) | until2p7(s271) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(19013,plain,
% 5.31/4.09 (~trans(s299, s271)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19012, 12444, 12833])).
% 5.31/4.09 tff(19014,assumption,(~until2p7(s43)), introduced(assumption)).
% 5.31/4.09 tff(19015,assumption,(trans(s299, s43)), introduced(assumption)).
% 5.31/4.09 tff(19016,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s43)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s43)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19017,plain,
% 5.31/4.09 (((~trans(s299, s43)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s43)) <=> (until2p7(s43) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s43)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19018,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s43)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s43) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s43))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[19017])).
% 5.31/4.09 tff(19019,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s43)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s43))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s43)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[19018, 19016])).
% 5.31/4.09 tff(19020,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s43)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s43))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(19021,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s43) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s43))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[19020, 19019])).
% 5.31/4.09 tff(19022,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19021, 12455, 19015, 12541, 19014, 15747])).
% 5.31/4.09 tff(19023,plain,((~trans(s299, s43)) | until2p7(s43) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(19024,plain,
% 5.31/4.09 (~trans(s299, s43)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19023, 15803, 12444])).
% 5.31/4.09 tff(19025,assumption,(~until2p7(s102)), introduced(assumption)).
% 5.31/4.09 tff(19026,assumption,(trans(s299, s102)), introduced(assumption)).
% 5.31/4.09 tff(19027,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s102) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s102)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s102)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19028,plain,
% 5.31/4.09 (((~trans(s299, s102)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s102)) <=> (until2p7(s102) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s102)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19029,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s102)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s102) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s102))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[19028])).
% 5.31/4.09 tff(19030,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s102)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s102))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s102)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[19029, 19027])).
% 5.31/4.09 tff(19031,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s102)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s102))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(19032,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s102) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s102))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 5.31/4.09 tff(19033,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19032, 12455, 19026, 12541, 19025, 15747])).
% 5.31/4.09 tff(19034,plain,((~trans(s299, s102)) | until2p7(s102) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(19035,plain,
% 5.31/4.09 (~trans(s299, s102)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19034, 14861, 12444])).
% 5.31/4.09 tff(19036,assumption,(~until2p7(s150)), introduced(assumption)).
% 5.31/4.09 tff(19037,assumption,(trans(s299, s150)), introduced(assumption)).
% 5.31/4.09 tff(19038,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s150) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s150)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s150)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19039,plain,
% 5.31/4.09 (((~trans(s299, s150)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s150)) <=> (until2p7(s150) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s150)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19040,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s150)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s150) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s150))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[19039])).
% 5.31/4.09 tff(19041,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s150)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s150))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s150)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[19040, 19038])).
% 5.31/4.09 tff(19042,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s150)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s150))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(19043,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s150) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s150))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[19042, 19041])).
% 5.31/4.09 tff(19044,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19043, 12455, 19037, 12541, 19036, 15747])).
% 5.31/4.09 tff(19045,plain,((~trans(s299, s150)) | until2p7(s150) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(19046,plain,
% 5.31/4.09 (~trans(s299, s150)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19045, 14380, 12444])).
% 5.31/4.09 tff(19047,assumption,(~until2p7(s290)), introduced(assumption)).
% 5.31/4.09 tff(19048,assumption,(trans(s299, s290)), introduced(assumption)).
% 5.31/4.09 tff(19049,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s290) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s290)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s290)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19050,plain,
% 5.31/4.09 (((~trans(s299, s290)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s290)) <=> (until2p7(s290) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s290)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19051,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s290)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s290) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s290))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[19050])).
% 5.31/4.09 tff(19052,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s290)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s290))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s290)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[19051, 19049])).
% 5.31/4.09 tff(19053,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s290)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s290))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(19054,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s290) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s290))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[19053, 19052])).
% 5.31/4.09 tff(19055,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19054, 12455, 19048, 12541, 19047, 15747])).
% 5.31/4.09 tff(19056,plain,((~trans(s299, s290)) | until2p7(s290) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(19057,plain,
% 5.31/4.09 (~trans(s299, s290)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19056, 12444, 12591])).
% 5.31/4.09 tff(19058,assumption,(~until2p7(s170)), introduced(assumption)).
% 5.31/4.09 tff(19059,assumption,(trans(s299, s170)), introduced(assumption)).
% 5.31/4.09 tff(19060,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s170) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s170)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s170)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19061,plain,
% 5.31/4.09 (((~trans(s299, s170)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s170)) <=> (until2p7(s170) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s170)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19062,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s170)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s170) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s170))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[19061])).
% 5.31/4.09 tff(19063,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s170)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s170))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s170)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[19062, 19060])).
% 5.31/4.09 tff(19064,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s170)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s170))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(19065,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s170) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s170))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[19064, 19063])).
% 5.31/4.09 tff(19066,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19065, 12455, 19059, 12541, 19058, 15747])).
% 5.31/4.09 tff(19067,plain,((~trans(s299, s170)) | until2p7(s170) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(19068,plain,
% 5.31/4.09 (~trans(s299, s170)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19067, 14180, 12444])).
% 5.31/4.09 tff(19069,assumption,(~until2p7(s297)), introduced(assumption)).
% 5.31/4.09 tff(19070,assumption,(trans(s299, s297)), introduced(assumption)).
% 5.31/4.09 tff(19071,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s297) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s297)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s297)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19072,plain,
% 5.31/4.09 (((~trans(s299, s297)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s297)) <=> (until2p7(s297) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s297)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19073,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s297)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s297) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s297))))),
% 5.31/4.09 inference(monotonicity,[status(thm)],[19072])).
% 5.31/4.09 tff(19074,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s297)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s297))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s297)))),
% 5.31/4.09 inference(transitivity,[status(thm)],[19073, 19071])).
% 5.31/4.09 tff(19075,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s297)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s297))),
% 5.31/4.09 inference(quant_inst,[status(thm)],[])).
% 5.31/4.09 tff(19076,plain,
% 5.31/4.09 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s297) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s297))),
% 5.31/4.09 inference(modus_ponens,[status(thm)],[19075, 19074])).
% 5.31/4.09 tff(19077,plain,
% 5.31/4.09 ($false),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19076, 12455, 19070, 12541, 19069, 15747])).
% 5.31/4.09 tff(19078,plain,((~trans(s299, s297)) | until2p7(s297) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.09 tff(19079,plain,
% 5.31/4.09 (~trans(s299, s297)),
% 5.31/4.09 inference(unit_resolution,[status(thm)],[19078, 12444, 12512])).
% 5.31/4.09 tff(19080,assumption,(~until2p7(s261)), introduced(assumption)).
% 5.31/4.09 tff(19081,assumption,(trans(s299, s261)), introduced(assumption)).
% 5.31/4.09 tff(19082,plain,
% 5.31/4.09 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s261) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s261)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s261)))),
% 5.31/4.09 inference(rewrite,[status(thm)],[])).
% 5.31/4.09 tff(19083,plain,
% 5.31/4.09 (((~trans(s299, s261)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s261)) <=> (until2p7(s261) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s261)))),
% 5.31/4.10 inference(rewrite,[status(thm)],[])).
% 5.31/4.10 tff(19084,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s261)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s261) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s261))))),
% 5.31/4.10 inference(monotonicity,[status(thm)],[19083])).
% 5.31/4.10 tff(19085,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s261)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s261))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s261)))),
% 5.31/4.10 inference(transitivity,[status(thm)],[19084, 19082])).
% 5.31/4.10 tff(19086,plain,
% 5.31/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s261)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s261))),
% 5.31/4.10 inference(quant_inst,[status(thm)],[])).
% 5.31/4.10 tff(19087,plain,
% 5.31/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s261) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s261))),
% 5.31/4.10 inference(modus_ponens,[status(thm)],[19086, 19085])).
% 5.31/4.10 tff(19088,plain,
% 5.31/4.10 ($false),
% 5.31/4.10 inference(unit_resolution,[status(thm)],[19087, 12455, 19081, 12541, 19080, 15747])).
% 5.31/4.10 tff(19089,plain,((~trans(s299, s261)) | until2p7(s261) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.10 tff(19090,plain,
% 5.31/4.10 (~trans(s299, s261)),
% 5.31/4.10 inference(unit_resolution,[status(thm)],[19089, 12444, 12943])).
% 5.31/4.10 tff(19091,assumption,(~until2p7(s235)), introduced(assumption)).
% 5.31/4.10 tff(19092,assumption,(trans(s299, s235)), introduced(assumption)).
% 5.31/4.10 tff(19093,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s235) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s235)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s235)))),
% 5.31/4.10 inference(rewrite,[status(thm)],[])).
% 5.31/4.10 tff(19094,plain,
% 5.31/4.10 (((~trans(s299, s235)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s235)) <=> (until2p7(s235) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s235)))),
% 5.31/4.10 inference(rewrite,[status(thm)],[])).
% 5.31/4.10 tff(19095,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s235)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s235) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s235))))),
% 5.31/4.10 inference(monotonicity,[status(thm)],[19094])).
% 5.31/4.10 tff(19096,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s235)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s235))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s235)))),
% 5.31/4.10 inference(transitivity,[status(thm)],[19095, 19093])).
% 5.31/4.10 tff(19097,plain,
% 5.31/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s235)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s235))),
% 5.31/4.10 inference(quant_inst,[status(thm)],[])).
% 5.31/4.10 tff(19098,plain,
% 5.31/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s235) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s235))),
% 5.31/4.10 inference(modus_ponens,[status(thm)],[19097, 19096])).
% 5.31/4.10 tff(19099,plain,
% 5.31/4.10 ($false),
% 5.31/4.10 inference(unit_resolution,[status(thm)],[19098, 12455, 19092, 12541, 19091, 15747])).
% 5.31/4.10 tff(19100,plain,((~trans(s299, s235)) | until2p7(s235) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.10 tff(19101,plain,
% 5.31/4.10 (~trans(s299, s235)),
% 5.31/4.10 inference(unit_resolution,[status(thm)],[19100, 12444, 13244])).
% 5.31/4.10 tff(19102,assumption,(~until2p7(s92)), introduced(assumption)).
% 5.31/4.10 tff(19103,assumption,(trans(s299, s92)), introduced(assumption)).
% 5.31/4.10 tff(19104,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s92)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s92)))),
% 5.31/4.10 inference(rewrite,[status(thm)],[])).
% 5.31/4.10 tff(19105,plain,
% 5.31/4.10 (((~trans(s299, s92)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s92)) <=> (until2p7(s92) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s92)))),
% 5.31/4.10 inference(rewrite,[status(thm)],[])).
% 5.31/4.10 tff(19106,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s92)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s92) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s92))))),
% 5.31/4.10 inference(monotonicity,[status(thm)],[19105])).
% 5.31/4.10 tff(19107,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s92)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s92))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s92)))),
% 5.31/4.10 inference(transitivity,[status(thm)],[19106, 19104])).
% 5.31/4.10 tff(19108,plain,
% 5.31/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s92)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s92))),
% 5.31/4.10 inference(quant_inst,[status(thm)],[])).
% 5.31/4.10 tff(19109,plain,
% 5.31/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s92) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s92))),
% 5.31/4.10 inference(modus_ponens,[status(thm)],[19108, 19107])).
% 5.31/4.10 tff(19110,plain,
% 5.31/4.10 ($false),
% 5.31/4.10 inference(unit_resolution,[status(thm)],[19109, 12455, 19103, 12541, 19102, 15747])).
% 5.31/4.10 tff(19111,plain,((~trans(s299, s92)) | until2p7(s92) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.31/4.10 tff(19112,plain,
% 5.31/4.10 (~trans(s299, s92)),
% 5.31/4.10 inference(unit_resolution,[status(thm)],[19111, 14975, 12444])).
% 5.31/4.10 tff(19113,assumption,(~until2p7(s16)), introduced(assumption)).
% 5.31/4.10 tff(19114,assumption,(trans(s299, s16)), introduced(assumption)).
% 5.31/4.10 tff(19115,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s16)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s16)))),
% 5.31/4.10 inference(rewrite,[status(thm)],[])).
% 5.31/4.10 tff(19116,plain,
% 5.31/4.10 (((~trans(s299, s16)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s16)) <=> (until2p7(s16) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s16)))),
% 5.31/4.10 inference(rewrite,[status(thm)],[])).
% 5.31/4.10 tff(19117,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s16)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s16) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s16))))),
% 5.31/4.10 inference(monotonicity,[status(thm)],[19116])).
% 5.31/4.10 tff(19118,plain,
% 5.31/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s16)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s16))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s16)))),
% 5.31/4.10 inference(transitivity,[status(thm)],[19117, 19115])).
% 5.31/4.10 tff(19119,plain,
% 5.31/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s16)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s16))),
% 5.31/4.10 inference(quant_inst,[status(thm)],[])).
% 5.31/4.10 tff(19120,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s16) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s16))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19119, 19118])).
% 5.34/4.10 tff(19121,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19120, 12455, 19114, 12541, 19113, 15747])).
% 5.34/4.10 tff(19122,plain,((~trans(s299, s16)) | until2p7(s16) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19123,plain,
% 5.34/4.10 (~trans(s299, s16)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19122, 16225, 12444])).
% 5.34/4.10 tff(19124,assumption,(~until2p7(s52)), introduced(assumption)).
% 5.34/4.10 tff(19125,assumption,(trans(s299, s52)), introduced(assumption)).
% 5.34/4.10 tff(19126,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s52)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s52)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19127,plain,
% 5.34/4.10 (((~trans(s299, s52)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s52)) <=> (until2p7(s52) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s52)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19128,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s52)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s52) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s52))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19127])).
% 5.34/4.10 tff(19129,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s52)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s52))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s52)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19128, 19126])).
% 5.34/4.10 tff(19130,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s52)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s52))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19131,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s52) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s52))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19130, 19129])).
% 5.34/4.10 tff(19132,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19131, 12455, 19125, 12541, 19124, 15747])).
% 5.34/4.10 tff(19133,plain,((~trans(s299, s52)) | until2p7(s52) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19134,plain,
% 5.34/4.10 (~trans(s299, s52)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19133, 15652, 12444])).
% 5.34/4.10 tff(19135,assumption,(~until2p7(s67)), introduced(assumption)).
% 5.34/4.10 tff(19136,assumption,(trans(s299, s67)), introduced(assumption)).
% 5.34/4.10 tff(19137,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s67)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s67)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19138,plain,
% 5.34/4.10 (((~trans(s299, s67)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s67)) <=> (until2p7(s67) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s67)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19139,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s67)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s67) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s67))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19138])).
% 5.34/4.10 tff(19140,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s67)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s67))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s67)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19139, 19137])).
% 5.34/4.10 tff(19141,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s67)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s67))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19142,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s67) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s67))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 5.34/4.10 tff(19143,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19142, 12455, 19136, 12541, 19135, 15747])).
% 5.34/4.10 tff(19144,plain,((~trans(s299, s67)) | until2p7(s67) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19145,plain,
% 5.34/4.10 (~trans(s299, s67)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19144, 15439, 12444])).
% 5.34/4.10 tff(19146,assumption,(~until2p7(s8)), introduced(assumption)).
% 5.34/4.10 tff(19147,assumption,(trans(s299, s8)), introduced(assumption)).
% 5.34/4.10 tff(19148,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s8)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s8)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19149,plain,
% 5.34/4.10 (((~trans(s299, s8)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s8)) <=> (until2p7(s8) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s8)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19150,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s8)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s8) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s8))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19149])).
% 5.34/4.10 tff(19151,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s8)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s8))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s8)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19150, 19148])).
% 5.34/4.10 tff(19152,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s8)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s8))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19153,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s8) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s8))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19152, 19151])).
% 5.34/4.10 tff(19154,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19153, 12455, 19147, 12541, 19146, 15747])).
% 5.34/4.10 tff(19155,plain,((~trans(s299, s8)) | until2p7(s8) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19156,plain,
% 5.34/4.10 (~trans(s299, s8)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19155, 16321, 12444])).
% 5.34/4.10 tff(19157,assumption,(~until2p7(s24)), introduced(assumption)).
% 5.34/4.10 tff(19158,assumption,(trans(s299, s24)), introduced(assumption)).
% 5.34/4.10 tff(19159,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s24)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s24)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19160,plain,
% 5.34/4.10 (((~trans(s299, s24)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s24)) <=> (until2p7(s24) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s24)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19161,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s24)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s24) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s24))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19160])).
% 5.34/4.10 tff(19162,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s24)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s24))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s24)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19161, 19159])).
% 5.34/4.10 tff(19163,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s24)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s24))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19164,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s24) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s24))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19163, 19162])).
% 5.34/4.10 tff(19165,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19164, 12455, 19158, 12541, 19157, 15747])).
% 5.34/4.10 tff(19166,plain,((~trans(s299, s24)) | until2p7(s24) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19167,plain,
% 5.34/4.10 (~trans(s299, s24)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19166, 16030, 12444])).
% 5.34/4.10 tff(19168,assumption,(~until2p7(s228)), introduced(assumption)).
% 5.34/4.10 tff(19169,assumption,(trans(s299, s228)), introduced(assumption)).
% 5.34/4.10 tff(19170,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s228) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s228)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s228)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19171,plain,
% 5.34/4.10 (((~trans(s299, s228)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s228)) <=> (until2p7(s228) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s228)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19172,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s228)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s228) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s228))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19171])).
% 5.34/4.10 tff(19173,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s228)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s228))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s228)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19172, 19170])).
% 5.34/4.10 tff(19174,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s228)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s228))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19175,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s228) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s228))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19174, 19173])).
% 5.34/4.10 tff(19176,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19175, 12455, 19169, 12541, 19168, 15747])).
% 5.34/4.10 tff(19177,plain,((~trans(s299, s228)) | until2p7(s228) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19178,plain,
% 5.34/4.10 (~trans(s299, s228)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19177, 12444, 13389])).
% 5.34/4.10 tff(19179,assumption,(~until2p7(s230)), introduced(assumption)).
% 5.34/4.10 tff(19180,assumption,(trans(s299, s230)), introduced(assumption)).
% 5.34/4.10 tff(19181,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s230) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s230)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s230)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19182,plain,
% 5.34/4.10 (((~trans(s299, s230)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s230)) <=> (until2p7(s230) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s230)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19183,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s230)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s230) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s230))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19182])).
% 5.34/4.10 tff(19184,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s230)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s230))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s230)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19183, 19181])).
% 5.34/4.10 tff(19185,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s230)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s230))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19186,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s230) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s230))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19185, 19184])).
% 5.34/4.10 tff(19187,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19186, 12455, 19180, 12541, 19179, 15747])).
% 5.34/4.10 tff(19188,plain,((~trans(s299, s230)) | until2p7(s230) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19189,plain,
% 5.34/4.10 (~trans(s299, s230)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19188, 12444, 13333])).
% 5.34/4.10 tff(19190,assumption,(~until2p7(s103)), introduced(assumption)).
% 5.34/4.10 tff(19191,assumption,(trans(s299, s103)), introduced(assumption)).
% 5.34/4.10 tff(19192,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s103) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s103)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s103)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19193,plain,
% 5.34/4.10 (((~trans(s299, s103)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s103)) <=> (until2p7(s103) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s103)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19194,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s103)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s103) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s103))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19193])).
% 5.34/4.10 tff(19195,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s103)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s103))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s103)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19194, 19192])).
% 5.34/4.10 tff(19196,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s103)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s103))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19197,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s103) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s103))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19196, 19195])).
% 5.34/4.10 tff(19198,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19197, 12455, 19191, 12541, 19190, 15747])).
% 5.34/4.10 tff(19199,plain,((~trans(s299, s103)) | until2p7(s103) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19200,plain,
% 5.34/4.10 (~trans(s299, s103)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19199, 14850, 12444])).
% 5.34/4.10 tff(19201,assumption,(~until2p7(s28)), introduced(assumption)).
% 5.34/4.10 tff(19202,assumption,(trans(s299, s28)), introduced(assumption)).
% 5.34/4.10 tff(19203,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s28)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s28)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19204,plain,
% 5.34/4.10 (((~trans(s299, s28)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s28)) <=> (until2p7(s28) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s28)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19205,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s28)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s28) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s28))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19204])).
% 5.34/4.10 tff(19206,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s28)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s28))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s28)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19205, 19203])).
% 5.34/4.10 tff(19207,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s28)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s28))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19208,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s28) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s28))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19207, 19206])).
% 5.34/4.10 tff(19209,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19208, 12455, 19202, 12541, 19201, 15747])).
% 5.34/4.10 tff(19210,plain,((~trans(s299, s28)) | until2p7(s28) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19211,plain,
% 5.34/4.10 (~trans(s299, s28)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19210, 15982, 12444])).
% 5.34/4.10 tff(19212,assumption,(~until2p7(s173)), introduced(assumption)).
% 5.34/4.10 tff(19213,assumption,(trans(s299, s173)), introduced(assumption)).
% 5.34/4.10 tff(19214,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s173) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s173)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s173)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19215,plain,
% 5.34/4.10 (((~trans(s299, s173)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s173)) <=> (until2p7(s173) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s173)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19216,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s173)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s173) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s173))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19215])).
% 5.34/4.10 tff(19217,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s173)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s173))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s173)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19216, 19214])).
% 5.34/4.10 tff(19218,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s173)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s173))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19219,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s173) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s173))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19218, 19217])).
% 5.34/4.10 tff(19220,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19219, 12455, 19213, 12541, 19212, 15747])).
% 5.34/4.10 tff(19221,plain,((~trans(s299, s173)) | until2p7(s173) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19222,plain,
% 5.34/4.10 (~trans(s299, s173)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19221, 12444, 14150])).
% 5.34/4.10 tff(19223,assumption,(~until2p7(s187)), introduced(assumption)).
% 5.34/4.10 tff(19224,assumption,(trans(s299, s187)), introduced(assumption)).
% 5.34/4.10 tff(19225,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s187) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s187)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s187)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19226,plain,
% 5.34/4.10 (((~trans(s299, s187)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s187)) <=> (until2p7(s187) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s187)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19227,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s187)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s187) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s187))))),
% 5.34/4.10 inference(monotonicity,[status(thm)],[19226])).
% 5.34/4.10 tff(19228,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s187)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s187))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s187)))),
% 5.34/4.10 inference(transitivity,[status(thm)],[19227, 19225])).
% 5.34/4.10 tff(19229,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s187)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s187))),
% 5.34/4.10 inference(quant_inst,[status(thm)],[])).
% 5.34/4.10 tff(19230,plain,
% 5.34/4.10 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s187) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s187))),
% 5.34/4.10 inference(modus_ponens,[status(thm)],[19229, 19228])).
% 5.34/4.10 tff(19231,plain,
% 5.34/4.10 ($false),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19230, 12455, 19224, 12541, 19223, 15747])).
% 5.34/4.10 tff(19232,plain,((~trans(s299, s187)) | until2p7(s187) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.10 tff(19233,plain,
% 5.34/4.10 (~trans(s299, s187)),
% 5.34/4.10 inference(unit_resolution,[status(thm)],[19232, 12444, 14008])).
% 5.34/4.10 tff(19234,assumption,(~until2p7(s184)), introduced(assumption)).
% 5.34/4.10 tff(19235,assumption,(trans(s299, s184)), introduced(assumption)).
% 5.34/4.10 tff(19236,plain,
% 5.34/4.10 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s184) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s184)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s184)))),
% 5.34/4.10 inference(rewrite,[status(thm)],[])).
% 5.34/4.10 tff(19237,plain,
% 5.34/4.10 (((~trans(s299, s184)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s184)) <=> (until2p7(s184) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s184)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19238,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s184)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s184) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s184))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19237])).
% 5.34/4.11 tff(19239,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s184)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s184))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s184)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19238, 19236])).
% 5.34/4.11 tff(19240,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s184)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s184))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19241,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s184) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s184))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19240, 19239])).
% 5.34/4.11 tff(19242,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19241, 12455, 19235, 12541, 19234, 15747])).
% 5.34/4.11 tff(19243,plain,((~trans(s299, s184)) | until2p7(s184) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19244,plain,
% 5.34/4.11 (~trans(s299, s184)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19243, 12444, 14040])).
% 5.34/4.11 tff(19245,assumption,(~until2p7(s79)), introduced(assumption)).
% 5.34/4.11 tff(19246,assumption,(trans(s299, s79)), introduced(assumption)).
% 5.34/4.11 tff(19247,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s79)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s79)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19248,plain,
% 5.34/4.11 (((~trans(s299, s79)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s79)) <=> (until2p7(s79) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s79)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19249,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s79)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s79) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s79))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19248])).
% 5.34/4.11 tff(19250,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s79)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s79))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s79)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19249, 19247])).
% 5.34/4.11 tff(19251,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s79)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s79))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19252,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s79) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s79))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19251, 19250])).
% 5.34/4.11 tff(19253,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19252, 12455, 19246, 12541, 19245, 15747])).
% 5.34/4.11 tff(19254,plain,((~trans(s299, s79)) | until2p7(s79) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19255,plain,
% 5.34/4.11 (~trans(s299, s79)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19254, 15227, 12444])).
% 5.34/4.11 tff(19256,assumption,(~until2p7(s128)), introduced(assumption)).
% 5.34/4.11 tff(19257,assumption,(trans(s299, s128)), introduced(assumption)).
% 5.34/4.11 tff(19258,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s128) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s128)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s128)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19259,plain,
% 5.34/4.11 (((~trans(s299, s128)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s128)) <=> (until2p7(s128) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s128)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19260,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s128)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s128) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s128))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19259])).
% 5.34/4.11 tff(19261,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s128)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s128))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s128)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19260, 19258])).
% 5.34/4.11 tff(19262,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s128)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s128))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19263,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s128) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s128))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19262, 19261])).
% 5.34/4.11 tff(19264,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19263, 12455, 19257, 12541, 19256, 15747])).
% 5.34/4.11 tff(19265,plain,((~trans(s299, s128)) | until2p7(s128) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19266,plain,
% 5.34/4.11 (~trans(s299, s128)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19265, 14600, 12444])).
% 5.34/4.11 tff(19267,assumption,(~until2p7(s178)), introduced(assumption)).
% 5.34/4.11 tff(19268,assumption,(trans(s299, s178)), introduced(assumption)).
% 5.34/4.11 tff(19269,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s178) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s178)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s178)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19270,plain,
% 5.34/4.11 (((~trans(s299, s178)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s178)) <=> (until2p7(s178) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s178)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19271,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s178)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s178) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s178))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19270])).
% 5.34/4.11 tff(19272,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s178)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s178))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s178)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19271, 19269])).
% 5.34/4.11 tff(19273,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s178)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s178))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19274,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s178) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s178))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19273, 19272])).
% 5.34/4.11 tff(19275,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19274, 12455, 19268, 12541, 19267, 15747])).
% 5.34/4.11 tff(19276,plain,((~trans(s299, s178)) | until2p7(s178) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19277,plain,
% 5.34/4.11 (~trans(s299, s178)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19276, 12444, 14100])).
% 5.34/4.11 tff(19278,assumption,(~until2p7(s22)), introduced(assumption)).
% 5.34/4.11 tff(19279,assumption,(trans(s299, s22)), introduced(assumption)).
% 5.34/4.11 tff(19280,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s22)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s22)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19281,plain,
% 5.34/4.11 (((~trans(s299, s22)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s22)) <=> (until2p7(s22) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s22)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19282,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s22)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s22) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s22))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19281])).
% 5.34/4.11 tff(19283,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s22)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s22))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s22)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19282, 19280])).
% 5.34/4.11 tff(19284,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s22)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s22))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19285,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s22) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s22))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19284, 19283])).
% 5.34/4.11 tff(19286,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19285, 12455, 19279, 12541, 19278, 15747])).
% 5.34/4.11 tff(19287,plain,((~trans(s299, s22)) | until2p7(s22) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19288,plain,
% 5.34/4.11 (~trans(s299, s22)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19287, 16054, 12444])).
% 5.34/4.11 tff(19289,assumption,(~until2p7(s45)), introduced(assumption)).
% 5.34/4.11 tff(19290,assumption,(trans(s299, s45)), introduced(assumption)).
% 5.34/4.11 tff(19291,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s45)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s45)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19292,plain,
% 5.34/4.11 (((~trans(s299, s45)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s45)) <=> (until2p7(s45) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s45)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19293,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s45)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s45) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s45))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19292])).
% 5.34/4.11 tff(19294,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s45)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s45))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s45)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19293, 19291])).
% 5.34/4.11 tff(19295,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s45)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s45))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19296,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s45) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s45))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19295, 19294])).
% 5.34/4.11 tff(19297,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19296, 12455, 19290, 12541, 19289, 15747])).
% 5.34/4.11 tff(19298,plain,((~trans(s299, s45)) | until2p7(s45) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19299,plain,
% 5.34/4.11 (~trans(s299, s45)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19298, 15734, 12444])).
% 5.34/4.11 tff(19300,assumption,(~until2p7(s30)), introduced(assumption)).
% 5.34/4.11 tff(19301,assumption,(trans(s299, s30)), introduced(assumption)).
% 5.34/4.11 tff(19302,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s30)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s30)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19303,plain,
% 5.34/4.11 (((~trans(s299, s30)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s30)) <=> (until2p7(s30) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s30)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19304,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s30)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s30) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s30))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19303])).
% 5.34/4.11 tff(19305,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s30)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s30))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s30)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19304, 19302])).
% 5.34/4.11 tff(19306,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s30)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s30))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19307,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s30) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s30))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19306, 19305])).
% 5.34/4.11 tff(19308,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19307, 12455, 19301, 12541, 19300, 15747])).
% 5.34/4.11 tff(19309,plain,((~trans(s299, s30)) | until2p7(s30) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19310,plain,
% 5.34/4.11 (~trans(s299, s30)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19309, 15958, 12444])).
% 5.34/4.11 tff(19311,assumption,(~until2p7(s93)), introduced(assumption)).
% 5.34/4.11 tff(19312,assumption,(trans(s299, s93)), introduced(assumption)).
% 5.34/4.11 tff(19313,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s93)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s93)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19314,plain,
% 5.34/4.11 (((~trans(s299, s93)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s93)) <=> (until2p7(s93) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s93)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19315,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s93)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s93) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s93))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19314])).
% 5.34/4.11 tff(19316,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s93)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s93))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s93)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19315, 19313])).
% 5.34/4.11 tff(19317,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s93)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s93))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19318,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s93) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s93))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19317, 19316])).
% 5.34/4.11 tff(19319,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19318, 12455, 19312, 12541, 19311, 15747])).
% 5.34/4.11 tff(19320,plain,((~trans(s299, s93)) | until2p7(s93) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19321,plain,
% 5.34/4.11 (~trans(s299, s93)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19320, 14963, 12444])).
% 5.34/4.11 tff(19322,assumption,(~until2p7(s95)), introduced(assumption)).
% 5.34/4.11 tff(19323,assumption,(trans(s299, s95)), introduced(assumption)).
% 5.34/4.11 tff(19324,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s95)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s95)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19325,plain,
% 5.34/4.11 (((~trans(s299, s95)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s95)) <=> (until2p7(s95) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s95)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19326,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s95)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s95) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s95))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19325])).
% 5.34/4.11 tff(19327,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s95)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s95))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s95)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19326, 19324])).
% 5.34/4.11 tff(19328,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s95)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s95))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19329,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s95) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s95))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19328, 19327])).
% 5.34/4.11 tff(19330,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19329, 12455, 19323, 12541, 19322, 15747])).
% 5.34/4.11 tff(19331,plain,((~trans(s299, s95)) | until2p7(s95) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19332,plain,
% 5.34/4.11 (~trans(s299, s95)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19331, 14941, 12444])).
% 5.34/4.11 tff(19333,assumption,(~until2p7(s222)), introduced(assumption)).
% 5.34/4.11 tff(19334,assumption,(trans(s299, s222)), introduced(assumption)).
% 5.34/4.11 tff(19335,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s222) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s222)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s222)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19336,plain,
% 5.34/4.11 (((~trans(s299, s222)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s222)) <=> (until2p7(s222) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s222)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19337,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s222)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s222) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s222))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19336])).
% 5.34/4.11 tff(19338,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s222)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s222))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s222)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19337, 19335])).
% 5.34/4.11 tff(19339,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s222)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s222))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19340,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s222) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s222))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19339, 19338])).
% 5.34/4.11 tff(19341,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19340, 12455, 19334, 12541, 19333, 15747])).
% 5.34/4.11 tff(19342,plain,((~trans(s299, s222)) | until2p7(s222) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19343,plain,
% 5.34/4.11 (~trans(s299, s222)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19342, 12444, 13489])).
% 5.34/4.11 tff(19344,assumption,(~until2p7(s293)), introduced(assumption)).
% 5.34/4.11 tff(19345,assumption,(trans(s299, s293)), introduced(assumption)).
% 5.34/4.11 tff(19346,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s293) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s293)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s293)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19347,plain,
% 5.34/4.11 (((~trans(s299, s293)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s293)) <=> (until2p7(s293) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s293)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19348,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s293)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s293) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s293))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19347])).
% 5.34/4.11 tff(19349,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s293)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s293))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s293)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19348, 19346])).
% 5.34/4.11 tff(19350,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s293)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s293))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19351,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s293) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s293))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19350, 19349])).
% 5.34/4.11 tff(19352,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19351, 12455, 19345, 12541, 19344, 15747])).
% 5.34/4.11 tff(19353,plain,((~trans(s299, s293)) | until2p7(s293) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19354,plain,
% 5.34/4.11 (~trans(s299, s293)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19353, 12444, 12561])).
% 5.34/4.11 tff(19355,assumption,(~until2p7(s287)), introduced(assumption)).
% 5.34/4.11 tff(19356,assumption,(trans(s299, s287)), introduced(assumption)).
% 5.34/4.11 tff(19357,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s287) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s287)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s287)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19358,plain,
% 5.34/4.11 (((~trans(s299, s287)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s287)) <=> (until2p7(s287) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s287)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19359,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s287)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s287) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s287))))),
% 5.34/4.11 inference(monotonicity,[status(thm)],[19358])).
% 5.34/4.11 tff(19360,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s287)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s287))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s287)))),
% 5.34/4.11 inference(transitivity,[status(thm)],[19359, 19357])).
% 5.34/4.11 tff(19361,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s287)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s287))),
% 5.34/4.11 inference(quant_inst,[status(thm)],[])).
% 5.34/4.11 tff(19362,plain,
% 5.34/4.11 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s287) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s287))),
% 5.34/4.11 inference(modus_ponens,[status(thm)],[19361, 19360])).
% 5.34/4.11 tff(19363,plain,
% 5.34/4.11 ($false),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19362, 12455, 19356, 12541, 19355, 15747])).
% 5.34/4.11 tff(19364,plain,((~trans(s299, s287)) | until2p7(s287) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.11 tff(19365,plain,
% 5.34/4.11 (~trans(s299, s287)),
% 5.34/4.11 inference(unit_resolution,[status(thm)],[19364, 12624, 12444])).
% 5.34/4.11 tff(19366,assumption,(~until2p7(s135)), introduced(assumption)).
% 5.34/4.11 tff(19367,assumption,(trans(s299, s135)), introduced(assumption)).
% 5.34/4.11 tff(19368,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s135) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s135)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s135)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19369,plain,
% 5.34/4.11 (((~trans(s299, s135)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s135)) <=> (until2p7(s135) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s135)))),
% 5.34/4.11 inference(rewrite,[status(thm)],[])).
% 5.34/4.11 tff(19370,plain,
% 5.34/4.11 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s135)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s135) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s135))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19369])).
% 5.34/4.12 tff(19371,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s135)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s135))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s135)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19370, 19368])).
% 5.34/4.12 tff(19372,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s135)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s135))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19373,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s135) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s135))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19372, 19371])).
% 5.34/4.12 tff(19374,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19373, 12455, 19367, 12541, 19366, 15747])).
% 5.34/4.12 tff(19375,plain,((~trans(s299, s135)) | until2p7(s135) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19376,plain,
% 5.34/4.12 (~trans(s299, s135)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19375, 14530, 12444])).
% 5.34/4.12 tff(19377,assumption,(~until2p7(s227)), introduced(assumption)).
% 5.34/4.12 tff(19378,assumption,(trans(s299, s227)), introduced(assumption)).
% 5.34/4.12 tff(19379,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s227) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s227)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s227)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19380,plain,
% 5.34/4.12 (((~trans(s299, s227)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s227)) <=> (until2p7(s227) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s227)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19381,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s227)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s227) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s227))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19380])).
% 5.34/4.12 tff(19382,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s227)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s227))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s227)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19381, 19379])).
% 5.34/4.12 tff(19383,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s227)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s227))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19384,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s227) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s227))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19383, 19382])).
% 5.34/4.12 tff(19385,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19384, 12455, 19378, 12541, 19377, 15747])).
% 5.34/4.12 tff(19386,plain,((~trans(s299, s227)) | until2p7(s227) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19387,plain,
% 5.34/4.12 (~trans(s299, s227)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19386, 12444, 13400])).
% 5.34/4.12 tff(19388,assumption,(~until2p7(s262)), introduced(assumption)).
% 5.34/4.12 tff(19389,assumption,(trans(s299, s262)), introduced(assumption)).
% 5.34/4.12 tff(19390,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s262) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s262)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s262)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19391,plain,
% 5.34/4.12 (((~trans(s299, s262)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s262)) <=> (until2p7(s262) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s262)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19392,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s262)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s262) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s262))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19391])).
% 5.34/4.12 tff(19393,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s262)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s262))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s262)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19392, 19390])).
% 5.34/4.12 tff(19394,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s262)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s262))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19395,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s262) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s262))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19394, 19393])).
% 5.34/4.12 tff(19396,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19395, 12455, 19389, 12541, 19388, 15747])).
% 5.34/4.12 tff(19397,plain,((~trans(s299, s262)) | until2p7(s262) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19398,plain,
% 5.34/4.12 (~trans(s299, s262)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19397, 12932, 12444])).
% 5.34/4.12 tff(19399,assumption,(~until2p7(s149)), introduced(assumption)).
% 5.34/4.12 tff(19400,assumption,(trans(s299, s149)), introduced(assumption)).
% 5.34/4.12 tff(19401,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s149) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s149)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s149)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19402,plain,
% 5.34/4.12 (((~trans(s299, s149)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s149)) <=> (until2p7(s149) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s149)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19403,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s149)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s149) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s149))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19402])).
% 5.34/4.12 tff(19404,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s149)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s149))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s149)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19403, 19401])).
% 5.34/4.12 tff(19405,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s149)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s149))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19406,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s149) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s149))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19405, 19404])).
% 5.34/4.12 tff(19407,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19406, 12455, 19400, 12541, 19399, 15747])).
% 5.34/4.12 tff(19408,plain,((~trans(s299, s149)) | until2p7(s149) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19409,plain,
% 5.34/4.12 (~trans(s299, s149)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19408, 14390, 12444])).
% 5.34/4.12 tff(19410,assumption,(~until2p7(s282)), introduced(assumption)).
% 5.34/4.12 tff(19411,assumption,(trans(s299, s282)), introduced(assumption)).
% 5.34/4.12 tff(19412,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s282) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s282)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s282)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19413,plain,
% 5.34/4.12 (((~trans(s299, s282)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s282)) <=> (until2p7(s282) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s282)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19414,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s282)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s282) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s282))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19413])).
% 5.34/4.12 tff(19415,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s282)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s282))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s282)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19414, 19412])).
% 5.34/4.12 tff(19416,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s282)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s282))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19417,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s282) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s282))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19416, 19415])).
% 5.34/4.12 tff(19418,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19417, 12455, 19411, 12541, 19410, 15747])).
% 5.34/4.12 tff(19419,plain,((~trans(s299, s282)) | until2p7(s282) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19420,plain,
% 5.34/4.12 (~trans(s299, s282)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19419, 12713, 12444])).
% 5.34/4.12 tff(19421,assumption,(~until2p7(s288)), introduced(assumption)).
% 5.34/4.12 tff(19422,assumption,(trans(s299, s288)), introduced(assumption)).
% 5.34/4.12 tff(19423,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s288) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s288)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s288)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19424,plain,
% 5.34/4.12 (((~trans(s299, s288)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s288)) <=> (until2p7(s288) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s288)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19425,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s288)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s288) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s288))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19424])).
% 5.34/4.12 tff(19426,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s288)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s288))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s288)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19425, 19423])).
% 5.34/4.12 tff(19427,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s288)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s288))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19428,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s288) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s288))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19427, 19426])).
% 5.34/4.12 tff(19429,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19428, 12455, 19422, 12541, 19421, 15747])).
% 5.34/4.12 tff(19430,plain,((~trans(s299, s288)) | until2p7(s288) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19431,plain,
% 5.34/4.12 (~trans(s299, s288)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19430, 12613, 12444])).
% 5.34/4.12 tff(19432,assumption,(~until2p7(s6)), introduced(assumption)).
% 5.34/4.12 tff(19433,assumption,(trans(s299, s6)), introduced(assumption)).
% 5.34/4.12 tff(19434,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s6)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s6)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19435,plain,
% 5.34/4.12 (((~trans(s299, s6)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s6)) <=> (until2p7(s6) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s6)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19436,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s6)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s6) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s6))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19435])).
% 5.34/4.12 tff(19437,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s6)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s6))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s6)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19436, 19434])).
% 5.34/4.12 tff(19438,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s6)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s6))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19439,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s6) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s6))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19438, 19437])).
% 5.34/4.12 tff(19440,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19439, 12455, 19433, 12541, 19432, 15747])).
% 5.34/4.12 tff(19441,plain,((~trans(s299, s6)) | until2p7(s6) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19442,plain,
% 5.34/4.12 (~trans(s299, s6)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19441, 16345, 12444])).
% 5.34/4.12 tff(19443,assumption,(~until2p7(s7)), introduced(assumption)).
% 5.34/4.12 tff(19444,assumption,(trans(s299, s7)), introduced(assumption)).
% 5.34/4.12 tff(19445,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s7)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s7)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19446,plain,
% 5.34/4.12 (((~trans(s299, s7)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s7)) <=> (until2p7(s7) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s7)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19447,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s7)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s7) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s7))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19446])).
% 5.34/4.12 tff(19448,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s7)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s7))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s7)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19447, 19445])).
% 5.34/4.12 tff(19449,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s7)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s7))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19450,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s7) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s7))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19449, 19448])).
% 5.34/4.12 tff(19451,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19450, 12455, 19444, 12541, 19443, 15747])).
% 5.34/4.12 tff(19452,plain,((~trans(s299, s7)) | until2p7(s7) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19453,plain,
% 5.34/4.12 (~trans(s299, s7)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19452, 16333, 12444])).
% 5.34/4.12 tff(19454,assumption,(~until2p7(s5)), introduced(assumption)).
% 5.34/4.12 tff(19455,assumption,(trans(s299, s5)), introduced(assumption)).
% 5.34/4.12 tff(19456,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s5)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s5)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19457,plain,
% 5.34/4.12 (((~trans(s299, s5)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s5)) <=> (until2p7(s5) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s5)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19458,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s5)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s5) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s5))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19457])).
% 5.34/4.12 tff(19459,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s5)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s5))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s5)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19458, 19456])).
% 5.34/4.12 tff(19460,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s5)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s5))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19461,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s5) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s5))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19460, 19459])).
% 5.34/4.12 tff(19462,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19461, 12455, 19455, 12541, 19454, 15747])).
% 5.34/4.12 tff(19463,plain,((~trans(s299, s5)) | until2p7(s5) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19464,plain,
% 5.34/4.12 (~trans(s299, s5)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19463, 16357, 12444])).
% 5.34/4.12 tff(19465,assumption,(~until2p7(s136)), introduced(assumption)).
% 5.34/4.12 tff(19466,assumption,(trans(s299, s136)), introduced(assumption)).
% 5.34/4.12 tff(19467,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s136) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s136)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s136)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19468,plain,
% 5.34/4.12 (((~trans(s299, s136)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s136)) <=> (until2p7(s136) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s136)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19469,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s136)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s136) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s136))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19468])).
% 5.34/4.12 tff(19470,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s136)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s136))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s136)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19469, 19467])).
% 5.34/4.12 tff(19471,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s136)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s136))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19472,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s136) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s136))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19471, 19470])).
% 5.34/4.12 tff(19473,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19472, 12455, 19466, 12541, 19465, 15747])).
% 5.34/4.12 tff(19474,plain,((~trans(s299, s136)) | until2p7(s136) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19475,plain,
% 5.34/4.12 (~trans(s299, s136)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19474, 14520, 12444])).
% 5.34/4.12 tff(19476,assumption,(~until2p7(s168)), introduced(assumption)).
% 5.34/4.12 tff(19477,assumption,(trans(s299, s168)), introduced(assumption)).
% 5.34/4.12 tff(19478,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s168) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s168)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s168)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19479,plain,
% 5.34/4.12 (((~trans(s299, s168)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s168)) <=> (until2p7(s168) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s168)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19480,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s168)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s168) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s168))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19479])).
% 5.34/4.12 tff(19481,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s168)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s168))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s168)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19480, 19478])).
% 5.34/4.12 tff(19482,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s168)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s168))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19483,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s168) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s168))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19482, 19481])).
% 5.34/4.12 tff(19484,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19483, 12455, 19477, 12541, 19476, 15747])).
% 5.34/4.12 tff(19485,plain,((~trans(s299, s168)) | until2p7(s168) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19486,plain,
% 5.34/4.12 (~trans(s299, s168)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19485, 14200, 12444])).
% 5.34/4.12 tff(19487,assumption,(~until2p7(s201)), introduced(assumption)).
% 5.34/4.12 tff(19488,assumption,(trans(s299, s201)), introduced(assumption)).
% 5.34/4.12 tff(19489,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s201) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s201)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s201)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19490,plain,
% 5.34/4.12 (((~trans(s299, s201)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s201)) <=> (until2p7(s201) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s201)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19491,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s201)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s201) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s201))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19490])).
% 5.34/4.12 tff(19492,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s201)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s201))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s201)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19491, 19489])).
% 5.34/4.12 tff(19493,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s201)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s201))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19494,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s201) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s201))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19493, 19492])).
% 5.34/4.12 tff(19495,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19494, 12455, 19488, 12541, 19487, 15747])).
% 5.34/4.12 tff(19496,plain,((~trans(s299, s201)) | until2p7(s201) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19497,plain,
% 5.34/4.12 (~trans(s299, s201)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19496, 13820, 12444])).
% 5.34/4.12 tff(19498,assumption,(~until2p7(s126)), introduced(assumption)).
% 5.34/4.12 tff(19499,assumption,(trans(s299, s126)), introduced(assumption)).
% 5.34/4.12 tff(19500,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s126) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s126)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s126)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19501,plain,
% 5.34/4.12 (((~trans(s299, s126)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s126)) <=> (until2p7(s126) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s126)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19502,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s126)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s126) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s126))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19501])).
% 5.34/4.12 tff(19503,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s126)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s126))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s126)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19502, 19500])).
% 5.34/4.12 tff(19504,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s126)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s126))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19505,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s126) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s126))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19504, 19503])).
% 5.34/4.12 tff(19506,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19505, 12455, 19499, 12541, 19498, 15747])).
% 5.34/4.12 tff(19507,plain,((~trans(s299, s126)) | until2p7(s126) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19508,plain,
% 5.34/4.12 (~trans(s299, s126)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19507, 14620, 12444])).
% 5.34/4.12 tff(19509,assumption,(~until2p7(s246)), introduced(assumption)).
% 5.34/4.12 tff(19510,assumption,(trans(s299, s246)), introduced(assumption)).
% 5.34/4.12 tff(19511,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s246) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s246)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s246)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19512,plain,
% 5.34/4.12 (((~trans(s299, s246)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s246)) <=> (until2p7(s246) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s246)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19513,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s246)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s246) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s246))))),
% 5.34/4.12 inference(monotonicity,[status(thm)],[19512])).
% 5.34/4.12 tff(19514,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s246)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s246))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s246)))),
% 5.34/4.12 inference(transitivity,[status(thm)],[19513, 19511])).
% 5.34/4.12 tff(19515,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s246)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s246))),
% 5.34/4.12 inference(quant_inst,[status(thm)],[])).
% 5.34/4.12 tff(19516,plain,
% 5.34/4.12 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s246) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s246))),
% 5.34/4.12 inference(modus_ponens,[status(thm)],[19515, 19514])).
% 5.34/4.12 tff(19517,plain,
% 5.34/4.12 ($false),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19516, 12455, 19510, 12541, 19509, 15747])).
% 5.34/4.12 tff(19518,plain,((~trans(s299, s246)) | until2p7(s246) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.12 tff(19519,plain,
% 5.34/4.12 (~trans(s299, s246)),
% 5.34/4.12 inference(unit_resolution,[status(thm)],[19518, 13133, 12444])).
% 5.34/4.12 tff(19520,assumption,(~until2p7(s166)), introduced(assumption)).
% 5.34/4.12 tff(19521,assumption,(trans(s299, s166)), introduced(assumption)).
% 5.34/4.12 tff(19522,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s166) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s166)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s166)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19523,plain,
% 5.34/4.12 (((~trans(s299, s166)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s166)) <=> (until2p7(s166) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s166)))),
% 5.34/4.12 inference(rewrite,[status(thm)],[])).
% 5.34/4.12 tff(19524,plain,
% 5.34/4.12 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s166)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s166) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s166))))),
% 5.34/4.13 inference(monotonicity,[status(thm)],[19523])).
% 5.34/4.13 tff(19525,plain,
% 5.34/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s166)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s166))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s166)))),
% 5.34/4.13 inference(transitivity,[status(thm)],[19524, 19522])).
% 5.34/4.13 tff(19526,plain,
% 5.34/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s166)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s166))),
% 5.34/4.13 inference(quant_inst,[status(thm)],[])).
% 5.34/4.13 tff(19527,plain,
% 5.34/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s166) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s166))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19526, 19525])).
% 5.34/4.13 tff(19528,plain,
% 5.34/4.13 ($false),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19527, 12455, 19521, 12541, 19520, 15747])).
% 5.34/4.13 tff(19529,plain,((~trans(s299, s166)) | until2p7(s166) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.13 tff(19530,plain,
% 5.34/4.13 (~trans(s299, s166)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19529, 14220, 12444])).
% 5.34/4.13 tff(19531,assumption,(~until2p7(s203)), introduced(assumption)).
% 5.34/4.13 tff(19532,assumption,(trans(s299, s203)), introduced(assumption)).
% 5.34/4.13 tff(19533,plain,
% 5.34/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s203) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s203)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s203)))),
% 5.34/4.13 inference(rewrite,[status(thm)],[])).
% 5.34/4.13 tff(19534,plain,
% 5.34/4.13 (((~trans(s299, s203)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s203)) <=> (until2p7(s203) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s203)))),
% 5.34/4.13 inference(rewrite,[status(thm)],[])).
% 5.34/4.13 tff(19535,plain,
% 5.34/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s203)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s203) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s203))))),
% 5.34/4.13 inference(monotonicity,[status(thm)],[19534])).
% 5.34/4.13 tff(19536,plain,
% 5.34/4.13 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s203)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s203))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s203)))),
% 5.34/4.13 inference(transitivity,[status(thm)],[19535, 19533])).
% 5.34/4.13 tff(19537,plain,
% 5.34/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s203)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s203))),
% 5.34/4.13 inference(quant_inst,[status(thm)],[])).
% 5.34/4.13 tff(19538,plain,
% 5.34/4.13 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s203) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s203))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19537, 19536])).
% 5.34/4.13 tff(19539,plain,
% 5.34/4.13 ($false),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19538, 12455, 19532, 12541, 19531, 15747])).
% 5.34/4.13 tff(19540,plain,((~trans(s299, s203)) | until2p7(s203) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.34/4.13 tff(19541,plain,
% 5.34/4.13 (~trans(s299, s203)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19540, 13799, 12444])).
% 5.34/4.13 tff(19542,plain,
% 5.34/4.13 (xuntil6(s0)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[391, 17930])).
% 5.34/4.13 tff(19543,plain,
% 5.34/4.13 (until5(s1)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[396, 19542])).
% 5.34/4.13 tff(19544,plain,
% 5.34/4.13 (xuntil6(s1)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[403, 155, 19543, 16400])).
% 5.34/4.13 tff(19545,plain,
% 5.34/4.13 (until5(s2)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[408, 19544])).
% 5.34/4.13 tff(19546,plain,
% 5.34/4.13 (xuntil6(s2) | (~until5(s2))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[419, 155, 16388])).
% 5.34/4.13 tff(19547,plain,
% 5.34/4.13 (xuntil6(s2)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19546, 19545])).
% 5.34/4.13 tff(19548,plain,
% 5.34/4.13 (until5(s3)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[425, 19547])).
% 5.34/4.13 tff(19549,plain,
% 5.34/4.13 (xuntil6(s3) | (~until5(s3))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[436, 155, 16376])).
% 5.34/4.13 tff(19550,plain,
% 5.34/4.13 (xuntil6(s3)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19549, 19548])).
% 5.34/4.13 tff(19551,plain,
% 5.34/4.13 (until5(s4)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[442, 19550])).
% 5.34/4.13 tff(19552,plain,
% 5.34/4.13 (xuntil6(s4) | (~until5(s4))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[453, 155, 16364])).
% 5.34/4.13 tff(19553,plain,
% 5.34/4.13 (xuntil6(s4)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19552, 19551])).
% 5.34/4.13 tff(19554,plain,
% 5.34/4.13 (until5(s5)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[459, 19553])).
% 5.34/4.13 tff(19555,plain,
% 5.34/4.13 (xuntil6(s5) | (~until5(s5))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[470, 155, 16352])).
% 5.34/4.13 tff(19556,plain,
% 5.34/4.13 (xuntil6(s5)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19555, 19554])).
% 5.34/4.13 tff(19557,plain,
% 5.34/4.13 (until5(s6)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[476, 19556])).
% 5.34/4.13 tff(19558,plain,
% 5.34/4.13 (xuntil6(s6) | (~until5(s6))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[299, 155, 16340])).
% 5.34/4.13 tff(19559,plain,
% 5.34/4.13 (xuntil6(s6)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19558, 19557])).
% 5.34/4.13 tff(19560,plain,
% 5.34/4.13 (until5(s7)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[279, 19559])).
% 5.34/4.13 tff(19561,plain,
% 5.34/4.13 (xuntil6(s7) | (~until5(s7))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[270, 155, 16328])).
% 5.34/4.13 tff(19562,plain,
% 5.34/4.13 (xuntil6(s7)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19561, 19560])).
% 5.34/4.13 tff(19563,plain,
% 5.34/4.13 (until5(s8)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[250, 19562])).
% 5.34/4.13 tff(19564,plain,
% 5.34/4.13 (xuntil6(s8) | (~until5(s8))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[241, 155, 16316])).
% 5.34/4.13 tff(19565,plain,
% 5.34/4.13 (xuntil6(s8)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19564, 19563])).
% 5.34/4.13 tff(19566,plain,
% 5.34/4.13 (until5(s9)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[221, 19565])).
% 5.34/4.13 tff(19567,plain,
% 5.34/4.13 (xuntil6(s9) | (~until5(s9))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[212, 155, 16304])).
% 5.34/4.13 tff(19568,plain,
% 5.34/4.13 (xuntil6(s9)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19567, 19566])).
% 5.34/4.13 tff(19569,plain,
% 5.34/4.13 (until5(s10)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[192, 19568])).
% 5.34/4.13 tff(19570,plain,
% 5.34/4.13 (xuntil6(s10) | (~until5(s10))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[184, 155, 16292])).
% 5.34/4.13 tff(19571,plain,
% 5.34/4.13 (xuntil6(s10)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19570, 19569])).
% 5.34/4.13 tff(19572,plain,
% 5.34/4.13 (until5(s11)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[177, 19571])).
% 5.34/4.13 tff(19573,plain,
% 5.34/4.13 (xuntil6(s11) | (~until5(s11))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[161, 155, 16280])).
% 5.34/4.13 tff(19574,plain,
% 5.34/4.13 (xuntil6(s11)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19573, 19572])).
% 5.34/4.13 tff(19575,plain,
% 5.34/4.13 (until5(s12)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[979, 19574])).
% 5.34/4.13 tff(19576,plain,
% 5.34/4.13 (xuntil6(s12) | (~until5(s12))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1365, 155, 16268])).
% 5.34/4.13 tff(19577,plain,
% 5.34/4.13 (xuntil6(s12)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19576, 19575])).
% 5.34/4.13 tff(19578,plain,
% 5.34/4.13 (until5(s13)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1371, 19577])).
% 5.34/4.13 tff(19579,plain,
% 5.34/4.13 (xuntil6(s13) | (~until5(s13))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1378, 155, 16256])).
% 5.34/4.13 tff(19580,plain,
% 5.34/4.13 (xuntil6(s13)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19579, 19578])).
% 5.34/4.13 tff(19581,plain,
% 5.34/4.13 (until5(s14)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1383, 19580])).
% 5.34/4.13 tff(19582,plain,
% 5.34/4.13 (xuntil6(s14) | (~until5(s14))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1394, 155, 16244])).
% 5.34/4.13 tff(19583,plain,
% 5.34/4.13 (xuntil6(s14)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19582, 19581])).
% 5.34/4.13 tff(19584,plain,
% 5.34/4.13 (until5(s15)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1400, 19583])).
% 5.34/4.13 tff(19585,plain,
% 5.34/4.13 (xuntil6(s15) | (~until5(s15))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1411, 155, 16232])).
% 5.34/4.13 tff(19586,plain,
% 5.34/4.13 (xuntil6(s15)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19585, 19584])).
% 5.34/4.13 tff(19587,plain,
% 5.34/4.13 (until5(s16)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1417, 19586])).
% 5.34/4.13 tff(19588,plain,
% 5.34/4.13 (xuntil6(s16) | (~until5(s16))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1428, 155, 16220])).
% 5.34/4.13 tff(19589,plain,
% 5.34/4.13 (xuntil6(s16)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19588, 19587])).
% 5.34/4.13 tff(19590,plain,
% 5.34/4.13 (until5(s17)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1434, 19589])).
% 5.34/4.13 tff(19591,plain,
% 5.34/4.13 (xuntil6(s17) | (~until5(s17))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1445, 155, 16208])).
% 5.34/4.13 tff(19592,plain,
% 5.34/4.13 (xuntil6(s17)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19591, 19590])).
% 5.34/4.13 tff(19593,plain,
% 5.34/4.13 (until5(s18)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1451, 19592])).
% 5.34/4.13 tff(19594,plain,
% 5.34/4.13 (xuntil6(s18) | (~until5(s18))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1462, 155, 16097])).
% 5.34/4.13 tff(19595,plain,
% 5.34/4.13 (xuntil6(s18)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19594, 19593])).
% 5.34/4.13 tff(19596,plain,
% 5.34/4.13 (until5(s19)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1468, 19595])).
% 5.34/4.13 tff(19597,plain,
% 5.34/4.13 (xuntil6(s19) | (~until5(s19))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1479, 155, 16085])).
% 5.34/4.13 tff(19598,plain,
% 5.34/4.13 (xuntil6(s19)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19597, 19596])).
% 5.34/4.13 tff(19599,plain,
% 5.34/4.13 (until5(s20)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1485, 19598])).
% 5.34/4.13 tff(19600,plain,
% 5.34/4.13 (xuntil6(s20) | (~until5(s20))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1496, 155, 16073])).
% 5.34/4.13 tff(19601,plain,
% 5.34/4.13 (xuntil6(s20)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19600, 19599])).
% 5.34/4.13 tff(19602,plain,
% 5.34/4.13 (until5(s21)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1502, 19601])).
% 5.34/4.13 tff(19603,plain,
% 5.34/4.13 (xuntil6(s21) | (~until5(s21))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1513, 155, 16061])).
% 5.34/4.13 tff(19604,plain,
% 5.34/4.13 (xuntil6(s21)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19603, 19602])).
% 5.34/4.13 tff(19605,plain,
% 5.34/4.13 (until5(s22)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1233, 19604])).
% 5.34/4.13 tff(19606,plain,
% 5.34/4.13 (xuntil6(s22) | (~until5(s22))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1224, 155, 16049])).
% 5.34/4.13 tff(19607,plain,
% 5.34/4.13 (xuntil6(s22)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19606, 19605])).
% 5.34/4.13 tff(19608,plain,
% 5.34/4.13 (until5(s23)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1204, 19607])).
% 5.34/4.13 tff(19609,plain,
% 5.34/4.13 (xuntil6(s23) | (~until5(s23))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1195, 155, 16037])).
% 5.34/4.13 tff(19610,plain,
% 5.34/4.13 (xuntil6(s23)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19609, 19608])).
% 5.34/4.13 tff(19611,plain,
% 5.34/4.13 (until5(s24)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1175, 19610])).
% 5.34/4.13 tff(19612,plain,
% 5.34/4.13 (xuntil6(s24) | (~until5(s24))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1166, 155, 16025])).
% 5.34/4.13 tff(19613,plain,
% 5.34/4.13 (xuntil6(s24)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19612, 19611])).
% 5.34/4.13 tff(19614,plain,
% 5.34/4.13 (until5(s25)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1146, 19613])).
% 5.34/4.13 tff(19615,plain,
% 5.34/4.13 (xuntil6(s25) | (~until5(s25))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1137, 155, 16013])).
% 5.34/4.13 tff(19616,plain,
% 5.34/4.13 (xuntil6(s25)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19615, 19614])).
% 5.34/4.13 tff(19617,plain,
% 5.34/4.13 (until5(s26)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1117, 19616])).
% 5.34/4.13 tff(19618,plain,
% 5.34/4.13 (xuntil6(s26) | (~until5(s26))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1108, 155, 16001])).
% 5.34/4.13 tff(19619,plain,
% 5.34/4.13 (xuntil6(s26)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19618, 19617])).
% 5.34/4.13 tff(19620,plain,
% 5.34/4.13 (until5(s27)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1088, 19619])).
% 5.34/4.13 tff(19621,plain,
% 5.34/4.13 (xuntil6(s27) | (~until5(s27))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1079, 155, 15989])).
% 5.34/4.13 tff(19622,plain,
% 5.34/4.13 (xuntil6(s27)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19621, 19620])).
% 5.34/4.13 tff(19623,plain,
% 5.34/4.13 (until5(s28)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1059, 19622])).
% 5.34/4.13 tff(19624,plain,
% 5.34/4.13 (xuntil6(s28) | (~until5(s28))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1050, 155, 15977])).
% 5.34/4.13 tff(19625,plain,
% 5.34/4.13 (xuntil6(s28)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19624, 19623])).
% 5.34/4.13 tff(19626,plain,
% 5.34/4.13 (until5(s29)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1030, 19625])).
% 5.34/4.13 tff(19627,plain,
% 5.34/4.13 (xuntil6(s29) | (~until5(s29))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1022, 155, 15965])).
% 5.34/4.13 tff(19628,plain,
% 5.34/4.13 (xuntil6(s29)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19627, 19626])).
% 5.34/4.13 tff(19629,plain,
% 5.34/4.13 (until5(s30)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[1015, 19628])).
% 5.34/4.13 tff(19630,plain,
% 5.34/4.13 (xuntil6(s46)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[3257, 19629, 15716])).
% 5.34/4.13 tff(19631,plain,
% 5.34/4.13 (until5(s47)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[3729, 19630])).
% 5.34/4.13 tff(19632,assumption,(~loop), introduced(assumption)).
% 5.34/4.13 tff(19633,plain,
% 5.34/4.13 (^[X: $i] : refl((loop | (~always3(X)) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 5.34/4.13 inference(bind,[status(th)],[])).
% 5.34/4.13 tff(19634,plain,
% 5.34/4.13 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 5.34/4.13 inference(quant_intro,[status(thm)],[19633])).
% 5.34/4.13 tff(19635,plain,
% 5.34/4.13 (![X: $i] : (loop | (~always3(X)) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 5.34/4.13 inference(rewrite,[status(thm)],[])).
% 5.34/4.13 tff(19636,plain,
% 5.34/4.13 (^[X: $i] : rewrite(((loop | (~always3(X))) | (~last(X))) <=> (loop | (~always3(X)) | (~last(X))))),
% 5.34/4.13 inference(bind,[status(th)],[])).
% 5.34/4.13 tff(19637,plain,
% 5.34/4.13 (![X: $i] : ((loop | (~always3(X))) | (~last(X))) <=> ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 5.34/4.13 inference(quant_intro,[status(thm)],[19636])).
% 5.34/4.13 tff(19638,axiom,(![X: $i] : ((loop | (~always3(X))) | (~last(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty3')).
% 5.34/4.13 tff(19639,plain,
% 5.34/4.13 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19638, 19637])).
% 5.34/4.13 tff(19640,plain,
% 5.34/4.13 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19639, 19635])).
% 5.34/4.13 tff(19641,plain,(
% 5.34/4.13 ![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 5.34/4.13 inference(skolemize,[status(sab)],[19640])).
% 5.34/4.13 tff(19642,plain,
% 5.34/4.13 (![X: $i] : (loop | (~always3(X)) | (~last(X)))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19641, 19634])).
% 5.34/4.13 tff(19643,plain,
% 5.34/4.13 (((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s299)) | (~last(s299)))) <=> ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s299)) | (~last(s299)))),
% 5.34/4.13 inference(rewrite,[status(thm)],[])).
% 5.34/4.13 tff(19644,plain,
% 5.34/4.13 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | (loop | (~always3(s299)) | (~last(s299)))),
% 5.34/4.13 inference(quant_inst,[status(thm)],[])).
% 5.34/4.13 tff(19645,plain,
% 5.34/4.13 ((~![X: $i] : (loop | (~always3(X)) | (~last(X)))) | loop | (~always3(s299)) | (~last(s299))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19644, 19643])).
% 5.34/4.13 tff(19646,plain,
% 5.34/4.13 (loop | (~always3(s299))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19645, 12455, 19642])).
% 5.34/4.13 tff(19647,plain,
% 5.34/4.13 (~always3(s299)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19646, 19632])).
% 5.34/4.13 tff(19648,plain,
% 5.34/4.13 (~always3(s298)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4281, 19647])).
% 5.34/4.13 tff(19649,plain,
% 5.34/4.13 (~node4(s298)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12334, 35, 19648])).
% 5.34/4.13 tff(19650,plain,
% 5.34/4.13 (~node4(s299)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12433, 35, 19647])).
% 5.34/4.13 tff(19651,plain,
% 5.34/4.13 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 5.34/4.13 inference(bind,[status(th)],[])).
% 5.34/4.13 tff(19652,plain,
% 5.34/4.13 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 5.34/4.13 inference(quant_intro,[status(thm)],[19651])).
% 5.34/4.13 tff(19653,plain,
% 5.34/4.13 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 5.34/4.13 inference(rewrite,[status(thm)],[])).
% 5.34/4.13 tff(19654,plain,
% 5.34/4.13 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil6(X))) <=> (loop | (~last(X)) | (~xuntil6(X))))),
% 5.34/4.13 inference(bind,[status(th)],[])).
% 5.34/4.13 tff(19655,plain,
% 5.34/4.13 (![X: $i] : ((loop | (~last(X))) | (~xuntil6(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 5.34/4.13 inference(quant_intro,[status(thm)],[19654])).
% 5.34/4.13 tff(19656,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty8')).
% 5.34/4.13 tff(19657,plain,
% 5.34/4.13 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19656, 19655])).
% 5.34/4.13 tff(19658,plain,
% 5.34/4.13 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19657, 19653])).
% 5.34/4.13 tff(19659,plain,(
% 5.34/4.13 ![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 5.34/4.13 inference(skolemize,[status(sab)],[19658])).
% 5.34/4.13 tff(19660,plain,
% 5.34/4.13 (![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19659, 19652])).
% 5.34/4.13 tff(19661,plain,
% 5.34/4.13 (((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s299)) | (~xuntil6(s299)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s299)) | (~xuntil6(s299)))),
% 5.34/4.13 inference(rewrite,[status(thm)],[])).
% 5.34/4.13 tff(19662,plain,
% 5.34/4.13 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | (loop | (~last(s299)) | (~xuntil6(s299)))),
% 5.34/4.13 inference(quant_inst,[status(thm)],[])).
% 5.34/4.13 tff(19663,plain,
% 5.34/4.13 ((~![X: $i] : (loop | (~last(X)) | (~xuntil6(X)))) | loop | (~last(s299)) | (~xuntil6(s299))),
% 5.34/4.13 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 5.34/4.13 tff(19664,plain,
% 5.34/4.13 (loop | (~xuntil6(s299))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19663, 12455, 19660])).
% 5.34/4.13 tff(19665,plain,
% 5.34/4.13 (~xuntil6(s299)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19664, 19632])).
% 5.34/4.13 tff(19666,plain,
% 5.34/4.13 (~until5(s299)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12442, 155, 19665, 19650])).
% 5.34/4.13 tff(19667,plain,
% 5.34/4.13 (~xuntil6(s298)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12429, 19666])).
% 5.34/4.13 tff(19668,plain,
% 5.34/4.13 (~until5(s298)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12341, 155, 19667, 19649])).
% 5.34/4.13 tff(19669,plain,
% 5.34/4.13 (~xuntil6(s297)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12360, 19668])).
% 5.34/4.13 tff(19670,plain,
% 5.34/4.13 (~always3(s297)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4293, 19648])).
% 5.34/4.13 tff(19671,plain,
% 5.34/4.13 (~node4(s297)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12347, 35, 19670])).
% 5.34/4.13 tff(19672,plain,
% 5.34/4.13 (xuntil6(s297) | (~until5(s297))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12354, 155, 19671])).
% 5.34/4.13 tff(19673,plain,
% 5.34/4.13 (~until5(s297)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19672, 19669])).
% 5.34/4.13 tff(19674,plain,
% 5.34/4.13 (~xuntil6(s296)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12327, 19673])).
% 5.34/4.13 tff(19675,plain,
% 5.34/4.13 (~always3(s296)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4305, 19670])).
% 5.34/4.13 tff(19676,plain,
% 5.34/4.13 (~node4(s296)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12314, 35, 19675])).
% 5.34/4.13 tff(19677,plain,
% 5.34/4.13 (xuntil6(s296) | (~until5(s296))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12321, 155, 19676])).
% 5.34/4.13 tff(19678,plain,
% 5.34/4.13 (~until5(s296)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19677, 19674])).
% 5.34/4.13 tff(19679,plain,
% 5.34/4.13 (~xuntil6(s295)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12310, 19678])).
% 5.34/4.13 tff(19680,plain,
% 5.34/4.13 (~always3(s295)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4317, 19675])).
% 5.34/4.13 tff(19681,plain,
% 5.34/4.13 (~node4(s295)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12268, 35, 19680])).
% 5.34/4.13 tff(19682,plain,
% 5.34/4.13 (xuntil6(s295) | (~until5(s295))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12304, 155, 19681])).
% 5.34/4.13 tff(19683,plain,
% 5.34/4.13 (~until5(s295)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19682, 19679])).
% 5.34/4.13 tff(19684,plain,
% 5.34/4.13 (~xuntil6(s294)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12259, 19683])).
% 5.34/4.13 tff(19685,plain,
% 5.34/4.13 (~always3(s294)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4329, 19680])).
% 5.34/4.13 tff(19686,plain,
% 5.34/4.13 (~node4(s294)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12246, 35, 19685])).
% 5.34/4.13 tff(19687,plain,
% 5.34/4.13 (xuntil6(s294) | (~until5(s294))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12253, 155, 19686])).
% 5.34/4.13 tff(19688,plain,
% 5.34/4.13 (~until5(s294)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19687, 19684])).
% 5.34/4.13 tff(19689,plain,
% 5.34/4.13 (~xuntil6(s293)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12242, 19688])).
% 5.34/4.13 tff(19690,plain,
% 5.34/4.13 (~always3(s293)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4341, 19685])).
% 5.34/4.13 tff(19691,plain,
% 5.34/4.13 (~node4(s293)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12200, 35, 19690])).
% 5.34/4.13 tff(19692,plain,
% 5.34/4.13 (xuntil6(s293) | (~until5(s293))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12236, 155, 19691])).
% 5.34/4.13 tff(19693,plain,
% 5.34/4.13 (~until5(s293)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19692, 19689])).
% 5.34/4.13 tff(19694,plain,
% 5.34/4.13 (~xuntil6(s292)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12191, 19693])).
% 5.34/4.13 tff(19695,plain,
% 5.34/4.13 (~always3(s292)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4353, 19690])).
% 5.34/4.13 tff(19696,plain,
% 5.34/4.13 (~node4(s292)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12178, 35, 19695])).
% 5.34/4.13 tff(19697,plain,
% 5.34/4.13 (xuntil6(s292) | (~until5(s292))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12185, 155, 19696])).
% 5.34/4.13 tff(19698,plain,
% 5.34/4.13 (~until5(s292)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19697, 19694])).
% 5.34/4.13 tff(19699,plain,
% 5.34/4.13 (~xuntil6(s291)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12174, 19698])).
% 5.34/4.13 tff(19700,plain,
% 5.34/4.13 (~always3(s291)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4365, 19695])).
% 5.34/4.13 tff(19701,plain,
% 5.34/4.13 (~node4(s291)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12161, 35, 19700])).
% 5.34/4.13 tff(19702,plain,
% 5.34/4.13 (xuntil6(s291) | (~until5(s291))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12168, 155, 19701])).
% 5.34/4.13 tff(19703,plain,
% 5.34/4.13 (~until5(s291)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19702, 19699])).
% 5.34/4.13 tff(19704,plain,
% 5.34/4.13 (~xuntil6(s290)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12157, 19703])).
% 5.34/4.13 tff(19705,plain,
% 5.34/4.13 (~always3(s290)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4377, 19700])).
% 5.34/4.13 tff(19706,plain,
% 5.34/4.13 (~node4(s290)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12144, 35, 19705])).
% 5.34/4.13 tff(19707,plain,
% 5.34/4.13 (xuntil6(s290) | (~until5(s290))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12151, 155, 19706])).
% 5.34/4.13 tff(19708,plain,
% 5.34/4.13 (~until5(s290)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19707, 19704])).
% 5.34/4.13 tff(19709,plain,
% 5.34/4.13 (~xuntil6(s289)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12140, 19708])).
% 5.34/4.13 tff(19710,plain,
% 5.34/4.13 (~always3(s289)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4389, 19705])).
% 5.34/4.13 tff(19711,plain,
% 5.34/4.13 (~node4(s289)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12045, 35, 19710])).
% 5.34/4.13 tff(19712,plain,
% 5.34/4.13 (xuntil6(s289) | (~until5(s289))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12052, 155, 19711])).
% 5.34/4.13 tff(19713,plain,
% 5.34/4.13 (~until5(s289)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19712, 19709])).
% 5.34/4.13 tff(19714,plain,
% 5.34/4.13 (~xuntil6(s288)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12071, 19713])).
% 5.34/4.13 tff(19715,plain,
% 5.34/4.13 (~always3(s288)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4401, 19710])).
% 5.34/4.13 tff(19716,plain,
% 5.34/4.13 (~node4(s288)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12058, 35, 19715])).
% 5.34/4.13 tff(19717,plain,
% 5.34/4.13 (xuntil6(s288) | (~until5(s288))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12065, 155, 19716])).
% 5.34/4.13 tff(19718,plain,
% 5.34/4.13 (~until5(s288)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19717, 19714])).
% 5.34/4.13 tff(19719,plain,
% 5.34/4.13 (~xuntil6(s287)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12038, 19718])).
% 5.34/4.13 tff(19720,plain,
% 5.34/4.13 (~always3(s287)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4413, 19715])).
% 5.34/4.13 tff(19721,plain,
% 5.34/4.13 (~node4(s287)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11812, 35, 19720])).
% 5.34/4.13 tff(19722,plain,
% 5.34/4.13 (xuntil6(s287) | (~until5(s287))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11820, 155, 19721])).
% 5.34/4.13 tff(19723,plain,
% 5.34/4.13 (~until5(s287)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19722, 19719])).
% 5.34/4.13 tff(19724,plain,
% 5.34/4.13 (~xuntil6(s286)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11826, 19723])).
% 5.34/4.13 tff(19725,plain,
% 5.34/4.13 (~always3(s286)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4425, 19720])).
% 5.34/4.13 tff(19726,plain,
% 5.34/4.13 (~node4(s286)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11808, 35, 19725])).
% 5.34/4.13 tff(19727,plain,
% 5.34/4.13 (xuntil6(s286) | (~until5(s286))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11833, 155, 19726])).
% 5.34/4.13 tff(19728,plain,
% 5.34/4.13 (~until5(s286)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19727, 19724])).
% 5.34/4.13 tff(19729,plain,
% 5.34/4.13 (~xuntil6(s285)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11838, 19728])).
% 5.34/4.13 tff(19730,plain,
% 5.34/4.13 (~always3(s285)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4437, 19725])).
% 5.34/4.13 tff(19731,plain,
% 5.34/4.13 (~node4(s285)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11843, 35, 19730])).
% 5.34/4.13 tff(19732,plain,
% 5.34/4.13 (xuntil6(s285) | (~until5(s285))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11850, 155, 19731])).
% 5.34/4.13 tff(19733,plain,
% 5.34/4.13 (~until5(s285)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19732, 19729])).
% 5.34/4.13 tff(19734,plain,
% 5.34/4.13 (~xuntil6(s284)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11856, 19733])).
% 5.34/4.13 tff(19735,plain,
% 5.34/4.13 (~always3(s284)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4449, 19730])).
% 5.34/4.13 tff(19736,plain,
% 5.34/4.13 (~node4(s284)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11861, 35, 19735])).
% 5.34/4.13 tff(19737,plain,
% 5.34/4.13 (xuntil6(s284) | (~until5(s284))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11868, 155, 19736])).
% 5.34/4.13 tff(19738,plain,
% 5.34/4.13 (~until5(s284)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19737, 19734])).
% 5.34/4.13 tff(19739,plain,
% 5.34/4.13 (~xuntil6(s283)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11874, 19738])).
% 5.34/4.13 tff(19740,plain,
% 5.34/4.13 (~always3(s283)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4461, 19735])).
% 5.34/4.13 tff(19741,plain,
% 5.34/4.13 (~node4(s283)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11879, 35, 19740])).
% 5.34/4.13 tff(19742,plain,
% 5.34/4.13 (xuntil6(s283) | (~until5(s283))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11886, 155, 19741])).
% 5.34/4.13 tff(19743,plain,
% 5.34/4.13 (~until5(s283)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19742, 19739])).
% 5.34/4.13 tff(19744,plain,
% 5.34/4.13 (~xuntil6(s282)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11892, 19743])).
% 5.34/4.13 tff(19745,plain,
% 5.34/4.13 (~always3(s282)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4473, 19740])).
% 5.34/4.13 tff(19746,plain,
% 5.34/4.13 (~node4(s282)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11897, 35, 19745])).
% 5.34/4.13 tff(19747,plain,
% 5.34/4.13 (xuntil6(s282) | (~until5(s282))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11904, 155, 19746])).
% 5.34/4.13 tff(19748,plain,
% 5.34/4.13 (~until5(s282)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19747, 19744])).
% 5.34/4.13 tff(19749,plain,
% 5.34/4.13 (~xuntil6(s281)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11910, 19748])).
% 5.34/4.13 tff(19750,plain,
% 5.34/4.13 (~always3(s281)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4485, 19745])).
% 5.34/4.13 tff(19751,plain,
% 5.34/4.13 (~node4(s281)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12023, 35, 19750])).
% 5.34/4.13 tff(19752,plain,
% 5.34/4.13 (xuntil6(s281) | (~until5(s281))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12030, 155, 19751])).
% 5.34/4.13 tff(19753,plain,
% 5.34/4.13 (~until5(s281)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19752, 19749])).
% 5.34/4.13 tff(19754,plain,
% 5.34/4.13 (~xuntil6(s280)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12019, 19753])).
% 5.34/4.13 tff(19755,plain,
% 5.34/4.13 (~always3(s280)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4497, 19750])).
% 5.34/4.13 tff(19756,plain,
% 5.34/4.13 (~node4(s280)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12006, 35, 19755])).
% 5.34/4.13 tff(19757,plain,
% 5.34/4.13 (xuntil6(s280) | (~until5(s280))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12013, 155, 19756])).
% 5.34/4.13 tff(19758,plain,
% 5.34/4.13 (~until5(s280)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19757, 19754])).
% 5.34/4.13 tff(19759,plain,
% 5.34/4.13 (~xuntil6(s279)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[12002, 19758])).
% 5.34/4.13 tff(19760,plain,
% 5.34/4.13 (~always3(s279)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4509, 19755])).
% 5.34/4.13 tff(19761,plain,
% 5.34/4.13 (~node4(s279)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11989, 35, 19760])).
% 5.34/4.13 tff(19762,plain,
% 5.34/4.13 (xuntil6(s279) | (~until5(s279))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11996, 155, 19761])).
% 5.34/4.13 tff(19763,plain,
% 5.34/4.13 (~until5(s279)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19762, 19759])).
% 5.34/4.13 tff(19764,plain,
% 5.34/4.13 (~xuntil6(s278)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11985, 19763])).
% 5.34/4.13 tff(19765,plain,
% 5.34/4.13 (~always3(s278)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4521, 19760])).
% 5.34/4.13 tff(19766,plain,
% 5.34/4.13 (~node4(s278)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11972, 35, 19765])).
% 5.34/4.13 tff(19767,plain,
% 5.34/4.13 (xuntil6(s278) | (~until5(s278))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11979, 155, 19766])).
% 5.34/4.13 tff(19768,plain,
% 5.34/4.13 (~until5(s278)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19767, 19764])).
% 5.34/4.13 tff(19769,plain,
% 5.34/4.13 (~xuntil6(s277)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11968, 19768])).
% 5.34/4.13 tff(19770,plain,
% 5.34/4.13 (~always3(s277)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4533, 19765])).
% 5.34/4.13 tff(19771,plain,
% 5.34/4.13 (~node4(s277)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11955, 35, 19770])).
% 5.34/4.13 tff(19772,plain,
% 5.34/4.13 (xuntil6(s277) | (~until5(s277))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11962, 155, 19771])).
% 5.34/4.13 tff(19773,plain,
% 5.34/4.13 (~until5(s277)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19772, 19769])).
% 5.34/4.13 tff(19774,plain,
% 5.34/4.13 (~xuntil6(s276)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11951, 19773])).
% 5.34/4.13 tff(19775,plain,
% 5.34/4.13 (~always3(s276)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4545, 19770])).
% 5.34/4.13 tff(19776,plain,
% 5.34/4.13 (~node4(s276)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11920, 35, 19775])).
% 5.34/4.13 tff(19777,plain,
% 5.34/4.13 (xuntil6(s276) | (~until5(s276))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11946, 155, 19776])).
% 5.34/4.13 tff(19778,plain,
% 5.34/4.13 (~until5(s276)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19777, 19774])).
% 5.34/4.13 tff(19779,plain,
% 5.34/4.13 (~xuntil6(s275)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11939, 19778])).
% 5.34/4.13 tff(19780,plain,
% 5.34/4.13 (~always3(s275)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4557, 19775])).
% 5.34/4.13 tff(19781,plain,
% 5.34/4.13 (~node4(s275)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11925, 35, 19780])).
% 5.34/4.13 tff(19782,plain,
% 5.34/4.13 (xuntil6(s275) | (~until5(s275))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11933, 155, 19781])).
% 5.34/4.13 tff(19783,plain,
% 5.34/4.13 (~until5(s275)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19782, 19779])).
% 5.34/4.13 tff(19784,plain,
% 5.34/4.13 (~xuntil6(s274)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11802, 19783])).
% 5.34/4.13 tff(19785,plain,
% 5.34/4.13 (~always3(s274)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4569, 19780])).
% 5.34/4.13 tff(19786,plain,
% 5.34/4.13 (~node4(s274)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11657, 35, 19785])).
% 5.34/4.13 tff(19787,plain,
% 5.34/4.13 (xuntil6(s274) | (~until5(s274))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11664, 155, 19786])).
% 5.34/4.13 tff(19788,plain,
% 5.34/4.13 (~until5(s274)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19787, 19784])).
% 5.34/4.13 tff(19789,plain,
% 5.34/4.13 (~xuntil6(s273)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11670, 19788])).
% 5.34/4.13 tff(19790,plain,
% 5.34/4.13 (~always3(s273)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4581, 19785])).
% 5.34/4.13 tff(19791,plain,
% 5.34/4.13 (~node4(s273)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11653, 35, 19790])).
% 5.34/4.13 tff(19792,plain,
% 5.34/4.13 (xuntil6(s273) | (~until5(s273))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11695, 155, 19791])).
% 5.34/4.13 tff(19793,plain,
% 5.34/4.13 (~until5(s273)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19792, 19789])).
% 5.34/4.13 tff(19794,plain,
% 5.34/4.13 (~xuntil6(s272)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11688, 19793])).
% 5.34/4.13 tff(19795,plain,
% 5.34/4.13 (~always3(s272)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4593, 19790])).
% 5.34/4.13 tff(19796,plain,
% 5.34/4.13 (~node4(s272)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11675, 35, 19795])).
% 5.34/4.13 tff(19797,plain,
% 5.34/4.13 (xuntil6(s272) | (~until5(s272))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11682, 155, 19796])).
% 5.34/4.13 tff(19798,plain,
% 5.34/4.13 (~until5(s272)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19797, 19794])).
% 5.34/4.13 tff(19799,plain,
% 5.34/4.13 (~xuntil6(s271)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11645, 19798])).
% 5.34/4.13 tff(19800,plain,
% 5.34/4.13 (~always3(s271)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4605, 19795])).
% 5.34/4.13 tff(19801,plain,
% 5.34/4.13 (~node4(s271)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11632, 35, 19800])).
% 5.34/4.13 tff(19802,plain,
% 5.34/4.13 (xuntil6(s271) | (~until5(s271))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11639, 155, 19801])).
% 5.34/4.13 tff(19803,plain,
% 5.34/4.13 (~until5(s271)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19802, 19799])).
% 5.34/4.13 tff(19804,plain,
% 5.34/4.13 (~xuntil6(s270)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11628, 19803])).
% 5.34/4.13 tff(19805,plain,
% 5.34/4.13 (~always3(s270)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4617, 19800])).
% 5.34/4.13 tff(19806,plain,
% 5.34/4.13 (~node4(s270)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11533, 35, 19805])).
% 5.34/4.13 tff(19807,plain,
% 5.34/4.13 (xuntil6(s270) | (~until5(s270))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11540, 155, 19806])).
% 5.34/4.13 tff(19808,plain,
% 5.34/4.13 (~until5(s270)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19807, 19804])).
% 5.34/4.13 tff(19809,plain,
% 5.34/4.13 (~xuntil6(s269)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11559, 19808])).
% 5.34/4.13 tff(19810,plain,
% 5.34/4.13 (~always3(s269)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4629, 19805])).
% 5.34/4.13 tff(19811,plain,
% 5.34/4.13 (~node4(s269)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11546, 35, 19810])).
% 5.34/4.13 tff(19812,plain,
% 5.34/4.13 (xuntil6(s269) | (~until5(s269))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11553, 155, 19811])).
% 5.34/4.13 tff(19813,plain,
% 5.34/4.13 (~until5(s269)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19812, 19809])).
% 5.34/4.13 tff(19814,plain,
% 5.34/4.13 (~xuntil6(s268)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11526, 19813])).
% 5.34/4.13 tff(19815,plain,
% 5.34/4.13 (~always3(s268)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4641, 19810])).
% 5.34/4.13 tff(19816,plain,
% 5.34/4.13 (~node4(s268)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11282, 35, 19815])).
% 5.34/4.13 tff(19817,plain,
% 5.34/4.13 (xuntil6(s268) | (~until5(s268))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11290, 155, 19816])).
% 5.34/4.13 tff(19818,plain,
% 5.34/4.13 (~until5(s268)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19817, 19814])).
% 5.34/4.13 tff(19819,plain,
% 5.34/4.13 (~xuntil6(s267)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11296, 19818])).
% 5.34/4.13 tff(19820,plain,
% 5.34/4.13 (~always3(s267)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4653, 19815])).
% 5.34/4.13 tff(19821,plain,
% 5.34/4.13 (~node4(s267)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11278, 35, 19820])).
% 5.34/4.13 tff(19822,plain,
% 5.34/4.13 (xuntil6(s267) | (~until5(s267))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11303, 155, 19821])).
% 5.34/4.13 tff(19823,plain,
% 5.34/4.13 (~until5(s267)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19822, 19819])).
% 5.34/4.13 tff(19824,plain,
% 5.34/4.13 (~xuntil6(s266)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11308, 19823])).
% 5.34/4.13 tff(19825,plain,
% 5.34/4.13 (~always3(s266)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4665, 19820])).
% 5.34/4.13 tff(19826,plain,
% 5.34/4.13 (~node4(s266)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11313, 35, 19825])).
% 5.34/4.13 tff(19827,plain,
% 5.34/4.13 (xuntil6(s266) | (~until5(s266))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11320, 155, 19826])).
% 5.34/4.13 tff(19828,plain,
% 5.34/4.13 (~until5(s266)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19827, 19824])).
% 5.34/4.13 tff(19829,plain,
% 5.34/4.13 (~xuntil6(s265)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11326, 19828])).
% 5.34/4.13 tff(19830,plain,
% 5.34/4.13 (~always3(s265)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4677, 19825])).
% 5.34/4.13 tff(19831,plain,
% 5.34/4.13 (~node4(s265)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11331, 35, 19830])).
% 5.34/4.13 tff(19832,plain,
% 5.34/4.13 (xuntil6(s265) | (~until5(s265))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11338, 155, 19831])).
% 5.34/4.13 tff(19833,plain,
% 5.34/4.13 (~until5(s265)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19832, 19829])).
% 5.34/4.13 tff(19834,plain,
% 5.34/4.13 (~xuntil6(s264)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11344, 19833])).
% 5.34/4.13 tff(19835,plain,
% 5.34/4.13 (~always3(s264)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4689, 19830])).
% 5.34/4.13 tff(19836,plain,
% 5.34/4.13 (~node4(s264)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11349, 35, 19835])).
% 5.34/4.13 tff(19837,plain,
% 5.34/4.13 (xuntil6(s264) | (~until5(s264))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11356, 155, 19836])).
% 5.34/4.13 tff(19838,plain,
% 5.34/4.13 (~until5(s264)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19837, 19834])).
% 5.34/4.13 tff(19839,plain,
% 5.34/4.13 (~xuntil6(s263)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11362, 19838])).
% 5.34/4.13 tff(19840,plain,
% 5.34/4.13 (~always3(s263)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4701, 19835])).
% 5.34/4.13 tff(19841,plain,
% 5.34/4.13 (~node4(s263)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11367, 35, 19840])).
% 5.34/4.13 tff(19842,plain,
% 5.34/4.13 (xuntil6(s263) | (~until5(s263))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11374, 155, 19841])).
% 5.34/4.13 tff(19843,plain,
% 5.34/4.13 (~until5(s263)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19842, 19839])).
% 5.34/4.13 tff(19844,plain,
% 5.34/4.13 (~xuntil6(s262)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11380, 19843])).
% 5.34/4.13 tff(19845,plain,
% 5.34/4.13 (~always3(s262)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4713, 19840])).
% 5.34/4.13 tff(19846,plain,
% 5.34/4.13 (~node4(s262)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11385, 35, 19845])).
% 5.34/4.13 tff(19847,plain,
% 5.34/4.13 (xuntil6(s262) | (~until5(s262))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11392, 155, 19846])).
% 5.34/4.13 tff(19848,plain,
% 5.34/4.13 (~until5(s262)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19847, 19844])).
% 5.34/4.13 tff(19849,plain,
% 5.34/4.13 (~xuntil6(s261)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11519, 19848])).
% 5.34/4.13 tff(19850,plain,
% 5.34/4.13 (~always3(s261)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4725, 19845])).
% 5.34/4.13 tff(19851,plain,
% 5.34/4.13 (~node4(s261)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11506, 35, 19850])).
% 5.34/4.13 tff(19852,plain,
% 5.34/4.13 (xuntil6(s261) | (~until5(s261))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11513, 155, 19851])).
% 5.34/4.13 tff(19853,plain,
% 5.34/4.13 (~until5(s261)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19852, 19849])).
% 5.34/4.13 tff(19854,plain,
% 5.34/4.13 (~xuntil6(s260)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11502, 19853])).
% 5.34/4.13 tff(19855,plain,
% 5.34/4.13 (~always3(s260)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4737, 19850])).
% 5.34/4.13 tff(19856,plain,
% 5.34/4.13 (~node4(s260)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11489, 35, 19855])).
% 5.34/4.13 tff(19857,plain,
% 5.34/4.13 (xuntil6(s260) | (~until5(s260))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11496, 155, 19856])).
% 5.34/4.13 tff(19858,plain,
% 5.34/4.13 (~until5(s260)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19857, 19854])).
% 5.34/4.13 tff(19859,plain,
% 5.34/4.13 (~xuntil6(s259)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11485, 19858])).
% 5.34/4.13 tff(19860,plain,
% 5.34/4.13 (~always3(s259)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4749, 19855])).
% 5.34/4.13 tff(19861,plain,
% 5.34/4.13 (~node4(s259)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11472, 35, 19860])).
% 5.34/4.13 tff(19862,plain,
% 5.34/4.13 (xuntil6(s259) | (~until5(s259))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11479, 155, 19861])).
% 5.34/4.13 tff(19863,plain,
% 5.34/4.13 (~until5(s259)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19862, 19859])).
% 5.34/4.13 tff(19864,plain,
% 5.34/4.13 (~xuntil6(s258)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11468, 19863])).
% 5.34/4.13 tff(19865,plain,
% 5.34/4.13 (~always3(s258)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4761, 19860])).
% 5.34/4.13 tff(19866,plain,
% 5.34/4.13 (~node4(s258)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11455, 35, 19865])).
% 5.34/4.13 tff(19867,plain,
% 5.34/4.13 (xuntil6(s258) | (~until5(s258))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11462, 155, 19866])).
% 5.34/4.13 tff(19868,plain,
% 5.34/4.13 (~until5(s258)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19867, 19864])).
% 5.34/4.13 tff(19869,plain,
% 5.34/4.13 (~xuntil6(s257)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11451, 19868])).
% 5.34/4.13 tff(19870,plain,
% 5.34/4.13 (~always3(s257)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4773, 19865])).
% 5.34/4.13 tff(19871,plain,
% 5.34/4.13 (~node4(s257)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11438, 35, 19870])).
% 5.34/4.13 tff(19872,plain,
% 5.34/4.13 (xuntil6(s257) | (~until5(s257))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11445, 155, 19871])).
% 5.34/4.13 tff(19873,plain,
% 5.34/4.13 (~until5(s257)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19872, 19869])).
% 5.34/4.13 tff(19874,plain,
% 5.34/4.13 (~xuntil6(s256)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11434, 19873])).
% 5.34/4.13 tff(19875,plain,
% 5.34/4.13 (~always3(s256)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4785, 19870])).
% 5.34/4.13 tff(19876,plain,
% 5.34/4.13 (~node4(s256)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11403, 35, 19875])).
% 5.34/4.13 tff(19877,plain,
% 5.34/4.13 (xuntil6(s256) | (~until5(s256))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11429, 155, 19876])).
% 5.34/4.13 tff(19878,plain,
% 5.34/4.13 (~until5(s256)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19877, 19874])).
% 5.34/4.13 tff(19879,plain,
% 5.34/4.13 (~xuntil6(s255)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11422, 19878])).
% 5.34/4.13 tff(19880,plain,
% 5.34/4.13 (~always3(s255)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4797, 19875])).
% 5.34/4.13 tff(19881,plain,
% 5.34/4.13 (~node4(s255)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11408, 35, 19880])).
% 5.34/4.13 tff(19882,plain,
% 5.34/4.13 (xuntil6(s255) | (~until5(s255))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11416, 155, 19881])).
% 5.34/4.13 tff(19883,plain,
% 5.34/4.13 (~until5(s255)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19882, 19879])).
% 5.34/4.13 tff(19884,plain,
% 5.34/4.13 (~xuntil6(s254)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11272, 19883])).
% 5.34/4.13 tff(19885,plain,
% 5.34/4.13 (~always3(s254)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4809, 19880])).
% 5.34/4.13 tff(19886,plain,
% 5.34/4.13 (~node4(s254)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11259, 35, 19885])).
% 5.34/4.13 tff(19887,plain,
% 5.34/4.13 (xuntil6(s254) | (~until5(s254))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11266, 155, 19886])).
% 5.34/4.13 tff(19888,plain,
% 5.34/4.13 (~until5(s254)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19887, 19884])).
% 5.34/4.13 tff(19889,plain,
% 5.34/4.13 (~xuntil6(s253)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11255, 19888])).
% 5.34/4.13 tff(19890,plain,
% 5.34/4.13 (~always3(s253)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4821, 19885])).
% 5.34/4.13 tff(19891,plain,
% 5.34/4.13 (~node4(s253)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11242, 35, 19890])).
% 5.34/4.13 tff(19892,plain,
% 5.34/4.13 (xuntil6(s253) | (~until5(s253))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11249, 155, 19891])).
% 5.34/4.13 tff(19893,plain,
% 5.34/4.13 (~until5(s253)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19892, 19889])).
% 5.34/4.13 tff(19894,plain,
% 5.34/4.13 (~xuntil6(s252)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11238, 19893])).
% 5.34/4.13 tff(19895,plain,
% 5.34/4.13 (~always3(s252)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4833, 19890])).
% 5.34/4.13 tff(19896,plain,
% 5.34/4.13 (~node4(s252)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11225, 35, 19895])).
% 5.34/4.13 tff(19897,plain,
% 5.34/4.13 (xuntil6(s252) | (~until5(s252))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11232, 155, 19896])).
% 5.34/4.13 tff(19898,plain,
% 5.34/4.13 (~until5(s252)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19897, 19894])).
% 5.34/4.13 tff(19899,plain,
% 5.34/4.13 (~xuntil6(s251)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11221, 19898])).
% 5.34/4.13 tff(19900,plain,
% 5.34/4.13 (~always3(s251)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4845, 19895])).
% 5.34/4.13 tff(19901,plain,
% 5.34/4.13 (~node4(s251)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11208, 35, 19900])).
% 5.34/4.13 tff(19902,plain,
% 5.34/4.13 (xuntil6(s251) | (~until5(s251))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11215, 155, 19901])).
% 5.34/4.13 tff(19903,plain,
% 5.34/4.13 (~until5(s251)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19902, 19899])).
% 5.34/4.13 tff(19904,plain,
% 5.34/4.13 (~xuntil6(s250)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11204, 19903])).
% 5.34/4.13 tff(19905,plain,
% 5.34/4.13 (~always3(s250)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4857, 19900])).
% 5.34/4.13 tff(19906,plain,
% 5.34/4.13 (~node4(s250)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11191, 35, 19905])).
% 5.34/4.13 tff(19907,plain,
% 5.34/4.13 (xuntil6(s250) | (~until5(s250))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11198, 155, 19906])).
% 5.34/4.13 tff(19908,plain,
% 5.34/4.13 (~until5(s250)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19907, 19904])).
% 5.34/4.13 tff(19909,plain,
% 5.34/4.13 (~xuntil6(s249)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11187, 19908])).
% 5.34/4.13 tff(19910,plain,
% 5.34/4.13 (~always3(s249)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4869, 19905])).
% 5.34/4.13 tff(19911,plain,
% 5.34/4.13 (~node4(s249)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11174, 35, 19910])).
% 5.34/4.13 tff(19912,plain,
% 5.34/4.13 (xuntil6(s249) | (~until5(s249))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11181, 155, 19911])).
% 5.34/4.13 tff(19913,plain,
% 5.34/4.13 (~until5(s249)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19912, 19909])).
% 5.34/4.13 tff(19914,plain,
% 5.34/4.13 (~xuntil6(s248)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11170, 19913])).
% 5.34/4.13 tff(19915,plain,
% 5.34/4.13 (~always3(s248)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4881, 19910])).
% 5.34/4.13 tff(19916,plain,
% 5.34/4.13 (~node4(s248)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11157, 35, 19915])).
% 5.34/4.13 tff(19917,plain,
% 5.34/4.13 (xuntil6(s248) | (~until5(s248))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11164, 155, 19916])).
% 5.34/4.13 tff(19918,plain,
% 5.34/4.13 (~until5(s248)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19917, 19914])).
% 5.34/4.13 tff(19919,plain,
% 5.34/4.13 (~xuntil6(s247)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11153, 19918])).
% 5.34/4.13 tff(19920,plain,
% 5.34/4.13 (~always3(s247)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4893, 19915])).
% 5.34/4.13 tff(19921,plain,
% 5.34/4.13 (~node4(s247)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11140, 35, 19920])).
% 5.34/4.13 tff(19922,plain,
% 5.34/4.13 (xuntil6(s247) | (~until5(s247))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11147, 155, 19921])).
% 5.34/4.13 tff(19923,plain,
% 5.34/4.13 (~until5(s247)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19922, 19919])).
% 5.34/4.13 tff(19924,plain,
% 5.34/4.13 (~xuntil6(s246)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11136, 19923])).
% 5.34/4.13 tff(19925,plain,
% 5.34/4.13 (~always3(s246)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4905, 19920])).
% 5.34/4.13 tff(19926,plain,
% 5.34/4.13 (~node4(s246)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11123, 35, 19925])).
% 5.34/4.13 tff(19927,plain,
% 5.34/4.13 (xuntil6(s246) | (~until5(s246))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11130, 155, 19926])).
% 5.34/4.13 tff(19928,plain,
% 5.34/4.13 (~until5(s246)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19927, 19924])).
% 5.34/4.13 tff(19929,plain,
% 5.34/4.13 (~xuntil6(s245)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11119, 19928])).
% 5.34/4.13 tff(19930,plain,
% 5.34/4.13 (~always3(s245)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4917, 19925])).
% 5.34/4.13 tff(19931,plain,
% 5.34/4.13 (~node4(s245)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11106, 35, 19930])).
% 5.34/4.13 tff(19932,plain,
% 5.34/4.13 (xuntil6(s245) | (~until5(s245))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11113, 155, 19931])).
% 5.34/4.13 tff(19933,plain,
% 5.34/4.13 (~until5(s245)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19932, 19929])).
% 5.34/4.13 tff(19934,plain,
% 5.34/4.13 (~xuntil6(s244)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11102, 19933])).
% 5.34/4.13 tff(19935,plain,
% 5.34/4.13 (~always3(s244)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4929, 19930])).
% 5.34/4.13 tff(19936,plain,
% 5.34/4.13 (~node4(s244)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11089, 35, 19935])).
% 5.34/4.13 tff(19937,plain,
% 5.34/4.13 (xuntil6(s244) | (~until5(s244))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11096, 155, 19936])).
% 5.34/4.13 tff(19938,plain,
% 5.34/4.13 (~until5(s244)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19937, 19934])).
% 5.34/4.13 tff(19939,plain,
% 5.34/4.13 (~xuntil6(s243)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11085, 19938])).
% 5.34/4.13 tff(19940,plain,
% 5.34/4.13 (~always3(s243)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4941, 19935])).
% 5.34/4.13 tff(19941,plain,
% 5.34/4.13 (~node4(s243)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11072, 35, 19940])).
% 5.34/4.13 tff(19942,plain,
% 5.34/4.13 (xuntil6(s243) | (~until5(s243))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11079, 155, 19941])).
% 5.34/4.13 tff(19943,plain,
% 5.34/4.13 (~until5(s243)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19942, 19939])).
% 5.34/4.13 tff(19944,plain,
% 5.34/4.13 (~xuntil6(s242)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11068, 19943])).
% 5.34/4.13 tff(19945,plain,
% 5.34/4.13 (~always3(s242)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4953, 19940])).
% 5.34/4.13 tff(19946,plain,
% 5.34/4.13 (~node4(s242)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11055, 35, 19945])).
% 5.34/4.13 tff(19947,plain,
% 5.34/4.13 (xuntil6(s242) | (~until5(s242))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11062, 155, 19946])).
% 5.34/4.13 tff(19948,plain,
% 5.34/4.13 (~until5(s242)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19947, 19944])).
% 5.34/4.13 tff(19949,plain,
% 5.34/4.13 (~xuntil6(s241)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11051, 19948])).
% 5.34/4.13 tff(19950,plain,
% 5.34/4.13 (~always3(s241)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4965, 19945])).
% 5.34/4.13 tff(19951,plain,
% 5.34/4.13 (~node4(s241)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11038, 35, 19950])).
% 5.34/4.13 tff(19952,plain,
% 5.34/4.13 (xuntil6(s241) | (~until5(s241))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11045, 155, 19951])).
% 5.34/4.13 tff(19953,plain,
% 5.34/4.13 (~until5(s241)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19952, 19949])).
% 5.34/4.13 tff(19954,plain,
% 5.34/4.13 (~xuntil6(s240)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11034, 19953])).
% 5.34/4.13 tff(19955,plain,
% 5.34/4.13 (~always3(s240)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4977, 19950])).
% 5.34/4.13 tff(19956,plain,
% 5.34/4.13 (~node4(s240)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11021, 35, 19955])).
% 5.34/4.13 tff(19957,plain,
% 5.34/4.13 (xuntil6(s240) | (~until5(s240))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11028, 155, 19956])).
% 5.34/4.13 tff(19958,plain,
% 5.34/4.13 (~until5(s240)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19957, 19954])).
% 5.34/4.13 tff(19959,plain,
% 5.34/4.13 (~xuntil6(s239)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11017, 19958])).
% 5.34/4.13 tff(19960,plain,
% 5.34/4.13 (~always3(s239)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[4989, 19955])).
% 5.34/4.13 tff(19961,plain,
% 5.34/4.13 (~node4(s239)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11004, 35, 19960])).
% 5.34/4.13 tff(19962,plain,
% 5.34/4.13 (xuntil6(s239) | (~until5(s239))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11011, 155, 19961])).
% 5.34/4.13 tff(19963,plain,
% 5.34/4.13 (~until5(s239)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19962, 19959])).
% 5.34/4.13 tff(19964,plain,
% 5.34/4.13 (~xuntil6(s238)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[11000, 19963])).
% 5.34/4.13 tff(19965,plain,
% 5.34/4.13 (~always3(s238)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5001, 19960])).
% 5.34/4.13 tff(19966,plain,
% 5.34/4.13 (~node4(s238)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10987, 35, 19965])).
% 5.34/4.13 tff(19967,plain,
% 5.34/4.13 (xuntil6(s238) | (~until5(s238))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10994, 155, 19966])).
% 5.34/4.13 tff(19968,plain,
% 5.34/4.13 (~until5(s238)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19967, 19964])).
% 5.34/4.13 tff(19969,plain,
% 5.34/4.13 (~xuntil6(s237)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10983, 19968])).
% 5.34/4.13 tff(19970,plain,
% 5.34/4.13 (~always3(s237)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5013, 19965])).
% 5.34/4.13 tff(19971,plain,
% 5.34/4.13 (~node4(s237)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10970, 35, 19970])).
% 5.34/4.13 tff(19972,plain,
% 5.34/4.13 (xuntil6(s237) | (~until5(s237))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10977, 155, 19971])).
% 5.34/4.13 tff(19973,plain,
% 5.34/4.13 (~until5(s237)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19972, 19969])).
% 5.34/4.13 tff(19974,plain,
% 5.34/4.13 (~xuntil6(s236)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10966, 19973])).
% 5.34/4.13 tff(19975,plain,
% 5.34/4.13 (~always3(s236)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5025, 19970])).
% 5.34/4.13 tff(19976,plain,
% 5.34/4.13 (~node4(s236)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10953, 35, 19975])).
% 5.34/4.13 tff(19977,plain,
% 5.34/4.13 (xuntil6(s236) | (~until5(s236))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10960, 155, 19976])).
% 5.34/4.13 tff(19978,plain,
% 5.34/4.13 (~until5(s236)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19977, 19974])).
% 5.34/4.13 tff(19979,plain,
% 5.34/4.13 (~xuntil6(s235)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10949, 19978])).
% 5.34/4.13 tff(19980,plain,
% 5.34/4.13 (~always3(s235)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5037, 19975])).
% 5.34/4.13 tff(19981,plain,
% 5.34/4.13 (~node4(s235)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10705, 35, 19980])).
% 5.34/4.13 tff(19982,plain,
% 5.34/4.13 (xuntil6(s235) | (~until5(s235))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10713, 155, 19981])).
% 5.34/4.13 tff(19983,plain,
% 5.34/4.13 (~until5(s235)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19982, 19979])).
% 5.34/4.13 tff(19984,plain,
% 5.34/4.13 (~xuntil6(s234)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10719, 19983])).
% 5.34/4.13 tff(19985,plain,
% 5.34/4.13 (~always3(s234)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5049, 19980])).
% 5.34/4.13 tff(19986,plain,
% 5.34/4.13 (~node4(s234)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10701, 35, 19985])).
% 5.34/4.13 tff(19987,plain,
% 5.34/4.13 (xuntil6(s234) | (~until5(s234))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10726, 155, 19986])).
% 5.34/4.13 tff(19988,plain,
% 5.34/4.13 (~until5(s234)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19987, 19984])).
% 5.34/4.13 tff(19989,plain,
% 5.34/4.13 (~xuntil6(s233)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10731, 19988])).
% 5.34/4.13 tff(19990,plain,
% 5.34/4.13 (~always3(s233)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5061, 19985])).
% 5.34/4.13 tff(19991,plain,
% 5.34/4.13 (~node4(s233)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10736, 35, 19990])).
% 5.34/4.13 tff(19992,plain,
% 5.34/4.13 (xuntil6(s233) | (~until5(s233))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10743, 155, 19991])).
% 5.34/4.13 tff(19993,plain,
% 5.34/4.13 (~until5(s233)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19992, 19989])).
% 5.34/4.13 tff(19994,plain,
% 5.34/4.13 (~xuntil6(s232)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10749, 19993])).
% 5.34/4.13 tff(19995,plain,
% 5.34/4.13 (~always3(s232)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5073, 19990])).
% 5.34/4.13 tff(19996,plain,
% 5.34/4.13 (~node4(s232)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10754, 35, 19995])).
% 5.34/4.13 tff(19997,plain,
% 5.34/4.13 (xuntil6(s232) | (~until5(s232))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10761, 155, 19996])).
% 5.34/4.13 tff(19998,plain,
% 5.34/4.13 (~until5(s232)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[19997, 19994])).
% 5.34/4.13 tff(19999,plain,
% 5.34/4.13 (~xuntil6(s231)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10767, 19998])).
% 5.34/4.13 tff(20000,plain,
% 5.34/4.13 (~always3(s231)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5085, 19995])).
% 5.34/4.13 tff(20001,plain,
% 5.34/4.13 (~node4(s231)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10772, 35, 20000])).
% 5.34/4.13 tff(20002,plain,
% 5.34/4.13 (xuntil6(s231) | (~until5(s231))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10779, 155, 20001])).
% 5.34/4.13 tff(20003,plain,
% 5.34/4.13 (~until5(s231)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20002, 19999])).
% 5.34/4.13 tff(20004,plain,
% 5.34/4.13 (~xuntil6(s230)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10785, 20003])).
% 5.34/4.13 tff(20005,plain,
% 5.34/4.13 (~always3(s230)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5097, 20000])).
% 5.34/4.13 tff(20006,plain,
% 5.34/4.13 (~node4(s230)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10790, 35, 20005])).
% 5.34/4.13 tff(20007,plain,
% 5.34/4.13 (xuntil6(s230) | (~until5(s230))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10797, 155, 20006])).
% 5.34/4.13 tff(20008,plain,
% 5.34/4.13 (~until5(s230)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20007, 20004])).
% 5.34/4.13 tff(20009,plain,
% 5.34/4.13 (~xuntil6(s229)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10803, 20008])).
% 5.34/4.13 tff(20010,plain,
% 5.34/4.13 (~always3(s229)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5109, 20005])).
% 5.34/4.13 tff(20011,plain,
% 5.34/4.13 (~node4(s229)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10808, 35, 20010])).
% 5.34/4.13 tff(20012,plain,
% 5.34/4.13 (xuntil6(s229) | (~until5(s229))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10815, 155, 20011])).
% 5.34/4.13 tff(20013,plain,
% 5.34/4.13 (~until5(s229)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20012, 20009])).
% 5.34/4.13 tff(20014,plain,
% 5.34/4.13 (~xuntil6(s228)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10942, 20013])).
% 5.34/4.13 tff(20015,plain,
% 5.34/4.13 (~always3(s228)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5121, 20010])).
% 5.34/4.13 tff(20016,plain,
% 5.34/4.13 (~node4(s228)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10929, 35, 20015])).
% 5.34/4.13 tff(20017,plain,
% 5.34/4.13 (xuntil6(s228) | (~until5(s228))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10936, 155, 20016])).
% 5.34/4.13 tff(20018,plain,
% 5.34/4.13 (~until5(s228)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20017, 20014])).
% 5.34/4.13 tff(20019,plain,
% 5.34/4.13 (~xuntil6(s227)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10925, 20018])).
% 5.34/4.13 tff(20020,plain,
% 5.34/4.13 (~always3(s227)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5133, 20015])).
% 5.34/4.13 tff(20021,plain,
% 5.34/4.13 (~node4(s227)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10912, 35, 20020])).
% 5.34/4.13 tff(20022,plain,
% 5.34/4.13 (xuntil6(s227) | (~until5(s227))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10919, 155, 20021])).
% 5.34/4.13 tff(20023,plain,
% 5.34/4.13 (~until5(s227)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20022, 20019])).
% 5.34/4.13 tff(20024,plain,
% 5.34/4.13 (~xuntil6(s226)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10908, 20023])).
% 5.34/4.13 tff(20025,plain,
% 5.34/4.13 (~always3(s226)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5145, 20020])).
% 5.34/4.13 tff(20026,plain,
% 5.34/4.13 (~node4(s226)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10895, 35, 20025])).
% 5.34/4.13 tff(20027,plain,
% 5.34/4.13 (xuntil6(s226) | (~until5(s226))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10902, 155, 20026])).
% 5.34/4.13 tff(20028,plain,
% 5.34/4.13 (~until5(s226)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20027, 20024])).
% 5.34/4.13 tff(20029,plain,
% 5.34/4.13 (~xuntil6(s225)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10891, 20028])).
% 5.34/4.13 tff(20030,plain,
% 5.34/4.13 (~always3(s225)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5157, 20025])).
% 5.34/4.13 tff(20031,plain,
% 5.34/4.13 (~node4(s225)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10878, 35, 20030])).
% 5.34/4.13 tff(20032,plain,
% 5.34/4.13 (xuntil6(s225) | (~until5(s225))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10885, 155, 20031])).
% 5.34/4.13 tff(20033,plain,
% 5.34/4.13 (~until5(s225)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20032, 20029])).
% 5.34/4.13 tff(20034,plain,
% 5.34/4.13 (~xuntil6(s224)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10874, 20033])).
% 5.34/4.13 tff(20035,plain,
% 5.34/4.13 (~always3(s224)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5169, 20030])).
% 5.34/4.13 tff(20036,plain,
% 5.34/4.13 (~node4(s224)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10861, 35, 20035])).
% 5.34/4.13 tff(20037,plain,
% 5.34/4.13 (xuntil6(s224) | (~until5(s224))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10868, 155, 20036])).
% 5.34/4.13 tff(20038,plain,
% 5.34/4.13 (~until5(s224)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20037, 20034])).
% 5.34/4.13 tff(20039,plain,
% 5.34/4.13 (~xuntil6(s223)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10857, 20038])).
% 5.34/4.13 tff(20040,plain,
% 5.34/4.13 (~always3(s223)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5181, 20035])).
% 5.34/4.13 tff(20041,plain,
% 5.34/4.13 (~node4(s223)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10826, 35, 20040])).
% 5.34/4.13 tff(20042,plain,
% 5.34/4.13 (xuntil6(s223) | (~until5(s223))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10852, 155, 20041])).
% 5.34/4.13 tff(20043,plain,
% 5.34/4.13 (~until5(s223)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20042, 20039])).
% 5.34/4.13 tff(20044,plain,
% 5.34/4.13 (~xuntil6(s222)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10845, 20043])).
% 5.34/4.13 tff(20045,plain,
% 5.34/4.13 (~always3(s222)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5193, 20040])).
% 5.34/4.13 tff(20046,plain,
% 5.34/4.13 (~node4(s222)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10831, 35, 20045])).
% 5.34/4.13 tff(20047,plain,
% 5.34/4.13 (xuntil6(s222) | (~until5(s222))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10839, 155, 20046])).
% 5.34/4.13 tff(20048,plain,
% 5.34/4.13 (~until5(s222)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20047, 20044])).
% 5.34/4.13 tff(20049,plain,
% 5.34/4.13 (~xuntil6(s221)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10695, 20048])).
% 5.34/4.13 tff(20050,plain,
% 5.34/4.13 (~always3(s221)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5205, 20045])).
% 5.34/4.13 tff(20051,plain,
% 5.34/4.13 (~node4(s221)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10682, 35, 20050])).
% 5.34/4.13 tff(20052,plain,
% 5.34/4.13 (xuntil6(s221) | (~until5(s221))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10689, 155, 20051])).
% 5.34/4.13 tff(20053,plain,
% 5.34/4.13 (~until5(s221)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20052, 20049])).
% 5.34/4.13 tff(20054,plain,
% 5.34/4.13 (~xuntil6(s220)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10678, 20053])).
% 5.34/4.13 tff(20055,plain,
% 5.34/4.13 (~always3(s220)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5217, 20050])).
% 5.34/4.13 tff(20056,plain,
% 5.34/4.13 (~node4(s220)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10344, 35, 20055])).
% 5.34/4.13 tff(20057,plain,
% 5.34/4.13 (xuntil6(s220) | (~until5(s220))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10352, 155, 20056])).
% 5.34/4.13 tff(20058,plain,
% 5.34/4.13 (~until5(s220)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20057, 20054])).
% 5.34/4.13 tff(20059,plain,
% 5.34/4.13 (~xuntil6(s219)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10358, 20058])).
% 5.34/4.13 tff(20060,plain,
% 5.34/4.13 (~always3(s219)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5229, 20055])).
% 5.34/4.13 tff(20061,plain,
% 5.34/4.13 (~node4(s219)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10340, 35, 20060])).
% 5.34/4.13 tff(20062,plain,
% 5.34/4.13 (xuntil6(s219) | (~until5(s219))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10365, 155, 20061])).
% 5.34/4.13 tff(20063,plain,
% 5.34/4.13 (~until5(s219)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20062, 20059])).
% 5.34/4.13 tff(20064,plain,
% 5.34/4.13 (~xuntil6(s218)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10370, 20063])).
% 5.34/4.13 tff(20065,plain,
% 5.34/4.13 (~always3(s218)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5241, 20060])).
% 5.34/4.13 tff(20066,plain,
% 5.34/4.13 (~node4(s218)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10375, 35, 20065])).
% 5.34/4.13 tff(20067,plain,
% 5.34/4.13 (xuntil6(s218) | (~until5(s218))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10382, 155, 20066])).
% 5.34/4.13 tff(20068,plain,
% 5.34/4.13 (~until5(s218)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20067, 20064])).
% 5.34/4.13 tff(20069,plain,
% 5.34/4.13 (~xuntil6(s217)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10388, 20068])).
% 5.34/4.13 tff(20070,plain,
% 5.34/4.13 (~always3(s217)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5253, 20065])).
% 5.34/4.13 tff(20071,plain,
% 5.34/4.13 (~node4(s217)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10393, 35, 20070])).
% 5.34/4.13 tff(20072,plain,
% 5.34/4.13 (xuntil6(s217) | (~until5(s217))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10400, 155, 20071])).
% 5.34/4.13 tff(20073,plain,
% 5.34/4.13 (~until5(s217)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20072, 20069])).
% 5.34/4.13 tff(20074,plain,
% 5.34/4.13 (~xuntil6(s216)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10406, 20073])).
% 5.34/4.13 tff(20075,plain,
% 5.34/4.13 (~always3(s216)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5265, 20070])).
% 5.34/4.13 tff(20076,plain,
% 5.34/4.13 (~node4(s216)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10411, 35, 20075])).
% 5.34/4.13 tff(20077,plain,
% 5.34/4.13 (xuntil6(s216) | (~until5(s216))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10418, 155, 20076])).
% 5.34/4.13 tff(20078,plain,
% 5.34/4.13 (~until5(s216)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20077, 20074])).
% 5.34/4.13 tff(20079,plain,
% 5.34/4.13 (~xuntil6(s215)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10424, 20078])).
% 5.34/4.13 tff(20080,plain,
% 5.34/4.13 (~always3(s215)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5277, 20075])).
% 5.34/4.13 tff(20081,plain,
% 5.34/4.13 (~node4(s215)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10429, 35, 20080])).
% 5.34/4.13 tff(20082,plain,
% 5.34/4.13 (xuntil6(s215) | (~until5(s215))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10436, 155, 20081])).
% 5.34/4.13 tff(20083,plain,
% 5.34/4.13 (~until5(s215)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20082, 20079])).
% 5.34/4.13 tff(20084,plain,
% 5.34/4.13 (~xuntil6(s214)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10442, 20083])).
% 5.34/4.13 tff(20085,plain,
% 5.34/4.13 (~always3(s214)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5289, 20080])).
% 5.34/4.13 tff(20086,plain,
% 5.34/4.13 (~node4(s214)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10447, 35, 20085])).
% 5.34/4.13 tff(20087,plain,
% 5.34/4.13 (xuntil6(s214) | (~until5(s214))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10454, 155, 20086])).
% 5.34/4.13 tff(20088,plain,
% 5.34/4.13 (~until5(s214)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20087, 20084])).
% 5.34/4.13 tff(20089,plain,
% 5.34/4.13 (~xuntil6(s213)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10460, 20088])).
% 5.34/4.13 tff(20090,plain,
% 5.34/4.13 (~always3(s213)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5301, 20085])).
% 5.34/4.13 tff(20091,plain,
% 5.34/4.13 (~node4(s213)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10465, 35, 20090])).
% 5.34/4.13 tff(20092,plain,
% 5.34/4.13 (xuntil6(s213) | (~until5(s213))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10472, 155, 20091])).
% 5.34/4.13 tff(20093,plain,
% 5.34/4.13 (~until5(s213)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20092, 20089])).
% 5.34/4.13 tff(20094,plain,
% 5.34/4.13 (~xuntil6(s212)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10478, 20093])).
% 5.34/4.13 tff(20095,plain,
% 5.34/4.13 (~always3(s212)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5313, 20090])).
% 5.34/4.13 tff(20096,plain,
% 5.34/4.13 (~node4(s212)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10483, 35, 20095])).
% 5.34/4.13 tff(20097,plain,
% 5.34/4.13 (xuntil6(s212) | (~until5(s212))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10490, 155, 20096])).
% 5.34/4.13 tff(20098,plain,
% 5.34/4.13 (~until5(s212)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20097, 20094])).
% 5.34/4.13 tff(20099,plain,
% 5.34/4.13 (~xuntil6(s211)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10496, 20098])).
% 5.34/4.13 tff(20100,plain,
% 5.34/4.13 (~always3(s211)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5325, 20095])).
% 5.34/4.13 tff(20101,plain,
% 5.34/4.13 (~node4(s211)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10663, 35, 20100])).
% 5.34/4.13 tff(20102,plain,
% 5.34/4.13 (xuntil6(s211) | (~until5(s211))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10670, 155, 20101])).
% 5.34/4.13 tff(20103,plain,
% 5.34/4.13 (~until5(s211)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20102, 20099])).
% 5.34/4.13 tff(20104,plain,
% 5.34/4.13 (~xuntil6(s210)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10659, 20103])).
% 5.34/4.13 tff(20105,plain,
% 5.34/4.13 (~always3(s210)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5337, 20100])).
% 5.34/4.13 tff(20106,plain,
% 5.34/4.13 (~node4(s210)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10646, 35, 20105])).
% 5.34/4.13 tff(20107,plain,
% 5.34/4.13 (xuntil6(s210) | (~until5(s210))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10653, 155, 20106])).
% 5.34/4.13 tff(20108,plain,
% 5.34/4.13 (~until5(s210)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20107, 20104])).
% 5.34/4.13 tff(20109,plain,
% 5.34/4.13 (~xuntil6(s209)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10642, 20108])).
% 5.34/4.13 tff(20110,plain,
% 5.34/4.13 (~always3(s209)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5349, 20105])).
% 5.34/4.13 tff(20111,plain,
% 5.34/4.13 (~node4(s209)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10629, 35, 20110])).
% 5.34/4.13 tff(20112,plain,
% 5.34/4.13 (xuntil6(s209) | (~until5(s209))),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10636, 155, 20111])).
% 5.34/4.13 tff(20113,plain,
% 5.34/4.13 (~until5(s209)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[20112, 20109])).
% 5.34/4.13 tff(20114,plain,
% 5.34/4.13 (~xuntil6(s208)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[10625, 20113])).
% 5.34/4.13 tff(20115,plain,
% 5.34/4.13 (~always3(s208)),
% 5.34/4.13 inference(unit_resolution,[status(thm)],[5361, 20110])).
% 5.34/4.13 tff(20116,plain,
% 5.37/4.14 (~node4(s208)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10612, 35, 20115])).
% 5.37/4.14 tff(20117,plain,
% 5.37/4.14 (xuntil6(s208) | (~until5(s208))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10619, 155, 20116])).
% 5.37/4.14 tff(20118,plain,
% 5.37/4.14 (~until5(s208)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20117, 20114])).
% 5.37/4.14 tff(20119,plain,
% 5.37/4.14 (~xuntil6(s207)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10608, 20118])).
% 5.37/4.14 tff(20120,plain,
% 5.37/4.14 (~always3(s207)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5373, 20115])).
% 5.37/4.14 tff(20121,plain,
% 5.37/4.14 (~node4(s207)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10595, 35, 20120])).
% 5.37/4.14 tff(20122,plain,
% 5.37/4.14 (xuntil6(s207) | (~until5(s207))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10602, 155, 20121])).
% 5.37/4.14 tff(20123,plain,
% 5.37/4.14 (~until5(s207)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20122, 20119])).
% 5.37/4.14 tff(20124,plain,
% 5.37/4.14 (~xuntil6(s206)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10591, 20123])).
% 5.37/4.14 tff(20125,plain,
% 5.37/4.14 (~always3(s206)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5385, 20120])).
% 5.37/4.14 tff(20126,plain,
% 5.37/4.14 (~node4(s206)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10578, 35, 20125])).
% 5.37/4.14 tff(20127,plain,
% 5.37/4.14 (xuntil6(s206) | (~until5(s206))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10585, 155, 20126])).
% 5.37/4.14 tff(20128,plain,
% 5.37/4.14 (~until5(s206)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20127, 20124])).
% 5.37/4.14 tff(20129,plain,
% 5.37/4.14 (~xuntil6(s205)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10574, 20128])).
% 5.37/4.14 tff(20130,plain,
% 5.37/4.14 (~always3(s205)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5397, 20125])).
% 5.37/4.14 tff(20131,plain,
% 5.37/4.14 (~node4(s205)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10561, 35, 20130])).
% 5.37/4.14 tff(20132,plain,
% 5.37/4.14 (xuntil6(s205) | (~until5(s205))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10568, 155, 20131])).
% 5.37/4.14 tff(20133,plain,
% 5.37/4.14 (~until5(s205)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20132, 20129])).
% 5.37/4.14 tff(20134,plain,
% 5.37/4.14 (~xuntil6(s204)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10557, 20133])).
% 5.37/4.14 tff(20135,plain,
% 5.37/4.14 (~always3(s204)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5409, 20130])).
% 5.37/4.14 tff(20136,plain,
% 5.37/4.14 (~node4(s204)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10544, 35, 20135])).
% 5.37/4.14 tff(20137,plain,
% 5.37/4.14 (xuntil6(s204) | (~until5(s204))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10551, 155, 20136])).
% 5.37/4.14 tff(20138,plain,
% 5.37/4.14 (~until5(s204)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20137, 20134])).
% 5.37/4.14 tff(20139,plain,
% 5.37/4.14 (~xuntil6(s203)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10540, 20138])).
% 5.37/4.14 tff(20140,plain,
% 5.37/4.14 (~always3(s203)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5421, 20135])).
% 5.37/4.14 tff(20141,plain,
% 5.37/4.14 (~node4(s203)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10509, 35, 20140])).
% 5.37/4.14 tff(20142,plain,
% 5.37/4.14 (xuntil6(s203) | (~until5(s203))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10535, 155, 20141])).
% 5.37/4.14 tff(20143,plain,
% 5.37/4.14 (~until5(s203)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20142, 20139])).
% 5.37/4.14 tff(20144,plain,
% 5.37/4.14 (~xuntil6(s202)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10528, 20143])).
% 5.37/4.14 tff(20145,plain,
% 5.37/4.14 (~always3(s202)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5433, 20140])).
% 5.37/4.14 tff(20146,plain,
% 5.37/4.14 (~node4(s202)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10514, 35, 20145])).
% 5.37/4.14 tff(20147,plain,
% 5.37/4.14 (xuntil6(s202) | (~until5(s202))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10522, 155, 20146])).
% 5.37/4.14 tff(20148,plain,
% 5.37/4.14 (~until5(s202)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20147, 20144])).
% 5.37/4.14 tff(20149,plain,
% 5.37/4.14 (~xuntil6(s201)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10334, 20148])).
% 5.37/4.14 tff(20150,plain,
% 5.37/4.14 (~always3(s201)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5445, 20145])).
% 5.37/4.14 tff(20151,plain,
% 5.37/4.14 (~node4(s201)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10321, 35, 20150])).
% 5.37/4.14 tff(20152,plain,
% 5.37/4.14 (xuntil6(s201) | (~until5(s201))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10328, 155, 20151])).
% 5.37/4.14 tff(20153,plain,
% 5.37/4.14 (~until5(s201)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20152, 20149])).
% 5.37/4.14 tff(20154,plain,
% 5.37/4.14 (~xuntil6(s200)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10317, 20153])).
% 5.37/4.14 tff(20155,plain,
% 5.37/4.14 (~always3(s200)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5457, 20150])).
% 5.37/4.14 tff(20156,plain,
% 5.37/4.14 (~node4(s200)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10037, 35, 20155])).
% 5.37/4.14 tff(20157,plain,
% 5.37/4.14 (xuntil6(s200) | (~until5(s200))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10045, 155, 20156])).
% 5.37/4.14 tff(20158,plain,
% 5.37/4.14 (~until5(s200)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20157, 20154])).
% 5.37/4.14 tff(20159,plain,
% 5.37/4.14 (~xuntil6(s199)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10051, 20158])).
% 5.37/4.14 tff(20160,plain,
% 5.37/4.14 (~always3(s199)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5469, 20155])).
% 5.37/4.14 tff(20161,plain,
% 5.37/4.14 (~node4(s199)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10033, 35, 20160])).
% 5.37/4.14 tff(20162,plain,
% 5.37/4.14 (xuntil6(s199) | (~until5(s199))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10058, 155, 20161])).
% 5.37/4.14 tff(20163,plain,
% 5.37/4.14 (~until5(s199)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20162, 20159])).
% 5.37/4.14 tff(20164,plain,
% 5.37/4.14 (~xuntil6(s198)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10063, 20163])).
% 5.37/4.14 tff(20165,plain,
% 5.37/4.14 (~always3(s198)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5481, 20160])).
% 5.37/4.14 tff(20166,plain,
% 5.37/4.14 (~node4(s198)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10068, 35, 20165])).
% 5.37/4.14 tff(20167,plain,
% 5.37/4.14 (xuntil6(s198) | (~until5(s198))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10075, 155, 20166])).
% 5.37/4.14 tff(20168,plain,
% 5.37/4.14 (~until5(s198)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20167, 20164])).
% 5.37/4.14 tff(20169,plain,
% 5.37/4.14 (~xuntil6(s197)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10081, 20168])).
% 5.37/4.14 tff(20170,plain,
% 5.37/4.14 (~always3(s197)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5493, 20165])).
% 5.37/4.14 tff(20171,plain,
% 5.37/4.14 (~node4(s197)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10086, 35, 20170])).
% 5.37/4.14 tff(20172,plain,
% 5.37/4.14 (xuntil6(s197) | (~until5(s197))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10093, 155, 20171])).
% 5.37/4.14 tff(20173,plain,
% 5.37/4.14 (~until5(s197)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20172, 20169])).
% 5.37/4.14 tff(20174,plain,
% 5.37/4.14 (~xuntil6(s196)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10099, 20173])).
% 5.37/4.14 tff(20175,plain,
% 5.37/4.14 (~always3(s196)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5505, 20170])).
% 5.37/4.14 tff(20176,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[10104, 35, 20175])).
% 5.37/4.14 tff(20177,plain,
% 5.37/4.14 (xuntil6(s196) | (~until5(s196))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10111, 155, 20176])).
% 5.37/4.14 tff(20178,plain,
% 5.37/4.14 (~until5(s196)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20177, 20174])).
% 5.37/4.14 tff(20179,plain,
% 5.37/4.14 (~xuntil6(s195)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10117, 20178])).
% 5.37/4.14 tff(20180,plain,
% 5.37/4.14 (~always3(s195)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5517, 20175])).
% 5.37/4.14 tff(20181,plain,
% 5.37/4.14 (~node4(s195)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10122, 35, 20180])).
% 5.37/4.14 tff(20182,plain,
% 5.37/4.14 (xuntil6(s195) | (~until5(s195))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10129, 155, 20181])).
% 5.37/4.14 tff(20183,plain,
% 5.37/4.14 (~until5(s195)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20182, 20179])).
% 5.37/4.14 tff(20184,plain,
% 5.37/4.14 (~xuntil6(s194)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10135, 20183])).
% 5.37/4.14 tff(20185,plain,
% 5.37/4.14 (~always3(s194)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5529, 20180])).
% 5.37/4.14 tff(20186,plain,
% 5.37/4.14 (~node4(s194)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10140, 35, 20185])).
% 5.37/4.14 tff(20187,plain,
% 5.37/4.14 (xuntil6(s194) | (~until5(s194))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10147, 155, 20186])).
% 5.37/4.14 tff(20188,plain,
% 5.37/4.14 (~until5(s194)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20187, 20184])).
% 5.37/4.14 tff(20189,plain,
% 5.37/4.14 (~xuntil6(s193)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10153, 20188])).
% 5.37/4.14 tff(20190,plain,
% 5.37/4.14 (~always3(s193)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5541, 20185])).
% 5.37/4.14 tff(20191,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[10158, 35, 20190])).
% 5.37/4.14 tff(20192,plain,
% 5.37/4.14 (xuntil6(s193) | (~until5(s193))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10165, 155, 20191])).
% 5.37/4.14 tff(20193,plain,
% 5.37/4.14 (~until5(s193)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20192, 20189])).
% 5.37/4.14 tff(20194,plain,
% 5.37/4.14 (~xuntil6(s192)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10310, 20193])).
% 5.37/4.14 tff(20195,plain,
% 5.37/4.14 (~always3(s192)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5553, 20190])).
% 5.37/4.14 tff(20196,plain,
% 5.37/4.14 (~node4(s192)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10297, 35, 20195])).
% 5.37/4.14 tff(20197,plain,
% 5.37/4.14 (xuntil6(s192) | (~until5(s192))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10304, 155, 20196])).
% 5.37/4.14 tff(20198,plain,
% 5.37/4.14 (~until5(s192)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20197, 20194])).
% 5.37/4.14 tff(20199,plain,
% 5.37/4.14 (~xuntil6(s191)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10293, 20198])).
% 5.37/4.14 tff(20200,plain,
% 5.37/4.14 (~always3(s191)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5565, 20195])).
% 5.37/4.14 tff(20201,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[10280, 35, 20200])).
% 5.37/4.14 tff(20202,plain,
% 5.37/4.14 (xuntil6(s191) | (~until5(s191))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10287, 155, 20201])).
% 5.37/4.14 tff(20203,plain,
% 5.37/4.14 (~until5(s191)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20202, 20199])).
% 5.37/4.14 tff(20204,plain,
% 5.37/4.14 (~xuntil6(s190)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10276, 20203])).
% 5.37/4.14 tff(20205,plain,
% 5.37/4.14 (~always3(s190)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5577, 20200])).
% 5.37/4.14 tff(20206,plain,
% 5.37/4.14 (~node4(s190)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10263, 35, 20205])).
% 5.37/4.14 tff(20207,plain,
% 5.37/4.14 (xuntil6(s190) | (~until5(s190))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10270, 155, 20206])).
% 5.37/4.14 tff(20208,plain,
% 5.37/4.14 (~until5(s190)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20207, 20204])).
% 5.37/4.14 tff(20209,plain,
% 5.37/4.14 (~xuntil6(s189)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10259, 20208])).
% 5.37/4.14 tff(20210,plain,
% 5.37/4.14 (~always3(s189)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5589, 20205])).
% 5.37/4.14 tff(20211,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[10246, 35, 20210])).
% 5.37/4.14 tff(20212,plain,
% 5.37/4.14 (xuntil6(s189) | (~until5(s189))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10253, 155, 20211])).
% 5.37/4.14 tff(20213,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[20212, 20209])).
% 5.37/4.14 tff(20214,plain,
% 5.37/4.14 (~xuntil6(s188)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10242, 20213])).
% 5.37/4.14 tff(20215,plain,
% 5.37/4.14 (~always3(s188)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5601, 20210])).
% 5.37/4.14 tff(20216,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[10229, 35, 20215])).
% 5.37/4.14 tff(20217,plain,
% 5.37/4.14 (xuntil6(s188) | (~until5(s188))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10236, 155, 20216])).
% 5.37/4.14 tff(20218,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[20217, 20214])).
% 5.37/4.14 tff(20219,plain,
% 5.37/4.14 (~xuntil6(s187)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[10225, 20218])).
% 5.37/4.14 tff(20220,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[5613, 20215])).
% 5.37/4.14 tff(20221,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[10212, 35, 20220])).
% 5.37/4.14 tff(20222,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[10219, 155, 20221])).
% 5.37/4.14 tff(20223,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[20222, 20219])).
% 5.37/4.14 tff(20224,plain,
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% 5.37/4.14 tff(20225,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[5625, 20220])).
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% 5.37/4.14 tff(20228,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[20227, 20224])).
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% 5.37/4.14 tff(20230,plain,
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% 5.37/4.14 tff(20235,plain,
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% 5.37/4.14 tff(20244,plain,
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% 5.37/4.14 tff(20245,plain,
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% 5.37/4.14 tff(20248,plain,
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% 5.37/4.14 tff(20249,plain,
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% 5.37/4.14 tff(20250,plain,
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% 5.37/4.14 tff(20251,plain,
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% 5.37/4.14 tff(20252,plain,
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% 5.37/4.14 tff(20253,plain,
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% 5.37/4.14 tff(20254,plain,
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% 5.37/4.14 tff(20255,plain,
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% 5.37/4.14 tff(20256,plain,
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% 5.37/4.14 tff(20257,plain,
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% 5.37/4.14 tff(20258,plain,
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% 5.37/4.14 tff(20259,plain,
% 5.37/4.14 (~xuntil6(s179)),
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% 5.37/4.14 tff(20260,plain,
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% 5.37/4.14 tff(20261,plain,
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% 5.37/4.14 tff(20262,plain,
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% 5.37/4.14 tff(20263,plain,
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% 5.37/4.14 tff(20264,plain,
% 5.37/4.14 (~xuntil6(s178)),
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% 5.37/4.14 tff(20265,plain,
% 5.37/4.14 (~always3(s178)),
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% 5.37/4.14 tff(20266,plain,
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% 5.37/4.14 tff(20267,plain,
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% 5.37/4.14 tff(20268,plain,
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% 5.37/4.14 tff(20269,plain,
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% 5.37/4.14 tff(20270,plain,
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% 5.37/4.14 tff(20271,plain,
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% 5.37/4.14 tff(20274,plain,
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% 5.37/4.14 tff(20275,plain,
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% 5.37/4.14 tff(20279,plain,
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% 5.37/4.14 tff(20280,plain,
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% 5.37/4.14 tff(20284,plain,
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% 5.37/4.14 tff(20285,plain,
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% 5.37/4.14 tff(20288,plain,
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% 5.37/4.14 tff(20289,plain,
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% 5.37/4.14 tff(20290,plain,
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% 5.37/4.14 tff(20291,plain,
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% 5.37/4.14 tff(20292,plain,
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% 5.37/4.14 tff(20293,plain,
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% 5.37/4.14 tff(20294,plain,
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% 5.37/4.14 tff(20295,plain,
% 5.37/4.14 (~always3(s168)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5841, 20294])).
% 5.37/4.14 tff(20296,plain,
% 5.37/4.14 (~always3(s167)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5853, 20295])).
% 5.37/4.14 tff(20297,plain,
% 5.37/4.14 (~always3(s166)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5865, 20296])).
% 5.37/4.14 tff(20298,plain,
% 5.37/4.14 (~always3(s165)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5877, 20297])).
% 5.37/4.14 tff(20299,plain,
% 5.37/4.14 (~always3(s164)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5889, 20298])).
% 5.37/4.14 tff(20300,plain,
% 5.37/4.14 (~always3(s163)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5901, 20299])).
% 5.37/4.14 tff(20301,plain,
% 5.37/4.14 (~always3(s162)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5913, 20300])).
% 5.37/4.14 tff(20302,plain,
% 5.37/4.14 (~always3(s161)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5925, 20301])).
% 5.37/4.14 tff(20303,plain,
% 5.37/4.14 (~always3(s160)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5937, 20302])).
% 5.37/4.14 tff(20304,plain,
% 5.37/4.14 (~always3(s159)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5949, 20303])).
% 5.37/4.14 tff(20305,plain,
% 5.37/4.14 (~always3(s158)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5961, 20304])).
% 5.37/4.14 tff(20306,plain,
% 5.37/4.14 (~always3(s157)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5973, 20305])).
% 5.37/4.14 tff(20307,plain,
% 5.37/4.14 (~always3(s156)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5985, 20306])).
% 5.37/4.14 tff(20308,plain,
% 5.37/4.14 (~always3(s155)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[5997, 20307])).
% 5.37/4.14 tff(20309,plain,
% 5.37/4.14 (~always3(s154)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6009, 20308])).
% 5.37/4.14 tff(20310,plain,
% 5.37/4.14 (~always3(s153)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6021, 20309])).
% 5.37/4.14 tff(20311,plain,
% 5.37/4.14 (~always3(s152)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6033, 20310])).
% 5.37/4.14 tff(20312,plain,
% 5.37/4.14 (~always3(s151)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6045, 20311])).
% 5.37/4.14 tff(20313,plain,
% 5.37/4.14 (~always3(s150)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6057, 20312])).
% 5.37/4.14 tff(20314,plain,
% 5.37/4.14 (~always3(s149)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6069, 20313])).
% 5.37/4.14 tff(20315,plain,
% 5.37/4.14 (~always3(s148)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6081, 20314])).
% 5.37/4.14 tff(20316,plain,
% 5.37/4.14 (~always3(s147)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6093, 20315])).
% 5.37/4.14 tff(20317,plain,
% 5.37/4.14 (~always3(s146)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6105, 20316])).
% 5.37/4.14 tff(20318,plain,
% 5.37/4.14 (~always3(s145)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6117, 20317])).
% 5.37/4.14 tff(20319,plain,
% 5.37/4.14 (~always3(s144)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6129, 20318])).
% 5.37/4.14 tff(20320,plain,
% 5.37/4.14 (~always3(s143)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6141, 20319])).
% 5.37/4.14 tff(20321,plain,
% 5.37/4.14 (~always3(s142)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6153, 20320])).
% 5.37/4.14 tff(20322,plain,
% 5.37/4.14 (~always3(s141)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6165, 20321])).
% 5.37/4.14 tff(20323,plain,
% 5.37/4.14 (~always3(s140)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6177, 20322])).
% 5.37/4.14 tff(20324,plain,
% 5.37/4.14 (~always3(s139)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6189, 20323])).
% 5.37/4.14 tff(20325,plain,
% 5.37/4.14 (~always3(s138)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6201, 20324])).
% 5.37/4.14 tff(20326,plain,
% 5.37/4.14 (~always3(s137)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6213, 20325])).
% 5.37/4.14 tff(20327,plain,
% 5.37/4.14 (~always3(s136)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6225, 20326])).
% 5.37/4.14 tff(20328,plain,
% 5.37/4.14 (~always3(s135)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6237, 20327])).
% 5.37/4.14 tff(20329,plain,
% 5.37/4.14 (~always3(s134)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6249, 20328])).
% 5.37/4.14 tff(20330,plain,
% 5.37/4.14 (~always3(s133)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6261, 20329])).
% 5.37/4.14 tff(20331,plain,
% 5.37/4.14 (~always3(s132)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6273, 20330])).
% 5.37/4.14 tff(20332,plain,
% 5.37/4.14 (~always3(s131)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6285, 20331])).
% 5.37/4.14 tff(20333,plain,
% 5.37/4.14 (~always3(s130)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6297, 20332])).
% 5.37/4.14 tff(20334,plain,
% 5.37/4.14 (~always3(s129)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6309, 20333])).
% 5.37/4.14 tff(20335,plain,
% 5.37/4.14 (~always3(s128)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6321, 20334])).
% 5.37/4.14 tff(20336,plain,
% 5.37/4.14 (~always3(s127)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6333, 20335])).
% 5.37/4.14 tff(20337,plain,
% 5.37/4.14 (~always3(s126)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6345, 20336])).
% 5.37/4.14 tff(20338,plain,
% 5.37/4.14 (~always3(s125)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6357, 20337])).
% 5.37/4.14 tff(20339,plain,
% 5.37/4.14 (~always3(s124)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6369, 20338])).
% 5.37/4.14 tff(20340,plain,
% 5.37/4.14 (~always3(s123)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6381, 20339])).
% 5.37/4.14 tff(20341,plain,
% 5.37/4.14 (~always3(s122)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6393, 20340])).
% 5.37/4.14 tff(20342,plain,
% 5.37/4.14 (~always3(s121)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6405, 20341])).
% 5.37/4.14 tff(20343,plain,
% 5.37/4.14 (~always3(s120)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6417, 20342])).
% 5.37/4.14 tff(20344,plain,
% 5.37/4.14 (~always3(s119)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6429, 20343])).
% 5.37/4.14 tff(20345,plain,
% 5.37/4.14 (~always3(s118)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6441, 20344])).
% 5.37/4.14 tff(20346,plain,
% 5.37/4.14 (~always3(s117)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6453, 20345])).
% 5.37/4.14 tff(20347,plain,
% 5.37/4.14 (~always3(s116)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6465, 20346])).
% 5.37/4.14 tff(20348,plain,
% 5.37/4.14 (~always3(s115)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6477, 20347])).
% 5.37/4.14 tff(20349,plain,
% 5.37/4.14 (~always3(s114)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6489, 20348])).
% 5.37/4.14 tff(20350,plain,
% 5.37/4.14 (~always3(s113)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6501, 20349])).
% 5.37/4.14 tff(20351,plain,
% 5.37/4.14 (~always3(s112)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6513, 20350])).
% 5.37/4.14 tff(20352,plain,
% 5.37/4.14 (~always3(s111)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6525, 20351])).
% 5.37/4.14 tff(20353,plain,
% 5.37/4.14 (~always3(s110)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6537, 20352])).
% 5.37/4.14 tff(20354,plain,
% 5.37/4.14 (~always3(s109)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6549, 20353])).
% 5.37/4.14 tff(20355,plain,
% 5.37/4.14 (~always3(s108)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6561, 20354])).
% 5.37/4.14 tff(20356,plain,
% 5.37/4.14 (~always3(s107)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6573, 20355])).
% 5.37/4.14 tff(20357,plain,
% 5.37/4.14 (~always3(s106)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6585, 20356])).
% 5.37/4.14 tff(20358,plain,
% 5.37/4.14 (~always3(s105)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6597, 20357])).
% 5.37/4.14 tff(20359,plain,
% 5.37/4.14 (~always3(s104)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6609, 20358])).
% 5.37/4.14 tff(20360,plain,
% 5.37/4.14 (~always3(s103)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6621, 20359])).
% 5.37/4.14 tff(20361,plain,
% 5.37/4.14 (~always3(s102)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6633, 20360])).
% 5.37/4.14 tff(20362,plain,
% 5.37/4.14 (~always3(s101)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6645, 20361])).
% 5.37/4.14 tff(20363,plain,
% 5.37/4.14 (~always3(s100)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6657, 20362])).
% 5.37/4.14 tff(20364,plain,
% 5.37/4.14 (~always3(s99)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6669, 20363])).
% 5.37/4.14 tff(20365,plain,
% 5.37/4.14 (~always3(s98)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6681, 20364])).
% 5.37/4.14 tff(20366,plain,
% 5.37/4.14 (~always3(s97)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6697, 20365])).
% 5.37/4.14 tff(20367,plain,
% 5.37/4.14 (~always3(s96)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6709, 20366])).
% 5.37/4.14 tff(20368,plain,
% 5.37/4.14 (~always3(s95)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6725, 20367])).
% 5.37/4.14 tff(20369,plain,
% 5.37/4.14 (~always3(s94)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6737, 20368])).
% 5.37/4.14 tff(20370,plain,
% 5.37/4.14 (~always3(s93)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6749, 20369])).
% 5.37/4.14 tff(20371,plain,
% 5.37/4.14 (~always3(s92)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6762, 20370])).
% 5.37/4.14 tff(20372,plain,
% 5.37/4.14 (~always3(s91)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6808, 20371])).
% 5.37/4.14 tff(20373,plain,
% 5.37/4.14 (~always3(s90)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6832, 20372])).
% 5.37/4.14 tff(20374,plain,
% 5.37/4.14 (~always3(s89)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6844, 20373])).
% 5.37/4.14 tff(20375,plain,
% 5.37/4.14 (~always3(s88)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6856, 20374])).
% 5.37/4.14 tff(20376,plain,
% 5.37/4.14 (~always3(s87)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6872, 20375])).
% 5.37/4.14 tff(20377,plain,
% 5.37/4.14 (~always3(s86)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6884, 20376])).
% 5.37/4.14 tff(20378,plain,
% 5.37/4.14 (~always3(s85)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6896, 20377])).
% 5.37/4.14 tff(20379,plain,
% 5.37/4.14 (~always3(s84)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6912, 20378])).
% 5.37/4.14 tff(20380,plain,
% 5.37/4.14 (~always3(s83)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6924, 20379])).
% 5.37/4.14 tff(20381,plain,
% 5.37/4.14 (~always3(s82)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6936, 20380])).
% 5.37/4.14 tff(20382,plain,
% 5.37/4.14 (~always3(s81)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6948, 20381])).
% 5.37/4.14 tff(20383,plain,
% 5.37/4.14 (~always3(s80)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6960, 20382])).
% 5.37/4.14 tff(20384,plain,
% 5.37/4.14 (~always3(s79)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6972, 20383])).
% 5.37/4.14 tff(20385,plain,
% 5.37/4.14 (~always3(s78)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6984, 20384])).
% 5.37/4.14 tff(20386,plain,
% 5.37/4.14 (~always3(s77)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6996, 20385])).
% 5.37/4.14 tff(20387,plain,
% 5.37/4.14 (~always3(s76)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7008, 20386])).
% 5.37/4.14 tff(20388,plain,
% 5.37/4.14 (~always3(s75)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7020, 20387])).
% 5.37/4.14 tff(20389,plain,
% 5.37/4.14 (~always3(s74)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7033, 20388])).
% 5.37/4.14 tff(20390,plain,
% 5.37/4.14 (~always3(s73)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7045, 20389])).
% 5.37/4.14 tff(20391,plain,
% 5.37/4.14 (~always3(s72)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7057, 20390])).
% 5.37/4.14 tff(20392,plain,
% 5.37/4.14 (~always3(s71)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7069, 20391])).
% 5.37/4.14 tff(20393,plain,
% 5.37/4.14 (~always3(s70)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7081, 20392])).
% 5.37/4.14 tff(20394,plain,
% 5.37/4.14 (~always3(s69)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7093, 20393])).
% 5.37/4.14 tff(20395,plain,
% 5.37/4.14 (~always3(s68)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7105, 20394])).
% 5.37/4.14 tff(20396,plain,
% 5.37/4.14 (~always3(s67)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7117, 20395])).
% 5.37/4.14 tff(20397,plain,
% 5.37/4.14 (~always3(s66)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7129, 20396])).
% 5.37/4.14 tff(20398,plain,
% 5.37/4.14 (~always3(s65)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7141, 20397])).
% 5.37/4.14 tff(20399,plain,
% 5.37/4.14 (~always3(s64)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7153, 20398])).
% 5.37/4.14 tff(20400,plain,
% 5.37/4.14 (~always3(s63)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7165, 20399])).
% 5.37/4.14 tff(20401,plain,
% 5.37/4.14 (~always3(s62)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7177, 20400])).
% 5.37/4.14 tff(20402,plain,
% 5.37/4.14 (~always3(s61)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7189, 20401])).
% 5.37/4.14 tff(20403,plain,
% 5.37/4.14 (~always3(s60)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7201, 20402])).
% 5.37/4.14 tff(20404,plain,
% 5.37/4.14 (~always3(s59)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7213, 20403])).
% 5.37/4.14 tff(20405,plain,
% 5.37/4.14 (~always3(s58)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7225, 20404])).
% 5.37/4.14 tff(20406,plain,
% 5.37/4.14 (~always3(s57)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7237, 20405])).
% 5.37/4.14 tff(20407,plain,
% 5.37/4.14 (~always3(s56)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7249, 20406])).
% 5.37/4.14 tff(20408,plain,
% 5.37/4.14 (~always3(s55)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7261, 20407])).
% 5.37/4.14 tff(20409,plain,
% 5.37/4.14 (~always3(s54)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7273, 20408])).
% 5.37/4.14 tff(20410,plain,
% 5.37/4.14 (~always3(s53)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4228, 20409])).
% 5.37/4.14 tff(20411,plain,
% 5.37/4.14 (~always3(s52)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4035, 20410])).
% 5.37/4.14 tff(20412,plain,
% 5.37/4.14 (~always3(s51)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3909, 20411])).
% 5.37/4.14 tff(20413,plain,
% 5.37/4.14 (~always3(s50)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3921, 20412])).
% 5.37/4.14 tff(20414,plain,
% 5.37/4.14 (~always3(s49)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3819, 20413])).
% 5.37/4.14 tff(20415,plain,
% 5.37/4.14 (~always3(s48)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3763, 20414])).
% 5.37/4.14 tff(20416,plain,
% 5.37/4.14 (~node4(s48)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3751, 35, 20415])).
% 5.37/4.14 tff(20417,plain,
% 5.37/4.14 (~always3(s47)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[67, 20415])).
% 5.37/4.14 tff(20418,plain,
% 5.37/4.14 (~node4(s47)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[38, 35, 20417])).
% 5.37/4.14 tff(20419,assumption,(until5(s47)), introduced(assumption)).
% 5.37/4.14 tff(20420,plain,
% 5.37/4.14 (xuntil6(s47) | node4(s47)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3736, 155, 20419])).
% 5.37/4.14 tff(20421,plain,
% 5.37/4.14 (xuntil6(s47)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20420, 20418])).
% 5.37/4.14 tff(20422,plain,
% 5.37/4.14 (until5(s48)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3742, 20421])).
% 5.37/4.14 tff(20423,plain,
% 5.37/4.14 (xuntil6(s48)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3792, 155, 20422, 20416])).
% 5.37/4.14 tff(20424,plain,
% 5.37/4.14 (until5(s49)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3798, 20423])).
% 5.37/4.14 tff(20425,plain,
% 5.37/4.14 (~node4(s49)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3807, 35, 20414])).
% 5.37/4.14 tff(20426,plain,
% 5.37/4.14 (xuntil6(s49) | (~until5(s49))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3889, 155, 20425])).
% 5.37/4.14 tff(20427,plain,
% 5.37/4.14 (xuntil6(s49)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20426, 20424])).
% 5.37/4.14 tff(20428,plain,
% 5.37/4.14 (until5(s50)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3895, 20427])).
% 5.37/4.14 tff(20429,plain,
% 5.37/4.14 (~node4(s50)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3960, 35, 20413])).
% 5.37/4.14 tff(20430,plain,
% 5.37/4.14 (xuntil6(s50) | (~until5(s50))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3985, 155, 20429])).
% 5.37/4.14 tff(20431,plain,
% 5.37/4.14 (xuntil6(s50)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20430, 20428])).
% 5.37/4.14 tff(20432,plain,
% 5.37/4.14 (until5(s51)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3978, 20431])).
% 5.37/4.14 tff(20433,plain,
% 5.37/4.14 (~node4(s51)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3964, 35, 20412])).
% 5.37/4.14 tff(20434,plain,
% 5.37/4.14 (xuntil6(s51) | (~until5(s51))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[3972, 155, 20433])).
% 5.37/4.14 tff(20435,plain,
% 5.37/4.14 (xuntil6(s51)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20434, 20432])).
% 5.37/4.14 tff(20436,plain,
% 5.37/4.14 (until5(s52)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4009, 20435])).
% 5.37/4.14 tff(20437,plain,
% 5.37/4.14 (~node4(s52)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4021, 35, 20411])).
% 5.37/4.14 tff(20438,plain,
% 5.37/4.14 (xuntil6(s52) | (~until5(s52))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4016, 155, 20437])).
% 5.37/4.14 tff(20439,plain,
% 5.37/4.14 (xuntil6(s52)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20438, 20436])).
% 5.37/4.14 tff(20440,plain,
% 5.37/4.14 (until5(s53)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4207, 20439])).
% 5.37/4.14 tff(20441,plain,
% 5.37/4.14 (~node4(s53)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4216, 35, 20410])).
% 5.37/4.14 tff(20442,plain,
% 5.37/4.14 (xuntil6(s53) | (~until5(s53))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4257, 155, 20441])).
% 5.37/4.14 tff(20443,plain,
% 5.37/4.14 (xuntil6(s53)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20442, 20440])).
% 5.37/4.14 tff(20444,plain,
% 5.37/4.14 (until5(s54)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[4263, 20443])).
% 5.37/4.14 tff(20445,plain,
% 5.37/4.14 (~node4(s54)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7642, 35, 20409])).
% 5.37/4.14 tff(20446,plain,
% 5.37/4.14 (xuntil6(s54) | (~until5(s54))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7649, 155, 20445])).
% 5.37/4.14 tff(20447,plain,
% 5.37/4.14 (xuntil6(s54)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20446, 20444])).
% 5.37/4.14 tff(20448,plain,
% 5.37/4.14 (until5(s55)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7638, 20447])).
% 5.37/4.14 tff(20449,plain,
% 5.37/4.14 (~node4(s55)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7625, 35, 20408])).
% 5.37/4.14 tff(20450,plain,
% 5.37/4.14 (xuntil6(s55) | (~until5(s55))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7632, 155, 20449])).
% 5.37/4.14 tff(20451,plain,
% 5.37/4.14 (xuntil6(s55)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20450, 20448])).
% 5.37/4.14 tff(20452,plain,
% 5.37/4.14 (until5(s56)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7621, 20451])).
% 5.37/4.14 tff(20453,plain,
% 5.37/4.14 (~node4(s56)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7608, 35, 20407])).
% 5.37/4.14 tff(20454,plain,
% 5.37/4.14 (xuntil6(s56) | (~until5(s56))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7615, 155, 20453])).
% 5.37/4.14 tff(20455,plain,
% 5.37/4.14 (xuntil6(s56)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20454, 20452])).
% 5.37/4.14 tff(20456,plain,
% 5.37/4.14 (until5(s57)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7604, 20455])).
% 5.37/4.14 tff(20457,plain,
% 5.37/4.14 (~node4(s57)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7591, 35, 20406])).
% 5.37/4.14 tff(20458,plain,
% 5.37/4.14 (xuntil6(s57) | (~until5(s57))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7598, 155, 20457])).
% 5.37/4.14 tff(20459,plain,
% 5.37/4.14 (xuntil6(s57)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20458, 20456])).
% 5.37/4.14 tff(20460,plain,
% 5.37/4.14 (until5(s58)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7587, 20459])).
% 5.37/4.14 tff(20461,plain,
% 5.37/4.14 (~node4(s58)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7574, 35, 20405])).
% 5.37/4.14 tff(20462,plain,
% 5.37/4.14 (xuntil6(s58) | (~until5(s58))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7581, 155, 20461])).
% 5.37/4.14 tff(20463,plain,
% 5.37/4.14 (xuntil6(s58)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20462, 20460])).
% 5.37/4.14 tff(20464,plain,
% 5.37/4.14 (until5(s59)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7570, 20463])).
% 5.37/4.14 tff(20465,plain,
% 5.37/4.14 (~node4(s59)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7557, 35, 20404])).
% 5.37/4.14 tff(20466,plain,
% 5.37/4.14 (xuntil6(s59) | (~until5(s59))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7564, 155, 20465])).
% 5.37/4.14 tff(20467,plain,
% 5.37/4.14 (xuntil6(s59)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20466, 20464])).
% 5.37/4.14 tff(20468,plain,
% 5.37/4.14 (until5(s60)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7553, 20467])).
% 5.37/4.14 tff(20469,plain,
% 5.37/4.14 (~node4(s60)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7540, 35, 20403])).
% 5.37/4.14 tff(20470,plain,
% 5.37/4.14 (xuntil6(s60) | (~until5(s60))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7547, 155, 20469])).
% 5.37/4.14 tff(20471,plain,
% 5.37/4.14 (xuntil6(s60)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20470, 20468])).
% 5.37/4.14 tff(20472,plain,
% 5.37/4.14 (until5(s61)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7536, 20471])).
% 5.37/4.14 tff(20473,plain,
% 5.37/4.14 (~node4(s61)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7523, 35, 20402])).
% 5.37/4.14 tff(20474,plain,
% 5.37/4.14 (xuntil6(s61) | (~until5(s61))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7530, 155, 20473])).
% 5.37/4.14 tff(20475,plain,
% 5.37/4.14 (xuntil6(s61)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20474, 20472])).
% 5.37/4.14 tff(20476,plain,
% 5.37/4.14 (until5(s62)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7519, 20475])).
% 5.37/4.14 tff(20477,plain,
% 5.37/4.14 (~node4(s62)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7506, 35, 20401])).
% 5.37/4.14 tff(20478,plain,
% 5.37/4.14 (xuntil6(s62) | (~until5(s62))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7513, 155, 20477])).
% 5.37/4.14 tff(20479,plain,
% 5.37/4.14 (xuntil6(s62)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20478, 20476])).
% 5.37/4.14 tff(20480,plain,
% 5.37/4.14 (until5(s63)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7502, 20479])).
% 5.37/4.14 tff(20481,plain,
% 5.37/4.14 (~node4(s63)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7489, 35, 20400])).
% 5.37/4.14 tff(20482,plain,
% 5.37/4.14 (xuntil6(s63) | (~until5(s63))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7496, 155, 20481])).
% 5.37/4.14 tff(20483,plain,
% 5.37/4.14 (xuntil6(s63)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20482, 20480])).
% 5.37/4.14 tff(20484,plain,
% 5.37/4.14 (until5(s64)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7485, 20483])).
% 5.37/4.14 tff(20485,plain,
% 5.37/4.14 (~node4(s64)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7472, 35, 20399])).
% 5.37/4.14 tff(20486,plain,
% 5.37/4.14 (xuntil6(s64) | (~until5(s64))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7479, 155, 20485])).
% 5.37/4.14 tff(20487,plain,
% 5.37/4.14 (xuntil6(s64)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20486, 20484])).
% 5.37/4.14 tff(20488,plain,
% 5.37/4.14 (until5(s65)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7468, 20487])).
% 5.37/4.14 tff(20489,plain,
% 5.37/4.14 (~node4(s65)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7455, 35, 20398])).
% 5.37/4.14 tff(20490,plain,
% 5.37/4.14 (xuntil6(s65) | (~until5(s65))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7462, 155, 20489])).
% 5.37/4.14 tff(20491,plain,
% 5.37/4.14 (xuntil6(s65)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20490, 20488])).
% 5.37/4.14 tff(20492,plain,
% 5.37/4.14 (until5(s66)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7451, 20491])).
% 5.37/4.14 tff(20493,plain,
% 5.37/4.14 (~node4(s66)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7438, 35, 20397])).
% 5.37/4.14 tff(20494,plain,
% 5.37/4.14 (xuntil6(s66) | (~until5(s66))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7445, 155, 20493])).
% 5.37/4.14 tff(20495,plain,
% 5.37/4.14 (xuntil6(s66)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20494, 20492])).
% 5.37/4.14 tff(20496,plain,
% 5.37/4.14 (until5(s67)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7434, 20495])).
% 5.37/4.14 tff(20497,plain,
% 5.37/4.14 (~node4(s67)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7421, 35, 20396])).
% 5.37/4.14 tff(20498,plain,
% 5.37/4.14 (xuntil6(s67) | (~until5(s67))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7428, 155, 20497])).
% 5.37/4.14 tff(20499,plain,
% 5.37/4.14 (xuntil6(s67)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20498, 20496])).
% 5.37/4.14 tff(20500,plain,
% 5.37/4.14 (until5(s68)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7417, 20499])).
% 5.37/4.14 tff(20501,plain,
% 5.37/4.14 (~node4(s68)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7404, 35, 20395])).
% 5.37/4.14 tff(20502,plain,
% 5.37/4.14 (xuntil6(s68) | (~until5(s68))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7411, 155, 20501])).
% 5.37/4.14 tff(20503,plain,
% 5.37/4.14 (xuntil6(s68)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20502, 20500])).
% 5.37/4.14 tff(20504,plain,
% 5.37/4.14 (until5(s69)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7400, 20503])).
% 5.37/4.14 tff(20505,plain,
% 5.37/4.14 (~node4(s69)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7387, 35, 20394])).
% 5.37/4.14 tff(20506,plain,
% 5.37/4.14 (xuntil6(s69) | (~until5(s69))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7394, 155, 20505])).
% 5.37/4.14 tff(20507,plain,
% 5.37/4.14 (xuntil6(s69)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20506, 20504])).
% 5.37/4.14 tff(20508,plain,
% 5.37/4.14 (until5(s70)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7383, 20507])).
% 5.37/4.14 tff(20509,plain,
% 5.37/4.14 (~node4(s70)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7370, 35, 20393])).
% 5.37/4.14 tff(20510,plain,
% 5.37/4.14 (xuntil6(s70) | (~until5(s70))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7377, 155, 20509])).
% 5.37/4.14 tff(20511,plain,
% 5.37/4.14 (xuntil6(s70)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20510, 20508])).
% 5.37/4.14 tff(20512,plain,
% 5.37/4.14 (until5(s71)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7366, 20511])).
% 5.37/4.14 tff(20513,plain,
% 5.37/4.14 (~node4(s71)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7353, 35, 20392])).
% 5.37/4.14 tff(20514,plain,
% 5.37/4.14 (xuntil6(s71) | (~until5(s71))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7360, 155, 20513])).
% 5.37/4.14 tff(20515,plain,
% 5.37/4.14 (xuntil6(s71)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20514, 20512])).
% 5.37/4.14 tff(20516,plain,
% 5.37/4.14 (until5(s72)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7349, 20515])).
% 5.37/4.14 tff(20517,plain,
% 5.37/4.14 (~node4(s72)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7336, 35, 20391])).
% 5.37/4.14 tff(20518,plain,
% 5.37/4.14 (xuntil6(s72) | (~until5(s72))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7343, 155, 20517])).
% 5.37/4.14 tff(20519,plain,
% 5.37/4.14 (xuntil6(s72)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20518, 20516])).
% 5.37/4.14 tff(20520,plain,
% 5.37/4.14 (until5(s73)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7332, 20519])).
% 5.37/4.14 tff(20521,plain,
% 5.37/4.14 (~node4(s73)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7319, 35, 20390])).
% 5.37/4.14 tff(20522,plain,
% 5.37/4.14 (xuntil6(s73) | (~until5(s73))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7326, 155, 20521])).
% 5.37/4.14 tff(20523,plain,
% 5.37/4.14 (xuntil6(s73)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20522, 20520])).
% 5.37/4.14 tff(20524,plain,
% 5.37/4.14 (until5(s74)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7315, 20523])).
% 5.37/4.14 tff(20525,plain,
% 5.37/4.14 (~node4(s74)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7285, 35, 20389])).
% 5.37/4.14 tff(20526,plain,
% 5.37/4.14 (xuntil6(s74) | (~until5(s74))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7310, 155, 20525])).
% 5.37/4.14 tff(20527,plain,
% 5.37/4.14 (xuntil6(s74)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20526, 20524])).
% 5.37/4.14 tff(20528,plain,
% 5.37/4.14 (until5(s75)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7303, 20527])).
% 5.37/4.14 tff(20529,plain,
% 5.37/4.14 (~node4(s75)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7289, 35, 20388])).
% 5.37/4.14 tff(20530,plain,
% 5.37/4.14 (xuntil6(s75) | (~until5(s75))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7297, 155, 20529])).
% 5.37/4.14 tff(20531,plain,
% 5.37/4.14 (xuntil6(s75)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20530, 20528])).
% 5.37/4.14 tff(20532,plain,
% 5.37/4.14 (until5(s76)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7851, 20531])).
% 5.37/4.14 tff(20533,plain,
% 5.37/4.14 (~node4(s76)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7936, 35, 20387])).
% 5.37/4.14 tff(20534,plain,
% 5.37/4.14 (xuntil6(s76) | (~until5(s76))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7944, 155, 20533])).
% 5.37/4.14 tff(20535,plain,
% 5.37/4.14 (xuntil6(s76)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20534, 20532])).
% 5.37/4.14 tff(20536,plain,
% 5.37/4.14 (until5(s77)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7950, 20535])).
% 5.37/4.14 tff(20537,plain,
% 5.37/4.14 (~node4(s77)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7931, 35, 20386])).
% 5.37/4.14 tff(20538,plain,
% 5.37/4.14 (xuntil6(s77) | (~until5(s77))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7957, 155, 20537])).
% 5.37/4.14 tff(20539,plain,
% 5.37/4.14 (xuntil6(s77)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20538, 20536])).
% 5.37/4.14 tff(20540,plain,
% 5.37/4.14 (until5(s78)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7962, 20539])).
% 5.37/4.14 tff(20541,plain,
% 5.37/4.14 (~node4(s78)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7966, 35, 20385])).
% 5.37/4.14 tff(20542,plain,
% 5.37/4.14 (xuntil6(s78) | (~until5(s78))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7973, 155, 20541])).
% 5.37/4.14 tff(20543,plain,
% 5.37/4.14 (xuntil6(s78)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20542, 20540])).
% 5.37/4.14 tff(20544,plain,
% 5.37/4.14 (until5(s79)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7979, 20543])).
% 5.37/4.14 tff(20545,plain,
% 5.37/4.14 (~node4(s79)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7983, 35, 20384])).
% 5.37/4.14 tff(20546,plain,
% 5.37/4.14 (xuntil6(s79) | (~until5(s79))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7990, 155, 20545])).
% 5.37/4.14 tff(20547,plain,
% 5.37/4.14 (xuntil6(s79)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20546, 20544])).
% 5.37/4.14 tff(20548,plain,
% 5.37/4.14 (until5(s80)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7996, 20547])).
% 5.37/4.14 tff(20549,plain,
% 5.37/4.14 (~node4(s80)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8000, 35, 20383])).
% 5.37/4.14 tff(20550,plain,
% 5.37/4.14 (xuntil6(s80) | (~until5(s80))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8007, 155, 20549])).
% 5.37/4.14 tff(20551,plain,
% 5.37/4.14 (xuntil6(s80)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20550, 20548])).
% 5.37/4.14 tff(20552,plain,
% 5.37/4.14 (until5(s81)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7923, 20551])).
% 5.37/4.14 tff(20553,plain,
% 5.37/4.14 (~node4(s81)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7910, 35, 20382])).
% 5.37/4.14 tff(20554,plain,
% 5.37/4.14 (xuntil6(s81) | (~until5(s81))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7917, 155, 20553])).
% 5.37/4.14 tff(20555,plain,
% 5.37/4.14 (xuntil6(s81)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20554, 20552])).
% 5.37/4.14 tff(20556,plain,
% 5.37/4.14 (until5(s82)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7905, 20555])).
% 5.37/4.14 tff(20557,plain,
% 5.37/4.14 (~node4(s82)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7892, 35, 20381])).
% 5.37/4.14 tff(20558,plain,
% 5.37/4.14 (xuntil6(s82) | (~until5(s82))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7899, 155, 20557])).
% 5.37/4.14 tff(20559,plain,
% 5.37/4.14 (xuntil6(s82)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20558, 20556])).
% 5.37/4.14 tff(20560,plain,
% 5.37/4.14 (until5(s83)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7887, 20559])).
% 5.37/4.14 tff(20561,plain,
% 5.37/4.14 (~node4(s83)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7857, 35, 20380])).
% 5.37/4.14 tff(20562,plain,
% 5.37/4.14 (xuntil6(s83) | (~until5(s83))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7882, 155, 20561])).
% 5.37/4.14 tff(20563,plain,
% 5.37/4.14 (xuntil6(s83)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20562, 20560])).
% 5.37/4.14 tff(20564,plain,
% 5.37/4.14 (until5(s84)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7875, 20563])).
% 5.37/4.14 tff(20565,plain,
% 5.37/4.14 (~node4(s84)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7861, 35, 20379])).
% 5.37/4.14 tff(20566,plain,
% 5.37/4.14 (xuntil6(s84) | (~until5(s84))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[7869, 155, 20565])).
% 5.37/4.14 tff(20567,plain,
% 5.37/4.14 (xuntil6(s84)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20566, 20564])).
% 5.37/4.14 tff(20568,plain,
% 5.37/4.14 (until5(s85)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8015, 20567])).
% 5.37/4.14 tff(20569,plain,
% 5.37/4.14 (~node4(s85)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6900, 35, 20378])).
% 5.37/4.14 tff(20570,plain,
% 5.37/4.14 (xuntil6(s85) | (~until5(s85))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8022, 155, 20569])).
% 5.37/4.14 tff(20571,plain,
% 5.37/4.14 (xuntil6(s85)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20570, 20568])).
% 5.37/4.14 tff(20572,plain,
% 5.37/4.14 (until5(s86)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8028, 20571])).
% 5.37/4.14 tff(20573,plain,
% 5.37/4.14 (~node4(s86)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8048, 35, 20377])).
% 5.37/4.14 tff(20574,plain,
% 5.37/4.14 (xuntil6(s86) | (~until5(s86))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8055, 155, 20573])).
% 5.37/4.14 tff(20575,plain,
% 5.37/4.14 (xuntil6(s86)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20574, 20572])).
% 5.37/4.14 tff(20576,plain,
% 5.37/4.14 (until5(s87)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8061, 20575])).
% 5.37/4.14 tff(20577,plain,
% 5.37/4.14 (~node4(s87)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8035, 35, 20376])).
% 5.37/4.14 tff(20578,plain,
% 5.37/4.14 (xuntil6(s87) | (~until5(s87))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8042, 155, 20577])).
% 5.37/4.14 tff(20579,plain,
% 5.37/4.14 (xuntil6(s87)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20578, 20576])).
% 5.37/4.14 tff(20580,plain,
% 5.37/4.14 (until5(s88)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8130, 20579])).
% 5.37/4.14 tff(20581,plain,
% 5.37/4.14 (~node4(s88)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6860, 35, 20375])).
% 5.37/4.14 tff(20582,plain,
% 5.37/4.14 (xuntil6(s88) | (~until5(s88))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8137, 155, 20581])).
% 5.37/4.14 tff(20583,plain,
% 5.37/4.14 (xuntil6(s88)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20582, 20580])).
% 5.37/4.14 tff(20584,plain,
% 5.37/4.14 (until5(s89)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8142, 20583])).
% 5.37/4.14 tff(20585,plain,
% 5.37/4.14 (~node4(s89)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8162, 35, 20374])).
% 5.37/4.14 tff(20586,plain,
% 5.37/4.14 (xuntil6(s89) | (~until5(s89))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8169, 155, 20585])).
% 5.37/4.14 tff(20587,plain,
% 5.37/4.14 (xuntil6(s89)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20586, 20584])).
% 5.37/4.14 tff(20588,plain,
% 5.37/4.14 (until5(s90)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8175, 20587])).
% 5.37/4.14 tff(20589,plain,
% 5.37/4.14 (~node4(s90)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8149, 35, 20373])).
% 5.37/4.14 tff(20590,plain,
% 5.37/4.14 (xuntil6(s90) | (~until5(s90))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8156, 155, 20589])).
% 5.37/4.14 tff(20591,plain,
% 5.37/4.14 (xuntil6(s90)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20590, 20588])).
% 5.37/4.14 tff(20592,plain,
% 5.37/4.14 (until5(s91)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8244, 20591])).
% 5.37/4.14 tff(20593,plain,
% 5.37/4.14 (~node4(s91)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6812, 35, 20372])).
% 5.37/4.14 tff(20594,plain,
% 5.37/4.14 (xuntil6(s91) | (~until5(s91))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6819, 155, 20593])).
% 5.37/4.14 tff(20595,plain,
% 5.37/4.14 (xuntil6(s91)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20594, 20592])).
% 5.37/4.14 tff(20596,plain,
% 5.37/4.14 (until5(s92)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6799, 20595])).
% 5.37/4.14 tff(20597,plain,
% 5.37/4.14 (~node4(s92)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6766, 35, 20371])).
% 5.37/4.14 tff(20598,plain,
% 5.37/4.14 (xuntil6(s92) | (~until5(s92))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6791, 155, 20597])).
% 5.37/4.14 tff(20599,plain,
% 5.37/4.14 (xuntil6(s92)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20598, 20596])).
% 5.37/4.14 tff(20600,plain,
% 5.37/4.14 (until5(s93)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6784, 20599])).
% 5.37/4.14 tff(20601,plain,
% 5.37/4.14 (~node4(s93)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6770, 35, 20370])).
% 5.37/4.14 tff(20602,plain,
% 5.37/4.14 (xuntil6(s93) | (~until5(s93))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6778, 155, 20601])).
% 5.37/4.14 tff(20603,plain,
% 5.37/4.14 (xuntil6(s93)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20602, 20600])).
% 5.37/4.14 tff(20604,plain,
% 5.37/4.14 (until5(s94)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8251, 20603])).
% 5.37/4.14 tff(20605,plain,
% 5.37/4.14 (~node4(s94)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8271, 35, 20369])).
% 5.37/4.14 tff(20606,plain,
% 5.37/4.14 (xuntil6(s94) | (~until5(s94))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8278, 155, 20605])).
% 5.37/4.14 tff(20607,plain,
% 5.37/4.14 (xuntil6(s94)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20606, 20604])).
% 5.37/4.14 tff(20608,plain,
% 5.37/4.14 (until5(s95)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8284, 20607])).
% 5.37/4.14 tff(20609,plain,
% 5.37/4.14 (~node4(s95)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8258, 35, 20368])).
% 5.37/4.14 tff(20610,plain,
% 5.37/4.14 (xuntil6(s95) | (~until5(s95))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8265, 155, 20609])).
% 5.37/4.14 tff(20611,plain,
% 5.37/4.14 (xuntil6(s95)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20610, 20608])).
% 5.37/4.14 tff(20612,plain,
% 5.37/4.14 (until5(s96)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8353, 20611])).
% 5.37/4.14 tff(20613,plain,
% 5.37/4.14 (~node4(s96)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6713, 35, 20367])).
% 5.37/4.14 tff(20614,plain,
% 5.37/4.14 (xuntil6(s96) | (~until5(s96))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8360, 155, 20613])).
% 5.37/4.14 tff(20615,plain,
% 5.37/4.14 (xuntil6(s96)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20614, 20612])).
% 5.37/4.14 tff(20616,plain,
% 5.37/4.14 (until5(s97)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8366, 20615])).
% 5.37/4.14 tff(20617,plain,
% 5.37/4.14 (~node4(s97)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8375, 35, 20366])).
% 5.37/4.14 tff(20618,plain,
% 5.37/4.14 (xuntil6(s97) | (~until5(s97))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8411, 155, 20617])).
% 5.37/4.14 tff(20619,plain,
% 5.37/4.14 (xuntil6(s97)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20618, 20616])).
% 5.37/4.14 tff(20620,plain,
% 5.37/4.14 (until5(s98)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8417, 20619])).
% 5.37/4.14 tff(20621,plain,
% 5.37/4.14 (~node4(s98)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[6685, 35, 20365])).
% 5.37/4.14 tff(20622,plain,
% 5.37/4.14 (xuntil6(s98) | (~until5(s98))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8424, 155, 20621])).
% 5.37/4.14 tff(20623,plain,
% 5.37/4.14 (xuntil6(s98)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20622, 20620])).
% 5.37/4.14 tff(20624,plain,
% 5.37/4.14 (until5(s99)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8429, 20623])).
% 5.37/4.14 tff(20625,plain,
% 5.37/4.14 (~node4(s99)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8438, 35, 20364])).
% 5.37/4.14 tff(20626,plain,
% 5.37/4.14 (xuntil6(s99) | (~until5(s99))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8474, 155, 20625])).
% 5.37/4.14 tff(20627,plain,
% 5.37/4.14 (xuntil6(s99)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20626, 20624])).
% 5.37/4.14 tff(20628,plain,
% 5.37/4.14 (until5(s100)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8480, 20627])).
% 5.37/4.14 tff(20629,plain,
% 5.37/4.14 (~node4(s100)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8484, 35, 20363])).
% 5.37/4.14 tff(20630,plain,
% 5.37/4.14 (xuntil6(s100) | (~until5(s100))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8491, 155, 20629])).
% 5.37/4.14 tff(20631,plain,
% 5.37/4.14 (xuntil6(s100)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20630, 20628])).
% 5.37/4.14 tff(20632,plain,
% 5.37/4.14 (until5(s101)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8497, 20631])).
% 5.37/4.14 tff(20633,plain,
% 5.37/4.14 (~node4(s101)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8517, 35, 20362])).
% 5.37/4.14 tff(20634,plain,
% 5.37/4.14 (xuntil6(s101) | (~until5(s101))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8524, 155, 20633])).
% 5.37/4.14 tff(20635,plain,
% 5.37/4.14 (xuntil6(s101)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20634, 20632])).
% 5.37/4.14 tff(20636,plain,
% 5.37/4.14 (until5(s102)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8530, 20635])).
% 5.37/4.14 tff(20637,plain,
% 5.37/4.14 (~node4(s102)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8504, 35, 20361])).
% 5.37/4.14 tff(20638,plain,
% 5.37/4.14 (xuntil6(s102) | (~until5(s102))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8511, 155, 20637])).
% 5.37/4.14 tff(20639,plain,
% 5.37/4.14 (xuntil6(s102)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20638, 20636])).
% 5.37/4.14 tff(20640,plain,
% 5.37/4.14 (until5(s103)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8599, 20639])).
% 5.37/4.14 tff(20641,plain,
% 5.37/4.14 (~node4(s103)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8603, 35, 20360])).
% 5.37/4.14 tff(20642,plain,
% 5.37/4.14 (xuntil6(s103) | (~until5(s103))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8610, 155, 20641])).
% 5.37/4.14 tff(20643,plain,
% 5.37/4.14 (xuntil6(s103)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20642, 20640])).
% 5.37/4.14 tff(20644,plain,
% 5.37/4.14 (until5(s104)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8616, 20643])).
% 5.37/4.14 tff(20645,plain,
% 5.37/4.14 (~node4(s104)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8620, 35, 20359])).
% 5.37/4.14 tff(20646,plain,
% 5.37/4.14 (xuntil6(s104) | (~until5(s104))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8627, 155, 20645])).
% 5.37/4.14 tff(20647,plain,
% 5.37/4.14 (xuntil6(s104)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20646, 20644])).
% 5.37/4.14 tff(20648,plain,
% 5.37/4.14 (until5(s105)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8633, 20647])).
% 5.37/4.14 tff(20649,plain,
% 5.37/4.14 (~node4(s105)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8637, 35, 20358])).
% 5.37/4.14 tff(20650,plain,
% 5.37/4.14 (xuntil6(s105) | (~until5(s105))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8644, 155, 20649])).
% 5.37/4.14 tff(20651,plain,
% 5.37/4.14 (xuntil6(s105)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20650, 20648])).
% 5.37/4.14 tff(20652,plain,
% 5.37/4.14 (until5(s106)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8650, 20651])).
% 5.37/4.14 tff(20653,plain,
% 5.37/4.14 (~node4(s106)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8654, 35, 20357])).
% 5.37/4.14 tff(20654,plain,
% 5.37/4.14 (xuntil6(s106) | (~until5(s106))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8661, 155, 20653])).
% 5.37/4.14 tff(20655,plain,
% 5.37/4.14 (xuntil6(s106)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20654, 20652])).
% 5.37/4.14 tff(20656,plain,
% 5.37/4.14 (until5(s107)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8667, 20655])).
% 5.37/4.14 tff(20657,plain,
% 5.37/4.14 (~node4(s107)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8671, 35, 20356])).
% 5.37/4.14 tff(20658,plain,
% 5.37/4.14 (xuntil6(s107) | (~until5(s107))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8678, 155, 20657])).
% 5.37/4.14 tff(20659,plain,
% 5.37/4.14 (xuntil6(s107)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20658, 20656])).
% 5.37/4.14 tff(20660,plain,
% 5.37/4.14 (until5(s108)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8684, 20659])).
% 5.37/4.14 tff(20661,plain,
% 5.37/4.14 (~node4(s108)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8688, 35, 20355])).
% 5.37/4.14 tff(20662,plain,
% 5.37/4.14 (xuntil6(s108) | (~until5(s108))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8695, 155, 20661])).
% 5.37/4.14 tff(20663,plain,
% 5.37/4.14 (xuntil6(s108)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20662, 20660])).
% 5.37/4.14 tff(20664,plain,
% 5.37/4.14 (until5(s109)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8701, 20663])).
% 5.37/4.14 tff(20665,plain,
% 5.37/4.14 (~node4(s109)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8705, 35, 20354])).
% 5.37/4.14 tff(20666,plain,
% 5.37/4.14 (xuntil6(s109) | (~until5(s109))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8712, 155, 20665])).
% 5.37/4.14 tff(20667,plain,
% 5.37/4.14 (xuntil6(s109)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20666, 20664])).
% 5.37/4.14 tff(20668,plain,
% 5.37/4.14 (until5(s110)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8718, 20667])).
% 5.37/4.14 tff(20669,plain,
% 5.37/4.14 (~node4(s110)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8722, 35, 20353])).
% 5.37/4.14 tff(20670,plain,
% 5.37/4.14 (xuntil6(s110) | (~until5(s110))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8729, 155, 20669])).
% 5.37/4.14 tff(20671,plain,
% 5.37/4.14 (xuntil6(s110)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20670, 20668])).
% 5.37/4.14 tff(20672,plain,
% 5.37/4.14 (until5(s111)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8735, 20671])).
% 5.37/4.14 tff(20673,plain,
% 5.37/4.14 (~node4(s111)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8739, 35, 20352])).
% 5.37/4.14 tff(20674,plain,
% 5.37/4.14 (xuntil6(s111) | (~until5(s111))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8746, 155, 20673])).
% 5.37/4.14 tff(20675,plain,
% 5.37/4.14 (xuntil6(s111)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20674, 20672])).
% 5.37/4.14 tff(20676,plain,
% 5.37/4.14 (until5(s112)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8752, 20675])).
% 5.37/4.14 tff(20677,plain,
% 5.37/4.14 (~node4(s112)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8756, 35, 20351])).
% 5.37/4.14 tff(20678,plain,
% 5.37/4.14 (xuntil6(s112) | (~until5(s112))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8763, 155, 20677])).
% 5.37/4.14 tff(20679,plain,
% 5.37/4.14 (xuntil6(s112)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20678, 20676])).
% 5.37/4.14 tff(20680,plain,
% 5.37/4.14 (until5(s113)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8769, 20679])).
% 5.37/4.14 tff(20681,plain,
% 5.37/4.14 (~node4(s113)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8773, 35, 20350])).
% 5.37/4.14 tff(20682,plain,
% 5.37/4.14 (xuntil6(s113) | (~until5(s113))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8780, 155, 20681])).
% 5.37/4.14 tff(20683,plain,
% 5.37/4.14 (xuntil6(s113)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20682, 20680])).
% 5.37/4.14 tff(20684,plain,
% 5.37/4.14 (until5(s114)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8786, 20683])).
% 5.37/4.14 tff(20685,plain,
% 5.37/4.14 (~node4(s114)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8790, 35, 20349])).
% 5.37/4.14 tff(20686,plain,
% 5.37/4.14 (xuntil6(s114) | (~until5(s114))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8797, 155, 20685])).
% 5.37/4.14 tff(20687,plain,
% 5.37/4.14 (xuntil6(s114)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20686, 20684])).
% 5.37/4.14 tff(20688,plain,
% 5.37/4.14 (until5(s115)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8803, 20687])).
% 5.37/4.14 tff(20689,plain,
% 5.37/4.14 (~node4(s115)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8807, 35, 20348])).
% 5.37/4.14 tff(20690,plain,
% 5.37/4.14 (xuntil6(s115) | (~until5(s115))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8814, 155, 20689])).
% 5.37/4.14 tff(20691,plain,
% 5.37/4.14 (xuntil6(s115)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20690, 20688])).
% 5.37/4.14 tff(20692,plain,
% 5.37/4.14 (until5(s116)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8820, 20691])).
% 5.37/4.14 tff(20693,plain,
% 5.37/4.14 (~node4(s116)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8824, 35, 20347])).
% 5.37/4.14 tff(20694,plain,
% 5.37/4.14 (xuntil6(s116) | (~until5(s116))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8831, 155, 20693])).
% 5.37/4.14 tff(20695,plain,
% 5.37/4.14 (xuntil6(s116)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20694, 20692])).
% 5.37/4.14 tff(20696,plain,
% 5.37/4.14 (until5(s117)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8837, 20695])).
% 5.37/4.14 tff(20697,plain,
% 5.37/4.14 (~node4(s117)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8841, 35, 20346])).
% 5.37/4.14 tff(20698,plain,
% 5.37/4.14 (xuntil6(s117) | (~until5(s117))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8848, 155, 20697])).
% 5.37/4.14 tff(20699,plain,
% 5.37/4.14 (xuntil6(s117)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20698, 20696])).
% 5.37/4.14 tff(20700,plain,
% 5.37/4.14 (until5(s118)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8854, 20699])).
% 5.37/4.14 tff(20701,plain,
% 5.37/4.14 (~node4(s118)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8858, 35, 20345])).
% 5.37/4.14 tff(20702,plain,
% 5.37/4.14 (xuntil6(s118) | (~until5(s118))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8865, 155, 20701])).
% 5.37/4.14 tff(20703,plain,
% 5.37/4.14 (xuntil6(s118)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20702, 20700])).
% 5.37/4.14 tff(20704,plain,
% 5.37/4.14 (until5(s119)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8871, 20703])).
% 5.37/4.14 tff(20705,plain,
% 5.37/4.14 (~node4(s119)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8875, 35, 20344])).
% 5.37/4.14 tff(20706,plain,
% 5.37/4.14 (xuntil6(s119) | (~until5(s119))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8882, 155, 20705])).
% 5.37/4.14 tff(20707,plain,
% 5.37/4.14 (xuntil6(s119)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20706, 20704])).
% 5.37/4.14 tff(20708,plain,
% 5.37/4.14 (until5(s120)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8888, 20707])).
% 5.37/4.14 tff(20709,plain,
% 5.37/4.14 (~node4(s120)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8892, 35, 20343])).
% 5.37/4.14 tff(20710,plain,
% 5.37/4.14 (xuntil6(s120) | (~until5(s120))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8899, 155, 20709])).
% 5.37/4.14 tff(20711,plain,
% 5.37/4.14 (xuntil6(s120)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20710, 20708])).
% 5.37/4.14 tff(20712,plain,
% 5.37/4.14 (until5(s121)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8905, 20711])).
% 5.37/4.14 tff(20713,plain,
% 5.37/4.14 (~node4(s121)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8909, 35, 20342])).
% 5.37/4.14 tff(20714,plain,
% 5.37/4.14 (xuntil6(s121) | (~until5(s121))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8916, 155, 20713])).
% 5.37/4.14 tff(20715,plain,
% 5.37/4.14 (xuntil6(s121)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20714, 20712])).
% 5.37/4.14 tff(20716,plain,
% 5.37/4.14 (until5(s122)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8922, 20715])).
% 5.37/4.14 tff(20717,plain,
% 5.37/4.14 (~node4(s122)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8926, 35, 20341])).
% 5.37/4.14 tff(20718,plain,
% 5.37/4.14 (xuntil6(s122) | (~until5(s122))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8933, 155, 20717])).
% 5.37/4.14 tff(20719,plain,
% 5.37/4.14 (xuntil6(s122)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20718, 20716])).
% 5.37/4.14 tff(20720,plain,
% 5.37/4.14 (until5(s123)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8939, 20719])).
% 5.37/4.14 tff(20721,plain,
% 5.37/4.14 (~node4(s123)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8943, 35, 20340])).
% 5.37/4.14 tff(20722,plain,
% 5.37/4.14 (xuntil6(s123) | (~until5(s123))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8950, 155, 20721])).
% 5.37/4.14 tff(20723,plain,
% 5.37/4.14 (xuntil6(s123)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20722, 20720])).
% 5.37/4.14 tff(20724,plain,
% 5.37/4.14 (until5(s124)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8956, 20723])).
% 5.37/4.14 tff(20725,plain,
% 5.37/4.14 (~node4(s124)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8960, 35, 20339])).
% 5.37/4.14 tff(20726,plain,
% 5.37/4.14 (xuntil6(s124) | (~until5(s124))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8967, 155, 20725])).
% 5.37/4.14 tff(20727,plain,
% 5.37/4.14 (xuntil6(s124)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20726, 20724])).
% 5.37/4.14 tff(20728,plain,
% 5.37/4.14 (until5(s125)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8973, 20727])).
% 5.37/4.14 tff(20729,plain,
% 5.37/4.14 (~node4(s125)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8977, 35, 20338])).
% 5.37/4.14 tff(20730,plain,
% 5.37/4.14 (xuntil6(s125) | (~until5(s125))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8984, 155, 20729])).
% 5.37/4.14 tff(20731,plain,
% 5.37/4.14 (xuntil6(s125)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20730, 20728])).
% 5.37/4.14 tff(20732,plain,
% 5.37/4.14 (until5(s126)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8990, 20731])).
% 5.37/4.14 tff(20733,plain,
% 5.37/4.14 (~node4(s126)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[8994, 35, 20337])).
% 5.37/4.14 tff(20734,plain,
% 5.37/4.14 (xuntil6(s126) | (~until5(s126))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9001, 155, 20733])).
% 5.37/4.14 tff(20735,plain,
% 5.37/4.14 (xuntil6(s126)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20734, 20732])).
% 5.37/4.14 tff(20736,plain,
% 5.37/4.14 (until5(s127)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9007, 20735])).
% 5.37/4.14 tff(20737,plain,
% 5.37/4.14 (~node4(s127)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9011, 35, 20336])).
% 5.37/4.14 tff(20738,plain,
% 5.37/4.14 (xuntil6(s127) | (~until5(s127))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9018, 155, 20737])).
% 5.37/4.14 tff(20739,plain,
% 5.37/4.14 (xuntil6(s127)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20738, 20736])).
% 5.37/4.14 tff(20740,plain,
% 5.37/4.14 (until5(s128)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9024, 20739])).
% 5.37/4.14 tff(20741,plain,
% 5.37/4.14 (~node4(s128)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9028, 35, 20335])).
% 5.37/4.14 tff(20742,plain,
% 5.37/4.14 (xuntil6(s128) | (~until5(s128))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9035, 155, 20741])).
% 5.37/4.14 tff(20743,plain,
% 5.37/4.14 (xuntil6(s128)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20742, 20740])).
% 5.37/4.14 tff(20744,plain,
% 5.37/4.14 (until5(s129)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9041, 20743])).
% 5.37/4.14 tff(20745,plain,
% 5.37/4.14 (~node4(s129)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9045, 35, 20334])).
% 5.37/4.14 tff(20746,plain,
% 5.37/4.14 (xuntil6(s129) | (~until5(s129))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9052, 155, 20745])).
% 5.37/4.14 tff(20747,plain,
% 5.37/4.14 (xuntil6(s129)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20746, 20744])).
% 5.37/4.14 tff(20748,plain,
% 5.37/4.14 (until5(s130)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9058, 20747])).
% 5.37/4.14 tff(20749,plain,
% 5.37/4.14 (~node4(s130)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9062, 35, 20333])).
% 5.37/4.14 tff(20750,plain,
% 5.37/4.14 (xuntil6(s130) | (~until5(s130))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9069, 155, 20749])).
% 5.37/4.14 tff(20751,plain,
% 5.37/4.14 (xuntil6(s130)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20750, 20748])).
% 5.37/4.14 tff(20752,plain,
% 5.37/4.14 (until5(s131)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9075, 20751])).
% 5.37/4.14 tff(20753,plain,
% 5.37/4.14 (~node4(s131)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9079, 35, 20332])).
% 5.37/4.14 tff(20754,plain,
% 5.37/4.14 (xuntil6(s131) | (~until5(s131))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9086, 155, 20753])).
% 5.37/4.14 tff(20755,plain,
% 5.37/4.14 (xuntil6(s131)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20754, 20752])).
% 5.37/4.14 tff(20756,plain,
% 5.37/4.14 (until5(s132)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9092, 20755])).
% 5.37/4.14 tff(20757,plain,
% 5.37/4.14 (~node4(s132)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9096, 35, 20331])).
% 5.37/4.14 tff(20758,plain,
% 5.37/4.14 (xuntil6(s132) | (~until5(s132))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9103, 155, 20757])).
% 5.37/4.14 tff(20759,plain,
% 5.37/4.14 (xuntil6(s132)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20758, 20756])).
% 5.37/4.14 tff(20760,plain,
% 5.37/4.14 (until5(s133)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9109, 20759])).
% 5.37/4.14 tff(20761,plain,
% 5.37/4.14 (~node4(s133)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9113, 35, 20330])).
% 5.37/4.14 tff(20762,plain,
% 5.37/4.14 (xuntil6(s133) | (~until5(s133))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9120, 155, 20761])).
% 5.37/4.14 tff(20763,plain,
% 5.37/4.14 (xuntil6(s133)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20762, 20760])).
% 5.37/4.14 tff(20764,plain,
% 5.37/4.14 (until5(s134)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9126, 20763])).
% 5.37/4.14 tff(20765,plain,
% 5.37/4.14 (~node4(s134)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9130, 35, 20329])).
% 5.37/4.14 tff(20766,plain,
% 5.37/4.14 (xuntil6(s134) | (~until5(s134))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9137, 155, 20765])).
% 5.37/4.14 tff(20767,plain,
% 5.37/4.14 (xuntil6(s134)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20766, 20764])).
% 5.37/4.14 tff(20768,plain,
% 5.37/4.14 (until5(s135)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9143, 20767])).
% 5.37/4.14 tff(20769,plain,
% 5.37/4.14 (~node4(s135)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9147, 35, 20328])).
% 5.37/4.14 tff(20770,plain,
% 5.37/4.14 (xuntil6(s135) | (~until5(s135))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9154, 155, 20769])).
% 5.37/4.14 tff(20771,plain,
% 5.37/4.14 (xuntil6(s135)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20770, 20768])).
% 5.37/4.14 tff(20772,plain,
% 5.37/4.14 (until5(s136)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9160, 20771])).
% 5.37/4.14 tff(20773,plain,
% 5.37/4.14 (~node4(s136)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9164, 35, 20327])).
% 5.37/4.14 tff(20774,plain,
% 5.37/4.14 (xuntil6(s136) | (~until5(s136))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9171, 155, 20773])).
% 5.37/4.14 tff(20775,plain,
% 5.37/4.14 (xuntil6(s136)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20774, 20772])).
% 5.37/4.14 tff(20776,plain,
% 5.37/4.14 (until5(s137)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9177, 20775])).
% 5.37/4.14 tff(20777,plain,
% 5.37/4.14 (~node4(s137)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9181, 35, 20326])).
% 5.37/4.14 tff(20778,plain,
% 5.37/4.14 (xuntil6(s137) | (~until5(s137))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9188, 155, 20777])).
% 5.37/4.14 tff(20779,plain,
% 5.37/4.14 (xuntil6(s137)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20778, 20776])).
% 5.37/4.14 tff(20780,plain,
% 5.37/4.14 (until5(s138)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9194, 20779])).
% 5.37/4.14 tff(20781,plain,
% 5.37/4.14 (~node4(s138)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9198, 35, 20325])).
% 5.37/4.14 tff(20782,plain,
% 5.37/4.14 (xuntil6(s138) | (~until5(s138))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9205, 155, 20781])).
% 5.37/4.14 tff(20783,plain,
% 5.37/4.14 (xuntil6(s138)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20782, 20780])).
% 5.37/4.14 tff(20784,plain,
% 5.37/4.14 (until5(s139)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9211, 20783])).
% 5.37/4.14 tff(20785,plain,
% 5.37/4.14 (~node4(s139)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9215, 35, 20324])).
% 5.37/4.14 tff(20786,plain,
% 5.37/4.14 (xuntil6(s139) | (~until5(s139))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9222, 155, 20785])).
% 5.37/4.14 tff(20787,plain,
% 5.37/4.14 (xuntil6(s139)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20786, 20784])).
% 5.37/4.14 tff(20788,plain,
% 5.37/4.14 (until5(s140)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9228, 20787])).
% 5.37/4.14 tff(20789,plain,
% 5.37/4.14 (~node4(s140)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9232, 35, 20323])).
% 5.37/4.14 tff(20790,plain,
% 5.37/4.14 (xuntil6(s140) | (~until5(s140))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9239, 155, 20789])).
% 5.37/4.14 tff(20791,plain,
% 5.37/4.14 (xuntil6(s140)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20790, 20788])).
% 5.37/4.14 tff(20792,plain,
% 5.37/4.14 (until5(s141)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9245, 20791])).
% 5.37/4.14 tff(20793,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[9249, 35, 20322])).
% 5.37/4.14 tff(20794,plain,
% 5.37/4.14 (xuntil6(s141) | (~until5(s141))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9256, 155, 20793])).
% 5.37/4.14 tff(20795,plain,
% 5.37/4.14 (xuntil6(s141)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20794, 20792])).
% 5.37/4.14 tff(20796,plain,
% 5.37/4.14 (until5(s142)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9262, 20795])).
% 5.37/4.14 tff(20797,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[9266, 35, 20321])).
% 5.37/4.14 tff(20798,plain,
% 5.37/4.14 (xuntil6(s142) | (~until5(s142))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9273, 155, 20797])).
% 5.37/4.14 tff(20799,plain,
% 5.37/4.14 (xuntil6(s142)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20798, 20796])).
% 5.37/4.14 tff(20800,plain,
% 5.37/4.14 (until5(s143)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9279, 20799])).
% 5.37/4.14 tff(20801,plain,
% 5.37/4.14 (~node4(s143)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9283, 35, 20320])).
% 5.37/4.14 tff(20802,plain,
% 5.37/4.14 (xuntil6(s143) | (~until5(s143))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9290, 155, 20801])).
% 5.37/4.14 tff(20803,plain,
% 5.37/4.14 (xuntil6(s143)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20802, 20800])).
% 5.37/4.14 tff(20804,plain,
% 5.37/4.14 (until5(s144)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9296, 20803])).
% 5.37/4.14 tff(20805,plain,
% 5.37/4.14 (~node4(s144)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9300, 35, 20319])).
% 5.37/4.14 tff(20806,plain,
% 5.37/4.14 (xuntil6(s144) | (~until5(s144))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9307, 155, 20805])).
% 5.37/4.14 tff(20807,plain,
% 5.37/4.14 (xuntil6(s144)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20806, 20804])).
% 5.37/4.14 tff(20808,plain,
% 5.37/4.14 (until5(s145)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9313, 20807])).
% 5.37/4.14 tff(20809,plain,
% 5.37/4.14 (~node4(s145)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9317, 35, 20318])).
% 5.37/4.14 tff(20810,plain,
% 5.37/4.14 (xuntil6(s145) | (~until5(s145))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9324, 155, 20809])).
% 5.37/4.14 tff(20811,plain,
% 5.37/4.14 (xuntil6(s145)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20810, 20808])).
% 5.37/4.14 tff(20812,plain,
% 5.37/4.14 (until5(s146)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9330, 20811])).
% 5.37/4.14 tff(20813,plain,
% 5.37/4.14 (~node4(s146)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9334, 35, 20317])).
% 5.37/4.14 tff(20814,plain,
% 5.37/4.14 (xuntil6(s146) | (~until5(s146))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9341, 155, 20813])).
% 5.37/4.14 tff(20815,plain,
% 5.37/4.14 (xuntil6(s146)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20814, 20812])).
% 5.37/4.14 tff(20816,plain,
% 5.37/4.14 (until5(s147)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9347, 20815])).
% 5.37/4.14 tff(20817,plain,
% 5.37/4.14 (~node4(s147)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9351, 35, 20316])).
% 5.37/4.14 tff(20818,plain,
% 5.37/4.14 (xuntil6(s147) | (~until5(s147))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9358, 155, 20817])).
% 5.37/4.14 tff(20819,plain,
% 5.37/4.14 (xuntil6(s147)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20818, 20816])).
% 5.37/4.14 tff(20820,plain,
% 5.37/4.14 (until5(s148)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9364, 20819])).
% 5.37/4.14 tff(20821,plain,
% 5.37/4.14 (~node4(s148)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9368, 35, 20315])).
% 5.37/4.14 tff(20822,plain,
% 5.37/4.14 (xuntil6(s148) | (~until5(s148))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9375, 155, 20821])).
% 5.37/4.14 tff(20823,plain,
% 5.37/4.14 (xuntil6(s148)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20822, 20820])).
% 5.37/4.14 tff(20824,plain,
% 5.37/4.14 (until5(s149)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9381, 20823])).
% 5.37/4.14 tff(20825,plain,
% 5.37/4.14 (~node4(s149)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9385, 35, 20314])).
% 5.37/4.14 tff(20826,plain,
% 5.37/4.14 (xuntil6(s149) | (~until5(s149))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9392, 155, 20825])).
% 5.37/4.14 tff(20827,plain,
% 5.37/4.14 (xuntil6(s149)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20826, 20824])).
% 5.37/4.14 tff(20828,plain,
% 5.37/4.14 (until5(s150)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9398, 20827])).
% 5.37/4.14 tff(20829,plain,
% 5.37/4.14 (~node4(s150)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9402, 35, 20313])).
% 5.37/4.14 tff(20830,plain,
% 5.37/4.14 (xuntil6(s150) | (~until5(s150))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9409, 155, 20829])).
% 5.37/4.14 tff(20831,plain,
% 5.37/4.14 (xuntil6(s150)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20830, 20828])).
% 5.37/4.14 tff(20832,plain,
% 5.37/4.14 (until5(s151)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9415, 20831])).
% 5.37/4.14 tff(20833,plain,
% 5.37/4.14 (~node4(s151)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9419, 35, 20312])).
% 5.37/4.14 tff(20834,plain,
% 5.37/4.14 (xuntil6(s151) | (~until5(s151))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9426, 155, 20833])).
% 5.37/4.14 tff(20835,plain,
% 5.37/4.14 (xuntil6(s151)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20834, 20832])).
% 5.37/4.14 tff(20836,plain,
% 5.37/4.14 (until5(s152)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9432, 20835])).
% 5.37/4.14 tff(20837,plain,
% 5.37/4.14 (~node4(s152)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9436, 35, 20311])).
% 5.37/4.14 tff(20838,plain,
% 5.37/4.14 (xuntil6(s152) | (~until5(s152))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9443, 155, 20837])).
% 5.37/4.14 tff(20839,plain,
% 5.37/4.14 (xuntil6(s152)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20838, 20836])).
% 5.37/4.14 tff(20840,plain,
% 5.37/4.14 (until5(s153)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9449, 20839])).
% 5.37/4.14 tff(20841,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[9453, 35, 20310])).
% 5.37/4.14 tff(20842,plain,
% 5.37/4.14 (xuntil6(s153) | (~until5(s153))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9460, 155, 20841])).
% 5.37/4.14 tff(20843,plain,
% 5.37/4.14 (xuntil6(s153)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20842, 20840])).
% 5.37/4.14 tff(20844,plain,
% 5.37/4.14 (until5(s154)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9466, 20843])).
% 5.37/4.14 tff(20845,plain,
% 5.37/4.14 (~node4(s154)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9470, 35, 20309])).
% 5.37/4.14 tff(20846,plain,
% 5.37/4.14 (xuntil6(s154) | (~until5(s154))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9477, 155, 20845])).
% 5.37/4.14 tff(20847,plain,
% 5.37/4.14 (xuntil6(s154)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20846, 20844])).
% 5.37/4.14 tff(20848,plain,
% 5.37/4.14 (until5(s155)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9483, 20847])).
% 5.37/4.14 tff(20849,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[9487, 35, 20308])).
% 5.37/4.14 tff(20850,plain,
% 5.37/4.14 (xuntil6(s155) | (~until5(s155))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9494, 155, 20849])).
% 5.37/4.14 tff(20851,plain,
% 5.37/4.14 (xuntil6(s155)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20850, 20848])).
% 5.37/4.14 tff(20852,plain,
% 5.37/4.14 (until5(s156)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9500, 20851])).
% 5.37/4.14 tff(20853,plain,
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% 5.37/4.14 inference(unit_resolution,[status(thm)],[9504, 35, 20307])).
% 5.37/4.14 tff(20854,plain,
% 5.37/4.14 (xuntil6(s156) | (~until5(s156))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9511, 155, 20853])).
% 5.37/4.14 tff(20855,plain,
% 5.37/4.14 (xuntil6(s156)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20854, 20852])).
% 5.37/4.14 tff(20856,plain,
% 5.37/4.14 (until5(s157)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9517, 20855])).
% 5.37/4.14 tff(20857,plain,
% 5.37/4.14 (~node4(s157)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9521, 35, 20306])).
% 5.37/4.14 tff(20858,plain,
% 5.37/4.14 (xuntil6(s157) | (~until5(s157))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9528, 155, 20857])).
% 5.37/4.14 tff(20859,plain,
% 5.37/4.14 (xuntil6(s157)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20858, 20856])).
% 5.37/4.14 tff(20860,plain,
% 5.37/4.14 (until5(s158)),
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% 5.37/4.14 tff(20861,plain,
% 5.37/4.14 (~node4(s158)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9538, 35, 20305])).
% 5.37/4.14 tff(20862,plain,
% 5.37/4.14 (xuntil6(s158) | (~until5(s158))),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[9545, 155, 20861])).
% 5.37/4.14 tff(20863,plain,
% 5.37/4.14 (xuntil6(s158)),
% 5.37/4.14 inference(unit_resolution,[status(thm)],[20862, 20860])).
% 5.37/4.14 tff(20864,plain,
% 5.37/4.14 (until5(s159)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9551, 20863])).
% 5.37/4.15 tff(20865,plain,
% 5.37/4.15 (~node4(s159)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9555, 35, 20304])).
% 5.37/4.15 tff(20866,plain,
% 5.37/4.15 (xuntil6(s159) | (~until5(s159))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9562, 155, 20865])).
% 5.37/4.15 tff(20867,plain,
% 5.37/4.15 (xuntil6(s159)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20866, 20864])).
% 5.37/4.15 tff(20868,plain,
% 5.37/4.15 (until5(s160)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9568, 20867])).
% 5.37/4.15 tff(20869,plain,
% 5.37/4.15 (~node4(s160)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9572, 35, 20303])).
% 5.37/4.15 tff(20870,plain,
% 5.37/4.15 (xuntil6(s160) | (~until5(s160))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9579, 155, 20869])).
% 5.37/4.15 tff(20871,plain,
% 5.37/4.15 (xuntil6(s160)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20870, 20868])).
% 5.37/4.15 tff(20872,plain,
% 5.37/4.15 (until5(s161)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9585, 20871])).
% 5.37/4.15 tff(20873,plain,
% 5.37/4.15 (~node4(s161)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9589, 35, 20302])).
% 5.37/4.15 tff(20874,plain,
% 5.37/4.15 (xuntil6(s161) | (~until5(s161))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9596, 155, 20873])).
% 5.37/4.15 tff(20875,plain,
% 5.37/4.15 (xuntil6(s161)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20874, 20872])).
% 5.37/4.15 tff(20876,plain,
% 5.37/4.15 (until5(s162)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9602, 20875])).
% 5.37/4.15 tff(20877,plain,
% 5.37/4.15 (~node4(s162)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9606, 35, 20301])).
% 5.37/4.15 tff(20878,plain,
% 5.37/4.15 (xuntil6(s162) | (~until5(s162))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9613, 155, 20877])).
% 5.37/4.15 tff(20879,plain,
% 5.37/4.15 (xuntil6(s162)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20878, 20876])).
% 5.37/4.15 tff(20880,plain,
% 5.37/4.15 (until5(s163)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9619, 20879])).
% 5.37/4.15 tff(20881,plain,
% 5.37/4.15 (~node4(s163)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9623, 35, 20300])).
% 5.37/4.15 tff(20882,plain,
% 5.37/4.15 (xuntil6(s163) | (~until5(s163))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9630, 155, 20881])).
% 5.37/4.15 tff(20883,plain,
% 5.37/4.15 (xuntil6(s163)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20882, 20880])).
% 5.37/4.15 tff(20884,plain,
% 5.37/4.15 (until5(s164)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9636, 20883])).
% 5.37/4.15 tff(20885,plain,
% 5.37/4.15 (~node4(s164)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9640, 35, 20299])).
% 5.37/4.15 tff(20886,plain,
% 5.37/4.15 (xuntil6(s164) | (~until5(s164))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9647, 155, 20885])).
% 5.37/4.15 tff(20887,plain,
% 5.37/4.15 (xuntil6(s164)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20886, 20884])).
% 5.37/4.15 tff(20888,plain,
% 5.37/4.15 (until5(s165)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9653, 20887])).
% 5.37/4.15 tff(20889,plain,
% 5.37/4.15 (~node4(s165)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9657, 35, 20298])).
% 5.37/4.15 tff(20890,plain,
% 5.37/4.15 (xuntil6(s165) | (~until5(s165))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9664, 155, 20889])).
% 5.37/4.15 tff(20891,plain,
% 5.37/4.15 (xuntil6(s165)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20890, 20888])).
% 5.37/4.15 tff(20892,plain,
% 5.37/4.15 (until5(s166)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9670, 20891])).
% 5.37/4.15 tff(20893,plain,
% 5.37/4.15 (~node4(s166)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9674, 35, 20297])).
% 5.37/4.15 tff(20894,plain,
% 5.37/4.15 (xuntil6(s166) | (~until5(s166))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9681, 155, 20893])).
% 5.37/4.15 tff(20895,plain,
% 5.37/4.15 (xuntil6(s166)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20894, 20892])).
% 5.37/4.15 tff(20896,plain,
% 5.37/4.15 (until5(s167)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9687, 20895])).
% 5.37/4.15 tff(20897,plain,
% 5.37/4.15 (~node4(s167)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9691, 35, 20296])).
% 5.37/4.15 tff(20898,plain,
% 5.37/4.15 (xuntil6(s167) | (~until5(s167))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9698, 155, 20897])).
% 5.37/4.15 tff(20899,plain,
% 5.37/4.15 (xuntil6(s167)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20898, 20896])).
% 5.37/4.15 tff(20900,plain,
% 5.37/4.15 (until5(s168)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9704, 20899])).
% 5.37/4.15 tff(20901,plain,
% 5.37/4.15 (~node4(s168)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9708, 35, 20295])).
% 5.37/4.15 tff(20902,plain,
% 5.37/4.15 (xuntil6(s168) | (~until5(s168))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9715, 155, 20901])).
% 5.37/4.15 tff(20903,plain,
% 5.37/4.15 (xuntil6(s168)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20902, 20900])).
% 5.37/4.15 tff(20904,plain,
% 5.37/4.15 (until5(s169)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9721, 20903])).
% 5.37/4.15 tff(20905,plain,
% 5.37/4.15 (~node4(s169)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9725, 35, 20294])).
% 5.37/4.15 tff(20906,plain,
% 5.37/4.15 (xuntil6(s169) | (~until5(s169))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9732, 155, 20905])).
% 5.37/4.15 tff(20907,plain,
% 5.37/4.15 (xuntil6(s169)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20906, 20904])).
% 5.37/4.15 tff(20908,plain,
% 5.37/4.15 (until5(s170)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9738, 20907])).
% 5.37/4.15 tff(20909,plain,
% 5.37/4.15 (~node4(s170)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9742, 35, 20293])).
% 5.37/4.15 tff(20910,plain,
% 5.37/4.15 (xuntil6(s170) | (~until5(s170))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9749, 155, 20909])).
% 5.37/4.15 tff(20911,plain,
% 5.37/4.15 (xuntil6(s170)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20910, 20908])).
% 5.37/4.15 tff(20912,plain,
% 5.37/4.15 (until5(s171)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9755, 20911])).
% 5.37/4.15 tff(20913,plain,
% 5.37/4.15 (~node4(s171)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9759, 35, 20292])).
% 5.37/4.15 tff(20914,plain,
% 5.37/4.15 (xuntil6(s171) | (~until5(s171))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9766, 155, 20913])).
% 5.37/4.15 tff(20915,plain,
% 5.37/4.15 (xuntil6(s171)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20914, 20912])).
% 5.37/4.15 tff(20916,plain,
% 5.37/4.15 (until5(s172)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9772, 20915])).
% 5.37/4.15 tff(20917,plain,
% 5.37/4.15 (~node4(s172)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9776, 35, 20291])).
% 5.37/4.15 tff(20918,plain,
% 5.37/4.15 (xuntil6(s172) | (~until5(s172))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9783, 155, 20917])).
% 5.37/4.15 tff(20919,plain,
% 5.37/4.15 (xuntil6(s172)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20918, 20916])).
% 5.37/4.15 tff(20920,plain,
% 5.37/4.15 (until5(s173)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9789, 20919])).
% 5.37/4.15 tff(20921,plain,
% 5.37/4.15 (~node4(s173)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9793, 35, 20290])).
% 5.37/4.15 tff(20922,plain,
% 5.37/4.15 (xuntil6(s173) | (~until5(s173))),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[9800, 155, 20921])).
% 5.37/4.15 tff(20923,plain,
% 5.37/4.15 ($false),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20922, 20920, 20289])).
% 5.37/4.15 tff(20924,plain,(loop | (~until5(s47))), inference(lemma,lemma(discharge,[]))).
% 5.37/4.15 tff(20925,plain,
% 5.37/4.15 (loop),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20924, 19631])).
% 5.37/4.15 tff(20926,assumption,(~until2p7(s131)), introduced(assumption)).
% 5.37/4.15 tff(20927,assumption,(trans(s299, s131)), introduced(assumption)).
% 5.37/4.15 tff(20928,plain,
% 5.37/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s131) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s131)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s131)))),
% 5.37/4.15 inference(rewrite,[status(thm)],[])).
% 5.37/4.15 tff(20929,plain,
% 5.37/4.15 (((~trans(s299, s131)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s131)) <=> (until2p7(s131) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s131)))),
% 5.37/4.15 inference(rewrite,[status(thm)],[])).
% 5.37/4.15 tff(20930,plain,
% 5.37/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s131)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s131) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s131))))),
% 5.37/4.15 inference(monotonicity,[status(thm)],[20929])).
% 5.37/4.15 tff(20931,plain,
% 5.37/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s131)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s131))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s131)))),
% 5.37/4.15 inference(transitivity,[status(thm)],[20930, 20928])).
% 5.37/4.15 tff(20932,plain,
% 5.37/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s131)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s131))),
% 5.37/4.15 inference(quant_inst,[status(thm)],[])).
% 5.37/4.15 tff(20933,plain,
% 5.37/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s131) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s131))),
% 5.37/4.15 inference(modus_ponens,[status(thm)],[20932, 20931])).
% 5.37/4.15 tff(20934,plain,
% 5.37/4.15 ($false),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20933, 12455, 20927, 12541, 20926, 15747])).
% 5.37/4.15 tff(20935,plain,((~trans(s299, s131)) | until2p7(s131) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.37/4.15 tff(20936,plain,
% 5.37/4.15 (~trans(s299, s131)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20935, 14570, 12444])).
% 5.37/4.15 tff(20937,assumption,(~until2p7(s299)), introduced(assumption)).
% 5.37/4.15 tff(20938,assumption,(trans(s299, s299)), introduced(assumption)).
% 5.37/4.15 tff(20939,plain,
% 5.37/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s299) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s299)))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s299)))),
% 5.37/4.15 inference(rewrite,[status(thm)],[])).
% 5.37/4.15 tff(20940,plain,
% 5.37/4.15 (((~trans(s299, s299)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s299)) <=> (until2p7(s299) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s299)))),
% 5.37/4.15 inference(rewrite,[status(thm)],[])).
% 5.37/4.15 tff(20941,plain,
% 5.37/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s299)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | (until2p7(s299) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s299))))),
% 5.37/4.15 inference(monotonicity,[status(thm)],[20940])).
% 5.37/4.15 tff(20942,plain,
% 5.37/4.15 (((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s299)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s299))) <=> ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s299)))),
% 5.37/4.15 inference(transitivity,[status(thm)],[20941, 20939])).
% 5.37/4.15 tff(20943,plain,
% 5.37/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | ((~trans(s299, s299)) | (~last(s299)) | (~xuntil6(s299)) | until2p7(s299))),
% 5.37/4.15 inference(quant_inst,[status(thm)],[])).
% 5.37/4.15 tff(20944,plain,
% 5.37/4.15 ((~![Y: $i, X: $i] : ((~trans(X, Y)) | (~last(X)) | (~xuntil6(X)) | until2p7(Y))) | until2p7(s299) | (~last(s299)) | (~xuntil6(s299)) | (~trans(s299, s299))),
% 5.37/4.15 inference(modus_ponens,[status(thm)],[20943, 20942])).
% 5.37/4.15 tff(20945,plain,
% 5.37/4.15 ($false),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20944, 12455, 20938, 12541, 20937, 15747])).
% 5.37/4.15 tff(20946,plain,((~trans(s299, s299)) | until2p7(s299) | (~xuntil6(s299))), inference(lemma,lemma(discharge,[]))).
% 5.37/4.15 tff(20947,plain,
% 5.37/4.15 (~trans(s299, s299)),
% 5.37/4.15 inference(unit_resolution,[status(thm)],[20946, 12474, 12444])).
% 5.37/4.15 tff(20948,plain,
% 5.37/4.15 (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298) | trans(s299, s299)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298) | trans(s299, s299))),
% 5.37/4.16 inference(rewrite,[status(thm)],[])).
% 5.37/4.16 tff(20949,plain,
% 5.37/4.16 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298)) | trans(s299, s299)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298) | trans(s299, s299))),
% 5.37/4.17 inference(rewrite,[status(thm)],[])).
% 5.37/4.17 tff(20950,plain,
% 5.37/4.17 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297)) | trans(s299, s298)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297) | trans(s299, s298))),
% 5.37/4.18 inference(rewrite,[status(thm)],[])).
% 5.37/4.18 tff(20951,plain,
% 5.37/4.18 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296)) | trans(s299, s297)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296) | trans(s299, s297))),
% 5.37/4.19 inference(rewrite,[status(thm)],[])).
% 5.37/4.19 tff(20952,plain,
% 5.37/4.19 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295)) | trans(s299, s296)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296))),
% 5.37/4.19 inference(rewrite,[status(thm)],[])).
% 5.37/4.19 tff(20953,plain,
% 5.37/4.19 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294)) | trans(s299, s295)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295))),
% 5.37/4.20 inference(rewrite,[status(thm)],[])).
% 5.37/4.20 tff(20954,plain,
% 5.37/4.20 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293)) | trans(s299, s294)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294))),
% 5.37/4.21 inference(rewrite,[status(thm)],[])).
% 5.37/4.21 tff(20955,plain,
% 5.37/4.21 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292)) | trans(s299, s293)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293))),
% 5.37/4.22 inference(rewrite,[status(thm)],[])).
% 5.37/4.22 tff(20956,plain,
% 5.37/4.22 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291)) | trans(s299, s292)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292))),
% 5.37/4.23 inference(rewrite,[status(thm)],[])).
% 5.37/4.23 tff(20957,plain,
% 5.37/4.23 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290)) | trans(s299, s291)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291))),
% 5.47/4.24 inference(rewrite,[status(thm)],[])).
% 5.47/4.24 tff(20958,plain,
% 5.47/4.24 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289)) | trans(s299, s290)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290))),
% 5.47/4.25 inference(rewrite,[status(thm)],[])).
% 5.47/4.25 tff(20959,plain,
% 5.47/4.25 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288)) | trans(s299, s289)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289))),
% 5.47/4.25 inference(rewrite,[status(thm)],[])).
% 5.47/4.25 tff(20960,plain,
% 5.47/4.25 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287)) | trans(s299, s288)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288))),
% 5.47/4.26 inference(rewrite,[status(thm)],[])).
% 5.47/4.26 tff(20961,plain,
% 5.47/4.26 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286)) | trans(s299, s287)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287))),
% 5.47/4.27 inference(rewrite,[status(thm)],[])).
% 5.47/4.27 tff(20962,plain,
% 5.47/4.27 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285)) | trans(s299, s286)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286))),
% 5.47/4.28 inference(rewrite,[status(thm)],[])).
% 5.47/4.28 tff(20963,plain,
% 5.47/4.28 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284)) | trans(s299, s285)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285))),
% 5.47/4.29 inference(rewrite,[status(thm)],[])).
% 5.47/4.29 tff(20964,plain,
% 5.47/4.29 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283)) | trans(s299, s284)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284))),
% 5.53/4.30 inference(rewrite,[status(thm)],[])).
% 5.53/4.30 tff(20965,plain,
% 5.53/4.30 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282)) | trans(s299, s283)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283))),
% 5.53/4.31 inference(rewrite,[status(thm)],[])).
% 5.53/4.31 tff(20966,plain,
% 5.53/4.31 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281)) | trans(s299, s282)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282))),
% 5.53/4.31 inference(rewrite,[status(thm)],[])).
% 5.53/4.31 tff(20967,plain,
% 5.53/4.31 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280)) | trans(s299, s281)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281))),
% 5.53/4.32 inference(rewrite,[status(thm)],[])).
% 5.53/4.32 tff(20968,plain,
% 5.53/4.32 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279)) | trans(s299, s280)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280))),
% 5.53/4.33 inference(rewrite,[status(thm)],[])).
% 5.53/4.33 tff(20969,plain,
% 5.53/4.33 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278)) | trans(s299, s279)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279))),
% 5.53/4.34 inference(rewrite,[status(thm)],[])).
% 5.53/4.34 tff(20970,plain,
% 5.53/4.34 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277)) | trans(s299, s278)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278))),
% 5.53/4.35 inference(rewrite,[status(thm)],[])).
% 5.53/4.35 tff(20971,plain,
% 5.53/4.35 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276)) | trans(s299, s277)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277))),
% 5.60/4.36 inference(rewrite,[status(thm)],[])).
% 5.60/4.36 tff(20972,plain,
% 5.60/4.36 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275)) | trans(s299, s276)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276))),
% 5.60/4.37 inference(rewrite,[status(thm)],[])).
% 5.60/4.37 tff(20973,plain,
% 5.60/4.37 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274)) | trans(s299, s275)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275))),
% 5.60/4.38 inference(rewrite,[status(thm)],[])).
% 5.60/4.38 tff(20974,plain,
% 5.60/4.38 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273)) | trans(s299, s274)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274))),
% 5.60/4.38 inference(rewrite,[status(thm)],[])).
% 5.60/4.38 tff(20975,plain,
% 5.60/4.38 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272)) | trans(s299, s273)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273))),
% 5.60/4.39 inference(rewrite,[status(thm)],[])).
% 5.60/4.39 tff(20976,plain,
% 5.60/4.39 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271)) | trans(s299, s272)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272))),
% 5.64/4.40 inference(rewrite,[status(thm)],[])).
% 5.64/4.40 tff(20977,plain,
% 5.64/4.40 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270)) | trans(s299, s271)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271))),
% 5.64/4.41 inference(rewrite,[status(thm)],[])).
% 5.64/4.41 tff(20978,plain,
% 5.64/4.41 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269)) | trans(s299, s270)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270))),
% 5.64/4.42 inference(rewrite,[status(thm)],[])).
% 5.64/4.42 tff(20979,plain,
% 5.64/4.42 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268)) | trans(s299, s269)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269))),
% 5.64/4.42 inference(rewrite,[status(thm)],[])).
% 5.64/4.42 tff(20980,plain,
% 5.64/4.42 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267)) | trans(s299, s268)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268))),
% 5.64/4.43 inference(rewrite,[status(thm)],[])).
% 5.64/4.43 tff(20981,plain,
% 5.64/4.43 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266)) | trans(s299, s267)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267))),
% 5.67/4.44 inference(rewrite,[status(thm)],[])).
% 5.67/4.44 tff(20982,plain,
% 5.67/4.44 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265)) | trans(s299, s266)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266))),
% 5.67/4.45 inference(rewrite,[status(thm)],[])).
% 5.67/4.45 tff(20983,plain,
% 5.67/4.45 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264)) | trans(s299, s265)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265))),
% 5.67/4.46 inference(rewrite,[status(thm)],[])).
% 5.67/4.46 tff(20984,plain,
% 5.67/4.46 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263)) | trans(s299, s264)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264))),
% 5.67/4.46 inference(rewrite,[status(thm)],[])).
% 5.67/4.46 tff(20985,plain,
% 5.67/4.46 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262)) | trans(s299, s263)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263))),
% 5.67/4.47 inference(rewrite,[status(thm)],[])).
% 5.67/4.47 tff(20986,plain,
% 5.67/4.47 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261)) | trans(s299, s262)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262))),
% 5.67/4.48 inference(rewrite,[status(thm)],[])).
% 5.67/4.48 tff(20987,plain,
% 5.67/4.48 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260)) | trans(s299, s261)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261))),
% 5.67/4.49 inference(rewrite,[status(thm)],[])).
% 5.67/4.49 tff(20988,plain,
% 5.67/4.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259)) | trans(s299, s260)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260))),
% 5.67/4.50 inference(rewrite,[status(thm)],[])).
% 5.67/4.50 tff(20989,plain,
% 5.67/4.50 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258)) | trans(s299, s259)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259))),
% 5.67/4.51 inference(rewrite,[status(thm)],[])).
% 5.67/4.51 tff(20990,plain,
% 5.67/4.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257)) | trans(s299, s258)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258))),
% 5.67/4.51 inference(rewrite,[status(thm)],[])).
% 5.67/4.51 tff(20991,plain,
% 5.67/4.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256)) | trans(s299, s257)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257))),
% 5.67/4.52 inference(rewrite,[status(thm)],[])).
% 5.67/4.52 tff(20992,plain,
% 5.67/4.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255)) | trans(s299, s256)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256))),
% 5.67/4.53 inference(rewrite,[status(thm)],[])).
% 5.67/4.53 tff(20993,plain,
% 5.67/4.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254)) | trans(s299, s255)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255))),
% 5.77/4.54 inference(rewrite,[status(thm)],[])).
% 5.77/4.54 tff(20994,plain,
% 5.77/4.54 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253)) | trans(s299, s254)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254))),
% 5.77/4.54 inference(rewrite,[status(thm)],[])).
% 5.77/4.54 tff(20995,plain,
% 5.77/4.54 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252)) | trans(s299, s253)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253))),
% 5.77/4.55 inference(rewrite,[status(thm)],[])).
% 5.77/4.55 tff(20996,plain,
% 5.77/4.55 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251)) | trans(s299, s252)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252))),
% 5.77/4.56 inference(rewrite,[status(thm)],[])).
% 5.77/4.56 tff(20997,plain,
% 5.77/4.56 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250)) | trans(s299, s251)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251))),
% 5.77/4.57 inference(rewrite,[status(thm)],[])).
% 5.77/4.57 tff(20998,plain,
% 5.77/4.57 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249)) | trans(s299, s250)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250))),
% 5.77/4.57 inference(rewrite,[status(thm)],[])).
% 5.77/4.57 tff(20999,plain,
% 5.77/4.57 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248)) | trans(s299, s249)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249))),
% 5.77/4.58 inference(rewrite,[status(thm)],[])).
% 5.77/4.58 tff(21000,plain,
% 5.77/4.58 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247)) | trans(s299, s248)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248))),
% 5.77/4.59 inference(rewrite,[status(thm)],[])).
% 5.77/4.59 tff(21001,plain,
% 5.77/4.59 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246)) | trans(s299, s247)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247))),
% 5.83/4.60 inference(rewrite,[status(thm)],[])).
% 5.83/4.60 tff(21002,plain,
% 5.83/4.60 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245)) | trans(s299, s246)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246))),
% 5.83/4.61 inference(rewrite,[status(thm)],[])).
% 5.83/4.61 tff(21003,plain,
% 5.83/4.61 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244)) | trans(s299, s245)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245))),
% 5.83/4.61 inference(rewrite,[status(thm)],[])).
% 5.83/4.61 tff(21004,plain,
% 5.83/4.61 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243)) | trans(s299, s244)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244))),
% 5.83/4.62 inference(rewrite,[status(thm)],[])).
% 5.83/4.62 tff(21005,plain,
% 5.83/4.62 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242)) | trans(s299, s243)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243))),
% 5.83/4.63 inference(rewrite,[status(thm)],[])).
% 5.83/4.63 tff(21006,plain,
% 5.83/4.63 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241)) | trans(s299, s242)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242))),
% 5.83/4.63 inference(rewrite,[status(thm)],[])).
% 5.83/4.63 tff(21007,plain,
% 5.83/4.63 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240)) | trans(s299, s241)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241))),
% 5.83/4.64 inference(rewrite,[status(thm)],[])).
% 5.83/4.64 tff(21008,plain,
% 5.83/4.64 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239)) | trans(s299, s240)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240))),
% 5.83/4.65 inference(rewrite,[status(thm)],[])).
% 5.83/4.65 tff(21009,plain,
% 5.83/4.65 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238)) | trans(s299, s239)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239))),
% 5.83/4.66 inference(rewrite,[status(thm)],[])).
% 5.83/4.66 tff(21010,plain,
% 5.83/4.66 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237)) | trans(s299, s238)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238))),
% 5.83/4.66 inference(rewrite,[status(thm)],[])).
% 5.83/4.66 tff(21011,plain,
% 5.83/4.66 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236)) | trans(s299, s237)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237))),
% 5.83/4.67 inference(rewrite,[status(thm)],[])).
% 5.83/4.67 tff(21012,plain,
% 5.83/4.67 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235)) | trans(s299, s236)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236))),
% 5.83/4.68 inference(rewrite,[status(thm)],[])).
% 5.83/4.68 tff(21013,plain,
% 5.83/4.68 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234)) | trans(s299, s235)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235))),
% 5.92/4.69 inference(rewrite,[status(thm)],[])).
% 5.92/4.69 tff(21014,plain,
% 5.92/4.69 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233)) | trans(s299, s234)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234))),
% 5.92/4.69 inference(rewrite,[status(thm)],[])).
% 5.92/4.69 tff(21015,plain,
% 5.92/4.69 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232)) | trans(s299, s233)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233))),
% 5.92/4.70 inference(rewrite,[status(thm)],[])).
% 5.92/4.70 tff(21016,plain,
% 5.92/4.70 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231)) | trans(s299, s232)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232))),
% 5.92/4.71 inference(rewrite,[status(thm)],[])).
% 5.92/4.71 tff(21017,plain,
% 5.92/4.71 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230)) | trans(s299, s231)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231))),
% 5.92/4.72 inference(rewrite,[status(thm)],[])).
% 5.92/4.72 tff(21018,plain,
% 5.92/4.72 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229)) | trans(s299, s230)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230))),
% 5.96/4.72 inference(rewrite,[status(thm)],[])).
% 5.96/4.72 tff(21019,plain,
% 5.96/4.72 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228)) | trans(s299, s229)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229))),
% 5.96/4.73 inference(rewrite,[status(thm)],[])).
% 5.96/4.73 tff(21020,plain,
% 5.96/4.73 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227)) | trans(s299, s228)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228))),
% 5.97/4.74 inference(rewrite,[status(thm)],[])).
% 5.97/4.74 tff(21021,plain,
% 5.97/4.74 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226)) | trans(s299, s227)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227))),
% 5.97/4.74 inference(rewrite,[status(thm)],[])).
% 5.97/4.74 tff(21022,plain,
% 5.97/4.74 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225)) | trans(s299, s226)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226))),
% 5.97/4.75 inference(rewrite,[status(thm)],[])).
% 5.97/4.75 tff(21023,plain,
% 5.97/4.75 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224)) | trans(s299, s225)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225))),
% 5.97/4.76 inference(rewrite,[status(thm)],[])).
% 5.97/4.76 tff(21024,plain,
% 5.97/4.76 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223)) | trans(s299, s224)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224))),
% 5.97/4.77 inference(rewrite,[status(thm)],[])).
% 5.97/4.77 tff(21025,plain,
% 5.97/4.77 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222)) | trans(s299, s223)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223))),
% 5.97/4.77 inference(rewrite,[status(thm)],[])).
% 5.97/4.77 tff(21026,plain,
% 5.97/4.77 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221)) | trans(s299, s222)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222))),
% 5.97/4.78 inference(rewrite,[status(thm)],[])).
% 5.97/4.78 tff(21027,plain,
% 5.97/4.78 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220)) | trans(s299, s221)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221))),
% 5.97/4.79 inference(rewrite,[status(thm)],[])).
% 5.97/4.79 tff(21028,plain,
% 5.97/4.79 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219)) | trans(s299, s220)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220))),
% 5.97/4.79 inference(rewrite,[status(thm)],[])).
% 5.97/4.79 tff(21029,plain,
% 5.97/4.79 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218)) | trans(s299, s219)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219))),
% 5.97/4.80 inference(rewrite,[status(thm)],[])).
% 5.97/4.80 tff(21030,plain,
% 5.97/4.80 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217)) | trans(s299, s218)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218))),
% 5.97/4.81 inference(rewrite,[status(thm)],[])).
% 5.97/4.81 tff(21031,plain,
% 5.97/4.81 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216)) | trans(s299, s217)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217))),
% 6.05/4.81 inference(rewrite,[status(thm)],[])).
% 6.05/4.81 tff(21032,plain,
% 6.05/4.81 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215)) | trans(s299, s216)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216))),
% 6.05/4.82 inference(rewrite,[status(thm)],[])).
% 6.05/4.82 tff(21033,plain,
% 6.05/4.82 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214)) | trans(s299, s215)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215))),
% 6.05/4.83 inference(rewrite,[status(thm)],[])).
% 6.05/4.83 tff(21034,plain,
% 6.05/4.83 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213)) | trans(s299, s214)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214))),
% 6.05/4.83 inference(rewrite,[status(thm)],[])).
% 6.05/4.83 tff(21035,plain,
% 6.05/4.83 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212)) | trans(s299, s213)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213))),
% 6.05/4.84 inference(rewrite,[status(thm)],[])).
% 6.05/4.84 tff(21036,plain,
% 6.05/4.84 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211)) | trans(s299, s212)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212))),
% 6.05/4.85 inference(rewrite,[status(thm)],[])).
% 6.05/4.85 tff(21037,plain,
% 6.05/4.85 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210)) | trans(s299, s211)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211))),
% 6.05/4.85 inference(rewrite,[status(thm)],[])).
% 6.05/4.85 tff(21038,plain,
% 6.05/4.85 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209)) | trans(s299, s210)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210))),
% 6.05/4.86 inference(rewrite,[status(thm)],[])).
% 6.05/4.86 tff(21039,plain,
% 6.05/4.86 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208)) | trans(s299, s209)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209))),
% 6.05/4.86 inference(rewrite,[status(thm)],[])).
% 6.05/4.86 tff(21040,plain,
% 6.05/4.86 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207)) | trans(s299, s208)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208))),
% 6.05/4.87 inference(rewrite,[status(thm)],[])).
% 6.05/4.87 tff(21041,plain,
% 6.05/4.87 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206)) | trans(s299, s207)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207))),
% 6.11/4.88 inference(rewrite,[status(thm)],[])).
% 6.11/4.88 tff(21042,plain,
% 6.11/4.88 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205)) | trans(s299, s206)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206))),
% 6.11/4.88 inference(rewrite,[status(thm)],[])).
% 6.11/4.88 tff(21043,plain,
% 6.11/4.88 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204)) | trans(s299, s205)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205))),
% 6.11/4.89 inference(rewrite,[status(thm)],[])).
% 6.11/4.89 tff(21044,plain,
% 6.11/4.89 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203)) | trans(s299, s204)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204))),
% 6.11/4.90 inference(rewrite,[status(thm)],[])).
% 6.11/4.90 tff(21045,plain,
% 6.11/4.90 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202)) | trans(s299, s203)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203))),
% 6.11/4.90 inference(rewrite,[status(thm)],[])).
% 6.11/4.90 tff(21046,plain,
% 6.11/4.90 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201)) | trans(s299, s202)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202))),
% 6.11/4.91 inference(rewrite,[status(thm)],[])).
% 6.11/4.91 tff(21047,plain,
% 6.11/4.91 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200)) | trans(s299, s201)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201))),
% 6.11/4.91 inference(rewrite,[status(thm)],[])).
% 6.11/4.91 tff(21048,plain,
% 6.11/4.91 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199)) | trans(s299, s200)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200))),
% 6.11/4.92 inference(rewrite,[status(thm)],[])).
% 6.11/4.92 tff(21049,plain,
% 6.11/4.92 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198)) | trans(s299, s199)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199))),
% 6.11/4.93 inference(rewrite,[status(thm)],[])).
% 6.11/4.93 tff(21050,plain,
% 6.11/4.93 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197)) | trans(s299, s198)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198))),
% 6.11/4.93 inference(rewrite,[status(thm)],[])).
% 6.11/4.93 tff(21051,plain,
% 6.11/4.93 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196)) | trans(s299, s197)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197))),
% 6.11/4.94 inference(rewrite,[status(thm)],[])).
% 6.11/4.94 tff(21052,plain,
% 6.11/4.94 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195)) | trans(s299, s196)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196))),
% 6.11/4.94 inference(rewrite,[status(thm)],[])).
% 6.11/4.94 tff(21053,plain,
% 6.11/4.94 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194)) | trans(s299, s195)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195))),
% 6.11/4.95 inference(rewrite,[status(thm)],[])).
% 6.11/4.95 tff(21054,plain,
% 6.11/4.95 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193)) | trans(s299, s194)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194))),
% 6.11/4.95 inference(rewrite,[status(thm)],[])).
% 6.11/4.95 tff(21055,plain,
% 6.11/4.95 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192)) | trans(s299, s193)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193))),
% 6.20/4.96 inference(rewrite,[status(thm)],[])).
% 6.20/4.96 tff(21056,plain,
% 6.20/4.96 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191)) | trans(s299, s192)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192))),
% 6.20/4.97 inference(rewrite,[status(thm)],[])).
% 6.20/4.97 tff(21057,plain,
% 6.20/4.97 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190)) | trans(s299, s191)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191))),
% 6.20/4.97 inference(rewrite,[status(thm)],[])).
% 6.20/4.97 tff(21058,plain,
% 6.20/4.97 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189)) | trans(s299, s190)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190))),
% 6.20/4.98 inference(rewrite,[status(thm)],[])).
% 6.20/4.98 tff(21059,plain,
% 6.20/4.98 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188)) | trans(s299, s189)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189))),
% 6.22/4.98 inference(rewrite,[status(thm)],[])).
% 6.22/4.98 tff(21060,plain,
% 6.22/4.98 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187)) | trans(s299, s188)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188))),
% 6.22/4.99 inference(rewrite,[status(thm)],[])).
% 6.22/4.99 tff(21061,plain,
% 6.22/4.99 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186)) | trans(s299, s187)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187))),
% 6.22/5.00 inference(rewrite,[status(thm)],[])).
% 6.22/5.00 tff(21062,plain,
% 6.22/5.00 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185)) | trans(s299, s186)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186))),
% 6.22/5.00 inference(rewrite,[status(thm)],[])).
% 6.22/5.00 tff(21063,plain,
% 6.22/5.00 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184)) | trans(s299, s185)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185))),
% 6.22/5.00 inference(rewrite,[status(thm)],[])).
% 6.22/5.00 tff(21064,plain,
% 6.22/5.00 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183)) | trans(s299, s184)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184))),
% 6.22/5.01 inference(rewrite,[status(thm)],[])).
% 6.22/5.01 tff(21065,plain,
% 6.22/5.01 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182)) | trans(s299, s183)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183))),
% 6.22/5.02 inference(rewrite,[status(thm)],[])).
% 6.22/5.02 tff(21066,plain,
% 6.22/5.02 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181)) | trans(s299, s182)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182))),
% 6.26/5.02 inference(rewrite,[status(thm)],[])).
% 6.26/5.02 tff(21067,plain,
% 6.26/5.02 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180)) | trans(s299, s181)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181))),
% 6.26/5.03 inference(rewrite,[status(thm)],[])).
% 6.26/5.03 tff(21068,plain,
% 6.26/5.03 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179)) | trans(s299, s180)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180))),
% 6.26/5.03 inference(rewrite,[status(thm)],[])).
% 6.26/5.03 tff(21069,plain,
% 6.26/5.03 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178)) | trans(s299, s179)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179))),
% 6.27/5.04 inference(rewrite,[status(thm)],[])).
% 6.27/5.04 tff(21070,plain,
% 6.27/5.04 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177)) | trans(s299, s178)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178))),
% 6.27/5.05 inference(rewrite,[status(thm)],[])).
% 6.27/5.05 tff(21071,plain,
% 6.27/5.05 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176)) | trans(s299, s177)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177))),
% 6.27/5.05 inference(rewrite,[status(thm)],[])).
% 6.27/5.05 tff(21072,plain,
% 6.27/5.05 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175)) | trans(s299, s176)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176))),
% 6.27/5.05 inference(rewrite,[status(thm)],[])).
% 6.27/5.05 tff(21073,plain,
% 6.27/5.05 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174)) | trans(s299, s175)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175))),
% 6.27/5.06 inference(rewrite,[status(thm)],[])).
% 6.27/5.06 tff(21074,plain,
% 6.27/5.06 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173)) | trans(s299, s174)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174))),
% 6.27/5.06 inference(rewrite,[status(thm)],[])).
% 6.27/5.06 tff(21075,plain,
% 6.27/5.06 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172)) | trans(s299, s173)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173))),
% 6.27/5.07 inference(rewrite,[status(thm)],[])).
% 6.27/5.07 tff(21076,plain,
% 6.27/5.07 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171)) | trans(s299, s172)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172))),
% 6.27/5.08 inference(rewrite,[status(thm)],[])).
% 6.27/5.08 tff(21077,plain,
% 6.27/5.08 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170)) | trans(s299, s171)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171))),
% 6.27/5.08 inference(rewrite,[status(thm)],[])).
% 6.27/5.08 tff(21078,plain,
% 6.27/5.08 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169)) | trans(s299, s170)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170))),
% 6.27/5.09 inference(rewrite,[status(thm)],[])).
% 6.27/5.09 tff(21079,plain,
% 6.27/5.09 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168)) | trans(s299, s169)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169))),
% 6.27/5.10 inference(rewrite,[status(thm)],[])).
% 6.27/5.10 tff(21080,plain,
% 6.27/5.10 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167)) | trans(s299, s168)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168))),
% 6.27/5.10 inference(rewrite,[status(thm)],[])).
% 6.27/5.10 tff(21081,plain,
% 6.27/5.10 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166)) | trans(s299, s167)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167))),
% 6.27/5.10 inference(rewrite,[status(thm)],[])).
% 6.27/5.10 tff(21082,plain,
% 6.27/5.10 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165)) | trans(s299, s166)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166))),
% 6.27/5.11 inference(rewrite,[status(thm)],[])).
% 6.27/5.11 tff(21083,plain,
% 6.35/5.11 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164)) | trans(s299, s165)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165))),
% 6.35/5.11 inference(rewrite,[status(thm)],[])).
% 6.35/5.11 tff(21084,plain,
% 6.35/5.11 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163)) | trans(s299, s164)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164))),
% 6.35/5.12 inference(rewrite,[status(thm)],[])).
% 6.35/5.12 tff(21085,plain,
% 6.35/5.12 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162)) | trans(s299, s163)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163))),
% 6.35/5.12 inference(rewrite,[status(thm)],[])).
% 6.35/5.12 tff(21086,plain,
% 6.35/5.12 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161)) | trans(s299, s162)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162))),
% 6.35/5.13 inference(rewrite,[status(thm)],[])).
% 6.35/5.13 tff(21087,plain,
% 6.35/5.13 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160)) | trans(s299, s161)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161))),
% 6.35/5.13 inference(rewrite,[status(thm)],[])).
% 6.35/5.13 tff(21088,plain,
% 6.35/5.13 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159)) | trans(s299, s160)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160))),
% 6.35/5.14 inference(rewrite,[status(thm)],[])).
% 6.35/5.14 tff(21089,plain,
% 6.35/5.14 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158)) | trans(s299, s159)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159))),
% 6.35/5.14 inference(rewrite,[status(thm)],[])).
% 6.35/5.14 tff(21090,plain,
% 6.35/5.14 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157)) | trans(s299, s158)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158))),
% 6.35/5.15 inference(rewrite,[status(thm)],[])).
% 6.35/5.15 tff(21091,plain,
% 6.35/5.15 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156)) | trans(s299, s157)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157))),
% 6.35/5.15 inference(rewrite,[status(thm)],[])).
% 6.35/5.15 tff(21092,plain,
% 6.35/5.15 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155)) | trans(s299, s156)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156))),
% 6.35/5.16 inference(rewrite,[status(thm)],[])).
% 6.35/5.16 tff(21093,plain,
% 6.35/5.16 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154)) | trans(s299, s155)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155))),
% 6.35/5.16 inference(rewrite,[status(thm)],[])).
% 6.35/5.16 tff(21094,plain,
% 6.35/5.16 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153)) | trans(s299, s154)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154))),
% 6.35/5.17 inference(rewrite,[status(thm)],[])).
% 6.35/5.17 tff(21095,plain,
% 6.35/5.17 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152)) | trans(s299, s153)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153))),
% 6.35/5.17 inference(rewrite,[status(thm)],[])).
% 6.35/5.17 tff(21096,plain,
% 6.35/5.17 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151)) | trans(s299, s152)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152))),
% 6.35/5.18 inference(rewrite,[status(thm)],[])).
% 6.35/5.18 tff(21097,plain,
% 6.35/5.18 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150)) | trans(s299, s151)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151))),
% 6.35/5.18 inference(rewrite,[status(thm)],[])).
% 6.35/5.18 tff(21098,plain,
% 6.35/5.18 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149)) | trans(s299, s150)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150))),
% 6.35/5.19 inference(rewrite,[status(thm)],[])).
% 6.35/5.19 tff(21099,plain,
% 6.35/5.19 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148)) | trans(s299, s149)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149))),
% 6.35/5.19 inference(rewrite,[status(thm)],[])).
% 6.35/5.19 tff(21100,plain,
% 6.35/5.19 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147)) | trans(s299, s148)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148))),
% 6.43/5.20 inference(rewrite,[status(thm)],[])).
% 6.43/5.20 tff(21101,plain,
% 6.43/5.20 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146)) | trans(s299, s147)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147))),
% 6.43/5.20 inference(rewrite,[status(thm)],[])).
% 6.43/5.20 tff(21102,plain,
% 6.43/5.20 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145)) | trans(s299, s146)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146))),
% 6.43/5.20 inference(rewrite,[status(thm)],[])).
% 6.43/5.20 tff(21103,plain,
% 6.43/5.20 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144)) | trans(s299, s145)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145))),
% 6.43/5.21 inference(rewrite,[status(thm)],[])).
% 6.43/5.21 tff(21104,plain,
% 6.43/5.21 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143)) | trans(s299, s144)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144))),
% 6.43/5.21 inference(rewrite,[status(thm)],[])).
% 6.43/5.21 tff(21105,plain,
% 6.43/5.21 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142)) | trans(s299, s143)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143))),
% 6.43/5.22 inference(rewrite,[status(thm)],[])).
% 6.43/5.22 tff(21106,plain,
% 6.43/5.22 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141)) | trans(s299, s142)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142))),
% 6.43/5.22 inference(rewrite,[status(thm)],[])).
% 6.43/5.22 tff(21107,plain,
% 6.43/5.22 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140)) | trans(s299, s141)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141))),
% 6.43/5.23 inference(rewrite,[status(thm)],[])).
% 6.43/5.23 tff(21108,plain,
% 6.43/5.23 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139)) | trans(s299, s140)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140))),
% 6.43/5.23 inference(rewrite,[status(thm)],[])).
% 6.43/5.23 tff(21109,plain,
% 6.43/5.23 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138)) | trans(s299, s139)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139))),
% 6.43/5.24 inference(rewrite,[status(thm)],[])).
% 6.43/5.24 tff(21110,plain,
% 6.43/5.24 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137)) | trans(s299, s138)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138))),
% 6.43/5.24 inference(rewrite,[status(thm)],[])).
% 6.43/5.24 tff(21111,plain,
% 6.43/5.24 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136)) | trans(s299, s137)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137))),
% 6.43/5.24 inference(rewrite,[status(thm)],[])).
% 6.43/5.24 tff(21112,plain,
% 6.43/5.24 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135)) | trans(s299, s136)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136))),
% 6.43/5.25 inference(rewrite,[status(thm)],[])).
% 6.43/5.25 tff(21113,plain,
% 6.43/5.25 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134)) | trans(s299, s135)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135))),
% 6.43/5.25 inference(rewrite,[status(thm)],[])).
% 6.43/5.25 tff(21114,plain,
% 6.43/5.25 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133)) | trans(s299, s134)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134))),
% 6.43/5.26 inference(rewrite,[status(thm)],[])).
% 6.43/5.26 tff(21115,plain,
% 6.43/5.26 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132)) | trans(s299, s133)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133))),
% 6.43/5.26 inference(rewrite,[status(thm)],[])).
% 6.43/5.26 tff(21116,plain,
% 6.43/5.26 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131)) | trans(s299, s132)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132))),
% 6.43/5.26 inference(rewrite,[status(thm)],[])).
% 6.43/5.26 tff(21117,plain,
% 6.43/5.26 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130)) | trans(s299, s131)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131))),
% 6.43/5.27 inference(rewrite,[status(thm)],[])).
% 6.43/5.27 tff(21118,plain,
% 6.43/5.27 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129)) | trans(s299, s130)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130))),
% 6.43/5.27 inference(rewrite,[status(thm)],[])).
% 6.43/5.27 tff(21119,plain,
% 6.43/5.27 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128)) | trans(s299, s129)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129))),
% 6.43/5.28 inference(rewrite,[status(thm)],[])).
% 6.43/5.28 tff(21120,plain,
% 6.43/5.28 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127)) | trans(s299, s128)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128))),
% 6.52/5.28 inference(rewrite,[status(thm)],[])).
% 6.52/5.28 tff(21121,plain,
% 6.52/5.28 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126)) | trans(s299, s127)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127))),
% 6.52/5.28 inference(rewrite,[status(thm)],[])).
% 6.52/5.28 tff(21122,plain,
% 6.52/5.28 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125)) | trans(s299, s126)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126))),
% 6.52/5.29 inference(rewrite,[status(thm)],[])).
% 6.52/5.29 tff(21123,plain,
% 6.52/5.29 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124)) | trans(s299, s125)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125))),
% 6.52/5.29 inference(rewrite,[status(thm)],[])).
% 6.52/5.29 tff(21124,plain,
% 6.52/5.29 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123)) | trans(s299, s124)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124))),
% 6.52/5.30 inference(rewrite,[status(thm)],[])).
% 6.52/5.30 tff(21125,plain,
% 6.52/5.30 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122)) | trans(s299, s123)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123))),
% 6.52/5.30 inference(rewrite,[status(thm)],[])).
% 6.52/5.30 tff(21126,plain,
% 6.52/5.30 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121)) | trans(s299, s122)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122))),
% 6.52/5.30 inference(rewrite,[status(thm)],[])).
% 6.52/5.30 tff(21127,plain,
% 6.52/5.30 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120)) | trans(s299, s121)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121))),
% 6.54/5.31 inference(rewrite,[status(thm)],[])).
% 6.54/5.31 tff(21128,plain,
% 6.54/5.31 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119)) | trans(s299, s120)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120))),
% 6.54/5.31 inference(rewrite,[status(thm)],[])).
% 6.54/5.31 tff(21129,plain,
% 6.54/5.31 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118)) | trans(s299, s119)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119))),
% 6.54/5.32 inference(rewrite,[status(thm)],[])).
% 6.54/5.32 tff(21130,plain,
% 6.54/5.32 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117)) | trans(s299, s118)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118))),
% 6.54/5.32 inference(rewrite,[status(thm)],[])).
% 6.54/5.32 tff(21131,plain,
% 6.54/5.32 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116)) | trans(s299, s117)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117))),
% 6.56/5.32 inference(rewrite,[status(thm)],[])).
% 6.56/5.32 tff(21132,plain,
% 6.56/5.32 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115)) | trans(s299, s116)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116))),
% 6.56/5.33 inference(rewrite,[status(thm)],[])).
% 6.56/5.33 tff(21133,plain,
% 6.56/5.33 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114)) | trans(s299, s115)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115))),
% 6.56/5.33 inference(rewrite,[status(thm)],[])).
% 6.56/5.33 tff(21134,plain,
% 6.56/5.33 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113)) | trans(s299, s114)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114))),
% 6.56/5.33 inference(rewrite,[status(thm)],[])).
% 6.56/5.33 tff(21135,plain,
% 6.56/5.33 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112)) | trans(s299, s113)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113))),
% 6.56/5.33 inference(rewrite,[status(thm)],[])).
% 6.56/5.33 tff(21136,plain,
% 6.56/5.33 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111)) | trans(s299, s112)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112))),
% 6.56/5.34 inference(rewrite,[status(thm)],[])).
% 6.56/5.34 tff(21137,plain,
% 6.56/5.34 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110)) | trans(s299, s111)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111))),
% 6.56/5.34 inference(rewrite,[status(thm)],[])).
% 6.56/5.34 tff(21138,plain,
% 6.56/5.34 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109)) | trans(s299, s110)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110))),
% 6.56/5.34 inference(rewrite,[status(thm)],[])).
% 6.56/5.34 tff(21139,plain,
% 6.56/5.34 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108)) | trans(s299, s109)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109))),
% 6.56/5.35 inference(rewrite,[status(thm)],[])).
% 6.56/5.35 tff(21140,plain,
% 6.56/5.35 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107)) | trans(s299, s108)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108))),
% 6.56/5.35 inference(rewrite,[status(thm)],[])).
% 6.56/5.35 tff(21141,plain,
% 6.56/5.35 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106)) | trans(s299, s107)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107))),
% 6.56/5.36 inference(rewrite,[status(thm)],[])).
% 6.56/5.36 tff(21142,plain,
% 6.56/5.36 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105)) | trans(s299, s106)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106))),
% 6.56/5.36 inference(rewrite,[status(thm)],[])).
% 6.56/5.36 tff(21143,plain,
% 6.56/5.36 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104)) | trans(s299, s105)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105))),
% 6.56/5.36 inference(rewrite,[status(thm)],[])).
% 6.56/5.36 tff(21144,plain,
% 6.56/5.36 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103)) | trans(s299, s104)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104))),
% 6.56/5.37 inference(rewrite,[status(thm)],[])).
% 6.56/5.37 tff(21145,plain,
% 6.56/5.37 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102)) | trans(s299, s103)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103))),
% 6.56/5.37 inference(rewrite,[status(thm)],[])).
% 6.56/5.37 tff(21146,plain,
% 6.56/5.37 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101)) | trans(s299, s102)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102))),
% 6.56/5.37 inference(rewrite,[status(thm)],[])).
% 6.56/5.37 tff(21147,plain,
% 6.56/5.37 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100)) | trans(s299, s101)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101))),
% 6.56/5.38 inference(rewrite,[status(thm)],[])).
% 6.56/5.38 tff(21148,plain,
% 6.56/5.38 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99)) | trans(s299, s100)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100))),
% 6.56/5.38 inference(rewrite,[status(thm)],[])).
% 6.56/5.38 tff(21149,plain,
% 6.56/5.38 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98)) | trans(s299, s99)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99))),
% 6.56/5.38 inference(rewrite,[status(thm)],[])).
% 6.56/5.38 tff(21150,plain,
% 6.56/5.38 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97)) | trans(s299, s98)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98))),
% 6.56/5.38 inference(rewrite,[status(thm)],[])).
% 6.56/5.38 tff(21151,plain,
% 6.56/5.38 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96)) | trans(s299, s97)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97))),
% 6.56/5.39 inference(rewrite,[status(thm)],[])).
% 6.56/5.39 tff(21152,plain,
% 6.56/5.39 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95)) | trans(s299, s96)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96))),
% 6.56/5.39 inference(rewrite,[status(thm)],[])).
% 6.56/5.39 tff(21153,plain,
% 6.56/5.39 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94)) | trans(s299, s95)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95))),
% 6.56/5.39 inference(rewrite,[status(thm)],[])).
% 6.56/5.39 tff(21154,plain,
% 6.56/5.39 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93)) | trans(s299, s94)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94))),
% 6.56/5.40 inference(rewrite,[status(thm)],[])).
% 6.56/5.40 tff(21155,plain,
% 6.56/5.40 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92)) | trans(s299, s93)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93))),
% 6.56/5.40 inference(rewrite,[status(thm)],[])).
% 6.56/5.40 tff(21156,plain,
% 6.56/5.40 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91)) | trans(s299, s92)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92))),
% 6.56/5.40 inference(rewrite,[status(thm)],[])).
% 6.56/5.40 tff(21157,plain,
% 6.56/5.40 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90)) | trans(s299, s91)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91))),
% 6.56/5.41 inference(rewrite,[status(thm)],[])).
% 6.56/5.41 tff(21158,plain,
% 6.56/5.41 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89)) | trans(s299, s90)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90))),
% 6.56/5.41 inference(rewrite,[status(thm)],[])).
% 6.56/5.41 tff(21159,plain,
% 6.56/5.41 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88)) | trans(s299, s89)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89))),
% 6.56/5.41 inference(rewrite,[status(thm)],[])).
% 6.56/5.41 tff(21160,plain,
% 6.56/5.41 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87)) | trans(s299, s88)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88))),
% 6.56/5.41 inference(rewrite,[status(thm)],[])).
% 6.56/5.41 tff(21161,plain,
% 6.56/5.41 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86)) | trans(s299, s87)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87))),
% 6.65/5.41 inference(rewrite,[status(thm)],[])).
% 6.65/5.41 tff(21162,plain,
% 6.65/5.41 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85)) | trans(s299, s86)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86))),
% 6.65/5.42 inference(rewrite,[status(thm)],[])).
% 6.65/5.42 tff(21163,plain,
% 6.65/5.42 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84)) | trans(s299, s85)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85))),
% 6.65/5.42 inference(rewrite,[status(thm)],[])).
% 6.65/5.42 tff(21164,plain,
% 6.65/5.42 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83)) | trans(s299, s84)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84))),
% 6.65/5.42 inference(rewrite,[status(thm)],[])).
% 6.65/5.42 tff(21165,plain,
% 6.65/5.42 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82)) | trans(s299, s83)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83))),
% 6.65/5.42 inference(rewrite,[status(thm)],[])).
% 6.65/5.42 tff(21166,plain,
% 6.65/5.42 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81)) | trans(s299, s82)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82))),
% 6.65/5.43 inference(rewrite,[status(thm)],[])).
% 6.65/5.43 tff(21167,plain,
% 6.65/5.43 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80)) | trans(s299, s81)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81))),
% 6.65/5.43 inference(rewrite,[status(thm)],[])).
% 6.65/5.43 tff(21168,plain,
% 6.65/5.43 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79)) | trans(s299, s80)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80))),
% 6.65/5.43 inference(rewrite,[status(thm)],[])).
% 6.65/5.43 tff(21169,plain,
% 6.65/5.43 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78)) | trans(s299, s79)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79))),
% 6.65/5.43 inference(rewrite,[status(thm)],[])).
% 6.65/5.43 tff(21170,plain,
% 6.65/5.43 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77)) | trans(s299, s78)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78))),
% 6.65/5.44 inference(rewrite,[status(thm)],[])).
% 6.65/5.44 tff(21171,plain,
% 6.65/5.44 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76)) | trans(s299, s77)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77))),
% 6.65/5.44 inference(rewrite,[status(thm)],[])).
% 6.65/5.44 tff(21172,plain,
% 6.65/5.44 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75)) | trans(s299, s76)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76))),
% 6.65/5.44 inference(rewrite,[status(thm)],[])).
% 6.65/5.44 tff(21173,plain,
% 6.65/5.44 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74)) | trans(s299, s75)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75))),
% 6.65/5.44 inference(rewrite,[status(thm)],[])).
% 6.65/5.44 tff(21174,plain,
% 6.65/5.44 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73)) | trans(s299, s74)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74))),
% 6.65/5.45 inference(rewrite,[status(thm)],[])).
% 6.65/5.45 tff(21175,plain,
% 6.65/5.45 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72)) | trans(s299, s73)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73))),
% 6.65/5.45 inference(rewrite,[status(thm)],[])).
% 6.65/5.45 tff(21176,plain,
% 6.65/5.45 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71)) | trans(s299, s72)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72))),
% 6.65/5.45 inference(rewrite,[status(thm)],[])).
% 6.65/5.45 tff(21177,plain,
% 6.65/5.45 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70)) | trans(s299, s71)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71))),
% 6.65/5.45 inference(rewrite,[status(thm)],[])).
% 6.65/5.45 tff(21178,plain,
% 6.65/5.45 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69)) | trans(s299, s70)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70))),
% 6.65/5.46 inference(rewrite,[status(thm)],[])).
% 6.65/5.46 tff(21179,plain,
% 6.65/5.46 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68)) | trans(s299, s69)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69))),
% 6.65/5.46 inference(rewrite,[status(thm)],[])).
% 6.65/5.46 tff(21180,plain,
% 6.65/5.46 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67)) | trans(s299, s68)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68))),
% 6.65/5.46 inference(rewrite,[status(thm)],[])).
% 6.65/5.46 tff(21181,plain,
% 6.65/5.46 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66)) | trans(s299, s67)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67))),
% 6.65/5.46 inference(rewrite,[status(thm)],[])).
% 6.65/5.46 tff(21182,plain,
% 6.65/5.46 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65)) | trans(s299, s66)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66))),
% 6.65/5.46 inference(rewrite,[status(thm)],[])).
% 6.65/5.46 tff(21183,plain,
% 6.65/5.46 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64)) | trans(s299, s65)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65))),
% 6.65/5.47 inference(rewrite,[status(thm)],[])).
% 6.65/5.47 tff(21184,plain,
% 6.65/5.47 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63)) | trans(s299, s64)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64))),
% 6.65/5.47 inference(rewrite,[status(thm)],[])).
% 6.65/5.47 tff(21185,plain,
% 6.65/5.47 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62)) | trans(s299, s63)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63))),
% 6.65/5.47 inference(rewrite,[status(thm)],[])).
% 6.65/5.47 tff(21186,plain,
% 6.65/5.47 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61)) | trans(s299, s62)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62))),
% 6.65/5.48 inference(rewrite,[status(thm)],[])).
% 6.65/5.48 tff(21187,plain,
% 6.65/5.48 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60)) | trans(s299, s61)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61))),
% 6.65/5.48 inference(rewrite,[status(thm)],[])).
% 6.65/5.48 tff(21188,plain,
% 6.65/5.48 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59)) | trans(s299, s60)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60))),
% 6.65/5.48 inference(rewrite,[status(thm)],[])).
% 6.65/5.48 tff(21189,plain,
% 6.65/5.48 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58)) | trans(s299, s59)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59))),
% 6.65/5.48 inference(rewrite,[status(thm)],[])).
% 6.65/5.48 tff(21190,plain,
% 6.65/5.48 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57)) | trans(s299, s58)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58))),
% 6.65/5.48 inference(rewrite,[status(thm)],[])).
% 6.65/5.48 tff(21191,plain,
% 6.65/5.48 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56)) | trans(s299, s57)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57))),
% 6.65/5.49 inference(rewrite,[status(thm)],[])).
% 6.65/5.49 tff(21192,plain,
% 6.65/5.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55)) | trans(s299, s56)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56))),
% 6.65/5.49 inference(rewrite,[status(thm)],[])).
% 6.65/5.49 tff(21193,plain,
% 6.65/5.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54)) | trans(s299, s55)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55))),
% 6.73/5.49 inference(rewrite,[status(thm)],[])).
% 6.73/5.49 tff(21194,plain,
% 6.73/5.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53)) | trans(s299, s54)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54))),
% 6.73/5.49 inference(rewrite,[status(thm)],[])).
% 6.73/5.49 tff(21195,plain,
% 6.73/5.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52)) | trans(s299, s53)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53))),
% 6.73/5.49 inference(rewrite,[status(thm)],[])).
% 6.73/5.49 tff(21196,plain,
% 6.73/5.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51)) | trans(s299, s52)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52))),
% 6.73/5.49 inference(rewrite,[status(thm)],[])).
% 6.73/5.49 tff(21197,plain,
% 6.73/5.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50)) | trans(s299, s51)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51))),
% 6.73/5.49 inference(rewrite,[status(thm)],[])).
% 6.73/5.49 tff(21198,plain,
% 6.73/5.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49)) | trans(s299, s50)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50))),
% 6.73/5.49 inference(rewrite,[status(thm)],[])).
% 6.73/5.49 tff(21199,plain,
% 6.73/5.49 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48)) | trans(s299, s49)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49))),
% 6.73/5.50 inference(rewrite,[status(thm)],[])).
% 6.73/5.50 tff(21200,plain,
% 6.73/5.50 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47)) | trans(s299, s48)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48))),
% 6.73/5.50 inference(rewrite,[status(thm)],[])).
% 6.73/5.50 tff(21201,plain,
% 6.73/5.50 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46)) | trans(s299, s47)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47))),
% 6.73/5.50 inference(rewrite,[status(thm)],[])).
% 6.73/5.50 tff(21202,plain,
% 6.73/5.50 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45)) | trans(s299, s46)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46))),
% 6.73/5.50 inference(rewrite,[status(thm)],[])).
% 6.73/5.50 tff(21203,plain,
% 6.73/5.50 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44)) | trans(s299, s45)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45))),
% 6.73/5.50 inference(rewrite,[status(thm)],[])).
% 6.73/5.50 tff(21204,plain,
% 6.73/5.50 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43)) | trans(s299, s44)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44))),
% 6.73/5.50 inference(rewrite,[status(thm)],[])).
% 6.73/5.50 tff(21205,plain,
% 6.73/5.50 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42)) | trans(s299, s43)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43))),
% 6.73/5.51 inference(rewrite,[status(thm)],[])).
% 6.73/5.51 tff(21206,plain,
% 6.73/5.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41)) | trans(s299, s42)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42))),
% 6.73/5.51 inference(rewrite,[status(thm)],[])).
% 6.73/5.51 tff(21207,plain,
% 6.73/5.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40)) | trans(s299, s41)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41))),
% 6.73/5.51 inference(rewrite,[status(thm)],[])).
% 6.73/5.51 tff(21208,plain,
% 6.73/5.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39)) | trans(s299, s40)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40))),
% 6.73/5.51 inference(rewrite,[status(thm)],[])).
% 6.73/5.51 tff(21209,plain,
% 6.73/5.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38)) | trans(s299, s39)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39))),
% 6.73/5.51 inference(rewrite,[status(thm)],[])).
% 6.73/5.51 tff(21210,plain,
% 6.73/5.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37)) | trans(s299, s38)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38))),
% 6.73/5.51 inference(rewrite,[status(thm)],[])).
% 6.73/5.51 tff(21211,plain,
% 6.73/5.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36)) | trans(s299, s37)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37))),
% 6.73/5.51 inference(rewrite,[status(thm)],[])).
% 6.73/5.51 tff(21212,plain,
% 6.73/5.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35)) | trans(s299, s36)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36))),
% 6.73/5.51 inference(rewrite,[status(thm)],[])).
% 6.73/5.51 tff(21213,plain,
% 6.73/5.51 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34)) | trans(s299, s35)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21214,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33)) | trans(s299, s34)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21215,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32)) | trans(s299, s33)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21216,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31)) | trans(s299, s32)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21217,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30)) | trans(s299, s31)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21218,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29)) | trans(s299, s30)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21219,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28)) | trans(s299, s29)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21220,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27)) | trans(s299, s28)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21221,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26)) | trans(s299, s27)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21222,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25)) | trans(s299, s26)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26))),
% 6.73/5.52 inference(rewrite,[status(thm)],[])).
% 6.73/5.52 tff(21223,plain,
% 6.73/5.52 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24)) | trans(s299, s25)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21224,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23)) | trans(s299, s24)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21225,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22)) | trans(s299, s23)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21226,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21)) | trans(s299, s22)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21227,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20)) | trans(s299, s21)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21228,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19)) | trans(s299, s20)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21229,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18)) | trans(s299, s19)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21230,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17)) | trans(s299, s18)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21231,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16)) | trans(s299, s17)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21232,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15)) | trans(s299, s16)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21233,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14)) | trans(s299, s15)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21234,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13)) | trans(s299, s14)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21235,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12)) | trans(s299, s13)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21236,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11)) | trans(s299, s12)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21237,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10)) | trans(s299, s11)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21238,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9)) | trans(s299, s10)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21239,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8)) | trans(s299, s9)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21240,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7)) | trans(s299, s8)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21241,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6)) | trans(s299, s7)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21242,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5)) | trans(s299, s6)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21243,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4)) | trans(s299, s5)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21244,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3)) | trans(s299, s4)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21245,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2)) | trans(s299, s3)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21246,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0) | trans(s299, s1)) | trans(s299, s2)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21247,plain,
% 6.73/5.53 ((((~loop) | trans(s299, s0)) | trans(s299, s1)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1))),
% 6.73/5.53 inference(rewrite,[status(thm)],[])).
% 6.73/5.53 tff(21248,plain,
% 6.73/5.53 (((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1)) | trans(s299, s2))),
% 6.73/5.53 inference(monotonicity,[status(thm)],[21247])).
% 6.73/5.53 tff(21249,plain,
% 6.73/5.53 (((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2))),
% 6.73/5.53 inference(transitivity,[status(thm)],[21248, 21246])).
% 6.73/5.53 tff(21250,plain,
% 6.73/5.53 ((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2)) | trans(s299, s3))),
% 6.73/5.53 inference(monotonicity,[status(thm)],[21249])).
% 6.73/5.53 tff(21251,plain,
% 6.73/5.53 ((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3))),
% 6.73/5.53 inference(transitivity,[status(thm)],[21250, 21245])).
% 6.73/5.53 tff(21252,plain,
% 6.73/5.53 (((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3)) | trans(s299, s4))),
% 6.73/5.53 inference(monotonicity,[status(thm)],[21251])).
% 6.73/5.53 tff(21253,plain,
% 6.73/5.53 (((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4))),
% 6.73/5.53 inference(transitivity,[status(thm)],[21252, 21244])).
% 6.73/5.53 tff(21254,plain,
% 6.73/5.53 ((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4)) | trans(s299, s5))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21253])).
% 6.73/5.54 tff(21255,plain,
% 6.73/5.54 ((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21254, 21243])).
% 6.73/5.54 tff(21256,plain,
% 6.73/5.54 (((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5)) | trans(s299, s6))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21255])).
% 6.73/5.54 tff(21257,plain,
% 6.73/5.54 (((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21256, 21242])).
% 6.73/5.54 tff(21258,plain,
% 6.73/5.54 ((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6)) | trans(s299, s7))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21257])).
% 6.73/5.54 tff(21259,plain,
% 6.73/5.54 ((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21258, 21241])).
% 6.73/5.54 tff(21260,plain,
% 6.73/5.54 (((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7)) | trans(s299, s8))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21259])).
% 6.73/5.54 tff(21261,plain,
% 6.73/5.54 (((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21260, 21240])).
% 6.73/5.54 tff(21262,plain,
% 6.73/5.54 ((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8)) | trans(s299, s9))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21261])).
% 6.73/5.54 tff(21263,plain,
% 6.73/5.54 ((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21262, 21239])).
% 6.73/5.54 tff(21264,plain,
% 6.73/5.54 (((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9)) | trans(s299, s10))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21263])).
% 6.73/5.54 tff(21265,plain,
% 6.73/5.54 (((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21264, 21238])).
% 6.73/5.54 tff(21266,plain,
% 6.73/5.54 ((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10)) | trans(s299, s11))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21265])).
% 6.73/5.54 tff(21267,plain,
% 6.73/5.54 ((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21266, 21237])).
% 6.73/5.54 tff(21268,plain,
% 6.73/5.54 (((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11)) | trans(s299, s12))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21267])).
% 6.73/5.54 tff(21269,plain,
% 6.73/5.54 (((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21268, 21236])).
% 6.73/5.54 tff(21270,plain,
% 6.73/5.54 ((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12)) | trans(s299, s13))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21269])).
% 6.73/5.54 tff(21271,plain,
% 6.73/5.54 ((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21270, 21235])).
% 6.73/5.54 tff(21272,plain,
% 6.73/5.54 (((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13)) | trans(s299, s14))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21271])).
% 6.73/5.54 tff(21273,plain,
% 6.73/5.54 (((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21272, 21234])).
% 6.73/5.54 tff(21274,plain,
% 6.73/5.54 ((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14)) | trans(s299, s15))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21273])).
% 6.73/5.54 tff(21275,plain,
% 6.73/5.54 ((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15))),
% 6.73/5.54 inference(transitivity,[status(thm)],[21274, 21233])).
% 6.73/5.54 tff(21276,plain,
% 6.73/5.54 (((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15)) | trans(s299, s16))),
% 6.73/5.54 inference(monotonicity,[status(thm)],[21275])).
% 6.73/5.54 tff(21277,plain,
% 6.73/5.54 (((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21276, 21232])).
% 6.73/5.55 tff(21278,plain,
% 6.73/5.55 ((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16)) | trans(s299, s17))),
% 6.73/5.55 inference(monotonicity,[status(thm)],[21277])).
% 6.73/5.55 tff(21279,plain,
% 6.73/5.55 ((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21278, 21231])).
% 6.73/5.55 tff(21280,plain,
% 6.73/5.55 (((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17)) | trans(s299, s18))),
% 6.73/5.55 inference(monotonicity,[status(thm)],[21279])).
% 6.73/5.55 tff(21281,plain,
% 6.73/5.55 (((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21280, 21230])).
% 6.73/5.55 tff(21282,plain,
% 6.73/5.55 ((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18)) | trans(s299, s19))),
% 6.73/5.55 inference(monotonicity,[status(thm)],[21281])).
% 6.73/5.55 tff(21283,plain,
% 6.73/5.55 ((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21282, 21229])).
% 6.73/5.55 tff(21284,plain,
% 6.73/5.55 (((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19)) | trans(s299, s20))),
% 6.73/5.55 inference(monotonicity,[status(thm)],[21283])).
% 6.73/5.55 tff(21285,plain,
% 6.73/5.55 (((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21284, 21228])).
% 6.73/5.55 tff(21286,plain,
% 6.73/5.55 ((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20)) | trans(s299, s21))),
% 6.73/5.55 inference(monotonicity,[status(thm)],[21285])).
% 6.73/5.55 tff(21287,plain,
% 6.73/5.55 ((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21286, 21227])).
% 6.73/5.55 tff(21288,plain,
% 6.73/5.55 (((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21)) | trans(s299, s22))),
% 6.73/5.55 inference(monotonicity,[status(thm)],[21287])).
% 6.73/5.55 tff(21289,plain,
% 6.73/5.55 (((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21288, 21226])).
% 6.73/5.55 tff(21290,plain,
% 6.73/5.55 ((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22)) | trans(s299, s23))),
% 6.73/5.55 inference(monotonicity,[status(thm)],[21289])).
% 6.73/5.55 tff(21291,plain,
% 6.73/5.55 ((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21290, 21225])).
% 6.73/5.55 tff(21292,plain,
% 6.73/5.55 (((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23)) | trans(s299, s24))),
% 6.73/5.55 inference(monotonicity,[status(thm)],[21291])).
% 6.73/5.55 tff(21293,plain,
% 6.73/5.55 (((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24))),
% 6.73/5.55 inference(transitivity,[status(thm)],[21292, 21224])).
% 6.73/5.55 tff(21294,plain,
% 6.73/5.55 ((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24)) | trans(s299, s25))),
% 6.73/5.56 inference(monotonicity,[status(thm)],[21293])).
% 6.73/5.56 tff(21295,plain,
% 6.73/5.56 ((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25))),
% 6.73/5.56 inference(transitivity,[status(thm)],[21294, 21223])).
% 6.73/5.56 tff(21296,plain,
% 6.73/5.56 (((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25)) | trans(s299, s26))),
% 6.73/5.56 inference(monotonicity,[status(thm)],[21295])).
% 6.73/5.56 tff(21297,plain,
% 6.73/5.56 (((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26))),
% 6.73/5.56 inference(transitivity,[status(thm)],[21296, 21222])).
% 6.73/5.56 tff(21298,plain,
% 6.73/5.56 ((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26)) | trans(s299, s27))),
% 6.73/5.56 inference(monotonicity,[status(thm)],[21297])).
% 6.73/5.56 tff(21299,plain,
% 6.73/5.56 ((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27))),
% 6.73/5.56 inference(transitivity,[status(thm)],[21298, 21221])).
% 6.73/5.56 tff(21300,plain,
% 6.73/5.56 (((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27)) | trans(s299, s28))),
% 6.73/5.56 inference(monotonicity,[status(thm)],[21299])).
% 6.73/5.56 tff(21301,plain,
% 6.73/5.56 (((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28))),
% 6.73/5.56 inference(transitivity,[status(thm)],[21300, 21220])).
% 6.73/5.56 tff(21302,plain,
% 6.73/5.56 ((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28)) | trans(s299, s29))),
% 6.73/5.56 inference(monotonicity,[status(thm)],[21301])).
% 6.73/5.56 tff(21303,plain,
% 6.73/5.56 ((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29))),
% 6.73/5.56 inference(transitivity,[status(thm)],[21302, 21219])).
% 6.73/5.56 tff(21304,plain,
% 6.73/5.56 (((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29)) | trans(s299, s30))),
% 6.73/5.57 inference(monotonicity,[status(thm)],[21303])).
% 6.73/5.57 tff(21305,plain,
% 6.73/5.57 (((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30))),
% 6.73/5.57 inference(transitivity,[status(thm)],[21304, 21218])).
% 6.73/5.57 tff(21306,plain,
% 6.73/5.57 ((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30)) | trans(s299, s31))),
% 6.73/5.57 inference(monotonicity,[status(thm)],[21305])).
% 6.73/5.57 tff(21307,plain,
% 6.73/5.57 ((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31))),
% 6.73/5.57 inference(transitivity,[status(thm)],[21306, 21217])).
% 6.73/5.57 tff(21308,plain,
% 6.73/5.57 (((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31)) | trans(s299, s32))),
% 6.73/5.57 inference(monotonicity,[status(thm)],[21307])).
% 6.73/5.57 tff(21309,plain,
% 6.73/5.57 (((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32))),
% 6.73/5.57 inference(transitivity,[status(thm)],[21308, 21216])).
% 6.73/5.57 tff(21310,plain,
% 6.73/5.57 ((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32)) | trans(s299, s33))),
% 6.81/5.57 inference(monotonicity,[status(thm)],[21309])).
% 6.81/5.57 tff(21311,plain,
% 6.81/5.57 ((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33))),
% 6.81/5.57 inference(transitivity,[status(thm)],[21310, 21215])).
% 6.81/5.57 tff(21312,plain,
% 6.81/5.57 (((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33)) | trans(s299, s34))),
% 6.81/5.57 inference(monotonicity,[status(thm)],[21311])).
% 6.81/5.57 tff(21313,plain,
% 6.81/5.57 (((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34))),
% 6.81/5.58 inference(transitivity,[status(thm)],[21312, 21214])).
% 6.81/5.58 tff(21314,plain,
% 6.81/5.58 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34)) | trans(s299, s35))),
% 6.81/5.58 inference(monotonicity,[status(thm)],[21313])).
% 6.81/5.58 tff(21315,plain,
% 6.81/5.58 ((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35))),
% 6.81/5.58 inference(transitivity,[status(thm)],[21314, 21213])).
% 6.81/5.58 tff(21316,plain,
% 6.81/5.58 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35)) | trans(s299, s36))),
% 6.82/5.58 inference(monotonicity,[status(thm)],[21315])).
% 6.82/5.58 tff(21317,plain,
% 6.82/5.58 (((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36))),
% 6.82/5.58 inference(transitivity,[status(thm)],[21316, 21212])).
% 6.82/5.58 tff(21318,plain,
% 6.82/5.58 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36)) | trans(s299, s37))),
% 6.82/5.58 inference(monotonicity,[status(thm)],[21317])).
% 6.82/5.58 tff(21319,plain,
% 6.82/5.58 ((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37))),
% 6.82/5.58 inference(transitivity,[status(thm)],[21318, 21211])).
% 6.82/5.58 tff(21320,plain,
% 6.82/5.58 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37)) | trans(s299, s38))),
% 6.82/5.58 inference(monotonicity,[status(thm)],[21319])).
% 6.82/5.58 tff(21321,plain,
% 6.82/5.58 (((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38))),
% 6.82/5.58 inference(transitivity,[status(thm)],[21320, 21210])).
% 6.82/5.58 tff(21322,plain,
% 6.82/5.58 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38)) | trans(s299, s39))),
% 6.82/5.58 inference(monotonicity,[status(thm)],[21321])).
% 6.82/5.58 tff(21323,plain,
% 6.82/5.58 ((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39))),
% 6.82/5.59 inference(transitivity,[status(thm)],[21322, 21209])).
% 6.82/5.59 tff(21324,plain,
% 6.82/5.59 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39)) | trans(s299, s40))),
% 6.82/5.59 inference(monotonicity,[status(thm)],[21323])).
% 6.82/5.59 tff(21325,plain,
% 6.82/5.59 (((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40))),
% 6.82/5.59 inference(transitivity,[status(thm)],[21324, 21208])).
% 6.82/5.59 tff(21326,plain,
% 6.82/5.59 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40)) | trans(s299, s41))),
% 6.82/5.59 inference(monotonicity,[status(thm)],[21325])).
% 6.82/5.59 tff(21327,plain,
% 6.82/5.59 ((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41))),
% 6.82/5.59 inference(transitivity,[status(thm)],[21326, 21207])).
% 6.82/5.59 tff(21328,plain,
% 6.82/5.59 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41)) | trans(s299, s42))),
% 6.82/5.59 inference(monotonicity,[status(thm)],[21327])).
% 6.82/5.59 tff(21329,plain,
% 6.82/5.59 (((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42))),
% 6.82/5.59 inference(transitivity,[status(thm)],[21328, 21206])).
% 6.82/5.59 tff(21330,plain,
% 6.82/5.59 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42)) | trans(s299, s43))),
% 6.82/5.60 inference(monotonicity,[status(thm)],[21329])).
% 6.82/5.60 tff(21331,plain,
% 6.82/5.60 ((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43))),
% 6.82/5.60 inference(transitivity,[status(thm)],[21330, 21205])).
% 6.82/5.60 tff(21332,plain,
% 6.82/5.60 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43)) | trans(s299, s44))),
% 6.82/5.60 inference(monotonicity,[status(thm)],[21331])).
% 6.82/5.60 tff(21333,plain,
% 6.82/5.60 (((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44))),
% 6.82/5.60 inference(transitivity,[status(thm)],[21332, 21204])).
% 6.82/5.60 tff(21334,plain,
% 6.82/5.60 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44)) | trans(s299, s45))),
% 6.82/5.60 inference(monotonicity,[status(thm)],[21333])).
% 6.82/5.60 tff(21335,plain,
% 6.82/5.60 ((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45))),
% 6.84/5.60 inference(transitivity,[status(thm)],[21334, 21203])).
% 6.84/5.60 tff(21336,plain,
% 6.84/5.60 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45)) | trans(s299, s46))),
% 6.84/5.60 inference(monotonicity,[status(thm)],[21335])).
% 6.84/5.60 tff(21337,plain,
% 6.84/5.60 (((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46))),
% 6.84/5.61 inference(transitivity,[status(thm)],[21336, 21202])).
% 6.84/5.61 tff(21338,plain,
% 6.84/5.61 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46)) | trans(s299, s47))),
% 6.84/5.61 inference(monotonicity,[status(thm)],[21337])).
% 6.84/5.61 tff(21339,plain,
% 6.84/5.61 ((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47))),
% 6.84/5.61 inference(transitivity,[status(thm)],[21338, 21201])).
% 6.84/5.61 tff(21340,plain,
% 6.84/5.61 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47)) | trans(s299, s48))),
% 6.84/5.61 inference(monotonicity,[status(thm)],[21339])).
% 6.84/5.61 tff(21341,plain,
% 6.84/5.61 (((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48))),
% 6.84/5.61 inference(transitivity,[status(thm)],[21340, 21200])).
% 6.84/5.61 tff(21342,plain,
% 6.84/5.61 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48)) | trans(s299, s49))),
% 6.84/5.61 inference(monotonicity,[status(thm)],[21341])).
% 6.84/5.61 tff(21343,plain,
% 6.84/5.61 ((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49))),
% 6.84/5.62 inference(transitivity,[status(thm)],[21342, 21199])).
% 6.84/5.62 tff(21344,plain,
% 6.84/5.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49)) | trans(s299, s50))),
% 6.84/5.62 inference(monotonicity,[status(thm)],[21343])).
% 6.84/5.62 tff(21345,plain,
% 6.84/5.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50))),
% 6.84/5.62 inference(transitivity,[status(thm)],[21344, 21198])).
% 6.84/5.62 tff(21346,plain,
% 6.84/5.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50)) | trans(s299, s51))),
% 6.84/5.62 inference(monotonicity,[status(thm)],[21345])).
% 6.84/5.62 tff(21347,plain,
% 6.84/5.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51))),
% 6.86/5.62 inference(transitivity,[status(thm)],[21346, 21197])).
% 6.86/5.62 tff(21348,plain,
% 6.86/5.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51)) | trans(s299, s52))),
% 6.86/5.62 inference(monotonicity,[status(thm)],[21347])).
% 6.86/5.62 tff(21349,plain,
% 6.86/5.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52))),
% 6.86/5.62 inference(transitivity,[status(thm)],[21348, 21196])).
% 6.86/5.62 tff(21350,plain,
% 6.86/5.62 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52)) | trans(s299, s53))),
% 6.86/5.63 inference(monotonicity,[status(thm)],[21349])).
% 6.86/5.63 tff(21351,plain,
% 6.86/5.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53))),
% 6.86/5.63 inference(transitivity,[status(thm)],[21350, 21195])).
% 6.86/5.63 tff(21352,plain,
% 6.86/5.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53)) | trans(s299, s54))),
% 6.86/5.63 inference(monotonicity,[status(thm)],[21351])).
% 6.86/5.63 tff(21353,plain,
% 6.86/5.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54))),
% 6.86/5.63 inference(transitivity,[status(thm)],[21352, 21194])).
% 6.86/5.63 tff(21354,plain,
% 6.86/5.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54)) | trans(s299, s55))),
% 6.86/5.63 inference(monotonicity,[status(thm)],[21353])).
% 6.86/5.63 tff(21355,plain,
% 6.86/5.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55))),
% 6.86/5.63 inference(transitivity,[status(thm)],[21354, 21193])).
% 6.86/5.63 tff(21356,plain,
% 6.86/5.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55)) | trans(s299, s56))),
% 6.86/5.64 inference(monotonicity,[status(thm)],[21355])).
% 6.86/5.64 tff(21357,plain,
% 6.86/5.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56))),
% 6.86/5.64 inference(transitivity,[status(thm)],[21356, 21192])).
% 6.86/5.64 tff(21358,plain,
% 6.86/5.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56)) | trans(s299, s57))),
% 6.86/5.64 inference(monotonicity,[status(thm)],[21357])).
% 6.86/5.64 tff(21359,plain,
% 6.86/5.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57))),
% 6.86/5.64 inference(transitivity,[status(thm)],[21358, 21191])).
% 6.86/5.64 tff(21360,plain,
% 6.86/5.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57)) | trans(s299, s58))),
% 6.86/5.64 inference(monotonicity,[status(thm)],[21359])).
% 6.86/5.64 tff(21361,plain,
% 6.86/5.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58))),
% 6.86/5.65 inference(transitivity,[status(thm)],[21360, 21190])).
% 6.86/5.65 tff(21362,plain,
% 6.86/5.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58)) | trans(s299, s59))),
% 6.86/5.65 inference(monotonicity,[status(thm)],[21361])).
% 6.86/5.65 tff(21363,plain,
% 6.86/5.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59))),
% 6.86/5.65 inference(transitivity,[status(thm)],[21362, 21189])).
% 6.86/5.65 tff(21364,plain,
% 6.86/5.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59)) | trans(s299, s60))),
% 6.86/5.65 inference(monotonicity,[status(thm)],[21363])).
% 6.86/5.65 tff(21365,plain,
% 6.86/5.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60))),
% 6.86/5.65 inference(transitivity,[status(thm)],[21364, 21188])).
% 6.86/5.65 tff(21366,plain,
% 6.86/5.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60)) | trans(s299, s61))),
% 6.86/5.66 inference(monotonicity,[status(thm)],[21365])).
% 6.86/5.66 tff(21367,plain,
% 6.86/5.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61))),
% 6.86/5.66 inference(transitivity,[status(thm)],[21366, 21187])).
% 6.86/5.66 tff(21368,plain,
% 6.86/5.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61)) | trans(s299, s62))),
% 6.86/5.66 inference(monotonicity,[status(thm)],[21367])).
% 6.86/5.66 tff(21369,plain,
% 6.86/5.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62))),
% 6.86/5.66 inference(transitivity,[status(thm)],[21368, 21186])).
% 6.86/5.66 tff(21370,plain,
% 6.86/5.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62)) | trans(s299, s63))),
% 6.86/5.66 inference(monotonicity,[status(thm)],[21369])).
% 6.86/5.66 tff(21371,plain,
% 6.86/5.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63))),
% 6.86/5.66 inference(transitivity,[status(thm)],[21370, 21185])).
% 6.86/5.66 tff(21372,plain,
% 6.86/5.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63)) | trans(s299, s64))),
% 6.86/5.67 inference(monotonicity,[status(thm)],[21371])).
% 6.86/5.67 tff(21373,plain,
% 6.86/5.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64))),
% 6.86/5.67 inference(transitivity,[status(thm)],[21372, 21184])).
% 6.86/5.67 tff(21374,plain,
% 6.86/5.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64)) | trans(s299, s65))),
% 6.86/5.67 inference(monotonicity,[status(thm)],[21373])).
% 6.86/5.67 tff(21375,plain,
% 6.86/5.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65))),
% 6.86/5.67 inference(transitivity,[status(thm)],[21374, 21183])).
% 6.86/5.67 tff(21376,plain,
% 6.86/5.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65)) | trans(s299, s66))),
% 6.86/5.67 inference(monotonicity,[status(thm)],[21375])).
% 6.86/5.67 tff(21377,plain,
% 6.86/5.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66))),
% 6.86/5.68 inference(transitivity,[status(thm)],[21376, 21182])).
% 6.86/5.68 tff(21378,plain,
% 6.86/5.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66)) | trans(s299, s67))),
% 6.86/5.68 inference(monotonicity,[status(thm)],[21377])).
% 6.86/5.68 tff(21379,plain,
% 6.86/5.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67))),
% 6.86/5.68 inference(transitivity,[status(thm)],[21378, 21181])).
% 6.86/5.68 tff(21380,plain,
% 6.86/5.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67)) | trans(s299, s68))),
% 6.86/5.68 inference(monotonicity,[status(thm)],[21379])).
% 6.86/5.68 tff(21381,plain,
% 6.86/5.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68))),
% 6.86/5.69 inference(transitivity,[status(thm)],[21380, 21180])).
% 6.86/5.69 tff(21382,plain,
% 6.86/5.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68)) | trans(s299, s69))),
% 6.86/5.69 inference(monotonicity,[status(thm)],[21381])).
% 6.86/5.69 tff(21383,plain,
% 6.86/5.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69))),
% 6.86/5.69 inference(transitivity,[status(thm)],[21382, 21179])).
% 6.86/5.69 tff(21384,plain,
% 6.86/5.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69)) | trans(s299, s70))),
% 6.86/5.69 inference(monotonicity,[status(thm)],[21383])).
% 6.86/5.69 tff(21385,plain,
% 6.86/5.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70))),
% 6.86/5.69 inference(transitivity,[status(thm)],[21384, 21178])).
% 6.86/5.69 tff(21386,plain,
% 6.86/5.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70)) | trans(s299, s71))),
% 6.86/5.69 inference(monotonicity,[status(thm)],[21385])).
% 6.86/5.69 tff(21387,plain,
% 6.86/5.69 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71))),
% 6.86/5.70 inference(transitivity,[status(thm)],[21386, 21177])).
% 6.86/5.70 tff(21388,plain,
% 6.86/5.70 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71)) | trans(s299, s72))),
% 6.86/5.70 inference(monotonicity,[status(thm)],[21387])).
% 6.86/5.70 tff(21389,plain,
% 6.86/5.70 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72))),
% 6.86/5.70 inference(transitivity,[status(thm)],[21388, 21176])).
% 6.86/5.70 tff(21390,plain,
% 6.86/5.70 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72)) | trans(s299, s73))),
% 6.86/5.70 inference(monotonicity,[status(thm)],[21389])).
% 6.86/5.70 tff(21391,plain,
% 6.86/5.70 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73))),
% 6.86/5.71 inference(transitivity,[status(thm)],[21390, 21175])).
% 6.86/5.71 tff(21392,plain,
% 6.86/5.71 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73)) | trans(s299, s74))),
% 6.86/5.71 inference(monotonicity,[status(thm)],[21391])).
% 6.86/5.71 tff(21393,plain,
% 6.86/5.71 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74))),
% 6.86/5.71 inference(transitivity,[status(thm)],[21392, 21174])).
% 6.86/5.71 tff(21394,plain,
% 6.86/5.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74)) | trans(s299, s75))),
% 6.86/5.71 inference(monotonicity,[status(thm)],[21393])).
% 6.86/5.71 tff(21395,plain,
% 6.86/5.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75))),
% 6.95/5.72 inference(transitivity,[status(thm)],[21394, 21173])).
% 6.95/5.72 tff(21396,plain,
% 6.95/5.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75)) | trans(s299, s76))),
% 6.95/5.72 inference(monotonicity,[status(thm)],[21395])).
% 6.95/5.72 tff(21397,plain,
% 6.95/5.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76))),
% 6.95/5.72 inference(transitivity,[status(thm)],[21396, 21172])).
% 6.95/5.72 tff(21398,plain,
% 6.95/5.72 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76)) | trans(s299, s77))),
% 6.95/5.72 inference(monotonicity,[status(thm)],[21397])).
% 6.95/5.73 tff(21399,plain,
% 6.95/5.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77))),
% 6.95/5.73 inference(transitivity,[status(thm)],[21398, 21171])).
% 6.95/5.73 tff(21400,plain,
% 6.95/5.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77)) | trans(s299, s78))),
% 6.95/5.73 inference(monotonicity,[status(thm)],[21399])).
% 6.95/5.73 tff(21401,plain,
% 6.95/5.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78))),
% 6.95/5.73 inference(transitivity,[status(thm)],[21400, 21170])).
% 6.95/5.73 tff(21402,plain,
% 6.95/5.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78)) | trans(s299, s79))),
% 6.95/5.73 inference(monotonicity,[status(thm)],[21401])).
% 6.95/5.73 tff(21403,plain,
% 6.95/5.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79))),
% 6.95/5.73 inference(transitivity,[status(thm)],[21402, 21169])).
% 6.95/5.73 tff(21404,plain,
% 6.95/5.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79)) | trans(s299, s80))),
% 6.95/5.74 inference(monotonicity,[status(thm)],[21403])).
% 6.95/5.74 tff(21405,plain,
% 6.95/5.74 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80))),
% 6.95/5.74 inference(transitivity,[status(thm)],[21404, 21168])).
% 6.95/5.74 tff(21406,plain,
% 6.95/5.74 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80)) | trans(s299, s81))),
% 6.95/5.74 inference(monotonicity,[status(thm)],[21405])).
% 6.95/5.74 tff(21407,plain,
% 6.95/5.74 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81))),
% 6.95/5.75 inference(transitivity,[status(thm)],[21406, 21167])).
% 6.95/5.75 tff(21408,plain,
% 6.95/5.75 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81)) | trans(s299, s82))),
% 6.95/5.75 inference(monotonicity,[status(thm)],[21407])).
% 6.95/5.75 tff(21409,plain,
% 6.95/5.75 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82))),
% 6.95/5.75 inference(transitivity,[status(thm)],[21408, 21166])).
% 6.95/5.75 tff(21410,plain,
% 6.95/5.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82)) | trans(s299, s83))),
% 6.95/5.75 inference(monotonicity,[status(thm)],[21409])).
% 6.95/5.75 tff(21411,plain,
% 6.95/5.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83))),
% 6.95/5.76 inference(transitivity,[status(thm)],[21410, 21165])).
% 6.95/5.76 tff(21412,plain,
% 6.95/5.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83)) | trans(s299, s84))),
% 6.95/5.76 inference(monotonicity,[status(thm)],[21411])).
% 6.95/5.76 tff(21413,plain,
% 6.95/5.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84))),
% 6.95/5.76 inference(transitivity,[status(thm)],[21412, 21164])).
% 6.95/5.76 tff(21414,plain,
% 6.95/5.76 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84)) | trans(s299, s85))),
% 6.95/5.77 inference(monotonicity,[status(thm)],[21413])).
% 6.95/5.77 tff(21415,plain,
% 6.95/5.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85))),
% 6.95/5.77 inference(transitivity,[status(thm)],[21414, 21163])).
% 6.95/5.77 tff(21416,plain,
% 6.95/5.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85)) | trans(s299, s86))),
% 6.95/5.77 inference(monotonicity,[status(thm)],[21415])).
% 6.95/5.77 tff(21417,plain,
% 6.95/5.77 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86))),
% 6.95/5.77 inference(transitivity,[status(thm)],[21416, 21162])).
% 6.95/5.77 tff(21418,plain,
% 6.95/5.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86)) | trans(s299, s87))),
% 6.95/5.78 inference(monotonicity,[status(thm)],[21417])).
% 6.95/5.78 tff(21419,plain,
% 6.95/5.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87))),
% 6.95/5.78 inference(transitivity,[status(thm)],[21418, 21161])).
% 6.95/5.78 tff(21420,plain,
% 6.95/5.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87)) | trans(s299, s88))),
% 6.95/5.78 inference(monotonicity,[status(thm)],[21419])).
% 6.95/5.78 tff(21421,plain,
% 6.95/5.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88))),
% 6.95/5.78 inference(transitivity,[status(thm)],[21420, 21160])).
% 6.95/5.78 tff(21422,plain,
% 6.95/5.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88)) | trans(s299, s89))),
% 6.95/5.79 inference(monotonicity,[status(thm)],[21421])).
% 6.95/5.79 tff(21423,plain,
% 6.95/5.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89))),
% 6.95/5.79 inference(transitivity,[status(thm)],[21422, 21159])).
% 6.95/5.79 tff(21424,plain,
% 6.95/5.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89)) | trans(s299, s90))),
% 6.95/5.79 inference(monotonicity,[status(thm)],[21423])).
% 6.95/5.79 tff(21425,plain,
% 6.95/5.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90))),
% 6.95/5.79 inference(transitivity,[status(thm)],[21424, 21158])).
% 6.95/5.79 tff(21426,plain,
% 6.95/5.79 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90)) | trans(s299, s91))),
% 6.95/5.80 inference(monotonicity,[status(thm)],[21425])).
% 6.95/5.80 tff(21427,plain,
% 6.95/5.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91))),
% 6.95/5.80 inference(transitivity,[status(thm)],[21426, 21157])).
% 6.95/5.80 tff(21428,plain,
% 6.95/5.80 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91)) | trans(s299, s92))),
% 6.95/5.80 inference(monotonicity,[status(thm)],[21427])).
% 6.95/5.80 tff(21429,plain,
% 6.95/5.80 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92))),
% 7.04/5.81 inference(transitivity,[status(thm)],[21428, 21156])).
% 7.04/5.81 tff(21430,plain,
% 7.04/5.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92)) | trans(s299, s93))),
% 7.04/5.81 inference(monotonicity,[status(thm)],[21429])).
% 7.04/5.81 tff(21431,plain,
% 7.04/5.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93))),
% 7.04/5.81 inference(transitivity,[status(thm)],[21430, 21155])).
% 7.04/5.81 tff(21432,plain,
% 7.04/5.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93)) | trans(s299, s94))),
% 7.04/5.82 inference(monotonicity,[status(thm)],[21431])).
% 7.04/5.82 tff(21433,plain,
% 7.04/5.82 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94))),
% 7.04/5.82 inference(transitivity,[status(thm)],[21432, 21154])).
% 7.04/5.82 tff(21434,plain,
% 7.04/5.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94)) | trans(s299, s95))),
% 7.04/5.82 inference(monotonicity,[status(thm)],[21433])).
% 7.04/5.82 tff(21435,plain,
% 7.04/5.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95))),
% 7.04/5.83 inference(transitivity,[status(thm)],[21434, 21153])).
% 7.04/5.83 tff(21436,plain,
% 7.04/5.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95)) | trans(s299, s96))),
% 7.04/5.83 inference(monotonicity,[status(thm)],[21435])).
% 7.04/5.83 tff(21437,plain,
% 7.04/5.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96))),
% 7.04/5.83 inference(transitivity,[status(thm)],[21436, 21152])).
% 7.04/5.83 tff(21438,plain,
% 7.04/5.83 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96)) | trans(s299, s97))),
% 7.04/5.84 inference(monotonicity,[status(thm)],[21437])).
% 7.04/5.84 tff(21439,plain,
% 7.04/5.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97))),
% 7.04/5.84 inference(transitivity,[status(thm)],[21438, 21151])).
% 7.04/5.84 tff(21440,plain,
% 7.04/5.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97)) | trans(s299, s98))),
% 7.04/5.84 inference(monotonicity,[status(thm)],[21439])).
% 7.04/5.84 tff(21441,plain,
% 7.04/5.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98))),
% 7.04/5.84 inference(transitivity,[status(thm)],[21440, 21150])).
% 7.04/5.84 tff(21442,plain,
% 7.04/5.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98)) | trans(s299, s99))),
% 7.04/5.85 inference(monotonicity,[status(thm)],[21441])).
% 7.04/5.85 tff(21443,plain,
% 7.04/5.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99))),
% 7.04/5.85 inference(transitivity,[status(thm)],[21442, 21149])).
% 7.04/5.85 tff(21444,plain,
% 7.04/5.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99)) | trans(s299, s100))),
% 7.04/5.86 inference(monotonicity,[status(thm)],[21443])).
% 7.04/5.86 tff(21445,plain,
% 7.04/5.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100))),
% 7.04/5.86 inference(transitivity,[status(thm)],[21444, 21148])).
% 7.04/5.86 tff(21446,plain,
% 7.04/5.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100)) | trans(s299, s101))),
% 7.04/5.86 inference(monotonicity,[status(thm)],[21445])).
% 7.04/5.86 tff(21447,plain,
% 7.04/5.86 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101))),
% 7.04/5.87 inference(transitivity,[status(thm)],[21446, 21147])).
% 7.04/5.87 tff(21448,plain,
% 7.04/5.87 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101)) | trans(s299, s102))),
% 7.04/5.87 inference(monotonicity,[status(thm)],[21447])).
% 7.04/5.87 tff(21449,plain,
% 7.04/5.87 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102))),
% 7.04/5.87 inference(transitivity,[status(thm)],[21448, 21146])).
% 7.04/5.87 tff(21450,plain,
% 7.04/5.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102)) | trans(s299, s103))),
% 7.04/5.87 inference(monotonicity,[status(thm)],[21449])).
% 7.04/5.87 tff(21451,plain,
% 7.04/5.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103))),
% 7.04/5.88 inference(transitivity,[status(thm)],[21450, 21145])).
% 7.04/5.88 tff(21452,plain,
% 7.04/5.88 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103)) | trans(s299, s104))),
% 7.04/5.88 inference(monotonicity,[status(thm)],[21451])).
% 7.04/5.88 tff(21453,plain,
% 7.04/5.88 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104))),
% 7.04/5.88 inference(transitivity,[status(thm)],[21452, 21144])).
% 7.04/5.88 tff(21454,plain,
% 7.04/5.88 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104)) | trans(s299, s105))),
% 7.04/5.89 inference(monotonicity,[status(thm)],[21453])).
% 7.04/5.89 tff(21455,plain,
% 7.04/5.89 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105))),
% 7.13/5.89 inference(transitivity,[status(thm)],[21454, 21143])).
% 7.13/5.89 tff(21456,plain,
% 7.13/5.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105)) | trans(s299, s106))),
% 7.13/5.89 inference(monotonicity,[status(thm)],[21455])).
% 7.13/5.89 tff(21457,plain,
% 7.13/5.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106))),
% 7.13/5.90 inference(transitivity,[status(thm)],[21456, 21142])).
% 7.13/5.90 tff(21458,plain,
% 7.13/5.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106)) | trans(s299, s107))),
% 7.13/5.90 inference(monotonicity,[status(thm)],[21457])).
% 7.13/5.90 tff(21459,plain,
% 7.13/5.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107))),
% 7.14/5.90 inference(transitivity,[status(thm)],[21458, 21141])).
% 7.14/5.90 tff(21460,plain,
% 7.14/5.90 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107)) | trans(s299, s108))),
% 7.14/5.91 inference(monotonicity,[status(thm)],[21459])).
% 7.14/5.91 tff(21461,plain,
% 7.14/5.91 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108))),
% 7.14/5.91 inference(transitivity,[status(thm)],[21460, 21140])).
% 7.14/5.91 tff(21462,plain,
% 7.14/5.91 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108)) | trans(s299, s109))),
% 7.14/5.92 inference(monotonicity,[status(thm)],[21461])).
% 7.14/5.92 tff(21463,plain,
% 7.14/5.92 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109))),
% 7.14/5.92 inference(transitivity,[status(thm)],[21462, 21139])).
% 7.14/5.92 tff(21464,plain,
% 7.14/5.92 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109)) | trans(s299, s110))),
% 7.14/5.92 inference(monotonicity,[status(thm)],[21463])).
% 7.14/5.92 tff(21465,plain,
% 7.14/5.92 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110))),
% 7.14/5.93 inference(transitivity,[status(thm)],[21464, 21138])).
% 7.14/5.93 tff(21466,plain,
% 7.14/5.93 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110)) | trans(s299, s111))),
% 7.14/5.93 inference(monotonicity,[status(thm)],[21465])).
% 7.14/5.93 tff(21467,plain,
% 7.14/5.93 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111))),
% 7.14/5.93 inference(transitivity,[status(thm)],[21466, 21137])).
% 7.14/5.93 tff(21468,plain,
% 7.14/5.93 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111)) | trans(s299, s112))),
% 7.14/5.93 inference(monotonicity,[status(thm)],[21467])).
% 7.14/5.93 tff(21469,plain,
% 7.14/5.93 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112))),
% 7.14/5.94 inference(transitivity,[status(thm)],[21468, 21136])).
% 7.14/5.94 tff(21470,plain,
% 7.14/5.94 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112)) | trans(s299, s113))),
% 7.14/5.94 inference(monotonicity,[status(thm)],[21469])).
% 7.14/5.94 tff(21471,plain,
% 7.14/5.94 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113))),
% 7.14/5.95 inference(transitivity,[status(thm)],[21470, 21135])).
% 7.14/5.95 tff(21472,plain,
% 7.14/5.95 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113)) | trans(s299, s114))),
% 7.14/5.95 inference(monotonicity,[status(thm)],[21471])).
% 7.14/5.95 tff(21473,plain,
% 7.14/5.95 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114))),
% 7.14/5.95 inference(transitivity,[status(thm)],[21472, 21134])).
% 7.14/5.95 tff(21474,plain,
% 7.14/5.95 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114)) | trans(s299, s115))),
% 7.14/5.96 inference(monotonicity,[status(thm)],[21473])).
% 7.14/5.96 tff(21475,plain,
% 7.14/5.96 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115))),
% 7.14/5.96 inference(transitivity,[status(thm)],[21474, 21133])).
% 7.14/5.96 tff(21476,plain,
% 7.14/5.96 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115)) | trans(s299, s116))),
% 7.14/5.96 inference(monotonicity,[status(thm)],[21475])).
% 7.14/5.96 tff(21477,plain,
% 7.14/5.96 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116))),
% 7.14/5.97 inference(transitivity,[status(thm)],[21476, 21132])).
% 7.14/5.97 tff(21478,plain,
% 7.14/5.97 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116)) | trans(s299, s117))),
% 7.14/5.97 inference(monotonicity,[status(thm)],[21477])).
% 7.14/5.97 tff(21479,plain,
% 7.14/5.97 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117))),
% 7.14/5.97 inference(transitivity,[status(thm)],[21478, 21131])).
% 7.14/5.97 tff(21480,plain,
% 7.14/5.97 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117)) | trans(s299, s118))),
% 7.14/5.98 inference(monotonicity,[status(thm)],[21479])).
% 7.14/5.98 tff(21481,plain,
% 7.14/5.98 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118))),
% 7.14/5.98 inference(transitivity,[status(thm)],[21480, 21130])).
% 7.14/5.98 tff(21482,plain,
% 7.14/5.98 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118)) | trans(s299, s119))),
% 7.14/5.99 inference(monotonicity,[status(thm)],[21481])).
% 7.14/5.99 tff(21483,plain,
% 7.14/5.99 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119))),
% 7.14/5.99 inference(transitivity,[status(thm)],[21482, 21129])).
% 7.14/5.99 tff(21484,plain,
% 7.14/5.99 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119)) | trans(s299, s120))),
% 7.14/5.99 inference(monotonicity,[status(thm)],[21483])).
% 7.14/5.99 tff(21485,plain,
% 7.14/5.99 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120))),
% 7.14/6.00 inference(transitivity,[status(thm)],[21484, 21128])).
% 7.14/6.00 tff(21486,plain,
% 7.14/6.00 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120)) | trans(s299, s121))),
% 7.14/6.00 inference(monotonicity,[status(thm)],[21485])).
% 7.14/6.00 tff(21487,plain,
% 7.14/6.00 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121))),
% 7.24/6.01 inference(transitivity,[status(thm)],[21486, 21127])).
% 7.24/6.01 tff(21488,plain,
% 7.24/6.01 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121)) | trans(s299, s122))),
% 7.24/6.01 inference(monotonicity,[status(thm)],[21487])).
% 7.24/6.01 tff(21489,plain,
% 7.24/6.01 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122))),
% 7.24/6.01 inference(transitivity,[status(thm)],[21488, 21126])).
% 7.24/6.01 tff(21490,plain,
% 7.24/6.01 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122)) | trans(s299, s123))),
% 7.24/6.02 inference(monotonicity,[status(thm)],[21489])).
% 7.24/6.02 tff(21491,plain,
% 7.24/6.02 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123))),
% 7.24/6.02 inference(transitivity,[status(thm)],[21490, 21125])).
% 7.24/6.02 tff(21492,plain,
% 7.24/6.02 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123)) | trans(s299, s124))),
% 7.24/6.02 inference(monotonicity,[status(thm)],[21491])).
% 7.24/6.02 tff(21493,plain,
% 7.24/6.02 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124))),
% 7.24/6.03 inference(transitivity,[status(thm)],[21492, 21124])).
% 7.24/6.03 tff(21494,plain,
% 7.24/6.03 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124)) | trans(s299, s125))),
% 7.24/6.03 inference(monotonicity,[status(thm)],[21493])).
% 7.24/6.03 tff(21495,plain,
% 7.24/6.03 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125))),
% 7.24/6.04 inference(transitivity,[status(thm)],[21494, 21123])).
% 7.24/6.04 tff(21496,plain,
% 7.24/6.04 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125)) | trans(s299, s126))),
% 7.24/6.04 inference(monotonicity,[status(thm)],[21495])).
% 7.24/6.04 tff(21497,plain,
% 7.24/6.04 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126))),
% 7.24/6.04 inference(transitivity,[status(thm)],[21496, 21122])).
% 7.24/6.04 tff(21498,plain,
% 7.24/6.04 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126)) | trans(s299, s127))),
% 7.24/6.05 inference(monotonicity,[status(thm)],[21497])).
% 7.24/6.05 tff(21499,plain,
% 7.24/6.05 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127))),
% 7.24/6.05 inference(transitivity,[status(thm)],[21498, 21121])).
% 7.24/6.05 tff(21500,plain,
% 7.24/6.05 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127)) | trans(s299, s128))),
% 7.24/6.06 inference(monotonicity,[status(thm)],[21499])).
% 7.24/6.06 tff(21501,plain,
% 7.24/6.06 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128))),
% 7.24/6.06 inference(transitivity,[status(thm)],[21500, 21120])).
% 7.24/6.06 tff(21502,plain,
% 7.24/6.06 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128)) | trans(s299, s129))),
% 7.24/6.06 inference(monotonicity,[status(thm)],[21501])).
% 7.24/6.06 tff(21503,plain,
% 7.24/6.06 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129))),
% 7.24/6.07 inference(transitivity,[status(thm)],[21502, 21119])).
% 7.24/6.07 tff(21504,plain,
% 7.24/6.07 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129)) | trans(s299, s130))),
% 7.24/6.07 inference(monotonicity,[status(thm)],[21503])).
% 7.24/6.07 tff(21505,plain,
% 7.24/6.07 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130))),
% 7.24/6.08 inference(transitivity,[status(thm)],[21504, 21118])).
% 7.24/6.08 tff(21506,plain,
% 7.24/6.08 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130)) | trans(s299, s131))),
% 7.24/6.08 inference(monotonicity,[status(thm)],[21505])).
% 7.24/6.08 tff(21507,plain,
% 7.24/6.08 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131))),
% 7.24/6.08 inference(transitivity,[status(thm)],[21506, 21117])).
% 7.24/6.08 tff(21508,plain,
% 7.24/6.08 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131)) | trans(s299, s132))),
% 7.24/6.09 inference(monotonicity,[status(thm)],[21507])).
% 7.24/6.09 tff(21509,plain,
% 7.24/6.09 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132))),
% 7.24/6.09 inference(transitivity,[status(thm)],[21508, 21116])).
% 7.24/6.09 tff(21510,plain,
% 7.24/6.09 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132)) | trans(s299, s133))),
% 7.24/6.10 inference(monotonicity,[status(thm)],[21509])).
% 7.24/6.10 tff(21511,plain,
% 7.24/6.10 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133))),
% 7.33/6.10 inference(transitivity,[status(thm)],[21510, 21115])).
% 7.33/6.10 tff(21512,plain,
% 7.33/6.10 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133)) | trans(s299, s134))),
% 7.33/6.10 inference(monotonicity,[status(thm)],[21511])).
% 7.33/6.10 tff(21513,plain,
% 7.33/6.10 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134))),
% 7.33/6.11 inference(transitivity,[status(thm)],[21512, 21114])).
% 7.33/6.11 tff(21514,plain,
% 7.33/6.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134)) | trans(s299, s135))),
% 7.33/6.11 inference(monotonicity,[status(thm)],[21513])).
% 7.33/6.11 tff(21515,plain,
% 7.33/6.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135))),
% 7.33/6.12 inference(transitivity,[status(thm)],[21514, 21113])).
% 7.33/6.12 tff(21516,plain,
% 7.33/6.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135)) | trans(s299, s136))),
% 7.33/6.12 inference(monotonicity,[status(thm)],[21515])).
% 7.33/6.12 tff(21517,plain,
% 7.33/6.12 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136))),
% 7.33/6.13 inference(transitivity,[status(thm)],[21516, 21112])).
% 7.33/6.13 tff(21518,plain,
% 7.33/6.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136)) | trans(s299, s137))),
% 7.33/6.13 inference(monotonicity,[status(thm)],[21517])).
% 7.33/6.13 tff(21519,plain,
% 7.33/6.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137))),
% 7.33/6.14 inference(transitivity,[status(thm)],[21518, 21111])).
% 7.33/6.14 tff(21520,plain,
% 7.33/6.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137)) | trans(s299, s138))),
% 7.33/6.14 inference(monotonicity,[status(thm)],[21519])).
% 7.33/6.14 tff(21521,plain,
% 7.33/6.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138))),
% 7.33/6.14 inference(transitivity,[status(thm)],[21520, 21110])).
% 7.33/6.14 tff(21522,plain,
% 7.33/6.14 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138)) | trans(s299, s139))),
% 7.33/6.15 inference(monotonicity,[status(thm)],[21521])).
% 7.33/6.15 tff(21523,plain,
% 7.33/6.15 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139))),
% 7.33/6.15 inference(transitivity,[status(thm)],[21522, 21109])).
% 7.33/6.15 tff(21524,plain,
% 7.33/6.15 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139)) | trans(s299, s140))),
% 7.33/6.16 inference(monotonicity,[status(thm)],[21523])).
% 7.33/6.16 tff(21525,plain,
% 7.33/6.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140))),
% 7.33/6.16 inference(transitivity,[status(thm)],[21524, 21108])).
% 7.33/6.16 tff(21526,plain,
% 7.33/6.16 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140)) | trans(s299, s141))),
% 7.33/6.16 inference(monotonicity,[status(thm)],[21525])).
% 7.33/6.16 tff(21527,plain,
% 7.33/6.16 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141))),
% 7.33/6.17 inference(transitivity,[status(thm)],[21526, 21107])).
% 7.33/6.17 tff(21528,plain,
% 7.33/6.17 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141)) | trans(s299, s142))),
% 7.33/6.17 inference(monotonicity,[status(thm)],[21527])).
% 7.33/6.17 tff(21529,plain,
% 7.33/6.17 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142))),
% 7.33/6.18 inference(transitivity,[status(thm)],[21528, 21106])).
% 7.33/6.18 tff(21530,plain,
% 7.33/6.18 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142)) | trans(s299, s143))),
% 7.33/6.18 inference(monotonicity,[status(thm)],[21529])).
% 7.33/6.18 tff(21531,plain,
% 7.33/6.18 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143))),
% 7.33/6.19 inference(transitivity,[status(thm)],[21530, 21105])).
% 7.33/6.19 tff(21532,plain,
% 7.33/6.19 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143)) | trans(s299, s144))),
% 7.43/6.19 inference(monotonicity,[status(thm)],[21531])).
% 7.43/6.19 tff(21533,plain,
% 7.43/6.19 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144))),
% 7.43/6.20 inference(transitivity,[status(thm)],[21532, 21104])).
% 7.43/6.20 tff(21534,plain,
% 7.43/6.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144)) | trans(s299, s145))),
% 7.43/6.20 inference(monotonicity,[status(thm)],[21533])).
% 7.43/6.20 tff(21535,plain,
% 7.43/6.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145))),
% 7.43/6.20 inference(transitivity,[status(thm)],[21534, 21103])).
% 7.43/6.20 tff(21536,plain,
% 7.43/6.20 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145)) | trans(s299, s146))),
% 7.43/6.21 inference(monotonicity,[status(thm)],[21535])).
% 7.43/6.21 tff(21537,plain,
% 7.43/6.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146))),
% 7.43/6.21 inference(transitivity,[status(thm)],[21536, 21102])).
% 7.43/6.21 tff(21538,plain,
% 7.43/6.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146)) | trans(s299, s147))),
% 7.43/6.22 inference(monotonicity,[status(thm)],[21537])).
% 7.43/6.22 tff(21539,plain,
% 7.43/6.22 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147))),
% 7.43/6.22 inference(transitivity,[status(thm)],[21538, 21101])).
% 7.43/6.22 tff(21540,plain,
% 7.43/6.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147)) | trans(s299, s148))),
% 7.43/6.23 inference(monotonicity,[status(thm)],[21539])).
% 7.43/6.23 tff(21541,plain,
% 7.43/6.23 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148))),
% 7.43/6.23 inference(transitivity,[status(thm)],[21540, 21100])).
% 7.43/6.23 tff(21542,plain,
% 7.43/6.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148)) | trans(s299, s149))),
% 7.43/6.24 inference(monotonicity,[status(thm)],[21541])).
% 7.43/6.24 tff(21543,plain,
% 7.43/6.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149))),
% 7.43/6.24 inference(transitivity,[status(thm)],[21542, 21099])).
% 7.43/6.24 tff(21544,plain,
% 7.43/6.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149)) | trans(s299, s150))),
% 7.43/6.25 inference(monotonicity,[status(thm)],[21543])).
% 7.43/6.25 tff(21545,plain,
% 7.43/6.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150))),
% 7.43/6.25 inference(transitivity,[status(thm)],[21544, 21098])).
% 7.43/6.25 tff(21546,plain,
% 7.43/6.25 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150)) | trans(s299, s151))),
% 7.43/6.26 inference(monotonicity,[status(thm)],[21545])).
% 7.43/6.26 tff(21547,plain,
% 7.43/6.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151))),
% 7.43/6.26 inference(transitivity,[status(thm)],[21546, 21097])).
% 7.43/6.26 tff(21548,plain,
% 7.43/6.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151)) | trans(s299, s152))),
% 7.43/6.26 inference(monotonicity,[status(thm)],[21547])).
% 7.43/6.26 tff(21549,plain,
% 7.43/6.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152))),
% 7.43/6.27 inference(transitivity,[status(thm)],[21548, 21096])).
% 7.43/6.27 tff(21550,plain,
% 7.43/6.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152)) | trans(s299, s153))),
% 7.43/6.27 inference(monotonicity,[status(thm)],[21549])).
% 7.43/6.27 tff(21551,plain,
% 7.43/6.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153))),
% 7.43/6.28 inference(transitivity,[status(thm)],[21550, 21095])).
% 7.43/6.28 tff(21552,plain,
% 7.43/6.28 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153)) | trans(s299, s154))),
% 7.43/6.28 inference(monotonicity,[status(thm)],[21551])).
% 7.43/6.28 tff(21553,plain,
% 7.43/6.28 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154))),
% 7.53/6.29 inference(transitivity,[status(thm)],[21552, 21094])).
% 7.53/6.29 tff(21554,plain,
% 7.53/6.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154)) | trans(s299, s155))),
% 7.53/6.29 inference(monotonicity,[status(thm)],[21553])).
% 7.53/6.29 tff(21555,plain,
% 7.53/6.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155))),
% 7.53/6.30 inference(transitivity,[status(thm)],[21554, 21093])).
% 7.53/6.30 tff(21556,plain,
% 7.53/6.30 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155)) | trans(s299, s156))),
% 7.54/6.30 inference(monotonicity,[status(thm)],[21555])).
% 7.54/6.30 tff(21557,plain,
% 7.54/6.30 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156))),
% 7.54/6.31 inference(transitivity,[status(thm)],[21556, 21092])).
% 7.54/6.31 tff(21558,plain,
% 7.54/6.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156)) | trans(s299, s157))),
% 7.54/6.31 inference(monotonicity,[status(thm)],[21557])).
% 7.54/6.31 tff(21559,plain,
% 7.54/6.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157))),
% 7.54/6.32 inference(transitivity,[status(thm)],[21558, 21091])).
% 7.54/6.32 tff(21560,plain,
% 7.54/6.32 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157)) | trans(s299, s158))),
% 7.54/6.32 inference(monotonicity,[status(thm)],[21559])).
% 7.54/6.32 tff(21561,plain,
% 7.54/6.32 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158))),
% 7.54/6.33 inference(transitivity,[status(thm)],[21560, 21090])).
% 7.54/6.33 tff(21562,plain,
% 7.54/6.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158)) | trans(s299, s159))),
% 7.54/6.33 inference(monotonicity,[status(thm)],[21561])).
% 7.54/6.33 tff(21563,plain,
% 7.54/6.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159))),
% 7.54/6.34 inference(transitivity,[status(thm)],[21562, 21089])).
% 7.54/6.34 tff(21564,plain,
% 7.54/6.34 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159)) | trans(s299, s160))),
% 7.54/6.34 inference(monotonicity,[status(thm)],[21563])).
% 7.54/6.34 tff(21565,plain,
% 7.54/6.34 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160))),
% 7.54/6.35 inference(transitivity,[status(thm)],[21564, 21088])).
% 7.54/6.35 tff(21566,plain,
% 7.54/6.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160)) | trans(s299, s161))),
% 7.54/6.35 inference(monotonicity,[status(thm)],[21565])).
% 7.54/6.35 tff(21567,plain,
% 7.54/6.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161))),
% 7.54/6.36 inference(transitivity,[status(thm)],[21566, 21087])).
% 7.54/6.36 tff(21568,plain,
% 7.54/6.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161)) | trans(s299, s162))),
% 7.54/6.36 inference(monotonicity,[status(thm)],[21567])).
% 7.54/6.36 tff(21569,plain,
% 7.54/6.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162))),
% 7.54/6.37 inference(transitivity,[status(thm)],[21568, 21086])).
% 7.54/6.37 tff(21570,plain,
% 7.54/6.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162)) | trans(s299, s163))),
% 7.54/6.37 inference(monotonicity,[status(thm)],[21569])).
% 7.54/6.37 tff(21571,plain,
% 7.54/6.37 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163))),
% 7.54/6.38 inference(transitivity,[status(thm)],[21570, 21085])).
% 7.54/6.38 tff(21572,plain,
% 7.54/6.38 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163)) | trans(s299, s164))),
% 7.54/6.39 inference(monotonicity,[status(thm)],[21571])).
% 7.54/6.39 tff(21573,plain,
% 7.54/6.39 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164))),
% 7.54/6.39 inference(transitivity,[status(thm)],[21572, 21084])).
% 7.54/6.39 tff(21574,plain,
% 7.54/6.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164)) | trans(s299, s165))),
% 7.54/6.39 inference(monotonicity,[status(thm)],[21573])).
% 7.54/6.39 tff(21575,plain,
% 7.54/6.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165))),
% 7.54/6.40 inference(transitivity,[status(thm)],[21574, 21083])).
% 7.54/6.40 tff(21576,plain,
% 7.54/6.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165)) | trans(s299, s166))),
% 7.64/6.40 inference(monotonicity,[status(thm)],[21575])).
% 7.64/6.40 tff(21577,plain,
% 7.64/6.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166))),
% 7.64/6.41 inference(transitivity,[status(thm)],[21576, 21082])).
% 7.64/6.41 tff(21578,plain,
% 7.64/6.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166)) | trans(s299, s167))),
% 7.64/6.42 inference(monotonicity,[status(thm)],[21577])).
% 7.64/6.42 tff(21579,plain,
% 7.64/6.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167))),
% 7.64/6.42 inference(transitivity,[status(thm)],[21578, 21081])).
% 7.64/6.42 tff(21580,plain,
% 7.64/6.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167)) | trans(s299, s168))),
% 7.64/6.42 inference(monotonicity,[status(thm)],[21579])).
% 7.64/6.42 tff(21581,plain,
% 7.64/6.42 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168))),
% 7.64/6.43 inference(transitivity,[status(thm)],[21580, 21080])).
% 7.64/6.43 tff(21582,plain,
% 7.64/6.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168)) | trans(s299, s169))),
% 7.64/6.43 inference(monotonicity,[status(thm)],[21581])).
% 7.64/6.43 tff(21583,plain,
% 7.64/6.43 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169))),
% 7.64/6.44 inference(transitivity,[status(thm)],[21582, 21079])).
% 7.64/6.44 tff(21584,plain,
% 7.64/6.44 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169)) | trans(s299, s170))),
% 7.64/6.45 inference(monotonicity,[status(thm)],[21583])).
% 7.64/6.45 tff(21585,plain,
% 7.64/6.45 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170))),
% 7.64/6.45 inference(transitivity,[status(thm)],[21584, 21078])).
% 7.64/6.45 tff(21586,plain,
% 7.64/6.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170)) | trans(s299, s171))),
% 7.64/6.45 inference(monotonicity,[status(thm)],[21585])).
% 7.64/6.45 tff(21587,plain,
% 7.64/6.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171))),
% 7.64/6.46 inference(transitivity,[status(thm)],[21586, 21077])).
% 7.64/6.46 tff(21588,plain,
% 7.64/6.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171)) | trans(s299, s172))),
% 7.64/6.47 inference(monotonicity,[status(thm)],[21587])).
% 7.64/6.47 tff(21589,plain,
% 7.64/6.47 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172))),
% 7.64/6.47 inference(transitivity,[status(thm)],[21588, 21076])).
% 7.64/6.47 tff(21590,plain,
% 7.64/6.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172)) | trans(s299, s173))),
% 7.64/6.48 inference(monotonicity,[status(thm)],[21589])).
% 7.64/6.48 tff(21591,plain,
% 7.64/6.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173))),
% 7.64/6.48 inference(transitivity,[status(thm)],[21590, 21075])).
% 7.64/6.48 tff(21592,plain,
% 7.64/6.48 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173)) | trans(s299, s174))),
% 7.64/6.49 inference(monotonicity,[status(thm)],[21591])).
% 7.64/6.49 tff(21593,plain,
% 7.64/6.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174))),
% 7.64/6.49 inference(transitivity,[status(thm)],[21592, 21074])).
% 7.64/6.49 tff(21594,plain,
% 7.64/6.49 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174)) | trans(s299, s175))),
% 7.64/6.50 inference(monotonicity,[status(thm)],[21593])).
% 7.64/6.50 tff(21595,plain,
% 7.64/6.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175))),
% 7.64/6.50 inference(transitivity,[status(thm)],[21594, 21073])).
% 7.64/6.50 tff(21596,plain,
% 7.64/6.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175)) | trans(s299, s176))),
% 7.64/6.51 inference(monotonicity,[status(thm)],[21595])).
% 7.64/6.51 tff(21597,plain,
% 7.64/6.51 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176))),
% 7.75/6.52 inference(transitivity,[status(thm)],[21596, 21072])).
% 7.75/6.52 tff(21598,plain,
% 7.75/6.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176)) | trans(s299, s177))),
% 7.75/6.52 inference(monotonicity,[status(thm)],[21597])).
% 7.75/6.52 tff(21599,plain,
% 7.75/6.52 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177))),
% 7.75/6.53 inference(transitivity,[status(thm)],[21598, 21071])).
% 7.75/6.53 tff(21600,plain,
% 7.75/6.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177)) | trans(s299, s178))),
% 7.75/6.53 inference(monotonicity,[status(thm)],[21599])).
% 7.75/6.53 tff(21601,plain,
% 7.75/6.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178))),
% 7.75/6.54 inference(transitivity,[status(thm)],[21600, 21070])).
% 7.75/6.54 tff(21602,plain,
% 7.75/6.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178)) | trans(s299, s179))),
% 7.75/6.54 inference(monotonicity,[status(thm)],[21601])).
% 7.75/6.54 tff(21603,plain,
% 7.75/6.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179))),
% 7.75/6.55 inference(transitivity,[status(thm)],[21602, 21069])).
% 7.75/6.55 tff(21604,plain,
% 7.75/6.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179)) | trans(s299, s180))),
% 7.75/6.55 inference(monotonicity,[status(thm)],[21603])).
% 7.75/6.55 tff(21605,plain,
% 7.75/6.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180))),
% 7.75/6.56 inference(transitivity,[status(thm)],[21604, 21068])).
% 7.75/6.56 tff(21606,plain,
% 7.75/6.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180)) | trans(s299, s181))),
% 7.75/6.56 inference(monotonicity,[status(thm)],[21605])).
% 7.75/6.56 tff(21607,plain,
% 7.75/6.56 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181))),
% 7.75/6.57 inference(transitivity,[status(thm)],[21606, 21067])).
% 7.75/6.57 tff(21608,plain,
% 7.75/6.57 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181)) | trans(s299, s182))),
% 7.75/6.58 inference(monotonicity,[status(thm)],[21607])).
% 7.75/6.58 tff(21609,plain,
% 7.75/6.58 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182))),
% 7.75/6.58 inference(transitivity,[status(thm)],[21608, 21066])).
% 7.75/6.58 tff(21610,plain,
% 7.75/6.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182)) | trans(s299, s183))),
% 7.75/6.59 inference(monotonicity,[status(thm)],[21609])).
% 7.75/6.59 tff(21611,plain,
% 7.75/6.59 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183))),
% 7.75/6.59 inference(transitivity,[status(thm)],[21610, 21065])).
% 7.75/6.59 tff(21612,plain,
% 7.75/6.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183)) | trans(s299, s184))),
% 7.75/6.60 inference(monotonicity,[status(thm)],[21611])).
% 7.75/6.60 tff(21613,plain,
% 7.75/6.60 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184))),
% 7.75/6.60 inference(transitivity,[status(thm)],[21612, 21064])).
% 7.75/6.60 tff(21614,plain,
% 7.75/6.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184)) | trans(s299, s185))),
% 7.84/6.61 inference(monotonicity,[status(thm)],[21613])).
% 7.84/6.61 tff(21615,plain,
% 7.84/6.61 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185))),
% 7.84/6.62 inference(transitivity,[status(thm)],[21614, 21063])).
% 7.84/6.62 tff(21616,plain,
% 7.84/6.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185)) | trans(s299, s186))),
% 7.84/6.62 inference(monotonicity,[status(thm)],[21615])).
% 7.84/6.62 tff(21617,plain,
% 7.84/6.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186))),
% 7.84/6.63 inference(transitivity,[status(thm)],[21616, 21062])).
% 7.84/6.63 tff(21618,plain,
% 7.84/6.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186)) | trans(s299, s187))),
% 7.84/6.63 inference(monotonicity,[status(thm)],[21617])).
% 7.84/6.63 tff(21619,plain,
% 7.84/6.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187))),
% 7.84/6.64 inference(transitivity,[status(thm)],[21618, 21061])).
% 7.84/6.64 tff(21620,plain,
% 7.84/6.64 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187)) | trans(s299, s188))),
% 7.84/6.65 inference(monotonicity,[status(thm)],[21619])).
% 7.84/6.65 tff(21621,plain,
% 7.84/6.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188))),
% 7.84/6.65 inference(transitivity,[status(thm)],[21620, 21060])).
% 7.84/6.65 tff(21622,plain,
% 7.84/6.65 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188)) | trans(s299, s189))),
% 7.84/6.66 inference(monotonicity,[status(thm)],[21621])).
% 7.84/6.66 tff(21623,plain,
% 7.84/6.66 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189))),
% 7.84/6.66 inference(transitivity,[status(thm)],[21622, 21059])).
% 7.84/6.66 tff(21624,plain,
% 7.84/6.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189)) | trans(s299, s190))),
% 7.84/6.67 inference(monotonicity,[status(thm)],[21623])).
% 7.84/6.67 tff(21625,plain,
% 7.84/6.67 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190))),
% 7.84/6.68 inference(transitivity,[status(thm)],[21624, 21058])).
% 7.84/6.68 tff(21626,plain,
% 7.84/6.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190)) | trans(s299, s191))),
% 7.84/6.68 inference(monotonicity,[status(thm)],[21625])).
% 7.84/6.68 tff(21627,plain,
% 7.84/6.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191))),
% 7.84/6.69 inference(transitivity,[status(thm)],[21626, 21057])).
% 7.84/6.69 tff(21628,plain,
% 7.84/6.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191)) | trans(s299, s192))),
% 7.84/6.69 inference(monotonicity,[status(thm)],[21627])).
% 7.84/6.69 tff(21629,plain,
% 7.84/6.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192))),
% 7.84/6.70 inference(transitivity,[status(thm)],[21628, 21056])).
% 7.84/6.70 tff(21630,plain,
% 7.84/6.70 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192)) | trans(s299, s193))),
% 7.94/6.71 inference(monotonicity,[status(thm)],[21629])).
% 7.94/6.71 tff(21631,plain,
% 7.94/6.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193))),
% 7.94/6.71 inference(transitivity,[status(thm)],[21630, 21055])).
% 7.94/6.71 tff(21632,plain,
% 7.94/6.71 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193)) | trans(s299, s194))),
% 7.94/6.72 inference(monotonicity,[status(thm)],[21631])).
% 7.94/6.72 tff(21633,plain,
% 7.94/6.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194))),
% 7.94/6.72 inference(transitivity,[status(thm)],[21632, 21054])).
% 7.94/6.72 tff(21634,plain,
% 7.94/6.72 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194)) | trans(s299, s195))),
% 7.94/6.73 inference(monotonicity,[status(thm)],[21633])).
% 7.94/6.73 tff(21635,plain,
% 7.94/6.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195))),
% 7.94/6.73 inference(transitivity,[status(thm)],[21634, 21053])).
% 7.94/6.73 tff(21636,plain,
% 7.94/6.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195)) | trans(s299, s196))),
% 7.94/6.74 inference(monotonicity,[status(thm)],[21635])).
% 7.94/6.74 tff(21637,plain,
% 7.94/6.74 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196))),
% 7.94/6.75 inference(transitivity,[status(thm)],[21636, 21052])).
% 7.94/6.75 tff(21638,plain,
% 7.94/6.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196)) | trans(s299, s197))),
% 7.94/6.75 inference(monotonicity,[status(thm)],[21637])).
% 7.94/6.75 tff(21639,plain,
% 7.94/6.75 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197))),
% 7.94/6.76 inference(transitivity,[status(thm)],[21638, 21051])).
% 7.94/6.76 tff(21640,plain,
% 7.94/6.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197)) | trans(s299, s198))),
% 7.94/6.76 inference(monotonicity,[status(thm)],[21639])).
% 7.94/6.76 tff(21641,plain,
% 7.94/6.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198))),
% 7.94/6.77 inference(transitivity,[status(thm)],[21640, 21050])).
% 7.94/6.77 tff(21642,plain,
% 7.94/6.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198)) | trans(s299, s199))),
% 7.94/6.78 inference(monotonicity,[status(thm)],[21641])).
% 7.94/6.78 tff(21643,plain,
% 7.94/6.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199))),
% 7.94/6.78 inference(transitivity,[status(thm)],[21642, 21049])).
% 7.94/6.78 tff(21644,plain,
% 7.94/6.78 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199)) | trans(s299, s200))),
% 7.94/6.79 inference(monotonicity,[status(thm)],[21643])).
% 7.94/6.79 tff(21645,plain,
% 7.94/6.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200))),
% 8.03/6.80 inference(transitivity,[status(thm)],[21644, 21048])).
% 8.03/6.80 tff(21646,plain,
% 8.03/6.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200)) | trans(s299, s201))),
% 8.03/6.80 inference(monotonicity,[status(thm)],[21645])).
% 8.03/6.80 tff(21647,plain,
% 8.03/6.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201))),
% 8.03/6.81 inference(transitivity,[status(thm)],[21646, 21047])).
% 8.03/6.81 tff(21648,plain,
% 8.03/6.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201)) | trans(s299, s202))),
% 8.03/6.81 inference(monotonicity,[status(thm)],[21647])).
% 8.03/6.81 tff(21649,plain,
% 8.03/6.81 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202))),
% 8.03/6.82 inference(transitivity,[status(thm)],[21648, 21046])).
% 8.03/6.82 tff(21650,plain,
% 8.03/6.82 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202)) | trans(s299, s203))),
% 8.03/6.83 inference(monotonicity,[status(thm)],[21649])).
% 8.03/6.83 tff(21651,plain,
% 8.03/6.83 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203))),
% 8.03/6.83 inference(transitivity,[status(thm)],[21650, 21045])).
% 8.03/6.83 tff(21652,plain,
% 8.03/6.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203)) | trans(s299, s204))),
% 8.03/6.84 inference(monotonicity,[status(thm)],[21651])).
% 8.03/6.84 tff(21653,plain,
% 8.03/6.84 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204))),
% 8.03/6.85 inference(transitivity,[status(thm)],[21652, 21044])).
% 8.03/6.85 tff(21654,plain,
% 8.03/6.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204)) | trans(s299, s205))),
% 8.03/6.85 inference(monotonicity,[status(thm)],[21653])).
% 8.03/6.85 tff(21655,plain,
% 8.03/6.85 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205))),
% 8.03/6.86 inference(transitivity,[status(thm)],[21654, 21043])).
% 8.03/6.86 tff(21656,plain,
% 8.03/6.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205)) | trans(s299, s206))),
% 8.03/6.86 inference(monotonicity,[status(thm)],[21655])).
% 8.03/6.86 tff(21657,plain,
% 8.03/6.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206))),
% 8.03/6.87 inference(transitivity,[status(thm)],[21656, 21042])).
% 8.03/6.87 tff(21658,plain,
% 8.03/6.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206)) | trans(s299, s207))),
% 8.03/6.88 inference(monotonicity,[status(thm)],[21657])).
% 8.03/6.88 tff(21659,plain,
% 8.03/6.88 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207))),
% 8.03/6.88 inference(transitivity,[status(thm)],[21658, 21041])).
% 8.03/6.88 tff(21660,plain,
% 8.03/6.88 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207)) | trans(s299, s208))),
% 8.13/6.89 inference(monotonicity,[status(thm)],[21659])).
% 8.13/6.89 tff(21661,plain,
% 8.13/6.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208))),
% 8.13/6.90 inference(transitivity,[status(thm)],[21660, 21040])).
% 8.13/6.90 tff(21662,plain,
% 8.13/6.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208)) | trans(s299, s209))),
% 8.13/6.90 inference(monotonicity,[status(thm)],[21661])).
% 8.13/6.90 tff(21663,plain,
% 8.13/6.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209))),
% 8.13/6.91 inference(transitivity,[status(thm)],[21662, 21039])).
% 8.13/6.91 tff(21664,plain,
% 8.13/6.91 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209)) | trans(s299, s210))),
% 8.13/6.92 inference(monotonicity,[status(thm)],[21663])).
% 8.13/6.92 tff(21665,plain,
% 8.13/6.92 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210))),
% 8.13/6.92 inference(transitivity,[status(thm)],[21664, 21038])).
% 8.13/6.92 tff(21666,plain,
% 8.13/6.92 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210)) | trans(s299, s211))),
% 8.13/6.93 inference(monotonicity,[status(thm)],[21665])).
% 8.13/6.93 tff(21667,plain,
% 8.13/6.93 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211))),
% 8.13/6.94 inference(transitivity,[status(thm)],[21666, 21037])).
% 8.13/6.94 tff(21668,plain,
% 8.13/6.94 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211)) | trans(s299, s212))),
% 8.13/6.94 inference(monotonicity,[status(thm)],[21667])).
% 8.13/6.94 tff(21669,plain,
% 8.13/6.94 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212))),
% 8.13/6.95 inference(transitivity,[status(thm)],[21668, 21036])).
% 8.13/6.95 tff(21670,plain,
% 8.13/6.95 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212)) | trans(s299, s213))),
% 8.13/6.96 inference(monotonicity,[status(thm)],[21669])).
% 8.13/6.96 tff(21671,plain,
% 8.13/6.96 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213))),
% 8.13/6.96 inference(transitivity,[status(thm)],[21670, 21035])).
% 8.13/6.96 tff(21672,plain,
% 8.13/6.96 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213)) | trans(s299, s214))),
% 8.13/6.97 inference(monotonicity,[status(thm)],[21671])).
% 8.13/6.97 tff(21673,plain,
% 8.13/6.97 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214))),
% 8.13/6.98 inference(transitivity,[status(thm)],[21672, 21034])).
% 8.13/6.98 tff(21674,plain,
% 8.13/6.98 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214)) | trans(s299, s215))),
% 8.13/6.98 inference(monotonicity,[status(thm)],[21673])).
% 8.13/6.98 tff(21675,plain,
% 8.13/6.98 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215))),
% 8.22/6.99 inference(transitivity,[status(thm)],[21674, 21033])).
% 8.22/6.99 tff(21676,plain,
% 8.22/6.99 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215)) | trans(s299, s216))),
% 8.23/7.00 inference(monotonicity,[status(thm)],[21675])).
% 8.23/7.00 tff(21677,plain,
% 8.23/7.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216))),
% 8.23/7.00 inference(transitivity,[status(thm)],[21676, 21032])).
% 8.23/7.00 tff(21678,plain,
% 8.23/7.00 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216)) | trans(s299, s217))),
% 8.24/7.01 inference(monotonicity,[status(thm)],[21677])).
% 8.24/7.01 tff(21679,plain,
% 8.24/7.01 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217))),
% 8.24/7.02 inference(transitivity,[status(thm)],[21678, 21031])).
% 8.24/7.02 tff(21680,plain,
% 8.24/7.02 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217)) | trans(s299, s218))),
% 8.24/7.03 inference(monotonicity,[status(thm)],[21679])).
% 8.24/7.03 tff(21681,plain,
% 8.24/7.03 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218))),
% 8.24/7.03 inference(transitivity,[status(thm)],[21680, 21030])).
% 8.24/7.03 tff(21682,plain,
% 8.24/7.03 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218)) | trans(s299, s219))),
% 8.24/7.04 inference(monotonicity,[status(thm)],[21681])).
% 8.24/7.04 tff(21683,plain,
% 8.24/7.04 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219))),
% 8.24/7.05 inference(transitivity,[status(thm)],[21682, 21029])).
% 8.24/7.05 tff(21684,plain,
% 8.24/7.05 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219)) | trans(s299, s220))),
% 8.24/7.05 inference(monotonicity,[status(thm)],[21683])).
% 8.24/7.05 tff(21685,plain,
% 8.24/7.05 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220))),
% 8.24/7.06 inference(transitivity,[status(thm)],[21684, 21028])).
% 8.24/7.06 tff(21686,plain,
% 8.24/7.06 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220)) | trans(s299, s221))),
% 8.24/7.07 inference(monotonicity,[status(thm)],[21685])).
% 8.24/7.07 tff(21687,plain,
% 8.24/7.07 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221))),
% 8.24/7.07 inference(transitivity,[status(thm)],[21686, 21027])).
% 8.24/7.07 tff(21688,plain,
% 8.24/7.07 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221)) | trans(s299, s222))),
% 8.24/7.08 inference(monotonicity,[status(thm)],[21687])).
% 8.24/7.08 tff(21689,plain,
% 8.24/7.08 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222))),
% 8.24/7.09 inference(transitivity,[status(thm)],[21688, 21026])).
% 8.24/7.09 tff(21690,plain,
% 8.24/7.09 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222)) | trans(s299, s223))),
% 8.24/7.09 inference(monotonicity,[status(thm)],[21689])).
% 8.24/7.09 tff(21691,plain,
% 8.24/7.09 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223))),
% 8.33/7.10 inference(transitivity,[status(thm)],[21690, 21025])).
% 8.33/7.10 tff(21692,plain,
% 8.33/7.10 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223)) | trans(s299, s224))),
% 8.33/7.11 inference(monotonicity,[status(thm)],[21691])).
% 8.33/7.11 tff(21693,plain,
% 8.33/7.11 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224))),
% 8.33/7.11 inference(transitivity,[status(thm)],[21692, 21024])).
% 8.33/7.11 tff(21694,plain,
% 8.33/7.11 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224)) | trans(s299, s225))),
% 8.33/7.12 inference(monotonicity,[status(thm)],[21693])).
% 8.33/7.12 tff(21695,plain,
% 8.33/7.12 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225))),
% 8.33/7.13 inference(transitivity,[status(thm)],[21694, 21023])).
% 8.33/7.13 tff(21696,plain,
% 8.33/7.13 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225)) | trans(s299, s226))),
% 8.33/7.14 inference(monotonicity,[status(thm)],[21695])).
% 8.33/7.14 tff(21697,plain,
% 8.33/7.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226))),
% 8.33/7.14 inference(transitivity,[status(thm)],[21696, 21022])).
% 8.33/7.14 tff(21698,plain,
% 8.33/7.14 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226)) | trans(s299, s227))),
% 8.33/7.15 inference(monotonicity,[status(thm)],[21697])).
% 8.33/7.15 tff(21699,plain,
% 8.33/7.15 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227))),
% 8.33/7.16 inference(transitivity,[status(thm)],[21698, 21021])).
% 8.33/7.16 tff(21700,plain,
% 8.33/7.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227)) | trans(s299, s228))),
% 8.33/7.16 inference(monotonicity,[status(thm)],[21699])).
% 8.33/7.16 tff(21701,plain,
% 8.33/7.16 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228))),
% 8.33/7.17 inference(transitivity,[status(thm)],[21700, 21020])).
% 8.33/7.17 tff(21702,plain,
% 8.33/7.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228)) | trans(s299, s229))),
% 8.33/7.18 inference(monotonicity,[status(thm)],[21701])).
% 8.33/7.18 tff(21703,plain,
% 8.33/7.18 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229))),
% 8.33/7.18 inference(transitivity,[status(thm)],[21702, 21019])).
% 8.33/7.18 tff(21704,plain,
% 8.33/7.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229)) | trans(s299, s230))),
% 8.42/7.19 inference(monotonicity,[status(thm)],[21703])).
% 8.42/7.19 tff(21705,plain,
% 8.42/7.19 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230))),
% 8.42/7.20 inference(transitivity,[status(thm)],[21704, 21018])).
% 8.42/7.20 tff(21706,plain,
% 8.42/7.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230)) | trans(s299, s231))),
% 8.42/7.21 inference(monotonicity,[status(thm)],[21705])).
% 8.42/7.21 tff(21707,plain,
% 8.42/7.21 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231))),
% 8.42/7.22 inference(transitivity,[status(thm)],[21706, 21017])).
% 8.42/7.22 tff(21708,plain,
% 8.42/7.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231)) | trans(s299, s232))),
% 8.42/7.22 inference(monotonicity,[status(thm)],[21707])).
% 8.42/7.22 tff(21709,plain,
% 8.42/7.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232))),
% 8.42/7.23 inference(transitivity,[status(thm)],[21708, 21016])).
% 8.42/7.23 tff(21710,plain,
% 8.42/7.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232)) | trans(s299, s233))),
% 8.42/7.24 inference(monotonicity,[status(thm)],[21709])).
% 8.42/7.24 tff(21711,plain,
% 8.42/7.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233))),
% 8.42/7.24 inference(transitivity,[status(thm)],[21710, 21015])).
% 8.42/7.24 tff(21712,plain,
% 8.42/7.24 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233)) | trans(s299, s234))),
% 8.42/7.25 inference(monotonicity,[status(thm)],[21711])).
% 8.42/7.25 tff(21713,plain,
% 8.42/7.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234))),
% 8.42/7.26 inference(transitivity,[status(thm)],[21712, 21014])).
% 8.42/7.26 tff(21714,plain,
% 8.42/7.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234)) | trans(s299, s235))),
% 8.42/7.26 inference(monotonicity,[status(thm)],[21713])).
% 8.42/7.26 tff(21715,plain,
% 8.42/7.26 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235))),
% 8.42/7.27 inference(transitivity,[status(thm)],[21714, 21013])).
% 8.42/7.27 tff(21716,plain,
% 8.42/7.27 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235)) | trans(s299, s236))),
% 8.42/7.28 inference(monotonicity,[status(thm)],[21715])).
% 8.42/7.28 tff(21717,plain,
% 8.42/7.28 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236))),
% 8.42/7.29 inference(transitivity,[status(thm)],[21716, 21012])).
% 8.42/7.29 tff(21718,plain,
% 8.42/7.29 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236)) | trans(s299, s237))),
% 8.42/7.30 inference(monotonicity,[status(thm)],[21717])).
% 8.42/7.30 tff(21719,plain,
% 8.42/7.30 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237))),
% 8.42/7.30 inference(transitivity,[status(thm)],[21718, 21011])).
% 8.42/7.30 tff(21720,plain,
% 8.42/7.30 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237)) | trans(s299, s238))),
% 8.54/7.31 inference(monotonicity,[status(thm)],[21719])).
% 8.54/7.31 tff(21721,plain,
% 8.54/7.31 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238))),
% 8.55/7.32 inference(transitivity,[status(thm)],[21720, 21010])).
% 8.55/7.32 tff(21722,plain,
% 8.55/7.32 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238)) | trans(s299, s239))),
% 8.56/7.33 inference(monotonicity,[status(thm)],[21721])).
% 8.56/7.33 tff(21723,plain,
% 8.56/7.33 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239))),
% 8.56/7.33 inference(transitivity,[status(thm)],[21722, 21009])).
% 8.56/7.33 tff(21724,plain,
% 8.56/7.33 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239)) | trans(s299, s240))),
% 8.56/7.34 inference(monotonicity,[status(thm)],[21723])).
% 8.56/7.34 tff(21725,plain,
% 8.56/7.34 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240))),
% 8.56/7.35 inference(transitivity,[status(thm)],[21724, 21008])).
% 8.56/7.35 tff(21726,plain,
% 8.56/7.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240)) | trans(s299, s241))),
% 8.56/7.35 inference(monotonicity,[status(thm)],[21725])).
% 8.56/7.35 tff(21727,plain,
% 8.56/7.35 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241))),
% 8.56/7.36 inference(transitivity,[status(thm)],[21726, 21007])).
% 8.56/7.36 tff(21728,plain,
% 8.56/7.36 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241)) | trans(s299, s242))),
% 8.56/7.37 inference(monotonicity,[status(thm)],[21727])).
% 8.56/7.37 tff(21729,plain,
% 8.56/7.37 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242))),
% 8.56/7.38 inference(transitivity,[status(thm)],[21728, 21006])).
% 8.56/7.38 tff(21730,plain,
% 8.56/7.38 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242)) | trans(s299, s243))),
% 8.56/7.39 inference(monotonicity,[status(thm)],[21729])).
% 8.56/7.39 tff(21731,plain,
% 8.56/7.39 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243))),
% 8.56/7.40 inference(transitivity,[status(thm)],[21730, 21005])).
% 8.56/7.40 tff(21732,plain,
% 8.56/7.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243)) | trans(s299, s244))),
% 8.56/7.40 inference(monotonicity,[status(thm)],[21731])).
% 8.56/7.40 tff(21733,plain,
% 8.56/7.40 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244))),
% 8.64/7.41 inference(transitivity,[status(thm)],[21732, 21004])).
% 8.64/7.41 tff(21734,plain,
% 8.64/7.41 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244)) | trans(s299, s245))),
% 8.64/7.42 inference(monotonicity,[status(thm)],[21733])).
% 8.64/7.42 tff(21735,plain,
% 8.64/7.42 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245))),
% 8.64/7.43 inference(transitivity,[status(thm)],[21734, 21003])).
% 8.64/7.43 tff(21736,plain,
% 8.64/7.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245)) | trans(s299, s246))),
% 8.64/7.43 inference(monotonicity,[status(thm)],[21735])).
% 8.64/7.43 tff(21737,plain,
% 8.64/7.43 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246))),
% 8.64/7.44 inference(transitivity,[status(thm)],[21736, 21002])).
% 8.64/7.44 tff(21738,plain,
% 8.64/7.44 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246)) | trans(s299, s247))),
% 8.64/7.45 inference(monotonicity,[status(thm)],[21737])).
% 8.64/7.45 tff(21739,plain,
% 8.64/7.45 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247))),
% 8.64/7.46 inference(transitivity,[status(thm)],[21738, 21001])).
% 8.64/7.46 tff(21740,plain,
% 8.64/7.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247)) | trans(s299, s248))),
% 8.64/7.46 inference(monotonicity,[status(thm)],[21739])).
% 8.64/7.46 tff(21741,plain,
% 8.64/7.46 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248))),
% 8.64/7.47 inference(transitivity,[status(thm)],[21740, 21000])).
% 8.64/7.47 tff(21742,plain,
% 8.64/7.47 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248)) | trans(s299, s249))),
% 8.72/7.48 inference(monotonicity,[status(thm)],[21741])).
% 8.72/7.48 tff(21743,plain,
% 8.72/7.48 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249))),
% 8.72/7.49 inference(transitivity,[status(thm)],[21742, 20999])).
% 8.72/7.49 tff(21744,plain,
% 8.72/7.49 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249)) | trans(s299, s250))),
% 8.72/7.50 inference(monotonicity,[status(thm)],[21743])).
% 8.72/7.50 tff(21745,plain,
% 8.72/7.50 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250))),
% 8.72/7.50 inference(transitivity,[status(thm)],[21744, 20998])).
% 8.72/7.50 tff(21746,plain,
% 8.72/7.50 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250)) | trans(s299, s251))),
% 8.72/7.51 inference(monotonicity,[status(thm)],[21745])).
% 8.72/7.51 tff(21747,plain,
% 8.72/7.51 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251))),
% 8.72/7.52 inference(transitivity,[status(thm)],[21746, 20997])).
% 8.72/7.52 tff(21748,plain,
% 8.72/7.52 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251)) | trans(s299, s252))),
% 8.72/7.53 inference(monotonicity,[status(thm)],[21747])).
% 8.72/7.53 tff(21749,plain,
% 8.72/7.53 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252))),
% 8.72/7.54 inference(transitivity,[status(thm)],[21748, 20996])).
% 8.72/7.54 tff(21750,plain,
% 8.72/7.54 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252)) | trans(s299, s253))),
% 8.72/7.55 inference(monotonicity,[status(thm)],[21749])).
% 8.72/7.55 tff(21751,plain,
% 8.72/7.55 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253))),
% 8.72/7.55 inference(transitivity,[status(thm)],[21750, 20995])).
% 8.72/7.55 tff(21752,plain,
% 8.72/7.55 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253)) | trans(s299, s254))),
% 8.72/7.56 inference(monotonicity,[status(thm)],[21751])).
% 8.72/7.56 tff(21753,plain,
% 8.72/7.56 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254))),
% 8.81/7.57 inference(transitivity,[status(thm)],[21752, 20994])).
% 8.81/7.57 tff(21754,plain,
% 8.81/7.57 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254)) | trans(s299, s255))),
% 8.81/7.58 inference(monotonicity,[status(thm)],[21753])).
% 8.81/7.58 tff(21755,plain,
% 8.81/7.58 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255))),
% 8.81/7.59 inference(transitivity,[status(thm)],[21754, 20993])).
% 8.81/7.59 tff(21756,plain,
% 8.81/7.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255)) | trans(s299, s256))),
% 8.82/7.59 inference(monotonicity,[status(thm)],[21755])).
% 8.82/7.59 tff(21757,plain,
% 8.82/7.59 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256))),
% 8.82/7.60 inference(transitivity,[status(thm)],[21756, 20992])).
% 8.82/7.60 tff(21758,plain,
% 8.82/7.60 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256)) | trans(s299, s257))),
% 8.82/7.61 inference(monotonicity,[status(thm)],[21757])).
% 8.82/7.61 tff(21759,plain,
% 8.82/7.61 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257))),
% 8.85/7.62 inference(transitivity,[status(thm)],[21758, 20991])).
% 8.85/7.62 tff(21760,plain,
% 8.85/7.62 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257)) | trans(s299, s258))),
% 8.86/7.63 inference(monotonicity,[status(thm)],[21759])).
% 8.86/7.63 tff(21761,plain,
% 8.86/7.63 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258))),
% 8.86/7.63 inference(transitivity,[status(thm)],[21760, 20990])).
% 8.86/7.63 tff(21762,plain,
% 8.86/7.63 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258)) | trans(s299, s259))),
% 8.86/7.64 inference(monotonicity,[status(thm)],[21761])).
% 8.86/7.64 tff(21763,plain,
% 8.86/7.64 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259))),
% 8.86/7.65 inference(transitivity,[status(thm)],[21762, 20989])).
% 8.86/7.65 tff(21764,plain,
% 8.86/7.65 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259)) | trans(s299, s260))),
% 8.86/7.66 inference(monotonicity,[status(thm)],[21763])).
% 8.86/7.66 tff(21765,plain,
% 8.86/7.66 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260))),
% 8.86/7.67 inference(transitivity,[status(thm)],[21764, 20988])).
% 8.86/7.67 tff(21766,plain,
% 8.86/7.67 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260)) | trans(s299, s261))),
% 8.86/7.68 inference(monotonicity,[status(thm)],[21765])).
% 8.86/7.68 tff(21767,plain,
% 8.86/7.68 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261))),
% 8.86/7.68 inference(transitivity,[status(thm)],[21766, 20987])).
% 8.86/7.68 tff(21768,plain,
% 8.86/7.68 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261)) | trans(s299, s262))),
% 8.86/7.69 inference(monotonicity,[status(thm)],[21767])).
% 8.86/7.69 tff(21769,plain,
% 8.86/7.69 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262))),
% 8.86/7.70 inference(transitivity,[status(thm)],[21768, 20986])).
% 8.86/7.70 tff(21770,plain,
% 8.86/7.70 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262)) | trans(s299, s263))),
% 8.94/7.71 inference(monotonicity,[status(thm)],[21769])).
% 8.94/7.71 tff(21771,plain,
% 8.94/7.71 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263))),
% 8.94/7.72 inference(transitivity,[status(thm)],[21770, 20985])).
% 8.94/7.72 tff(21772,plain,
% 8.94/7.72 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263)) | trans(s299, s264))),
% 8.94/7.73 inference(monotonicity,[status(thm)],[21771])).
% 8.94/7.73 tff(21773,plain,
% 8.94/7.73 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264))),
% 8.94/7.73 inference(transitivity,[status(thm)],[21772, 20984])).
% 8.94/7.73 tff(21774,plain,
% 8.94/7.73 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264)) | trans(s299, s265))),
% 8.94/7.74 inference(monotonicity,[status(thm)],[21773])).
% 8.94/7.74 tff(21775,plain,
% 8.94/7.74 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265))),
% 8.94/7.75 inference(transitivity,[status(thm)],[21774, 20983])).
% 8.94/7.75 tff(21776,plain,
% 8.94/7.75 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265)) | trans(s299, s266))),
% 8.94/7.76 inference(monotonicity,[status(thm)],[21775])).
% 8.94/7.76 tff(21777,plain,
% 8.94/7.76 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266))),
% 8.94/7.77 inference(transitivity,[status(thm)],[21776, 20982])).
% 8.94/7.77 tff(21778,plain,
% 8.94/7.77 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266)) | trans(s299, s267))),
% 8.94/7.78 inference(monotonicity,[status(thm)],[21777])).
% 8.94/7.78 tff(21779,plain,
% 8.94/7.78 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267))),
% 9.02/7.79 inference(transitivity,[status(thm)],[21778, 20981])).
% 9.02/7.79 tff(21780,plain,
% 9.02/7.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267)) | trans(s299, s268))),
% 9.02/7.79 inference(monotonicity,[status(thm)],[21779])).
% 9.02/7.79 tff(21781,plain,
% 9.02/7.79 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268))),
% 9.02/7.80 inference(transitivity,[status(thm)],[21780, 20980])).
% 9.02/7.80 tff(21782,plain,
% 9.02/7.80 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268)) | trans(s299, s269))),
% 9.02/7.81 inference(monotonicity,[status(thm)],[21781])).
% 9.02/7.81 tff(21783,plain,
% 9.02/7.81 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269))),
% 9.02/7.82 inference(transitivity,[status(thm)],[21782, 20979])).
% 9.02/7.82 tff(21784,plain,
% 9.02/7.82 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269)) | trans(s299, s270))),
% 9.02/7.83 inference(monotonicity,[status(thm)],[21783])).
% 9.02/7.83 tff(21785,plain,
% 9.02/7.83 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270))),
% 9.02/7.83 inference(transitivity,[status(thm)],[21784, 20978])).
% 9.02/7.83 tff(21786,plain,
% 9.02/7.83 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270)) | trans(s299, s271))),
% 9.02/7.84 inference(monotonicity,[status(thm)],[21785])).
% 9.02/7.84 tff(21787,plain,
% 9.02/7.84 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271))),
% 9.02/7.85 inference(transitivity,[status(thm)],[21786, 20977])).
% 9.02/7.85 tff(21788,plain,
% 9.02/7.85 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271)) | trans(s299, s272))),
% 9.02/7.86 inference(monotonicity,[status(thm)],[21787])).
% 9.02/7.86 tff(21789,plain,
% 9.02/7.86 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272))),
% 9.02/7.87 inference(transitivity,[status(thm)],[21788, 20976])).
% 9.02/7.87 tff(21790,plain,
% 9.02/7.87 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272)) | trans(s299, s273))),
% 9.02/7.88 inference(monotonicity,[status(thm)],[21789])).
% 9.02/7.88 tff(21791,plain,
% 9.02/7.88 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273))),
% 9.12/7.89 inference(transitivity,[status(thm)],[21790, 20975])).
% 9.12/7.89 tff(21792,plain,
% 9.12/7.89 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273)) | trans(s299, s274))),
% 9.12/7.89 inference(monotonicity,[status(thm)],[21791])).
% 9.12/7.90 tff(21793,plain,
% 9.12/7.90 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274))),
% 9.14/7.90 inference(transitivity,[status(thm)],[21792, 20974])).
% 9.14/7.90 tff(21794,plain,
% 9.14/7.90 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274)) | trans(s299, s275))),
% 9.14/7.91 inference(monotonicity,[status(thm)],[21793])).
% 9.14/7.91 tff(21795,plain,
% 9.14/7.91 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275))),
% 9.14/7.93 inference(transitivity,[status(thm)],[21794, 20973])).
% 9.14/7.93 tff(21796,plain,
% 9.14/7.93 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275)) | trans(s299, s276))),
% 9.17/7.93 inference(monotonicity,[status(thm)],[21795])).
% 9.17/7.93 tff(21797,plain,
% 9.17/7.93 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276))),
% 9.17/7.94 inference(transitivity,[status(thm)],[21796, 20972])).
% 9.17/7.94 tff(21798,plain,
% 9.17/7.94 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276)) | trans(s299, s277))),
% 9.17/7.95 inference(monotonicity,[status(thm)],[21797])).
% 9.17/7.95 tff(21799,plain,
% 9.17/7.95 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277))),
% 9.17/7.96 inference(transitivity,[status(thm)],[21798, 20971])).
% 9.17/7.96 tff(21800,plain,
% 9.17/7.96 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277)) | trans(s299, s278))),
% 9.17/7.97 inference(monotonicity,[status(thm)],[21799])).
% 9.17/7.97 tff(21801,plain,
% 9.17/7.97 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278))),
% 9.17/7.98 inference(transitivity,[status(thm)],[21800, 20970])).
% 9.17/7.98 tff(21802,plain,
% 9.17/7.98 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278)) | trans(s299, s279))),
% 9.17/7.99 inference(monotonicity,[status(thm)],[21801])).
% 9.17/7.99 tff(21803,plain,
% 9.17/7.99 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279))),
% 9.17/8.00 inference(transitivity,[status(thm)],[21802, 20969])).
% 9.17/8.00 tff(21804,plain,
% 9.17/8.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279)) | trans(s299, s280))),
% 9.17/8.00 inference(monotonicity,[status(thm)],[21803])).
% 9.17/8.00 tff(21805,plain,
% 9.17/8.00 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280))),
% 9.17/8.01 inference(transitivity,[status(thm)],[21804, 20968])).
% 9.17/8.01 tff(21806,plain,
% 9.17/8.01 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280)) | trans(s299, s281))),
% 9.26/8.02 inference(monotonicity,[status(thm)],[21805])).
% 9.26/8.02 tff(21807,plain,
% 9.26/8.02 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281))),
% 9.26/8.03 inference(transitivity,[status(thm)],[21806, 20967])).
% 9.26/8.03 tff(21808,plain,
% 9.26/8.03 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281)) | trans(s299, s282))),
% 9.26/8.04 inference(monotonicity,[status(thm)],[21807])).
% 9.26/8.04 tff(21809,plain,
% 9.26/8.04 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282))),
% 9.26/8.05 inference(transitivity,[status(thm)],[21808, 20966])).
% 9.26/8.05 tff(21810,plain,
% 9.26/8.05 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282)) | trans(s299, s283))),
% 9.26/8.06 inference(monotonicity,[status(thm)],[21809])).
% 9.26/8.06 tff(21811,plain,
% 9.26/8.06 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283))),
% 9.26/8.07 inference(transitivity,[status(thm)],[21810, 20965])).
% 9.26/8.07 tff(21812,plain,
% 9.26/8.07 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283)) | trans(s299, s284))),
% 9.26/8.08 inference(monotonicity,[status(thm)],[21811])).
% 9.26/8.08 tff(21813,plain,
% 9.26/8.08 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284))),
% 9.26/8.08 inference(transitivity,[status(thm)],[21812, 20964])).
% 9.26/8.08 tff(21814,plain,
% 9.26/8.08 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284)) | trans(s299, s285))),
% 9.33/8.09 inference(monotonicity,[status(thm)],[21813])).
% 9.33/8.09 tff(21815,plain,
% 9.33/8.09 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285))),
% 9.33/8.10 inference(transitivity,[status(thm)],[21814, 20963])).
% 9.33/8.10 tff(21816,plain,
% 9.33/8.10 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285)) | trans(s299, s286))),
% 9.33/8.11 inference(monotonicity,[status(thm)],[21815])).
% 9.33/8.11 tff(21817,plain,
% 9.33/8.11 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286))),
% 9.33/8.12 inference(transitivity,[status(thm)],[21816, 20962])).
% 9.33/8.12 tff(21818,plain,
% 9.33/8.12 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286)) | trans(s299, s287))),
% 9.33/8.13 inference(monotonicity,[status(thm)],[21817])).
% 9.33/8.13 tff(21819,plain,
% 9.33/8.13 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287))),
% 9.33/8.14 inference(transitivity,[status(thm)],[21818, 20961])).
% 9.33/8.14 tff(21820,plain,
% 9.33/8.14 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287)) | trans(s299, s288))),
% 9.33/8.15 inference(monotonicity,[status(thm)],[21819])).
% 9.33/8.15 tff(21821,plain,
% 9.33/8.15 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288))),
% 9.33/8.16 inference(transitivity,[status(thm)],[21820, 20960])).
% 9.33/8.16 tff(21822,plain,
% 9.33/8.16 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288)) | trans(s299, s289))),
% 9.40/8.17 inference(monotonicity,[status(thm)],[21821])).
% 9.40/8.17 tff(21823,plain,
% 9.40/8.17 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289))),
% 9.41/8.18 inference(transitivity,[status(thm)],[21822, 20959])).
% 9.41/8.18 tff(21824,plain,
% 9.41/8.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289)) | trans(s299, s290))),
% 9.41/8.18 inference(monotonicity,[status(thm)],[21823])).
% 9.41/8.18 tff(21825,plain,
% 9.41/8.18 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290))),
% 9.41/8.19 inference(transitivity,[status(thm)],[21824, 20958])).
% 9.41/8.19 tff(21826,plain,
% 9.41/8.19 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290)) | trans(s299, s291))),
% 9.44/8.20 inference(monotonicity,[status(thm)],[21825])).
% 9.44/8.20 tff(21827,plain,
% 9.44/8.20 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291))),
% 9.44/8.21 inference(transitivity,[status(thm)],[21826, 20957])).
% 9.44/8.21 tff(21828,plain,
% 9.44/8.21 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291)) | trans(s299, s292))),
% 9.44/8.22 inference(monotonicity,[status(thm)],[21827])).
% 9.44/8.22 tff(21829,plain,
% 9.44/8.22 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292))),
% 9.47/8.23 inference(transitivity,[status(thm)],[21828, 20956])).
% 9.47/8.23 tff(21830,plain,
% 9.47/8.23 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292)) | trans(s299, s293))),
% 9.47/8.24 inference(monotonicity,[status(thm)],[21829])).
% 9.47/8.24 tff(21831,plain,
% 9.47/8.24 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293))),
% 9.47/8.25 inference(transitivity,[status(thm)],[21830, 20955])).
% 9.47/8.25 tff(21832,plain,
% 9.47/8.25 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) | trans(s299, s294)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293)) | trans(s299, s294))),
% 9.47/8.26 inference(monotonicity,[status(thm)],[21831])).
% 9.47/8.26 tff(21833,plain,
% 9.47/8.26 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) | trans(s299, s294)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294))),
% 9.47/8.27 inference(transitivity,[status(thm)],[21832, 20954])).
% 9.47/8.27 tff(21834,plain,
% 9.47/8.27 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) | trans(s299, s294)) | trans(s299, s295)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294)) | trans(s299, s295))),
% 9.47/8.28 inference(monotonicity,[status(thm)],[21833])).
% 9.47/8.28 tff(21835,plain,
% 9.47/8.28 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) | trans(s299, s294)) | trans(s299, s295)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295))),
% 9.47/8.29 inference(transitivity,[status(thm)],[21834, 20953])).
% 9.47/8.29 tff(21836,plain,
% 9.47/8.29 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) | trans(s299, s294)) | trans(s299, s295)) | trans(s299, s296)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295)) | trans(s299, s296))),
% 9.47/8.30 inference(monotonicity,[status(thm)],[21835])).
% 9.47/8.30 tff(21837,plain,
% 9.47/8.30 (((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) | trans(s299, s294)) | trans(s299, s295)) | trans(s299, s296)) <=> ((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296))),
% 9.47/8.31 inference(transitivity,[status(thm)],[21836, 20952])).
% 9.47/8.31 tff(21838,plain,
% 9.47/8.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) | trans(s299, s294)) | trans(s299, s295)) | trans(s299, s296)) | trans(s299, s297)) <=> (((~loop) | trans(s299, s0) | trans(s299, s1) | trans(s299, s2) | trans(s299, s3) | trans(s299, s4) | trans(s299, s5) | trans(s299, s6) | trans(s299, s7) | trans(s299, s8) | trans(s299, s9) | trans(s299, s10) | trans(s299, s11) | trans(s299, s12) | trans(s299, s13) | trans(s299, s14) | trans(s299, s15) | trans(s299, s16) | trans(s299, s17) | trans(s299, s18) | trans(s299, s19) | trans(s299, s20) | trans(s299, s21) | trans(s299, s22) | trans(s299, s23) | trans(s299, s24) | trans(s299, s25) | trans(s299, s26) | trans(s299, s27) | trans(s299, s28) | trans(s299, s29) | trans(s299, s30) | trans(s299, s31) | trans(s299, s32) | trans(s299, s33) | trans(s299, s34) | trans(s299, s35) | trans(s299, s36) | trans(s299, s37) | trans(s299, s38) | trans(s299, s39) | trans(s299, s40) | trans(s299, s41) | trans(s299, s42) | trans(s299, s43) | trans(s299, s44) | trans(s299, s45) | trans(s299, s46) | trans(s299, s47) | trans(s299, s48) | trans(s299, s49) | trans(s299, s50) | trans(s299, s51) | trans(s299, s52) | trans(s299, s53) | trans(s299, s54) | trans(s299, s55) | trans(s299, s56) | trans(s299, s57) | trans(s299, s58) | trans(s299, s59) | trans(s299, s60) | trans(s299, s61) | trans(s299, s62) | trans(s299, s63) | trans(s299, s64) | trans(s299, s65) | trans(s299, s66) | trans(s299, s67) | trans(s299, s68) | trans(s299, s69) | trans(s299, s70) | trans(s299, s71) | trans(s299, s72) | trans(s299, s73) | trans(s299, s74) | trans(s299, s75) | trans(s299, s76) | trans(s299, s77) | trans(s299, s78) | trans(s299, s79) | trans(s299, s80) | trans(s299, s81) | trans(s299, s82) | trans(s299, s83) | trans(s299, s84) | trans(s299, s85) | trans(s299, s86) | trans(s299, s87) | trans(s299, s88) | trans(s299, s89) | trans(s299, s90) | trans(s299, s91) | trans(s299, s92) | trans(s299, s93) | trans(s299, s94) | trans(s299, s95) | trans(s299, s96) | trans(s299, s97) | trans(s299, s98) | trans(s299, s99) | trans(s299, s100) | trans(s299, s101) | trans(s299, s102) | trans(s299, s103) | trans(s299, s104) | trans(s299, s105) | trans(s299, s106) | trans(s299, s107) | trans(s299, s108) | trans(s299, s109) | trans(s299, s110) | trans(s299, s111) | trans(s299, s112) | trans(s299, s113) | trans(s299, s114) | trans(s299, s115) | trans(s299, s116) | trans(s299, s117) | trans(s299, s118) | trans(s299, s119) | trans(s299, s120) | trans(s299, s121) | trans(s299, s122) | trans(s299, s123) | trans(s299, s124) | trans(s299, s125) | trans(s299, s126) | trans(s299, s127) | trans(s299, s128) | trans(s299, s129) | trans(s299, s130) | trans(s299, s131) | trans(s299, s132) | trans(s299, s133) | trans(s299, s134) | trans(s299, s135) | trans(s299, s136) | trans(s299, s137) | trans(s299, s138) | trans(s299, s139) | trans(s299, s140) | trans(s299, s141) | trans(s299, s142) | trans(s299, s143) | trans(s299, s144) | trans(s299, s145) | trans(s299, s146) | trans(s299, s147) | trans(s299, s148) | trans(s299, s149) | trans(s299, s150) | trans(s299, s151) | trans(s299, s152) | trans(s299, s153) | trans(s299, s154) | trans(s299, s155) | trans(s299, s156) | trans(s299, s157) | trans(s299, s158) | trans(s299, s159) | trans(s299, s160) | trans(s299, s161) | trans(s299, s162) | trans(s299, s163) | trans(s299, s164) | trans(s299, s165) | trans(s299, s166) | trans(s299, s167) | trans(s299, s168) | trans(s299, s169) | trans(s299, s170) | trans(s299, s171) | trans(s299, s172) | trans(s299, s173) | trans(s299, s174) | trans(s299, s175) | trans(s299, s176) | trans(s299, s177) | trans(s299, s178) | trans(s299, s179) | trans(s299, s180) | trans(s299, s181) | trans(s299, s182) | trans(s299, s183) | trans(s299, s184) | trans(s299, s185) | trans(s299, s186) | trans(s299, s187) | trans(s299, s188) | trans(s299, s189) | trans(s299, s190) | trans(s299, s191) | trans(s299, s192) | trans(s299, s193) | trans(s299, s194) | trans(s299, s195) | trans(s299, s196) | trans(s299, s197) | trans(s299, s198) | trans(s299, s199) | trans(s299, s200) | trans(s299, s201) | trans(s299, s202) | trans(s299, s203) | trans(s299, s204) | trans(s299, s205) | trans(s299, s206) | trans(s299, s207) | trans(s299, s208) | trans(s299, s209) | trans(s299, s210) | trans(s299, s211) | trans(s299, s212) | trans(s299, s213) | trans(s299, s214) | trans(s299, s215) | trans(s299, s216) | trans(s299, s217) | trans(s299, s218) | trans(s299, s219) | trans(s299, s220) | trans(s299, s221) | trans(s299, s222) | trans(s299, s223) | trans(s299, s224) | trans(s299, s225) | trans(s299, s226) | trans(s299, s227) | trans(s299, s228) | trans(s299, s229) | trans(s299, s230) | trans(s299, s231) | trans(s299, s232) | trans(s299, s233) | trans(s299, s234) | trans(s299, s235) | trans(s299, s236) | trans(s299, s237) | trans(s299, s238) | trans(s299, s239) | trans(s299, s240) | trans(s299, s241) | trans(s299, s242) | trans(s299, s243) | trans(s299, s244) | trans(s299, s245) | trans(s299, s246) | trans(s299, s247) | trans(s299, s248) | trans(s299, s249) | trans(s299, s250) | trans(s299, s251) | trans(s299, s252) | trans(s299, s253) | trans(s299, s254) | trans(s299, s255) | trans(s299, s256) | trans(s299, s257) | trans(s299, s258) | trans(s299, s259) | trans(s299, s260) | trans(s299, s261) | trans(s299, s262) | trans(s299, s263) | trans(s299, s264) | trans(s299, s265) | trans(s299, s266) | trans(s299, s267) | trans(s299, s268) | trans(s299, s269) | trans(s299, s270) | trans(s299, s271) | trans(s299, s272) | trans(s299, s273) | trans(s299, s274) | trans(s299, s275) | trans(s299, s276) | trans(s299, s277) | trans(s299, s278) | trans(s299, s279) | trans(s299, s280) | trans(s299, s281) | trans(s299, s282) | trans(s299, s283) | trans(s299, s284) | trans(s299, s285) | trans(s299, s286) | trans(s299, s287) | trans(s299, s288) | trans(s299, s289) | trans(s299, s290) | trans(s299, s291) | trans(s299, s292) | trans(s299, s293) | trans(s299, s294) | trans(s299, s295) | trans(s299, s296)) | trans(s299, s297))),
% 9.47/8.31 inference(monotonicity,[status(thm)],[21837])).
% 9.47/8.31 tff(21839,plain,
% 9.47/8.31 ((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((~loop) | trans(s299, s0)) | trans(s299, s1)) | trans(s299, s2)) | trans(s299, s3)) | trans(s299, s4)) | trans(s299, s5)) | trans(s299, s6)) | trans(s299, s7)) | trans(s299, s8)) | trans(s299, s9)) | trans(s299, s10)) | trans(s299, s11)) | trans(s299, s12)) | trans(s299, s13)) | trans(s299, s14)) | trans(s299, s15)) | trans(s299, s16)) | trans(s299, s17)) | trans(s299, s18)) | trans(s299, s19)) | trans(s299, s20)) | trans(s299, s21)) | trans(s299, s22)) | trans(s299, s23)) | trans(s299, s24)) | trans(s299, s25)) | trans(s299, s26)) | trans(s299, s27)) | trans(s299, s28)) | trans(s299, s29)) | trans(s299, s30)) | trans(s299, s31)) | trans(s299, s32)) | trans(s299, s33)) | trans(s299, s34)) | trans(s299, s35)) | trans(s299, s36)) | trans(s299, s37)) | trans(s299, s38)) | trans(s299, s39)) | trans(s299, s40)) | trans(s299, s41)) | trans(s299, s42)) | trans(s299, s43)) | trans(s299, s44)) | trans(s299, s45)) | trans(s299, s46)) | trans(s299, s47)) | trans(s299, s48)) | trans(s299, s49)) | trans(s299, s50)) | trans(s299, s51)) | trans(s299, s52)) | trans(s299, s53)) | trans(s299, s54)) | trans(s299, s55)) | trans(s299, s56)) | trans(s299, s57)) | trans(s299, s58)) | trans(s299, s59)) | trans(s299, s60)) | trans(s299, s61)) | trans(s299, s62)) | trans(s299, s63)) | trans(s299, s64)) | trans(s299, s65)) | trans(s299, s66)) | trans(s299, s67)) | trans(s299, s68)) | trans(s299, s69)) | trans(s299, s70)) | trans(s299, s71)) | trans(s299, s72)) | trans(s299, s73)) | trans(s299, s74)) | trans(s299, s75)) | trans(s299, s76)) | trans(s299, s77)) | trans(s299, s78)) | trans(s299, s79)) | trans(s299, s80)) | trans(s299, s81)) | trans(s299, s82)) | trans(s299, s83)) | trans(s299, s84)) | trans(s299, s85)) | trans(s299, s86)) | trans(s299, s87)) | trans(s299, s88)) | trans(s299, s89)) | trans(s299, s90)) | trans(s299, s91)) | trans(s299, s92)) | trans(s299, s93)) | trans(s299, s94)) | trans(s299, s95)) | trans(s299, s96)) | trans(s299, s97)) | trans(s299, s98)) | trans(s299, s99)) | trans(s299, s100)) | trans(s299, s101)) | trans(s299, s102)) | trans(s299, s103)) | trans(s299, s104)) | trans(s299, s105)) | trans(s299, s106)) | trans(s299, s107)) | trans(s299, s108)) | trans(s299, s109)) | trans(s299, s110)) | trans(s299, s111)) | trans(s299, s112)) | trans(s299, s113)) | trans(s299, s114)) | trans(s299, s115)) | trans(s299, s116)) | trans(s299, s117)) | trans(s299, s118)) | trans(s299, s119)) | trans(s299, s120)) | trans(s299, s121)) | trans(s299, s122)) | trans(s299, s123)) | trans(s299, s124)) | trans(s299, s125)) | trans(s299, s126)) | trans(s299, s127)) | trans(s299, s128)) | trans(s299, s129)) | trans(s299, s130)) | trans(s299, s131)) | trans(s299, s132)) | trans(s299, s133)) | trans(s299, s134)) | trans(s299, s135)) | trans(s299, s136)) | trans(s299, s137)) | trans(s299, s138)) | trans(s299, s139)) | trans(s299, s140)) | trans(s299, s141)) | trans(s299, s142)) | trans(s299, s143)) | trans(s299, s144)) | trans(s299, s145)) | trans(s299, s146)) | trans(s299, s147)) | trans(s299, s148)) | trans(s299, s149)) | trans(s299, s150)) | trans(s299, s151)) | trans(s299, s152)) | trans(s299, s153)) | trans(s299, s154)) | trans(s299, s155)) | trans(s299, s156)) | trans(s299, s157)) | trans(s299, s158)) | trans(s299, s159)) | trans(s299, s160)) | trans(s299, s161)) | trans(s299, s162)) | trans(s299, s163)) | trans(s299, s164)) | trans(s299, s165)) | trans(s299, s166)) | trans(s299, s167)) | trans(s299, s168)) | trans(s299, s169)) | trans(s299, s170)) | trans(s299, s171)) | trans(s299, s172)) | trans(s299, s173)) | trans(s299, s174)) | trans(s299, s175)) | trans(s299, s176)) | trans(s299, s177)) | trans(s299, s178)) | trans(s299, s179)) | trans(s299, s180)) | trans(s299, s181)) | trans(s299, s182)) | trans(s299, s183)) | trans(s299, s184)) | trans(s299, s185)) | trans(s299, s186)) | trans(s299, s187)) | trans(s299, s188)) | trans(s299, s189)) | trans(s299, s190)) | trans(s299, s191)) | trans(s299, s192)) | trans(s299, s193)) | trans(s299, s194)) | trans(s299, s195)) | trans(s299, s196)) | trans(s299, s197)) | trans(s299, s198)) | trans(s299, s199)) | trans(s299, s200)) | trans(s299, s201)) | trans(s299, s202)) | trans(s299, s203)) | trans(s299, s204)) | trans(s299, s205)) | trans(s299, s206)) | trans(s299, s207)) | trans(s299, s208)) | trans(s299, s209)) | trans(s299, s210)) | trans(s299, s211)) | trans(s299, s212)) | trans(s299, s213)) | trans(s299, s214)) | trans(s299, s215)) | trans(s299, s216)) | trans(s299, s217)) | trans(s299, s218)) | trans(s299, s219)) | trans(s299, s220)) | trans(s299, s221)) | trans(s299, s222)) | trans(s299, s223)) | trans(s299, s224)) | trans(s299, s225)) | trans(s299, s226)) | trans(s299, s227)) | trans(s299, s228)) | trans(s299, s229)) | trans(s299, s230)) | trans(s299, s231)) | trans(s299, s232)) | trans(s299, s233)) | trans(s299, s234)) | trans(s299, s235)) | trans(s299, s236)) | trans(s299, s237)) | trans(s299, s238)) | trans(s299, s239)) | trans(s299, s240)) | trans(s299, s241)) | trans(s299, s242)) | trans(s299, s243)) | trans(s299, s244)) | trans(s299, s245)) | trans(s299, s246)) | trans(s299, s247)) | trans(s299, s248)) | trans(s299, s249)) | trans(s299, s250)) | trans(s299, s251)) | trans(s299, s252)) | trans(s299, s253)) | trans(s299, s254)) | trans(s299, s255)) | trans(s299, s256)) | trans(s299, s257)) | trans(s299, s258)) | trans(s299, s259)) | trans(s299, s260)) | trans(s299, s261)) | trans(s299, s262)) | trans(s299, s263)) | trans(s299, s264)) | trans(s299, s265)) | trans(s299, s266)) | trans(s299, s267)) | trans(s299, s268)) | trans(s299, s269)) | trans(s299, s270)) | trans(s299, s271)) | trans(s299, s272)) | trans(s299, s273)) | trans(s299, s274)) | trans(s299, s275)) | trans(s299, s276)) | trans(s299, s277)) | trans(s299, s278)) | trans(s299, s279)) | trans(s299, s280)) | trans(s299, s281)) | trans(s299, s282)) | trans(s299, s283)) | trans(s299, s284)) | trans(s299, s285)) | trans(s299, s286)) | trans(s299, s287)) | trans(s299, s288)) | trans(s299, s289)) | trans(s299, s290)) | trans(s299, s291)) | trans(s299, s292)) | trans(s299, s293)) | trans(s299, s294)) | trans(s299, s295)) | trans(s299, s296)) | trans(s299, s297)) <